Periodic Image Trajectories in Earth–Moon Space View Full Text


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Article Info

DATE

2012-11-16

AUTHORS

Mauro Pontani, Angelo Miele

ABSTRACT

The problem of identifying orbits that enclose both the Earth and the Moon in a predictable way has theoretical relevance as well as practical implications. In the context of the restricted three-body problem with primaries in circular orbits, periodic trajectories exist and have the property that a third body (e.g. a spacecraft) can describe them indefinitely. Several approaches have been employed in the past for the purpose of identifying similar orbits. In this work the theorem of image trajectories, proven five decades ago, is employed for determining periodic image trajectories in Earth–Moon space. These trajectories exhibit two fundamental features: (i) counterclockwise departure from a perigee on the far side of the Earth, and (ii) counterclockwise arrival to a periselenum on the far side of the Moon. An extensive, systematic numerical search is performed, with the use of a modified Poincaré map, in conjunction with a numerical refinement process, and leads to a variety of periodic orbits, with various interesting features for possible future lunar missions. More... »

PAGES

866-887

References to SciGraph publications

  • 2009-11-25. Optimal Low-Thrust Trajectories to the Interior Earth-Moon Lagrange Point in SPACE MANIFOLD DYNAMICS
  • 2010-07-24. Revisit of the Theorem of Image Trajectories in the Earth-Moon Space in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1980-10. Analytic construction of periodic orbits about the collinear points in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1987-03. Numerical determination of Lissajous trajectories in the restricted three-body problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2006-02. High-order Analytical Solutions of Hill’s Equations in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1973-06. Quasi-periodic orbits about the translunar libration point in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
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    URI

    http://scigraph.springernature.com/pub.10.1007/s10957-012-0220-5

    DOI

    http://dx.doi.org/10.1007/s10957-012-0220-5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1008166261


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