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Analytic construction of periodic orbits about the collinear points

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Abstract

A third-order analytical solution for halo-type periodic motion about the collinear points of the circular-restricted problem is presented. The three-dimensional equations of motion are obtained by a Lagrangian formulation. The solution is constructed using the method of successive approximations in conjunction with a technique similar to the Lindstedt-Poincaré method. The theory is applied to the Sun-Earth system.

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Authors and Affiliations

  1. Department of Aerospace Engineering, University of Cincinnati, 45221, Cincinnati, OH, USA

    David L. Richardson

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  1. David L. Richardson
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Richardson, D.L. Analytic construction of periodic orbits about the collinear points. Celestial Mechanics 22, 241–253 (1980). https://doi.org/10.1007/BF01229511

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  • DOI: https://doi.org/10.1007/BF01229511

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