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Ideal frames for perturbed Keplerian motions

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Abstract

Cartan's exterior calculus is used to refer a perturbed Keplerian motion to an ideal frame by means of either the Eulerian parameters or the Eulerian angles, in which case the equations are given a Hamiltonian form. The results are compared with the corresponding systems in the orbital and nodal frames.

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Authors and Affiliations

  1. Dept. of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, U.S.A.

    Andre Deprit

  2. Division of Applied Mathematics, National Bureau of Standards, Gaithersburg, Md., U.S.A.

    Andre Deprit

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  1. Andre Deprit
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Deprit, A. Ideal frames for perturbed Keplerian motions. Celestial Mechanics 13, 253–263 (1976). https://doi.org/10.1007/BF01232728

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  • DOI: https://doi.org/10.1007/BF01232728

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