9545309360

Committed 16 Jun 2024 08:38PM UTC coverage: 12.262% (-0.01%) from 12.274%

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Translate stellarium-remotecontrol.pot in gl

100% translated source file: 'stellarium-remotecontrol.pot'
on 'gl'.

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/plugins/Satellites/src/Satellite.cpp

/*
 * Stellarium
 * Copyright (C) 2009, 2012 Matthew Gates
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA  02110-1335, USA.
 */

#include "Satellite.hpp"
#include "StelObject.hpp"
//#include "StelObjectMgr.hpp"
#include "StelPainter.hpp"
#include "StelApp.hpp"
#include "StelCore.hpp"
#include "VecMath.hpp"
#include "StelUtils.hpp"
#include "StelTranslator.hpp"
#include "StelModuleMgr.hpp"
#include "StelLocaleMgr.hpp"

#include <QTextStream>
#include <QDebug>
#include <QVariant>
#include <QSettings>
#include <QByteArray>

#include <QVector3D>
#include <QMatrix4x4>

#include "gsatellite/gTime.hpp"
//#include "gsatellite/stdsat.h"

#include <cmath>

#define sqr(a) ((a)*(a))

const QString Satellite::SATELLITE_TYPE = QStringLiteral("Satellite");

// static data members - will be initialised in the Satellites class (the StelObjectMgr)
StelTextureSP Satellite::hintTexture;
bool Satellite::showLabels = true;
float Satellite::hintBrightness = 0.f;
float Satellite::hintScale = 1.f;
SphericalCap Satellite::viewportHalfspace = SphericalCap();
int Satellite::orbitLineSegments = 90;
int Satellite::orbitLineFadeSegments = 4;
int Satellite::orbitLineSegmentDuration = 20;
int Satellite::orbitLineThickness = 1;
bool Satellite::orbitLinesFlag = true;
bool Satellite::iconicModeFlag = false;
bool Satellite::hideInvisibleSatellitesFlag = false;
bool Satellite::coloredInvisibleSatellitesFlag = true;
Vec3f Satellite::invisibleSatelliteColor = Vec3f(0.2f,0.2f,0.2f);
Vec3f Satellite::transitSatelliteColor = Vec3f(0.f,0.f,0.f);
double Satellite::timeRateLimit = 1.0; // one JD per second by default
int Satellite::tleEpochAge = 30; // default age of TLE's epoch to mark TLE as outdated (used for filters)

bool Satellite::flagCFKnownStdMagnitude = false;
bool Satellite::flagCFApogee = false;
double Satellite::minCFApogee = 20000.;
double Satellite::maxCFApogee = 55000.;
bool Satellite::flagCFPerigee = false;
double Satellite::minCFPerigee = 200.;
double Satellite::maxCFPerigee = 1500.;
bool Satellite::flagCFEccentricity = false;
double Satellite::minCFEccentricity = 0.3;
double Satellite::maxCFEccentricity = 0.9;
bool Satellite::flagCFPeriod = false;
double Satellite::minCFPeriod = 0.;
double Satellite::maxCFPeriod = 150.;
bool Satellite::flagCFInclination = false;
double Satellite::minCFInclination = 120.;
double Satellite::maxCFInclination = 360.;
bool Satellite::flagCFRCS = false;
double Satellite::minCFRCS = 0.1;
double Satellite::maxCFRCS = 100.;
bool Satellite::flagVFAltitude = false;
double Satellite::minVFAltitude = 200.;
double Satellite::maxVFAltitude = 500.;
bool Satellite::flagVFMagnitude = false;
double Satellite::minVFMagnitude = 8.;
double Satellite::maxVFMagnitude = -8.;

#if (SATELLITES_PLUGIN_IRIDIUM == 1)
double Satellite::sunReflAngle = 180.;
//double Satellite::timeShift = 0.;
#endif

Satellite::Satellite(const QString& identifier, const QVariantMap& map)
        : initialized(false)
        , displayed(false)
        , orbitDisplayed(false)
        , userDefined(false)
        , newlyAdded(false)
        , orbitValid(false)
        , jdLaunchYearJan1(0)
        , stdMag(99.)
        , RCS(-1.)
        , status(StatusUnknown)
        , height(0.)
        , range(0.)
        , rangeRate(0.)
        , hintColor(0.f,0.f,0.f)
        , lastUpdated()        
        , isISS(false)
        , isStarlink(false)
        , pSatWrapper(nullptr)
        , visibility(gSatWrapper::UNKNOWN)
        , phaseAngle(0.)
        , infoColor(0.f,0.f,0.f)
        , orbitColor(0.f,0.f,0.f)
        , lastEpochCompForOrbit(0.)
        , epochTime(0.)
{
        // return initialized if the mandatory fields are not present
        if (identifier.isEmpty())
                return;
        if (!map.contains("name") || !map.contains("tle1") || !map.contains("tle2"))
                return;

        id = identifier;
        name  = map.value("name").toString();
        if (name.isEmpty())
                return;
        
        // If there are no such keys, these will be initialized with the default
        // values given them above.
        description = map.value("description", description).toString().trimmed();
        displayed = map.value("visible", displayed).toBool();
        orbitDisplayed = map.value("orbitVisible", orbitDisplayed).toBool();
        userDefined = map.value("userDefined", userDefined).toBool();
        stdMag = map.value("stdMag", 99.).toDouble();
        RCS = map.value("rcs", -1.).toDouble();
        status = map.value("status", StatusUnknown).toInt();
        // Satellite hint color
        QVariantList list = map.value("hintColor", QVariantList()).toList();
        if (list.count() == 3)
        {
                hintColor[0] = list.at(0).toFloat();
                hintColor[1] = list.at(1).toFloat();
                hintColor[2] = list.at(2).toFloat();
        }

        // Satellite orbit section color
        list = map.value("orbitColor", QVariantList()).toList();
        if (list.count() == 3)
        {
                orbitColor[0] = list.at(0).toFloat();
                orbitColor[1] = list.at(1).toFloat();
                orbitColor[2] = list.at(2).toFloat();
        }
        else
        {
                orbitColor = hintColor;
        }

        // Satellite info color
        list = map.value("infoColor", QVariantList()).toList();
        if (list.count() == 3)
        {
                infoColor[0] = list.at(0).toFloat();
                infoColor[1] = list.at(1).toFloat();
                infoColor[2] = list.at(2).toFloat();
        }
        else
        {
                infoColor = hintColor;
        }

        if (map.contains("comms"))
        {
                for (const auto& comm : map.value("comms").toList())
                {
                        QVariantMap commMap = comm.toMap();
                        CommLink c;
                        c.frequency = commMap.value("frequency").toDouble(); // required!
                        if (commMap.contains("modulation")) c.modulation = commMap.value("modulation").toString();
                        if (commMap.contains("description")) c.description = commMap.value("description").toString();
                        comms.append(c);
                }
        }

        QVariantList groupList =  map.value("groups", QVariantList()).toList();
        if (!groupList.isEmpty())
        {
                for (const auto& group : std::as_const(groupList))
                        groups.insert(group.toString());
        }

        // TODO: Somewhere here - some kind of TLE validation.
        QString line1 = map.value("tle1").toString();
        QString line2 = map.value("tle2").toString();
        setNewTleElements(line1, line2);
        // This also sets the international designator and launch year.

