Coordinates and Satellite Orbits

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2013/3/6Jyh-Ching Juang, EE, NCKUGPS Ephemeris AlgorithmThe ephemeris algorithm is to determine the position of the satellite.Time since ephemeris reference time (and correction for end-of-week)tk t - toetk 604800, if tk 302400Semimajor axist , if 302400 302400ktk tk1/2a= a 2t k 604800, elsewhereMean motion and corrected mean motionn 0n n a 30nMean anomalyMkM0ntkEccentric anomaly (by solving the Kepler’s equation)M k E k e sinEkTrue anomaly cos E - kecossinEk1-ecosE 2 ksink1 ek1- e cos EArgument of latitude (in the orbital plane) kkk39Jyh-Ching Juang, EE, NCKUGPS Ephemeris AlgorithmThe ephemeris algorithm is to determine the position of the satellite.Corrected argument of latitudeu C cos(2 ) Csin(2 )Corrected radiusk k uc k us krk a(1ecos Ek) Crccos(2 k) Crssin(2 k)Corrected inclinationdiik i0 Ciccos(2 k) Cissin(2 k) tkdtCorrected longitude of ascending node 0 ttPosition in the orbital planek earth k earth oe' x cosuk k r' k y sinukk Position in ECEF frame''x kxkcos kyk cosik sink ' 'yk xk sinkykcosik cos k'z k yk sinik4020
2013/3/6GPS AlmanacJyh-Ching Juang, EE, NCKUAlmanac data: satellite orbit data to facilitate satellite search andplanning.GPS almanac: broadcast in navigation message for the wholeconstellationSatellite PRNSatellite health statusCurrent GPS weekReference epochSquare root of semimajor axisEccentricityMean anomaly at reference epochArgument of perigeeOffset in inclinationLongitude of the node at weekly epochRate of the node’s right ascensionClock phase biasClock frequency biasAlmanac algorithm: a simplified ephemeris algorithm4121
Page 2: 2013/3/6Latitude and LongitudeJyh-C
Page 6 and 7: 2013/3/6Topocentric CoordinatesJyh-
Page 8 and 9: 2013/3/6WGS-84 ParametersJyh-Ching
Page 10 and 11: 2013/3/6ConservationJyh-Ching Juang
Page 12 and 13: 2013/3/6Jyh-Ching Juang, EE, NCKUKe
Page 14 and 15: 2013/3/6Jyh-Ching Juang, EE, NCKUGP
Page 16 and 17: 2013/3/6Matlab ExercisesJyh-Ching J
Page 19: 2013/3/6GPS Orbit PerturbationJyh-C

Coordinates and Satellite Orbits

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