Systematic disturbance error models for orbit determination

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Calculation, Orbital Position Estimation, Perturbation Theory, Satellite Orbits, Error Functions, Least Squares Method, Linearization, Maximum Likelihood Estimates

Scientific paper

Residual errors for orbit determination using high-order models for perturbation accelerations generally exhibit a good fit to the observations over fit intervals of a few days. In a few cases, however, these residual errors show systematic trends which lead to less accurate prediction. To the extent such errors are indeed systematic, their effect on an orbit can be modeled as a systematic disturbance error, whose coefficients are determined empirically by least-squares estimation. The present error model assumes constant-plus-ramp (in-time) accelerations in the radial, transverse, and normal orbit directions. Such accelerations can account for the secular effect of unmodeled errors in the various perturbation accelerations acting on a satellite. Results for the Skylab satellite for test data taken over a ten-day span in 1979 before its ultimate orbital decay demonstrate a potential sixfold improvement in orbit prediction accuracy over the baseline case without disturbance error models. Such acceleration-model refinements should, however, be used only when systematic errors are significant. Their indiscriminate use may well lead to larger, rather than smaller, prediction errors.

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