        QString dateString = map.value("lastUpdated").toString();
        if (!dateString.isEmpty())
                lastUpdated = QDateTime::fromString(dateString, Qt::ISODate);

        orbitValid = true;
        initialized = true;
        isISS = (name.compare("25544"));
        isStarlink = (name.startsWith("STARLINK"));
        moon = GETSTELMODULE(SolarSystem)->getMoon();
        sun = GETSTELMODULE(SolarSystem)->getSun();

        visibilityDescription={
                { gSatWrapper::RADAR_SUN,        N_("The satellite and the observer are in sunlight") },
                { gSatWrapper::VISIBLE,                N_("The satellite is sunlit and the observer is in the dark") },
                { gSatWrapper::RADAR_NIGHT,        N_("The satellite isn't sunlit") },
                { gSatWrapper::PENUMBRAL,        N_("The satellite is in penumbra") },
                { gSatWrapper::ANNULAR,                N_("The satellite is eclipsed") },
                { gSatWrapper::BELOW_HORIZON,   N_("The satellite is below the horizon") }
        };

        update(0.);
}

Satellite::~Satellite()
{
        if (pSatWrapper)
        {
                delete pSatWrapper;
                pSatWrapper = nullptr;
        }
}

double Satellite::roundToDp(float n, int dp)
{
        // round n to dp decimal places
        return std::floor(static_cast<double>(n) * pow(10., dp) + .5) / pow(10., dp);
}

QString Satellite::getNameI18n() const
{
        return q_(name);
}

QVariantMap Satellite::getMap(void)
{
        QVariantMap map;
        map["name"] = name;        
        map["stdMag"] = stdMag;
        map["rcs"] = RCS;
        map["status"] = status;
        map["tle1"] = tleElements.first;
        map["tle2"] = tleElements.second;

        if (!description.isEmpty())
                map["description"] = description;

        map["visible"] = displayed;
        map["orbitVisible"] = orbitDisplayed;
        if (userDefined)
                map.insert("userDefined", userDefined);
        QVariantList col, orbitCol, infoCol;
        col << roundToDp(hintColor[0],3) << roundToDp(hintColor[1], 3) << roundToDp(hintColor[2], 3);
        orbitCol << roundToDp(orbitColor[0], 3) << roundToDp(orbitColor[1], 3) << roundToDp(orbitColor[2],3);
        infoCol << roundToDp(infoColor[0], 3) << roundToDp(infoColor[1], 3) << roundToDp(infoColor[2],3);
        map["hintColor"] = col;
        map["orbitColor"] = orbitCol;
        map["infoColor"] = infoCol;
        QVariantList commList;
        for (const auto& c : std::as_const(comms))
        {
                QVariantMap commMap;
                commMap["frequency"] = c.frequency;
                if (!c.modulation.isEmpty()) commMap["modulation"] = c.modulation;
                if (!c.description.isEmpty()) commMap["description"] = c.description;
                commList << commMap;
        }
        map["comms"] = commList;
        QVariantList groupList;
        for (const auto& g : std::as_const(groups))
        {
                groupList << g;
        }
        map["groups"] = groupList;

        if (!lastUpdated.isNull())
        {
                // A raw QDateTime is not a recognised JSON data type. --BM
                map["lastUpdated"] = lastUpdated.toString(Qt::ISODate);
        }

        return map;
}

float Satellite::getSelectPriority(const StelCore* core) const
{
        float limit = -10.f;
        if (flagVFAltitude) // the visual filter is enabled
                limit = (minVFAltitude<=height && height<=maxVFAltitude) ? -10.f : 50.f;

        if (flagVFMagnitude) // the visual filter is enabled
                limit = (((stdMag<99.) || (RCS>0.)) && ((maxVFMagnitude<=getVMagnitude(core)) && (getVMagnitude(core)<=minVFMagnitude))) ? -10.f : 50.f;

        return limit;
}

QString Satellite::getInfoString(const StelCore *core, const InfoStringGroup& flags) const
{
        QString str;
        QTextStream oss(&str);
        QString degree = QChar(0x00B0);
        const bool withDecimalDegree = StelApp::getInstance().getFlagShowDecimalDegrees();
        
        if (flags & Name)
        {
                oss << "<h2>" << getNameI18n() << "</h2>";
                if (!description.isEmpty())
                {
                        // Let's convert possible \n chars into <br/> in description of satellite
                        oss << q_(description).replace("\n", "<br/>") << "<br/>";
                }
        }
        
        if (flags & CatalogNumber)
        {
                QString catalogNumbers;
                if (internationalDesignator.isEmpty())
                        catalogNumbers = QString("NORAD %1").arg(id);
                else
                        catalogNumbers = QString("NORAD %1; %2 (COSPAR/NSSDC): %3").arg(id, q_("International Designator"), internationalDesignator);
                oss << catalogNumbers << "<br/><br/>";
        }

        if (flags & ObjectType)
                oss << QString("%1: <b>%2</b>").arg(q_("Type"), getObjectTypeI18n())  << "<br/>";
        
        if ((flags & Magnitude) && ((stdMag<99.) || (RCS>0.)) && (visibility==gSatWrapper::VISIBLE))
        {
                const int decimals = 2;
                const float airmass = getAirmass(core);
                oss << QString("%1: <b>%2</b>").arg(q_("Approx. magnitude"), QString::number(getVMagnitude(core), 'f', decimals));
                if (airmass>-1.f) // Don't show extincted magnitude much below horizon where model is meaningless.
                        oss << QString(" (%1 <b>%2</b> %3 <b>%4</b> %5)").arg(q_("reduced to"), QString::number(getVMagnitudeWithExtinction(core), 'f', decimals), q_("by"), QString::number(airmass, 'f', decimals), q_("Airmasses"));
                oss << "<br />";
        }

        // Ra/Dec etc.
        oss << getCommonInfoString(core, flags);

        if (flags&Distance)
        {
                QString km = qc_("km", "distance");
                // TRANSLATORS: Slant range: distance between the satellite and the observer
                oss << QString("%1: %2 %3").arg(q_("Range")).arg(qRound(range)).arg(km) << "<br/>";
                // TRANSLATORS: Rate at which the distance changes
                oss << QString("%1: %2 %3").arg(q_("Range rate")).arg(rangeRate, 5, 'f', 3).arg(qc_("km/s", "speed")) << "<br/>";
                // TRANSLATORS: Satellite altitude
                oss << QString("%1: %2 %3").arg(q_("Altitude")).arg(qRound(height)).arg(km) << "<br/>";
                oss << QString("%1 (WGS-84): %2 %3 / %4 %5").arg(q_("Perigee/apogee altitudes")).arg(qRound(perigee)).arg(km).arg(qRound(apogee)).arg(km) << "<br/>";
        }

        if (flags&Size && RCS>0.)
        {
                const double angularSize = getAngularRadius(core)*2.*M_PI_180;
                QString sizeStr = "";
                if (withDecimalDegree)
                        sizeStr = StelUtils::radToDecDegStr(angularSize, 5, false, true);
                else
                        sizeStr = StelUtils::radToDmsPStr(angularSize, 2);
                oss << QString("%1: %2").arg(q_("Approx. angular size"), sizeStr) << "<br />";
        }

