/////////////////////////////////////////////////////////////////////////////////// // Copyright (C) 2021 Jon Beniston, M7RCE // // Copyright (C) 2013 Daniel Warner // // // // 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 as version 3 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 V3 for more details. // // // // You should have received a copy of the GNU General Public License // // along with this program. If not, see . // /////////////////////////////////////////////////////////////////////////////////// #include #include #include #include #include #include "util/units.h" #include "satellitetrackersgp4.h" // Convert QGP4 DateTime to Qt QDataTime static QDateTime dateTimeToQDateTime(DateTime dt) { QDateTime qdt(QDate(dt.Year(), dt.Month(), dt.Day()), QTime(dt.Hour(), dt.Minute(), dt.Second(), (int)(dt.Microsecond()/1000.0)), Qt::UTC); return qdt; } // Convert Qt QDataTime to QGP4 DateTime static DateTime qDateTimeToDateTime(QDateTime qdt) { QDateTime utc = qdt.toUTC(); QDate date = utc.date(); QTime time = utc.time(); DateTime dt(date.year(), date.month(), date.day(), time.hour(), time.minute(), time.second()); return dt; } // Get ground track // Throws SatelliteException, DecayedException and TleException void getGroundTrack(QDateTime dateTime, const QString& tle0, const QString& tle1, const QString& tle2, int steps, bool forward, QList& coordinates) { Tle tle = Tle(tle0.toStdString(), tle1.toStdString(), tle2.toStdString()); SGP4 sgp4(tle); OrbitalElements ele(tle); double periodMins; double timeStep; // Note map doesn't support paths wrapping around Earth DateTime currentTime = qDateTimeToDateTime(dateTime); DateTime endTime; if (forward) { periodMins = ele.Period() * 0.9; endTime = currentTime.AddMinutes(periodMins); timeStep = periodMins / (steps * 0.9); } else { periodMins = ele.Period() * 0.4; endTime = currentTime.AddMinutes(-periodMins); timeStep = -periodMins / (steps * 0.4); } coordinates.clear(); while ((forward && (currentTime < endTime)) || (!forward && (currentTime > endTime))) { // Calculate satellite position Eci eci = sgp4.FindPosition(currentTime); // Convert satellite position to geodetic coordinates (lat and long) CoordGeodetic geo = eci.ToGeodetic(); QGeoCoordinate *coord = new QGeoCoordinate(Units::radiansToDegrees(geo.latitude), Units::radiansToDegrees(geo.longitude), geo.altitude * 1000.0); coordinates.append(coord); // Map is stretched at poles, so use finer steps if (std::abs(Units::radiansToDegrees(geo.latitude)) >= 70) currentTime = currentTime.AddMinutes(timeStep/4); else currentTime = currentTime.AddMinutes(timeStep); } } // Find azimuth and elevation points during a pass void getPassAzEl(QLineSeries* azimuth, QLineSeries* elevation, QLineSeries* polar, const QString& tle0, const QString& tle1, const QString& tle2, double latitude, double longitude, double altitude, QDateTime& aos, QDateTime& los) { try { Tle tle = Tle(tle0.toStdString(), tle1.toStdString(), tle2.toStdString()); SGP4 sgp4(tle); Observer obs(latitude, longitude, altitude); DateTime aosTime = qDateTimeToDateTime(aos); DateTime losTime = qDateTimeToDateTime(los); DateTime currentTime(aosTime); int steps = 20; double timeStep = (losTime - aosTime).TotalSeconds() / steps; while (currentTime <= losTime) { // Calculate satellite position Eci eci = sgp4.FindPosition(currentTime); // Calculate angle to satellite from antenna CoordTopocentric topo = obs.GetLookAngle(eci); // Save azimuth and elevation in series QDateTime qdt = dateTimeToQDateTime(currentTime); if (azimuth != nullptr) azimuth->append(qdt.toMSecsSinceEpoch(), Units::radiansToDegrees(topo.azimuth)); if (elevation != nullptr) elevation->append(qdt.toMSecsSinceEpoch(), Units::radiansToDegrees(topo.elevation)); if (polar != nullptr) polar->append(Units::radiansToDegrees(topo.azimuth), 90.0-Units::radiansToDegrees(topo.elevation)); currentTime = currentTime.AddSeconds(timeStep); } } catch (SatelliteException& se) { qDebug() << se.what(); } catch (DecayedException& de) { qDebug() << de.what(); } catch (TleException& tlee) { qDebug() << tlee.what(); } } // Get whether a pass passes through 0 degreees bool getPassesThrough0Deg(const QString& tle0, const QString& tle1, const QString& tle2, double latitude, double longitude, double altitude, QDateTime& aos, QDateTime& los) { try { Tle tle = Tle(tle0.toStdString(), tle1.toStdString(), tle2.toStdString()); SGP4 sgp4(tle); Observer obs(latitude, longitude, altitude); DateTime aosTime = qDateTimeToDateTime(aos); DateTime losTime = qDateTimeToDateTime(los); DateTime currentTime(aosTime); int steps = 20; double timeStep = (losTime - aosTime).TotalSeconds() / steps; double prevAz; for (int i = 0; i < steps; i++) { // Calculate satellite position Eci eci = sgp4.FindPosition(currentTime); // Calculate angle to satellite from antenna CoordTopocentric topo = obs.GetLookAngle(eci); double az = Units::radiansToDegrees(topo.azimuth); if (i == 0) prevAz = az; // Does it cross 0 degrees? if (((prevAz > 270.0) && (az < 90.0)) || ((prevAz < 90.0) && (az >= 270.0))) return true; prevAz = az; currentTime = currentTime.AddSeconds(timeStep); } } catch (SatelliteException& se) { qDebug() << se.what(); } catch (DecayedException& de) { qDebug() << de.what(); } catch (TleException& tlee) { qDebug() << tlee.what(); } return false; } // Find maximum elevation in a pass static double findMaxElevation(Observer& obs1, SGP4& sgp4, const DateTime& aos, const DateTime& los) { Observer obs(obs1.GetLocation()); bool running; double timeStep = (los - aos).TotalSeconds() / 9.0; DateTime currentTime(aos); DateTime time1(aos); DateTime time2(los); double maxElevation; do { running = true; maxElevation = -INFINITY; while (running && (currentTime < time2)) { Eci eci = sgp4.FindPosition(currentTime); CoordTopocentric topo = obs.GetLookAngle(eci); if (topo.elevation > maxElevation) { maxElevation = topo.elevation; currentTime = currentTime.AddSeconds(timeStep); if (currentTime > time2) currentTime = time2; } else running = false; } time1 = currentTime.AddSeconds(-2.0 * timeStep); time2 = currentTime; currentTime = time1; timeStep = (time2 - time1).TotalSeconds() / 9.0; } while (timeStep > 1.0); return Units::radiansToDegrees(maxElevation); } // Find the time at which the satellite crossed the minimum elevation required for AOS or LOS static DateTime findCrossingPoint(Observer& obs, SGP4& sgp4, const DateTime& initialTime1, const DateTime& initialTime2, double minElevation, bool findingAOS) { bool running; int cnt; DateTime time1(initialTime1); DateTime time2(initialTime2); DateTime middleTime; running = true; cnt = 0; while (running && (cnt++ < 16)) { middleTime = time1.AddSeconds((time2 - time1).TotalSeconds() / 2.0); Eci eci = sgp4.FindPosition(middleTime); CoordTopocentric topo = obs.GetLookAngle(eci); if (topo.elevation > minElevation) { if (findingAOS) time2 = middleTime; else time1 = middleTime; } else { if (findingAOS) time1 = middleTime; else time2 = middleTime; } if ((time2 - time1).TotalSeconds() < 1.0) { running = false; int us = middleTime.Microsecond(); middleTime = middleTime.AddMicroseconds(-us); middleTime = middleTime.AddSeconds(findingAOS ? 