The Lagrange coefficients of Vinti theory

Abstract

The existence of Lagrange coefficients under two-body dynamics is well known, and the concept forms the basis of robust algorithms for solving a variety of fundamental astrodynamics problems. The Lagrange coefficients are generalized to Vinti theory in the present work, where the Vinti potential describes the dynamics of small objects like spacecraft orbiting an oblate body. Exact expressions for the coefficients are provided in various forms alongside detailed derivations. Useful properties and geometrical interpretations are also established.

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  • 25 June 2020

    In the first paragraph of the Introduction, the last sentence should read as “ Vinti.

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Correspondence to Ashley D. Biria.

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The original version of this article was revised: the detailed corrections have been given in the correction article.

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Biria, A.D. The Lagrange coefficients of Vinti theory. Celest Mech Dyn Astr 132, 26 (2020). https://doi.org/10.1007/s10569-020-09966-4

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Keywords

  • Lagrange coefficients
  • Vinti theory
  • Spheroidal method
  • Intermediary