        if (flags & Extra)
        {
                double orbitalPeriod = pSatWrapper->getOrbitalPeriod();
                if (orbitalPeriod>0.0)
                {
                        // TRANSLATORS: Revolutions per day - measurement of the frequency of a rotation
                        QString rpd = qc_("rpd","frequency");
                        // TRANSLATORS: minutes - orbital period for artificial satellites
                        QString mins = qc_("min", "period");
                        oss << QString("%1: %2 %3 (%4 &mdash; %5 %6)")
                               .arg(q_("Orbital period")).arg(orbitalPeriod, 5, 'f', 2)
                               .arg(mins, StelUtils::hoursToHmsStr(orbitalPeriod/60.0, true))
                               .arg(1440.0/orbitalPeriod, 9, 'f', 5).arg(rpd) << "<br/>";
                }
                double inclination = pSatWrapper->getOrbitalInclination();
                oss << QString("%1: %2 (%3%4)").arg(q_("Inclination"), StelUtils::decDegToDmsStr(inclination), QString::number(inclination, 'f', 4), degree) << "<br/>";
                oss << QString("%1: %2&deg;/%3&deg;").arg(q_("SubPoint (Lat./Long.)")).arg(latLongSubPointPosition[0], 5, 'f', 2).arg(latLongSubPointPosition[1], 5, 'f', 3) << "<br/>";
                
                //TODO: This one can be done better
                const char* xyz = "<b>X:</b> %1, <b>Y:</b> %2, <b>Z:</b> %3";
                QString temeCoords = QString(xyz).arg(qRound(position[0])).arg(qRound(position[1])).arg(qRound(position[2]));
                // TRANSLATORS: TEME (True Equator, Mean Equinox) is an Earth-centered inertial coordinate system
                oss << QString("%1: %2 %3").arg(q_("TEME coordinates"), temeCoords, qc_("km", "distance")) << "<br/>";
                
                QString temeVel = QString(xyz).arg(velocity[0], 5, 'f', 2).arg(velocity[1], 5, 'f', 2).arg(velocity[2], 5, 'f', 2);
                // TRANSLATORS: TEME (True Equator, Mean Equinox) is an Earth-centered inertial coordinate system
                oss << QString("%1: %2 %3").arg(q_("TEME velocity"), temeVel, qc_("km/s", "speed")) << "<br/>";

                QString pha = StelApp::getInstance().getFlagShowDecimalDegrees() ?
                                StelUtils::radToDecDegStr(phaseAngle,4,false,true) :
                                StelUtils::radToDmsStr(phaseAngle, true);
                oss << QString("%1: %2").arg(q_("Phase angle"), pha) << "<br />";

#if (SATELLITES_PLUGIN_IRIDIUM == 1)
                if (sunReflAngle>0)
                {  // Iridium
                        oss << QString("%1: %2%3").arg(q_("Sun reflection angle"))
                               .arg(sunReflAngle,0,'f',1)
                               .arg(degree);
                        oss << "<br />";
                }
#endif
                QString updDate;
                if (!lastUpdated.isValid())
                        updDate = qc_("unknown", "unknown date");
                else
                {
                        QDate sd = lastUpdated.date();
                        double hours = lastUpdated.time().hour() + lastUpdated.time().minute()/60. + lastUpdated.time().second()/3600.;
                        updDate = QString("%1 %2 %3 %4 %5").arg(sd.day())
                                        .arg(StelLocaleMgr::longGenitiveMonthName(sd.month())).arg(sd.year())
                                        .arg(qc_("at","at time"), StelUtils::hoursToHmsStr(hours, true));
                }
                oss << QString("%1: %2").arg(q_("Last updated TLE"), updDate) << "<br />";
                oss << QString("%1: %2").arg(q_("Epoch of the TLE"), tleEpoch) << "<br />";
                if (RCS>0.)
                        oss << QString("%1: %2 %3<sup>2</sup>").arg(q_("Radar cross-section (RCS)"), QString::number(RCS, 'f', 3), qc_("m","distance")) << "<br />";

                // Groups of the artificial satellites
                QStringList groupList;
                for (const auto&g : groups)
                        groupList << q_(g);

                if (!groupList.isEmpty())
                {
                        QString group = groups.count()>1 ? q_("Group") : q_("Groups");
                        oss << QString("%1: %2").arg(group, groupList.join(", ")) << "<br />";
                }

                if (status!=StatusUnknown)
                        oss << QString("%1: %2").arg(q_("Operational status"), getOperationalStatus()) << "<br />";
                //Visibility: Full text                
                oss << q_(visibilityDescription.value(visibility, "")) << "<br />";

                if (!comms.isEmpty() && (status!=Satellite::StatusNonoperational))
                {
                        oss << q_("Radio communication") << ":<br/>";
                        for (const auto& c : comms)
                        {
                                oss << getCommLinkInfo(c);
                        }
                }
                // Umbra circle info. May not generally be interesting.
                //oss << QString("%1: %2 km, %3: %4 km").arg(q_("Umbra distance"), QString::number(umbraDistance, 'f', 3), q_("Radius"), QString::number(umbraRadius, 'f', 3)) << "<br/>";
                //oss << QString("%1: %2 km, %3: %4 km").arg(q_("Penumbra distance"), QString::number(penumbraDistance, 'f', 3), q_("Radius"), QString::number(penumbraRadius, 'f', 3)) << "<br/>";
        }

        oss << getSolarLunarInfoString(core, flags);
        postProcessInfoString(str, flags);
        return str;
}

QString Satellite::getCommLinkInfo(CommLink comm) const
{
        QString commLinkData;
        if (!comm.modulation.isEmpty()) // OK, the signal modulation mode is exist
                commLinkData = comm.modulation;

        if (commLinkData.isEmpty()) // description cannot be empty!
                commLinkData = comm.description;
        else
                commLinkData.append(QString(" %1").arg(comm.description));

        if (commLinkData.isEmpty())
                return QString();

        // Translate some specific communications terms
        // See end of Satellites.cpp file to define translatable terms
        static const QStringList commTerms={ "uplink", "downlink", "beacon", "telemetry", "video", "broadband", "command", "meteorological", "maritime", "mobile telephony", "mobile", "repeater", "digipeater", "-band", "crew voice", "imaging", "mode" };
        for (auto& term: commTerms)
        {
                commLinkData.replace(term, qc_(term, "comms"));
        }
        commLinkData.replace("&", q_("and"));

        double dop = getDoppler(comm.frequency);
        double ddop = dop;
        QString sign;
        if (dop<0.)
        {
                sign='-';
                ddop*=-1;
        }
        else
                sign='+';

        commLinkData.append(QString(": %1 %2 (%3%4 %5)<br />").arg(QString::number(comm.frequency, 'f', 3), qc_("MHz", "frequency"), sign, QString::number(ddop, 'f', 3), qc_("kHz", "frequency")));
        return commLinkData;
}

// Calculate perigee and apogee altitudes for mean Earth radius
void Satellite::calculateSatDataFromLine2(QString tle)
{
        // Details: http://www.satobs.org/seesat/Dec-2002/0197.html
        const double k = 8681663.653;
        const double meanMotion = tle.left(63).right(11).toDouble();
        const double semiMajorAxis = std::cbrt((k/meanMotion)*(k/meanMotion));
        eccentricity = QString("0.%1").arg(tle.left(33).right(7)).toDouble();
        perigee = semiMajorAxis*(1.0 - eccentricity) - EARTH_RADIUS;
        apogee = semiMajorAxis*(1.0 + eccentricity) - EARTH_RADIUS;
        inclination = QString(tle.left(16).right(8)).toDouble();
}

