Geodynamics from the analysis of the mean orbital motion of geodetic satellites

Secular and long periodic perturbing forces acting on the orbit of an artificial satellite are modelled and included in a semi-analytical theory of the mean orbital motion. Gravitational and nongravitational forces are averaged using analytical transformations and numerical quadratures, respectively. As non-gravitational modelling is the first source of problems arising in the determination of geodynamical parameters, special attention is given to this question. Resulting averaged equations of motion are integrated numerically allowing the visualization and deconelarion of long periodic signals in the classical mean orbital elements. Observed mean orbital elements of LAGEOS (18 years) and Starlette (14 years) have been computed from Satellite Laser Ranging (SLR) measurements which had fast been reduced by classical orbit fits on short arcs. The results of these long arc solutions exhibit variations of geodynamical coefficients at different periods ranging from semi-annual and annual to 9.3 and 18.6 years. Values of coefficients are compared to other results obtained recently in this field.

[1]  W. M. Kaula.  Theory of satellite geodesy , 1966 .

[2]  Mean elements of GEOS 1 and GEOS 2 , 1973 .

[3]  D. E. Cartwright,et al.  Corrected Tables of Tidal Harmonics , 1973 .

[4]  E. W. Schwiderski.  Ocean Tides. Part 1. Global Ocean Tidal Equations , 1980 .

[5]  John M. Wahr,et al.  Body tides on an elliptical, rotating, elastic and oceanless earth , 1981 .

[6]  A. Hedin.  MSIS‐86 Thermospheric Model , 1987 .

[7]  B. Chao,et al.  Global surface-water-induced seasonal variations in the earth's rotation and gravitational field , 1988 .

[8]  John M. Wahr,et al.  Spectroscopic Analysis of Global Tide Gauge Sea Level Data , 1990 .

[9]  Remko Scharroo,et al.  On the along-track acceleration of the LAGEOS satellite , 1991 .

[10]  N. K. Pavlis,et al.  Temporal variations of the Earth's gravitational field from satellite laser ranging to LAGEOS , 1993 .

[11]  P. Exertier,et al.  Long period variations of the motion of a satellite due to non-resonant tesseral harmonics of a gravity potential , 1993 .

[12]  A. Cazenave,et al.  Temporal Variations of the Earth Gravity Field For 1985–1989 Derived From Lageos , 1993 .

[13]  V. Slabinski.  A numerical solution for lageos thermal thrust: The rapid-spin case , 1994 .

[14]  Pierre Exertier,et al.  Semi-analytical theory of the mean orbital motion. , 1995 .

[15]  B. Chao,et al.  Global gravitational changes due to atmospheric mass redistribution as observed by the Lageos nodal residual , 1995 .

[16]  A. Cazenave,et al.  Temporal Variations of the Gravity Field from Lageos 1 and Lageos 2 Observations , 1996 .

[17]  Anny Cazenave,et al.  Global Gravity Field and Its Temporal Variations , 1996 .

[18]  G. W. Davis,et al.  The Joint Gravity Model 3 , 1996 .

[19]  D. Dong,et al.  Seasonal Variations of the Earth's Gravitational Field: An Analysis of Atmospheric Pressure, Ocean Tidal, and Surface Water Excitation , 1996 .

[20]  R. Nerem,et al.  Secular Variations of the Zonal Harmonics and Polar Motion as Geophysical Constraints , 1996 .

[21]  F. Barlier,et al.  The rotation of LAGEOS and its long‐term semimajor axis decay: A self‐consistent solution , 1996 .

[22]  S. Bettadpur,et al.  Temporal Variability of Earth’s Gravitational Field from Satellite Laser Ranging , 1996 .

[23]  B. Chao,et al.  Long-period variations in gravity field caused by mantle anelasticity , 1996 .

[24]  John C. Ries,et al.  Nongravitational effects and the LAGEOS eccentricity excitations , 1997 .

[25]  S. Bruinsma,et al.  Mean Orbital Motion of Geodetic Satellites and its Applications , 1997 .

[26]  S. Bruinsma,et al.  Semi-analytical theory of mean orbital motion: A new tool for computing ephemerides , 1997 .

[27]  Jean-Charles Marty,et al.  Long-wavelength global gravity field models: GRIM4-S4, GRIM4-C4 , 1997 .

[28]  Byron D. Tapley,et al.  Determination of long-term changes in the Earth's gravity field from satellite laser ranging observations , 1997 .

[29]  N. K. Pavlis,et al.  The Development of the Joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) Geopotential Model EGM96 , 1998 .

[30]  R. Biancale,et al.  Improvement of the empirical thermospheric model DTM: DTM94 – a comparative review of various temporal variations and prospects in space geodesy applications , 1998 .

[31]  Byron D. Tapley,et al.  Seasonal variations in low degree zonal harmonics of the Earth's gravity field from satellite laser ranging observations , 1999 .