1 : -1); } } running = true; cnt = 0; while (running && (cnt++ < 6)) { Eci eci = sgp4.FindPosition(middleTime); CoordTopocentric topo = obs.GetLookAngle(eci); if (topo.elevation > minElevation) middleTime = middleTime.AddSeconds(findingAOS ? -1 : 1); else running = false; } return middleTime; } // Find when AOS occured, by stepping backwards static DateTime findAOSBackwards(Observer& obs, SGP4& sgp4, DateTime& startTime, int predictionPeriod, double minElevation, bool& aosUnknown) { DateTime previousTime(startTime); DateTime currentTime(startTime); DateTime endTime(startTime.AddDays(-predictionPeriod)); while (currentTime >= endTime) { Eci eci = sgp4.FindPosition(currentTime); CoordTopocentric topo = obs.GetLookAngle(eci); if (topo.elevation < minElevation) { aosUnknown = false; return findCrossingPoint(obs, sgp4, currentTime, previousTime, minElevation, true); } previousTime = currentTime; currentTime = currentTime - TimeSpan(0, 0, 180); } aosUnknown = true; return currentTime; } bool inPassWindow(DateTime dateTime, QTime passStartTime, QTime passEndTime, bool utc) { // Don't compare seconds as not currently settable in GUI QDateTime qdt = dateTimeToQDateTime(dateTime); if (!utc) qdt = qdt.toLocalTime(); QTime qt(qdt.time().hour(), qdt.time().minute()); passStartTime = QTime(passStartTime.hour(), passStartTime.minute()); passEndTime = QTime(passEndTime.hour(), passEndTime.minute()); // If passEndTime is before passStartTime, then we allow overnight passes if (passEndTime > passStartTime) { return (qt >= passStartTime) && (qt <= passEndTime); } else { return (qt <= passEndTime) || (qt >= passStartTime); } } // Create a list of satellite passes, between the given start and end times, that exceed the specified minimum elevation // We return an uninitalised QDateTime if AOS or LOS is outside of predictionPeriod static QList createPassList(Observer& obs, SGP4& sgp4, DateTime& startTime, int predictionPeriod, double minAOSElevation, double minPassElevationDeg, QTime passStartTime, QTime passEndTime, bool utc, int noOfPasses) { QList passes; bool aos = false; bool aosUnknown = true; double aosAz; double losAz; DateTime previousTime(startTime); DateTime currentTime(startTime); DateTime endTime(startTime.AddDays(predictionPeriod)); DateTime aosTime; DateTime losTime; while (currentTime < endTime) { bool endOfPass = false; Eci eci = sgp4.FindPosition(currentTime); CoordTopocentric topo = obs.GetLookAngle(eci); if (!aos && (topo.elevation > minAOSElevation)) { if (startTime == currentTime) { // AOS is before startTime aosTime = findAOSBackwards(obs, sgp4, startTime, predictionPeriod, minAOSElevation, aosUnknown); } else { aosTime = findCrossingPoint(obs, sgp4, previousTime, currentTime, minAOSElevation, true); aosUnknown = false; } aos = true; eci = sgp4.FindPosition(aosTime); topo = obs.GetLookAngle(eci); aosAz = Units::radiansToDegrees(topo.azimuth); } else if (aos && (topo.elevation < minAOSElevation)) { aos = false; endOfPass = true; losTime = findCrossingPoint(obs, sgp4, previousTime, currentTime, minAOSElevation, false); eci = sgp4.FindPosition(losTime); topo = obs.GetLookAngle(eci); losAz = Units::radiansToDegrees(topo.azimuth); double maxElevationDeg = findMaxElevation(obs, sgp4, aosTime, losTime); if ((maxElevationDeg >= minPassElevationDeg) && inPassWindow(aosTime, passStartTime, passEndTime, utc) && inPassWindow(losTime, passStartTime, passEndTime, utc)) { SatellitePass *pass = new SatellitePass; pass->m_aos = aosUnknown ? QDateTime() : dateTimeToQDateTime(aosTime); pass->m_los = dateTimeToQDateTime(losTime); pass->m_maxElevation = maxElevationDeg; pass->m_aosAzimuth = aosAz; pass->m_losAzimuth = losAz; pass->m_northToSouth = std::min(360.0-aosAz, aosAz-0.0) < std::min(360.0-losAz, losAz-0.0); passes.append(pass); noOfPasses--; if (noOfPasses <= 0) return passes; } } previousTime = currentTime; if (endOfPass) currentTime = currentTime + TimeSpan(0, 30, 0); // 30 minutes - no orbit likely to be that fast else currentTime = currentTime + TimeSpan(0, 0, 180); if (currentTime > endTime) currentTime = endTime; } if (aos) { // Pass still in progress at end time Eci eci = sgp4.FindPosition(currentTime); CoordTopocentric topo = obs.GetLookAngle(eci); losAz = Units::radiansToDegrees(topo.azimuth); double maxElevationDeg = findMaxElevation(obs, sgp4, aosTime, losTime); if ((maxElevationDeg >= minPassElevationDeg) && inPassWindow(aosTime, passStartTime, passEndTime, utc) && inPassWindow(losTime, passStartTime, passEndTime, utc)) { SatellitePass *pass = new SatellitePass; pass->m_aos = aosUnknown ? QDateTime() : dateTimeToQDateTime(aosTime); pass->m_los = QDateTime(); pass->m_aosAzimuth = aosAz; pass->m_losAzimuth = losAz; pass->m_maxElevation = maxElevationDeg; pass->m_northToSouth = std::min(360.0-aosAz, aosAz-0.0) < std::min(360.0-losAz, losAz-0.0); passes.append(pass); } } return passes; } void getSatelliteState(QDateTime dateTime, const QString& tle0, const QString& tle1, const QString& tle2, double latitude, double longitude, double altitude, int predictionPeriod, int minAOSElevationDeg, int minPassElevationDeg, QTime passStartTime, QTime passFinishTime, bool utc, int noOfPasses, int groundTrackSteps, SatelliteState *satState) { try { Tle tle = Tle(tle0.toStdString(), tle1.toStdString(), tle2.toStdString()); SGP4 sgp4(tle); Observer obs(latitude, longitude, altitude); DateTime dt = qDateTimeToDateTime(dateTime); // Calculate satellite position Eci eci = sgp4.FindPosition(dt); // Calculate angle to satellite from antenna CoordTopocentric topo = obs.GetLookAngle(eci); // Convert satellite position to geodetic coordinates (lat and long) CoordGeodetic geo = eci.ToGeodetic(); satState->m_latitude = Units::radiansToDegrees(geo.latitude); satState->m_longitude = Units::radiansToDegrees(geo.longitude); satState->m_altitude = geo.altitude; satState->m_azimuth = Units::radiansToDegrees(topo.azimuth); satState->m_elevation = Units::radiansToDegrees(topo.elevation); satState->m_range = topo.range; satState->m_rangeRate = topo.range_rate; OrbitalElements ele(tle); satState->m_speed = eci.Velocity().Magnitude(); satState->m_period = ele.Period(); if (noOfPasses > 0) { qDeleteAll(satState->m_passes); satState->m_passes = createPassList(obs, sgp4, dt, predictionPeriod, Units::degreesToRadians((double)minAOSElevationDeg), minPassElevationDeg, passStartTime, passFinishTime, utc, noOfPasses); } getGroundTrack(dateTime, tle0, tle1, tle2, groundTrackSteps, false, satState->m_groundTrack); getGroundTrack(dateTime, tle0, tle1, tle2, groundTrackSteps, true, satState->m_predictedGroundTrack); } catch (SatelliteException& se) { qDebug() << "getSatelliteState: " << satState->m_name << ": " << se.what(); } catch (DecayedException& de) { qDebug() << "getSatelliteState: " << satState->m_name << ": " << de.what(); } catch (TleException& tlee) { qDebug() << "getSatelliteState: " << satState->m_name << ": " << tlee.what(); } }