On the Artificial Equilibrium Points in a Generalized Restricted Problem of Three Bodies

Kumari Ranjana; Vijay Kumar

doi:10.4236/ijaa.2013.34059

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International Journal of Astronomy and Astrophysics > Vol.3 No.4, December 2013

On the Artificial Equilibrium Points in a Generalized Restricted Problem of Three Bodies ()

Kumari Ranjana, Vijay Kumar

L S College, B.R.A.B University, Muzaffarpur, India.
Lakshmibai College, University of Delhi, New Delhi, India.

DOI: 10.4236/ijaa.2013.34059 PDF HTML XML 4,373 Downloads 6,106 Views Citations

Abstract

The present article studies the stability conditions of central control artificial equilibrium generalized restricted problem of three bodies. It is generalized in the sense that here we have taken the larger primary body to be in shape of an oblate spheroid. The equilibrium points are sought by the application of the propellant for which it would just balance the gravitational forces. The launching flight of such a satellite is seen to be applicable for having arbitrary space stations for these different missions. Specialty of the result of the investigation lies in the fact that an arbitrary space station can be formed to attain any specified mission.

Keywords

Three-Body Problem; Artificial Equilibrium Points; Minimum Thrust

Share and Cite:

K. Ranjana and V. Kumar, "On the Artificial Equilibrium Points in a Generalized Restricted Problem of Three Bodies," International Journal of Astronomy and Astrophysics, Vol. 3 No. 4, 2013, pp. 508-516. doi: 10.4236/ijaa.2013.34059.

Conflicts of Interest

The authors declare no conflicts of interest.

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