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

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M. Javed Idrisi
M. Javed Idrisi
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M. Shahbaz Ullah
M. Shahbaz Ullah
1 Al-Falah University

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GJSFR Volume 17 Issue F5

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Restricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid Banner
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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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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for 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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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
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v1.2

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August 24, 2017

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English

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

M. Javed Idrisi
M. Javed Idrisi Al-Falah University
M. Shahbaz Ullah
M. Shahbaz Ullah

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