Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap%26ss.315..323k&link_type=abstract
Astrophysics and Space Science, Volume 315, Issue 1-4, pp. 323-334
Astronomy and Astrophysics
Astrophysics
2
Sitnikov Motions, Restricted Three-Body Problem, Three-Dimensional Periodic Orbits, Stability
Scientific paper
We consider the photogravitational restricted three-body problem with oblateness and study the Sitnikov motions. The family of straight line oscillations exists only in the case where the primaries are of equal masses as in the classical Sitnikov problem and have the same oblateness coefficients and radiation factors. A perturbation method based on Floquet theory is applied in order to study the stability of the motion and critical orbits are determined numerically at which families of three-dimensional periodic orbits of the same or double period bifurcate. Many of these families are computed.
Kalantonis V. S.
Perdios E. A.
Perdiou A. E.
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