Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006basi...34..327a&link_type=abstract
Bulletin of the Astronomical Society of India, vol. 34, Issue 4, p.327
Astronomy and Astrophysics
Astronomy
1
Restricted Three Body Problem, Axis Symmetric Body, Libration Points, Non-Linear Stability, Markeev'S Theorem.
Scientific paper
We have investigated the non-linear stability of the triangular libration point L4 of the Restricted three body problem under the presence of the third and fourth order resonances, when the bigger primary is an oblate body and the smaller a triaxial body and both are source of radiation. It is found through Markeev's theorem that L4 is always unstable in the third order resonance case and stable or unstable in the fourth order resonance case depending upon the values of the parameters A1 , A1 , A2 , P and P , where A1 , A1 and A2 , depends upon the lengths of the semi axes of the primaries and P and P are the radiation parameters.
Aggarwal Rajiv
Ahmad Iqbal
Taqvi Z. A.
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