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The determination of the derivatives in Brown's lunar theory

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Abstract

The fundamental matrix solutionT for the variational equations of a Hamiltonian system is symplectic. We use this fact to completeT when it is only partially known. We discuss three cases. The last one gives an easy proof for the method invented by Brown in his lunar theory.

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Authors and Affiliations

  1. Dept. of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, USA

    Kenneth R. Meyer & Dieter S. Schmidt

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  1. Kenneth R. Meyer
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  2. Dieter S. Schmidt
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Dedicated to Victor Szebehely.

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Meyer, K.R., Schmidt, D.S. The determination of the derivatives in Brown's lunar theory. Celestial Mechanics 28, 201–207 (1982). https://doi.org/10.1007/BF01230673

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  • DOI: https://doi.org/10.1007/BF01230673

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