Non Linear Stability of L4 in photogravitational CRTBP

Satyendra Kumar Satya; Dinesh Kumar; Govind Kumar Jha; Pardeep Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V46P503

International Journal of Mathematics Trends and Technology

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Volume 46 | Number 1 | Year 2017 | Article Id. IJMTT-V46P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P503

Non Linear Stability of L4 in photogravitational CRTBP

Satyendra Kumar Satya, Dinesh Kumar, Govind Kumar Jha, Pardeep Kumar

Abstract

We have investigated the non-linear stability of the triangular libration point L4 of the Restricted Three Body Problem, when both the primaries are axes symmetric and source of radiation. It is observed that stability of L4 depends upon the lengths of the semi axes of the primaries and the radiation parameters.

Keywords

Restricted Three Body Problem, Axis Symmetric Body, Libration Points, Non Linear Stability, KAM Theorem.

References

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Citation :

Satyendra Kumar Satya, Dinesh Kumar, Govind Kumar Jha, Pardeep Kumar, "Non Linear Stability of L4 in photogravitational CRTBP," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 1, pp. 10-14, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P503