Mathematics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984stin...8433316s&link_type=abstract
Unknown
Mathematics
Dynamic Models, Geopotential Research Mission, Gravitational Fields, Orbital Elements, Spacecraft Motion, Computer Systems Programs, Equations Of Motion, Geopotential, Jacobi Matrix Method, Matrices (Mathematics), Nonlinear Systems, Satellite Orbits, Simulation
Scientific paper
The stability of the nonlinear dynamical system of two GRAVSAT - type satellites was investigated by performing several numerical experiments which provide the simulations of the relative motion characteristics between the two satellites for various specified time intervals. The simulations included the relative range, range-rate, and relative acceleration magnitude. These simulations were generated with respect to appropriate initial orbital elements which were obtained such that the instantaneous separation distance between the two satellites has small fluctuations from a specified constant separation distance. The simulation results indicate that the behavior of the relative motions is very sensitive to the initial orbital elements of the satellites and that for a specified time interval of interest. A stable behavior is possible only with the use of an appropriate set of initial orbital elements compatible with the gravity field used to derive them.
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