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First-order accurate theory of perturbed circular motion

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Abstract

This paper presents a basic frame applicable to any perturbed circular motion in any orbital inclination, and a method of resolution leading to a formal solution given here to the first order. The main advantage of the solution, expanded in Fourier series and non-singular variables, is the presence of iterative formation laws for its coefficients. The theory is then particularly accurate and suitable for various periodic perturbations. The comparison of the results with a numerical integration is convincing.

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  1. Dept. C.e.r.g.a. Avenue Copernic, Observatoire de la Côte d'Azur, 06130, Grasse, France

    E. Bois

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  1. E. Bois
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Bois, E. First-order accurate theory of perturbed circular motion. Celestial Mech Dyn Astr 58, 125–138 (1994). https://doi.org/10.1007/BF00695788

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  • DOI: https://doi.org/10.1007/BF00695788

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