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Computation of the Liapunov Orbits in the Photogravitational RTBP with Oblateness

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Abstract

We study the periodic motion around the collinear equilibrium points of the restricted three-body problem when the primary is a source of radiation and the secondary is an oblate spheroid. In particular, the Liapunov families of two and three dimensional periodic orbits are computed. In order to gain the appropriate initial conditions a third-fourth order Lindstedt-Poincaré local analysis is used. The stability of these families is also computed.

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Authors and Affiliations

  1. Department of Engineering Sciences, University of Patras, Patras, Greece

    G. A. Tsirogiannis, C. N. Douskos & E. A. Perdios

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  1. G. A. Tsirogiannis
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  2. C. N. Douskos
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  3. E. A. Perdios
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Correspondence to E. A. Perdios.

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Tsirogiannis, G.A., Douskos, C.N. & Perdios, E.A. Computation of the Liapunov Orbits in the Photogravitational RTBP with Oblateness. Astrophys Space Sci 305, 389–398 (2006). https://doi.org/10.1007/s10509-006-9171-3

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  • DOI: https://doi.org/10.1007/s10509-006-9171-3

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