One-step methods for the prediction of orbital motion, taking its periodic components into account

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Numerical Integration, Orbit Calculation, Prediction Analysis Techniques, Approximation, Computer Techniques, Differential Equations, Trigonometric Functions

Scientific paper

The paper examines the design and analysis of the properties of implicit one-step integration methods which use the trigonometric approximation of ordinary differential equations containing periodic components. With reference to an orbital-motion prediction example, it is shown that the proposed schemes are more efficient in terms of computer memory than Everhart's (1974) approach. The results obtained make it possible to improve Everhart's method.

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