Restricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid

Restricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid

M. Javed Idrisi

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M. Shahbaz Ullah

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α Alfalah University

Restricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid

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Abstract

The present paper deals with the existence and stability of libration points in restricted three-body problem with Albedo effect when less massive primary is an oblate spheroid. Since, the spacecraft is affected by both radiations i.e radiation pressure as well as Albedo. In this paper this is investigated how Albedo perturbed the libration points and its stability? It is found that there exist five libration points, three collinear and two non-collinear, the non-collinear libration points are stable for a critical value of mass parameter 0< μ < μ c where μ c = 0.0385208965 ... -(0.00891747 + 0.222579k) α -0.0627796 σ but collinear libration points are still unstable. Also, an example of Sun-Earth system is taken in the last as a real application.

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How to Cite This Article

M. Javed Idrisi. 2017. \u201cRestricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5): .

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GJSFR Volume 17 Issue F5
Pg. 9- 24

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 00A69

Submission ReceivedMay 13, 2017
Peer Review Double Blind
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Accepted June 3, 2017
Published June 13, 2017

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August 24, 2017

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: M. Javed Idrisi, M. Shahbaz Ullah (PhD/Dr. count: 0)

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