Computation of the Liapunov Orbits in the Photogravitational RTBP with Oblateness

Details Computation of the Liapunov Orbits in the Photogravitational RTBP with Oblateness Computation of the Liapunov Orbits in the Photogravitational RTBP with Oblateness

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006ap%26ss.305..389t&link_type=abstract

Astrophysics and Space Science, Volume 305, Issue 4, pp.389-398

Astronomy and Astrophysics

Astrophysics

1

Restricted Three Body Problem, Radiation, Oblateness, Equilibrium Points, Periodic Orbits, Liapunov Orbits

Scientific paper

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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