// Calculate epoch of TLE
void Satellite::calculateEpochFromLine1(QString tle)
{
        QString epochStr;
        // Details: https://celestrak.org/columns/v04n03/ or https://en.wikipedia.org/wiki/Two-line_element_set
        int year = tle.left(20).right(2).toInt();
        if (year>=0 && year<57)
                year += 2000;
        else
                year += 1900;
        const double dayOfYear = tle.left(32).right(12).toDouble();
        QDate epoch = QDate(year, 1, 1).addDays(dayOfYear - 1);
        if (!epoch.isValid())
                epochStr = qc_("unknown", "unknown date");
        else
                epochStr = QString("%1 %2 %3, %4 UTC").arg(epoch.day())
                                .arg(StelLocaleMgr::longGenitiveMonthName(epoch.month())).arg(year)
                                .arg(StelUtils::hoursToHmsStr(24.*(dayOfYear-static_cast<int>(dayOfYear)), true));

        tleEpoch = epochStr;
        tleEpochJD = epoch.toJulianDay();
}

QVariantMap Satellite::getInfoMap(const StelCore *core) const
{
        QVariantMap map = StelObject::getInfoMap(core);

        map.insert("description", QString(description).replace("\n", " - "));
        map.insert("catalog", id);
        map.insert("tle1", tleElements.first);
        map.insert("tle2", tleElements.second);
        map.insert("tle-epoch", tleEpoch);

        if (!internationalDesignator.isEmpty())
                map.insert("international-designator", internationalDesignator);

        if (stdMag>98.) // replace whatever has been computed
        {
                map.insert("vmag", "?");
                map.insert("vmage", "?");
        }

        map.insert("range", range);
        map.insert("rangerate", rangeRate);
        map.insert("height", height);
        map.insert("subpoint-lat", latLongSubPointPosition[0]);
        map.insert("subpoint-long", latLongSubPointPosition[1]);
        map.insert("TEME-km-X", position[0]);
        map.insert("TEME-km-Y", position[1]);
        map.insert("TEME-km-Z", position[2]);
        map.insert("TEME-speed-X", velocity[0]);
        map.insert("TEME-speed-Y", velocity[1]);
        map.insert("TEME-speed-Z", velocity[2]);
        map.insert("inclination", pSatWrapper->getOrbitalInclination());
        map.insert("period", pSatWrapper->getOrbitalPeriod());
        map.insert("perigee-altitude", perigee);
        map.insert("apogee-altitude", apogee);
#if (SATELLITES_PLUGIN_IRIDIUM == 1)
        if (sunReflAngle>0.)
        {  // Iridium
                map.insert("sun-reflection-angle", sunReflAngle);
        }
#endif
        map.insert("operational-status", getOperationalStatus());
        map.insert("phase-angle", phaseAngle);
        map.insert("phase-angle-dms", StelUtils::radToDmsStr(phaseAngle));
        map.insert("phase-angle-deg", StelUtils::radToDecDegStr(phaseAngle));
        map.insert("visibility", visibilityDescription.value(visibility, ""));

        return map;
}

Vec3d Satellite::getJ2000EquatorialPos(const StelCore* core) const
{
        // Bugfix LP:1654331. I assume the elAzPosition has been computed without refraction! We must say this definitely.
        return core->altAzToJ2000(elAzPosition, StelCore::RefractionOff);
}

Vec3f Satellite::getInfoColor(void) const
{
        return infoColor;
}

float Satellite::getVMagnitude(const StelCore* core) const
{        
        Q_UNUSED(core)
        float vmag = 7.f; // Optimistic value of magnitude for artificial satellite without data for standard magnitude
        if (iconicModeFlag)
                vmag = 5.0;

        if (!iconicModeFlag && visibility != gSatWrapper::VISIBLE)
                vmag = 17.f; // Artificial satellite is invisible and 17 is hypothetical value of magnitude

        if (visibility==gSatWrapper::VISIBLE && pSatWrapper)
        {
#if(SATELLITES_PLUGIN_IRIDIUM == 1)
                sunReflAngle = -1.;
#endif

                if (isStarlink)
                {
                        // Calculation of approx. visual magnitude for Starlink satellites
                        // described here: http://www.satobs.org/seesat/Aug-2020/0079.html
                        vmag = static_cast<float>(5.93 + 5 * std::log10 ( range / 1000 ));
                        if (name.contains("DARKSAT", Qt::CaseInsensitive)) // See https://arxiv.org/abs/2006.08422
                                vmag *= 0.78f;
                }
                else if (stdMag<99.) // OK, artificial satellite has value for standard magnitude
                {
                        // Calculation of approx. visual magnitude for artificial satellites
                        //
                        // The standard magnitude may be an estimate based on the mean cross-
                        // sectional area derived from its dimensions, or it may be a mean
                        // value derived from visual observations. The former are denoted by a
                        // letter "d" in column 37; the latter by a "v". To estimate the
                        // magnitude at other ranges and illuminations, use the following formula:
                        //
                        // mag = stdmag - 15.75 + 2.5 * log10 (range * range / fracil)
                        //
                        // where : stdmag = standard magnitude as defined above
                        //
                        // range = distance from observer to satellite, km
                        //
                        // fracil = fraction of satellite illuminated,
                        //            [ 0 <= fracil <= 1 ]
                        //
                        // Original description: http://mmccants.org/tles/mccdesc.html

                        double fracil = qMax(0.000001, static_cast<double>(calculateIlluminatedFraction()));

#if(SATELLITES_PLUGIN_IRIDIUM == 1)
                        if (pSatWrapper && name.startsWith("IRIDIUM"))
                        {
                                Vec3d Sun3d = pSatWrapper->getSunECIPos();
                                QVector3D sun(Sun3d.data()[0],Sun3d.data()[1],Sun3d.data()[2]);
                                QVector3D sunN = sun; sunN.normalize();

                                // position, velocity are known
                                QVector3D Vx(velocity.data()[0],velocity.data()[1],velocity.data()[2]); Vx.normalize();

                                Vec3d vy = (position^velocity);
                                QVector3D Vy(vy.data()[0],vy.data()[1],vy.data()[2]); Vy.normalize();
                                QVector3D Vz = QVector3D::crossProduct(Vx,Vy); Vz.normalize();

                                // move this to constructor for optimizing
                                QMatrix4x4 m0;
                                m0.rotate(40, Vy);
                                QVector3D Vx0 = m0.mapVector(Vx);

                                QMatrix4x4 m[3];
                                //m[2] = m[1] = m[0];
                                m[0].rotate(0, Vz);
                                m[1].rotate(120, Vz);
                                m[2].rotate(-120, Vz);

                                StelLocation loc   = StelApp::getInstance().getCore()->getCurrentLocation();
                                const double  radLatitude    = loc.getLatitude() * KDEG2RAD;
                                const double  theta          = pSatWrapper->getEpoch().toThetaLMST(loc.getLongitude() * KDEG2RAD);
                                const double sinRadLatitude=sin(radLatitude);
                                const double cosRadLatitude=cos(radLatitude);
                                const double sinTheta=sin(theta);
                                const double cosTheta=cos(theta);

