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The gravity-perturbed Lambert problem: A KS variation of parameters approach

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Abstract

A new formulation is presented for the perturbed Lambert problem. The formulation employs the variation-of-parameters method in the KS transformed state space to determine perturbations of a Keplerian Lambert solution. The approach is universal (in that its validity is not restricted to a particular energy domain). For the case of the second zonal harmonic (oblateness) perturbation, first order perturbations are carried out entirely analytically; non-iterative corrections are determined through solution of a pair of algebraic equations. For more general perturbations, numerical quadratures are required.

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Authors and Affiliations

  1. Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia, USA

    R. C. Engels & J. L. Junkins

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  1. R. C. Engels
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  2. J. L. Junkins
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Engels, R.C., Junkins, J.L. The gravity-perturbed Lambert problem: A KS variation of parameters approach. Celestial Mechanics 24, 3–21 (1981). https://doi.org/10.1007/BF01228790

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  • DOI: https://doi.org/10.1007/BF01228790

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