A Multi-Angle Averaging Theorem Applied to the J2 Problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Averaging Theory, The J_2 Problem

Scientific paper

A particular multi-angle averaging theorem for systems admitting a finite Fourier expansion of the field is presented, together with its application to the problem of motion around an oblate planet (the J2 problem), in harmonic oscillator formulation. This method of approximate integration has the advantage of working with (close on) directly measurable elements.

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