                                Vec3d observerECIPos;
                                Vec3d observerECIVel;
                                pSatWrapper->calcObserverECIPosition(observerECIPos, observerECIVel);

                                sunReflAngle = 180.;
                                QVector3D mirror;
                                for (int i = 0; i<3; i++)
                                {
                                        mirror = m[i].mapVector(Vx0);
                                        mirror.normalize();

                                        // reflection R = 2*(V dot N)*N - V
                                        QVector3D rsun =  2*QVector3D::dotProduct(sun,mirror)*mirror - sun;
                                        rsun = -rsun;
                                        Vec3d rSun(rsun.x(),rsun.y(),rsun.z());

                                        //Vec3d satECIPos  = getTEMEPos();
                                        Vec3d slantRange = rSun - observerECIPos;
                                        Vec3d topoRSunPos;
                                        //top_s
                                        topoRSunPos[0] = (sinRadLatitude * cosTheta * slantRange[0]
                                                        + sinRadLatitude * sinTheta * slantRange[1]
                                                        - cosRadLatitude * slantRange[2]);
                                        //top_e
                                        topoRSunPos[1] = ((-1.0) * sinTheta * slantRange[0]
                                                        + cosTheta * slantRange[1]);

                                        //top_z
                                        topoRSunPos[2] = (cosRadLatitude * cosTheta * slantRange[0]
                                                        + cosRadLatitude * sinTheta * slantRange[1]
                                                        + sinRadLatitude * slantRange[2]);
                                        sunReflAngle = qMin(elAzPosition.angle(topoRSunPos) * KRAD2DEG, sunReflAngle) ;
                                }

                                // very simple flare model
                                double iridiumFlare = 100;
                                if (sunReflAngle<0.5)
                                        iridiumFlare = -8.92 + sunReflAngle*6;
                                else        if (sunReflAngle<0.7)
                                        iridiumFlare = -5.92 + (sunReflAngle-0.5)*10;
                                else
                                        iridiumFlare = -3.92 + (sunReflAngle-0.7)*5;

                                 vmag = qMin(stdMag, iridiumFlare);
                        }
                        else // not Iridium
#endif
                                vmag = static_cast<float>(stdMag);

                        vmag += -15.75f + 2.5f * static_cast<float>(std::log10(range * range / fracil));
                }
                else if (RCS>0.) // OK, artificial satellite has RCS value and no standard magnitude
                {
                        // Let's try calculate approx. magnitude from RCS value (see DOI: 10.1117/12.2014623)
                        double albedo = 0.2;
                        if (0.436<=phaseAngle && phaseAngle<1.745)
                                albedo = (((((3.1765*phaseAngle - 22.0968)*phaseAngle + 62.182)*phaseAngle - 90.0993)*phaseAngle + 70.3031)*phaseAngle - 27.9227)*phaseAngle + 4.7373;
                        else if (1.745<=phaseAngle && phaseAngle<=2.618)
                                albedo = ((0.510905*phaseAngle - 2.72607)*phaseAngle + 4.96646)*phaseAngle - 3.02085;

                        double rm = range*1000.;
                        double fdiff = (std::sin(phaseAngle) + (M_PI - phaseAngle)*std::cos(phaseAngle))*(2.*albedo*RCS)/(3.* M_PI * M_PI * rm * rm);

                        vmag = static_cast<float>(-26.74 - 2.5*std::log10(fdiff));
                }
        }
        return vmag;
}

// Calculate illumination fraction of artificial satellite
float Satellite::calculateIlluminatedFraction() const
{
        return (1.f + cos(static_cast<float>(phaseAngle)))*0.5f;
}

QString Satellite::getOperationalStatus() const
{
        const QMap<int,QString>map={
                { StatusOperational,          qc_("operational", "operational status")},
                { StatusNonoperational,       qc_("non-operational", "operational status")},
                { StatusPartiallyOperational, qc_("partially operational", "operational status")},
                { StatusStandby,              qc_("standby", "operational status")},
                { StatusSpare,                qc_("spare", "operational status")},
                { StatusExtendedMission,      qc_("extended mission", "operational status")},
                { StatusDecayed,              qc_("decayed", "operational status")},
        };
        return map.value(status,              qc_("unknown", "operational status"));
}

double Satellite::getAngularRadius(const StelCore*) const
{
        double radius = 0.05 / 3600.; // assume 0.1 arcsecond default diameter
        if (RCS>0.)
        {
                double halfSize = isISS ?
                         109. * 0.5 :         // Special case: let's use max. size of ISS (109 meters: https://www.nasa.gov/feature/facts-and-figures)
                         std::sqrt(RCS/M_PI); // Let's assume spherical satellites/circular cross-section
                radius = std::atan(halfSize/(1000.*range))*M_180_PI; // Computing an angular size of artificial satellite ("halfSize" in metres, "range" in kilometres)
        }
        return radius;
}

void Satellite::setNewTleElements(const QString& tle1, const QString& tle2)
{
        if (pSatWrapper)
        {
                gSatWrapper *old = pSatWrapper;
                pSatWrapper = nullptr;
                delete old;
        }

        tleElements.first = tle1;
        tleElements.second = tle2;

        pSatWrapper = new gSatWrapper(id, tle1, tle2);
        orbitPoints.clear();
        visibilityPoints.clear();
        
        parseInternationalDesignator(tle1);
        calculateEpochFromLine1(tle1);
        calculateSatDataFromLine2(tle2);
}

void Satellite::recomputeSatData()
{
        calculateEpochFromLine1(tleElements.first);
        calculateSatDataFromLine2(tleElements.second);
}

void Satellite::update(double)
{
        if (pSatWrapper && orbitValid)
        {
                StelCore* core = StelApp::getInstance().getCore();
                epochTime = core->getJD(); // + timeShift; // We have "true" JD (UTC) from core, satellites don't need JDE!

                pSatWrapper->setEpoch(epochTime);
                position                 = pSatWrapper->getTEMEPos();
                velocity                 = pSatWrapper->getTEMEVel();
                latLongSubPointPosition  = pSatWrapper->getSubPoint();
                height                   = latLongSubPointPosition[2]; // km
                /*
                Vec2d pa                 = pSatWrapper->getPerigeeApogeeAltitudes();
                perigee                  = pa[0];
                apogee                   = pa[1];
                */
                if (height < 80) // way below Kármán line: Satellite is certainly lost, at least TLE not applicable.
                {
                        // The orbit is no longer valid.  Causes include very out of date
                        // TLE, system date and time out of a reasonable range, and orbital
                        // degradation and re-entry of a satellite.  In any of these cases
                        // we might end up with a problem - usually a crash of Stellarium
                        // because of a div/0 or something.
                        qWarning() << "Satellite has invalid orbit:" << name << id;
                        orbitValid = false;
                        displayed = false; // It shouldn't be displayed!
                        return;
                }

                elAzPosition = pSatWrapper->getAltAz();
                elAzPosition.normalize();
                XYZ = Satellite::getJ2000EquatorialPos(core);

                pSatWrapper->getSlantRange(range, rangeRate);
                visibility = pSatWrapper->getVisibilityPredict();

