The extended phase space formulation of the Vinti problem View Full Text


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Article Info

DATE

1977-12

AUTHORS

K. T. Alfriend, R. Dasenbrock, H. Pickard, A. Deprit

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(J24) 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(J24) is function of only the momenta. More... »

PAGES

441-458

References to SciGraph publications

  • 1969-03. Canonical transformations depending on a small parameter in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1970-09. Satellite prediction formulae for Vinti's model in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1961. The Motion of an Artificial Satellite in the Normal Gravitational Field of the Earth in ARTIFICIAL EARTH SATELLITES
  • 1971. Linear and Regular Celestial Mechanics in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01229287

    DOI

    http://dx.doi.org/10.1007/bf01229287

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1050848251


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