Application of Encke's method for low-earth orbit determination

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Encke Method, Orbit Calculation, Satellite Perturbation, Minimum Variance Orbit Determination, Numerical Integration, Satellite Control, Stationkeeping

Scientific paper

An analysis is made to study the application of Encke's method for low-earth orbit propagation and determination. The numerical results, based on a comparison to Cowell's method using a single-step integration algorithm, have shown that for a typical low-earth orbit the integration step size can be increased by a factor of three while maintaining the same accuracy when the reference orbit is reinitialized frequently. The paper also addresses the integration of Encke's method using a multi-step algorithm such as the eighth-order Gauss-Jackson and exposes a numerical difficulty which is caused by frequency rectification of the reference orbit using a common starting method for the algorithm.

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