                // Compute phase angle
                double raSun, decSun, raSat, decSat;
                StelUtils::rectToSphe(&raSun, &decSun, sun->getJ2000EquatorialPos(core));
                StelUtils::rectToSphe(&raSat, &decSat, XYZ);
                phaseAngle = std::acos(-1.0*(std::sin(decSun)*std::sin(decSat) + std::cos(decSun)*std::cos(decSat)*std::cos(raSun - raSat)));

                // Compute orbit points to draw orbit line.
                if (orbitDisplayed) computeOrbitPoints();
        }
}

// Get radii and distances of shadow circles
Vec4d Satellite::getUmbraData()
{
        const double rhoE=position.norm(); // geocentric Satellite distance, km
        return Satellite::getUmbraData(rhoE);
}

//! Get radii and geocentric antisolar distances of shadow circles in km for a hypothetical object in geocentric distance rhoE [km].
//! Vec4d(umbraDistance, umbraRadius, penumbraDistance, penumbraRadius);
Vec4d Satellite::getUmbraData(const double rhoE)
{
        static PlanetP earth=GETSTELMODULE(SolarSystem)->getEarth();
        static PlanetP sun = GETSTELMODULE(SolarSystem)->getSun();

        // Compute locations of umbra and penumbra circles. These should show where the satellite enters/exits umbra/penumbra.
        // The computation follows ideas from https://celestrak.org/columns/v03n01/
        // These sources mention ECI coordinates (Earth Centered Inertial). Presumably TEME (True Equator Mean Equinox) are equivalent, at least for our purposes.
        const double rS=earth->getHeliocentricEclipticPos().norm()*AU; // distance earth...sun
        const double thetaE=asin((earth->getEquatorialRadius()*AU)/(rhoE));
        Vec3d sunEquinoxEqPos = sun->getEquinoxEquatorialPos(StelApp::getInstance().getCore());
        Vec3d sunTEME=sunEquinoxEqPos*AU;
        const double thetaS=asin((sun->getEquatorialRadius()*AU)/(sunTEME.norm()));
        Q_ASSERT(thetaE>thetaS);
        const double theta=thetaE-thetaS; // angle so that satellite dives into umbra
        // angle at Sun:
        const double sigma=asin(sin(theta)*rhoE/rS);
        // angle in geocenter
        const double eta=M_PI-sigma-theta;
        // complement
        const double mu=M_PI-eta;
        // geocentric distance of shadow circle towards antisun
        double umbraDistance=rhoE*cos(mu);
        // radius of shadow circle
        double umbraRadius=rhoE*sin(mu);
        // Repeat for penumbra
        const double thetaP=thetaE+thetaS; // angle so that satellite touches penumbra
        // angle at Sun:
        const double sigmaP=asin(sin(thetaP)*rhoE/rS);
        // angle in geocenter
        const double etaP=M_PI-sigmaP-thetaP;
        // complement
        const double muP=M_PI-etaP;
        // geocentric distance of shadow circle towards antisun
        double penumbraDistance=rhoE*cos(muP);
        // radius of shadow circle
        double penumbraRadius=rhoE*sin(muP);
        //// DBG OUT
        //StelObjectMgr *om=GETSTELMODULE(StelObjectMgr);
        //om->setExtraInfoString(StelObject::DebugAid, QString("&rho;<sub>E</sub> %1, r<sub>S</sub> %2, &theta;<sub>E</sub> %3°, &theta;<sub>S</sub> %4° <br/>")
        //                       .arg(QString::number(rhoE, 'f', 3),
        //                            QString::number(rS, 'f', 3),
        //                            QString::number(thetaE*M_180_PI, 'f', 3),
        //                            QString::number(thetaS*M_180_PI, 'f', 3)
        //                            )
        //                       );
        //om->addToExtraInfoString(StelObject::DebugAid, QString("&theta; %1°, &sigma; %2°, &eta; %3°, &mu; %4° <br/>")
        //                       .arg(
        //                            QString::number(theta*M_180_PI, 'f', 3),
        //                            QString::number(sigma*M_180_PI, 'f', 3),
        //                            QString::number(eta*M_180_PI, 'f', 3),
        //                            QString::number(mu*M_180_PI, 'f', 3)
        //                            )
        //                       );
        //om->addToExtraInfoString(StelObject::DebugAid, QString("&theta;<sub>P</sub> %1°, &sigma; %2°, &eta; %3°, &mu; %4° <br/>")
        //                       .arg(
        //                            QString::number(thetaP*M_180_PI, 'f', 3),
        //                            QString::number(sigmaP*M_180_PI, 'f', 3),
        //                            QString::number(etaP*M_180_PI, 'f', 3),
        //                            QString::number(muP*M_180_PI, 'f', 3)
        //                            )
        //                       );
        return Vec4d(umbraDistance, umbraRadius, penumbraDistance, penumbraRadius);
}

double Satellite::getDoppler(double freq) const
{
        return  -freq*((rangeRate*1000.0)/SPEED_OF_LIGHT);
}

void Satellite::recalculateOrbitLines(void)
{
        orbitPoints.clear();
        visibilityPoints.clear();
}

SatFlags Satellite::getFlags() const
{
        // There's also a faster, but less readable way: treating them as uint.
        SatFlags flags;
        double orbitalPeriod = pSatWrapper->getOrbitalPeriod();
        if (displayed)
                flags |= SatDisplayed;
        else
                flags |= SatNotDisplayed;
        if (orbitDisplayed)
                flags |= SatOrbit;
        if (userDefined)
                flags |= SatUser;
        if (newlyAdded)
                flags |= SatNew;
        if (!orbitValid)
                flags |= SatError;
        if (RCS>0. && RCS <= 0.1)
                flags |= SatSmallSize;
        if (RCS>0.1 && RCS <= 1.0)
                flags |= SatMediumSize;
        if (RCS>1.0)
                flags |= SatLargeSize;
        if (eccentricity < 0.25 && (inclination>=0. && inclination<=180.) && apogee<4400.)
                flags |= SatLEO;
        if (eccentricity < 0.25 && inclination<25. && (orbitalPeriod>=1100. && orbitalPeriod<=2000.))
                flags |= SatGSO;
        if (eccentricity < 0.25 && (inclination>=0. && inclination<=180.) && apogee>=4400. && orbitalPeriod<1100.)
                flags |= SatMEO;
        if (eccentricity >= 0.25 && (inclination>=0. && inclination<=180.) && perigee<=70000. && orbitalPeriod<=14000.)
                flags |= SatHEO;
        if (eccentricity < 0.25 && (inclination>=25. && inclination<=180.) && (orbitalPeriod>=1100. && orbitalPeriod<=2000.))
                flags |= SatHGSO;
        if (qAbs(inclination) >= 89.5 && qAbs(inclination) <= 90.5)
                flags |= SatPolarOrbit;
        if (qAbs(inclination) <= 0.5)
                flags |= SatEquatOrbit;
        if ((qAbs(inclination) >= 97.5 && qAbs(inclination) <= 98.5) && (orbitalPeriod>=96. && orbitalPeriod<=100.))
                flags |= SatPSSO;
        // definition: https://en.wikipedia.org/wiki/High_Earth_orbit
        if (perigee>35786. && orbitalPeriod>1440.)
                flags |= SatHEarthO;
        if (qAbs(StelApp::getInstance().getCore()->getJD() - tleEpochJD) > tleEpochAge)
                flags |= SatOutdatedTLE;
        if (getCustomFiltersFlag())
                flags |= SatCustomFilter;
        if (!comms.isEmpty())
                flags |= SatCommunication;
        if (apogee<=100.0 || height<=100.0) // Karman line, atmosphere: thermosphere
                flags |= SatReentry;
        if (status == StatusOperational)
        {
                flags |= SatOperationalOS;
                flags |= SatActiveOS;
        }
        if (status == StatusNonoperational)
                flags |= SatNonoperationalOS;
        if (status == StatusPartiallyOperational)
        {
                flags |= SatPartiallyOperationalOS;
                flags |= SatActiveOS;
        }
        if (status == StatusStandby)
        {
                flags |= SatStandbyOS;
                flags |= SatActiveOS;
        }
        if (status == StatusSpare)
        {
                flags |= SatSpareOS;
                flags |= SatActiveOS;
        }
        if (status == StatusExtendedMission)
        {
                flags |= SatExtendedMissionOS;
                flags |= SatActiveOS;
        }
        if (status == StatusDecayed)
                flags |= SatDecayedOS;

