Transcription of Reference Earth Model - WGS84
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Reference Earth Model - WGS84
1 Reference Earth Model - WGS84 (Copyright 2002, David T. Sandwell) parameter description formula value/unit GMe ( WGS84 ) x 1014 m3s 2 Me mass of Earth - x 1024 kg G gravitational constant - 11 m3 kg 1 s 2 a equatorial radius ( WGS84 ) - 6378137 m c polar radius (derived) - m rotation rate ( WGS84 ) - x 10-5 rad s-1 f flattening ( WGS84 ) f = (a - c)/a 1 J2 dynamic form factor (derived) - x 10-3 g geographic latitude - - geocentric latitude - - Radius of spheroid Conversion between geocentric and geographic g latitude tan =c2a2tan g or tan =1 f()2tan g (2)r ()=cos2 a2+sin2 c2" # $ $ % & ' ' -1/2 a1 fsin2 () (1) spheroid c g a 2 Gravitational potential in frame rotating with the Earth Calculation of the second degree harmonic, J2 from WGS84 parameters Calculation of J2 from the polar-C and equatorial-A moments of inertia Kepler's third law relating orbit frequency- s , and radius-r, to Me Measurement of J2 from orbit frequency- s
2 from WGS84 parameters Calculation of J 2 from the polar-C and equatorial-A moments of inertia Kepler's third law relating orbit frequency-ω s, and radius-r, to M e Measurement of J 2 from orbit frequency-ω s, radius-r, inclination-i, and precession rate-ω p Hydrostatic flattening is less than observed flattening J 2 = 2 3 f− a3ω2 3GM e ...
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