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The extended phase space formulation of the Vinti problem

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Abstract

The Vinti problem, motion about an oblate spheroid, is formulated using the extended phase space method. The new independent variable, similar to the true anomaly, decouples the radius and latitude equations into two perturbed harmonic oscillators whose solutions toO(J 42 ) are obtained using Lindstedt's method. From these solutions and the solution to the Hamilton-Jacobi equation suitable angle variables, their canonical conjugates and the new Hamiltonian are obtained. The new Hamiltonian, accurate toO(J 42 ) is function of only the momenta.

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Authors and Affiliations

  1. Naval Research Laboratory, Washington, D.C., USA

    K. T. Alfriend, R. Dasenbrock & H. Pickard

  2. University of Cincinnati, Cincinnati, Ohio, USA

    A. Deprit

Authors
  1. K. T. Alfriend
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  2. R. Dasenbrock
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  3. H. Pickard
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  4. A. Deprit
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Alfriend, K.T., Dasenbrock, R., Pickard, H. et al. The extended phase space formulation of the Vinti problem. Celestial Mechanics 16, 441–458 (1977). https://doi.org/10.1007/BF01229287

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  • DOI: https://doi.org/10.1007/BF01229287

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