        return flags;
}

void Satellite::setFlags(const SatFlags& flags)
{
        displayed = flags.testFlag(SatDisplayed);
        orbitDisplayed = flags.testFlag(SatOrbit);
        userDefined = flags.testFlag(SatUser);
}

bool Satellite::getCustomFiltersFlag() const
{
        double orbitalPeriod = pSatWrapper->getOrbitalPeriod();
        // Apogee
        bool cfa = true;
        if (flagCFApogee)
                cfa = (apogee>=minCFApogee && apogee<=maxCFApogee);
        // Perigee
        bool cfp = true;
        if (flagCFPerigee)
                cfp = (perigee>=minCFPerigee && perigee<=maxCFPerigee);
        // Eccentricity
        bool cfe = true;
        if (flagCFEccentricity)
                cfe = (eccentricity>=minCFEccentricity && eccentricity<=maxCFEccentricity);
        // Known standard magnitude
        bool cfm = true;
        if (flagCFKnownStdMagnitude)
                cfm = (stdMag<99.0);
        // Period
        bool cft = true;
        if (flagCFPeriod)
                cft = (orbitalPeriod>=minCFPeriod && orbitalPeriod<=maxCFPeriod);
        // Inclination
        bool cfi = true;
        if (flagCFInclination)
                cfi = (inclination>=minCFInclination && inclination<=maxCFInclination);
        // RCS
        bool cfr = true;
        if (flagCFRCS)
                cfr = (RCS>=minCFRCS && RCS<=maxCFRCS);

        return (cfa && cfp && cfe && cfm && cft && cfi && cfr);
}

void Satellite::parseInternationalDesignator(const QString& tle1)
{
        Q_ASSERT(!tle1.isEmpty());
        
        // The designator is encoded in chunk 3 on the first line.
        QStringList tleData = tle1.split(" ");
        QString rawString = tleData.at(2);
        bool ok;
        int year = rawString.left(2).toInt(&ok);
        if (!rawString.isEmpty() && ok)
        {
                // Y2K bug :) I wonder what NORAD will do in 2057. :)
                if (year < 57)
                        year += 2000;
                else
                        year += 1900;
                internationalDesignator = QString::number(year) + "-" + rawString.mid(2);
        }
        else
                year = 1957;
        
        StelUtils::getJDFromDate(&jdLaunchYearJan1, year, 1, 1, 0, 0, 0);        
}

bool Satellite::operator <(const Satellite& another) const
{
        // If interface strings are used, you'll need QString::localeAwareCompare()
        int comp = name.compare(another.name);
        if (comp < 0)
                return true;
        if (comp > 0)
                return false;
        
        // If the names are the same, compare IDs, i.e. NORAD numbers.
        return (id < another.id);
}

void Satellite::draw(StelCore* core, StelPainter& painter)
{
        // Separated because first test should be very fast.
        if (!displayed)
                return;

        // 1) Do not show satellites before Space Era begins!
        // 2) Do not show satellites when time rate is over limit (JD/sec)!
        if (core->getJD()<jdLaunchYearJan1 || qAbs(core->getTimeRate())>=timeRateLimit)
                return;

        if (flagVFAltitude)
        {
                // visual filter is activated!
                // is satellite located in valid range of altitudes?
                // yes, but... inverse the result and skip rendering!
                if (!(minVFAltitude<=height && height<=maxVFAltitude))
                        return;
        }

        const float magSat = getVMagnitude(core);
        if (flagVFMagnitude)
        {
                // visual filter is activated and he is applicable!
                if (!(stdMag<99. || RCS>0.))
                        return;
                if (!(maxVFMagnitude<=magSat && magSat<=minVFMagnitude))
                        return;
        }

        Vec3d win;
        if (painter.getProjector()->projectCheck(XYZ, win))
        {
                if (!iconicModeFlag)
                {
                        Vec3f color(1.f,1.f,1.f);
                        // Special case: crossing of the satellite of the Moon or the Sun
                        if (XYZ.angle(moon->getJ2000EquatorialPos(core))*M_180_PI <= moon->getSpheroidAngularRadius(core) || XYZ.angle(sun->getJ2000EquatorialPos(core))*M_180_PI <= sun->getSpheroidAngularRadius(core))
                        {
                                painter.setColor(transitSatelliteColor, 1.f);
                                int screenSizeSat = static_cast<int>((getAngularRadius(core)*(2.*M_PI_180))*static_cast<double>(painter.getProjector()->getPixelPerRadAtCenter()));
                                if (screenSizeSat>0)
                                        painter.drawSprite2dMode(XYZ, qMin(screenSizeSat, 15));

                                if (showLabels)
                                {
                                        if (!core->isBrightDaylight()) // crossing of the Moon
                                                painter.setColor(color, hintBrightness);
                                        painter.drawText(XYZ, name, 0, 10, 10, false);
                                }
                        }
                        else
                        {
                                StelSkyDrawer* sd = core->getSkyDrawer();
                                RCMag rcMag;

                                // Draw the satellite
                                if (magSat <= sd->getLimitMagnitude())
                                {
                                        Vec3f vf(XYZ.toVec3f());
                                        Vec3f altAz(vf);
                                        altAz.normalize();
                                        core->j2000ToAltAzInPlaceNoRefraction(&altAz);
                                        sd->preDrawPointSource(&painter);
                                        sd->computeRCMag(magSat, &rcMag);
                                        // allow height-dependent twinkle and suppress twinkling in higher altitudes. Keep 0.1 twinkle amount in zenith.
                                        sd->drawPointSource(&painter, vf.toVec3d(), rcMag, color*hintBrightness, true, qMin(1.0f, 1.0f-0.9f*altAz[2]));
                                        sd->postDrawPointSource(&painter);
                                }

                                float txtMag = magSat;
                                if (visibility != gSatWrapper::VISIBLE)
                                {
                                        txtMag = magSat - 10.f; // Oops... Artificial satellite is invisible, but let's make the label visible
                                        painter.setColor(invisibleSatelliteColor, hintBrightness);
                                }
                                else
                                        painter.setColor(color, hintBrightness);

