What is it about?
Existence and linear stability of libration points were studied when the more massive primary is radiating and the smaller body is an oblate spheroid
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Why is it important?
We proved that the motion around libration points is periodic and derived relations which enabled us finding the values of the frequencies, periods of periodic orbits; the coefficients of long and short periodic terms; the lengths of semimajor and semiminor axes and the orientation of principle axes. In addition to this the results that we have obtained vary in the degree of accuracy from others in terms of the effect of oblateness as in Ishwar and Elipe (2001) and Tsirogiannis et al. (2006). Our results include the effects of oblateness up to 10^{−6} of the main term with respect to the smaller primary as well as the bigger is radiating in the restricted three-body problem. Some numerical values for the frequencies and their accompanied periods were calculated.
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Constructing this article was a great pleasure as it has one of the nearest co-authors to my self
Prof. Elbaz I. Abouelmagd
National Research Institute of Astronomy and Geophysics (NRIAG)
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This page is a summary of: The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness, Astrophysics and Space Science, December 2012, Springer Science + Business Media,
DOI: 10.1007/s10509-012-1335-8.
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