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A Multi-Angle Averaging Theorem Applied to the J2 Problem

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Abstract

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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Authors and Affiliations

  1. Laboratory for Gravitation, Institute for Gravitation and Space Sciences, Str. Mendeleev 21-25, 70168, Bucharest, Romania

    Cătălin Cucu-Dumitrescu & Dan Şelaru

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  1. Cătălin Cucu-Dumitrescu
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  2. Dan Şelaru
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Cucu-Dumitrescu, C., Şelaru, D. A Multi-Angle Averaging Theorem Applied to the J2 Problem. Celestial Mechanics and Dynamical Astronomy 69, 255–270 (1997). https://doi.org/10.1023/A:1008202825698

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