                                // Draw the label of the satellite when it enabled
                                if (txtMag <= sd->getLimitMagnitude() && showLabels)
                                        painter.drawText(XYZ, name, 0, 10, 10, false);
                        }
                }
                else if (!(hideInvisibleSatellitesFlag && visibility != gSatWrapper::VISIBLE))
                {
                        Vec3f drawColor = (coloredInvisibleSatellitesFlag && visibility != gSatWrapper::VISIBLE) ? invisibleSatelliteColor : hintColor; // Use hintColor for visible satellites only when coloredInvisibleSatellitesFlag is true
                        painter.setColor(drawColor*hintBrightness, hintBrightness);
                        if (XYZ.angle(moon->getJ2000EquatorialPos(core))*M_180_PI <= moon->getSpheroidAngularRadius(core) || XYZ.angle(sun->getJ2000EquatorialPos(core))*M_180_PI <= sun->getSpheroidAngularRadius(core))
                                painter.setColor(transitSatelliteColor, 1.f);

                        if (showLabels)
                                painter.drawText(XYZ, name, 0, 10, 10, false);

                        painter.drawSprite2dMode(XYZ, 11);
                }
        }

        if (orbitDisplayed && Satellite::orbitLinesFlag && orbitValid)
                drawOrbit(core, painter);
}

void Satellite::drawOrbit(StelCore *core, StelPainter& painter)
{
        int size = orbitPoints.size();
        const float ppx = static_cast<float>(painter.getProjector()->getDevicePixelsPerPixel());

        if (size>0)
        {
                Vec3d position;
                Vec3f drawColor;
                Vec4d op;
                QVector<Vec3d> vertexArray;
                QVector<Vec4f> colorArray;
                vertexArray.resize(size);
                colorArray.resize(size);

                //Rest of points
                for (int i=0; i<size; i++)
                {
                        op = orbitPoints[i];
                        position = core->altAzToJ2000(Vec3d(op[0],op[1],op[2]), StelCore::RefractionOff);
                        position.normalize();
                        vertexArray[i] = position;

                        drawColor = (visibilityPoints[i] == gSatWrapper::VISIBLE) ? orbitColor : invisibleSatelliteColor;
                        if (flagVFAltitude)
                        {
                                // visual filter is activated!
                                // is satellite located in valid range of altitudes?
                                if (minVFAltitude<=op[3] && op[3]<=maxVFAltitude)
                                        colorArray[i] = Vec4f(drawColor, hintBrightness * calculateOrbitSegmentIntensity(i));
                                else
                                        colorArray[i] = Vec4f(0.f,0.f,0.f,0.f); // hide invisible part of orbit
                        }
                        else
                        {
                                if (hideInvisibleSatellitesFlag && visibilityPoints[i] != gSatWrapper::VISIBLE)
                                        colorArray[i] = Vec4f(0.f,0.f,0.f,0.f); // hide invisible part of orbit
                                else
                                        colorArray[i] = Vec4f(drawColor, hintBrightness * calculateOrbitSegmentIntensity(i));
                        }
                }

                painter.enableClientStates(true, false, false);
                if (orbitLineThickness>1 || ppx>1.f)
                        painter.setLineWidth(orbitLineThickness*ppx);

                painter.drawPath(vertexArray, colorArray); // (does client state switching as needed internally)

                painter.enableClientStates(false);
                if (orbitLineThickness>1 || ppx>1.f)
                        painter.setLineWidth(1);
        }
}

float Satellite::calculateOrbitSegmentIntensity(int segNum)
{
        int endDist = (orbitLineSegments/2) - abs(segNum-1 - (orbitLineSegments/2) % orbitLineSegments);
        if (endDist > orbitLineFadeSegments)
                return 1.0;
        else
                return (endDist  + 1) / (orbitLineFadeSegments + 1.0);
}

void Satellite::computeOrbitPoints()
{
        gTimeSpan computeInterval(0, 0, 0, orbitLineSegmentDuration);
        gTimeSpan orbitSpan(0, 0, 0, orbitLineSegments*orbitLineSegmentDuration/2);
        gTime epochTm;
        gTime epoch(epochTime);
        gTime lastEpochComp(lastEpochCompForOrbit);        
        int diffSlots;

        if (orbitPoints.isEmpty())//Setup orbitPoints
        {
                epochTm  = epoch - orbitSpan;

                for (int i=0; i<=orbitLineSegments; i++)
                {
                        pSatWrapper->setEpoch(epochTm.getGmtTm());
                        Vec3d sat = pSatWrapper->getAltAz();
                        orbitPoints.append(Vec4d(sat[0],sat[1],sat[2],pSatWrapper->getSubPoint()[2]));
                        visibilityPoints.append(pSatWrapper->getVisibilityPredict());
                        epochTm    += computeInterval;
                }
                lastEpochCompForOrbit = epochTime;
        }
        else if (epochTime > lastEpochCompForOrbit)
        {
                // compute next orbit point when clock runs forward
                gTimeSpan diffTime = epoch - lastEpochComp;
                diffSlots          = static_cast<int>(diffTime.getDblSeconds()/orbitLineSegmentDuration);

                if (diffSlots > 0)
                {
                        if (diffSlots > orbitLineSegments)
                        {
                                diffSlots = orbitLineSegments + 1;
                                epochTm  = epoch - orbitSpan;
                        }
                        else
                        {
                                epochTm   = lastEpochComp + orbitSpan + computeInterval;
                        }

                        for (int i=0; i<diffSlots; i++)
                        {
                                //remove points at beginning of list and add points at end.
                                orbitPoints.removeFirst();
                                visibilityPoints.removeFirst();
                                pSatWrapper->setEpoch(epochTm.getGmtTm());
                                Vec3d sat = pSatWrapper->getAltAz();
                                orbitPoints.append(Vec4d(sat[0],sat[1],sat[2],pSatWrapper->getSubPoint()[2]));
                                visibilityPoints.append(pSatWrapper->getVisibilityPredict());
                                epochTm    += computeInterval;
                        }

                        lastEpochCompForOrbit = epochTime;
                }
        }
        else if (epochTime < lastEpochCompForOrbit)
        {
                // compute next orbit point when clock runs backward
                gTimeSpan diffTime = lastEpochComp - epoch;
                diffSlots          = static_cast<int>(diffTime.getDblSeconds()/orbitLineSegmentDuration);

                if (diffSlots > 0)
                {
                        if (diffSlots > orbitLineSegments)
                        {
                                diffSlots = orbitLineSegments + 1;
                                epochTm   = epoch + orbitSpan;
                        }
                        else
                        {
                                epochTm   = epoch - orbitSpan - computeInterval;
                        }
                        for (int i=0; i<diffSlots; i++)
                        { //remove points at end of list and add points at beginning.
                                orbitPoints.removeLast();
                                visibilityPoints.removeLast();
                                pSatWrapper->setEpoch(epochTm.getGmtTm());
                                Vec3d sat = pSatWrapper->getAltAz();
                                orbitPoints.push_front(Vec4d(sat[0],sat[1],sat[2],pSatWrapper->getSubPoint()[2]));
                                visibilityPoints.push_front(pSatWrapper->getVisibilityPredict());
                                epochTm -= computeInterval;
                        }
                        lastEpochCompForOrbit = epochTime;
                }
        }
}

bool operator <(const SatelliteP& left, const SatelliteP& right)
{
        if (left.isNull())
        {
                if (right.isNull())
                        return false;
                else
                        return true;
        }
        if (right.isNull())
                return false; // No sense to check the left one now
        
        return ((*left) < (*right));
}

Stellarium / stellarium / 9545309360

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