Gravitational perturbation theory for intersatellite tracking |
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| Authors: | M K Cheng |
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| Institution: | (1) Center for Space Research, University of Texas at Austin, 3925 W. Braker Ln. 200, Austin, TX 78759-5321, USA e-mail: cheng@csr.utexas.edu; Tel.: +1-512-471-7818; Fax: +1-512-471-3570, US |
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| Abstract: | An analytical gravitational perturbation theory for the intersatellite tracking range and range-rate measurement between
two satellites is developed. The satellite-to-satellite tracking (SST) range data measure the difference between the position
perturbations of two satellites along the direction of the intersatellite range. The SST range-rate data measure the difference
between the velocity perturbations along the direction of the intersatellite range, and the difference of the position perturbation
along the direction perpendicular to the intersatellite range (cross-range). The SST range and range rate depend on different
orbital excitations for mapping the gravity field. For the Gravity Recovery and Climate Experiment (GRACE), approximately
97% of the geopotential coefficient pairs produce perturbations with a root-mean-square larger than 1 m on the range and 0.1
m/sec on the range rate based on the EGM96 gravity field truncated at degree and order 140. Results in this study showed that
ocean tides produce significant perturbations in the range and range-rate measurements. An ocean tide field with a higher
degree and order (>70) is required to model the ocean tide perturbations on the intersatellite range and range-rate measurement.
Received: 17 May 2000 / Accepted: 3 September 2001 |
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| Keywords: | : Gravitational perturbation – Satellite-to-satellite tracking – Gravity – Ocean tides |
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