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

Article ID

2JH7V

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
DOI

Abstract

The present paper deals with the existence and stability of libra- tion points in restricted three-body problem with Albedo effect when less mas- sive 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 investi- gated 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 < ? ? ?c where ?c = 0.0385208965 ... - (0.00891747 + 0.222579k) ? - 0.0627796 ? but collinear libration points are still unstable. Also, an example of Sun-Earth system is taken in the last as a real application.

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

The present paper deals with the existence and stability of libra- tion points in restricted three-body problem with Albedo effect when less mas- sive 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 investi- gated 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 < ? ? ?c where ?c = 0.0385208965 … – (0.00891747 + 0.222579k) ? – 0.0627796 ? but collinear libration points are still unstable. Also, an example of Sun-Earth system is taken in the last as a real application.

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

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M. Javed Idrisi. 2017. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5): .

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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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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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