Abstract
In the restricted problem of three bodies, the effect of oblateness of the bigger primary appears as an additional term in the potential. As a result, the location of libration points and the roots of the characteristic equation at these points depend not only upon the mass parameter μ but also on the oblateness termI of the bigger primary. Series solutions are developed in terms of μ andI which are used for locating the collinear libration points and for determining the mean motions and characteristic exponents at these points.
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References
Deprit, Andre: 1965, ‘A Note Concerning Collinear Libration Centres’,Icarus,4, 273–278.
McCusky, S. W.: 1963,An Introduction to Celestial Mechanics, Addison-Wesley.
Nikoleav, S. I.: 1970, ‘A Certain Generalization of the Restricted Three Body Problems’Math. Phys. No. 8 (Russian), 131–137.
Sharma, R. K.: 1976, Doctoral Thesis, University of Delhi.
Szebehely, V.: 1967,Theory of Orbits, Academic Press.
Szebehely, V., Ingram, D. S. and Cochran, J. E.: 1970,Astron. J. 75, 92–95.
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The work is supported by a fellowship awarded to the second author by University Grant Commission, India.
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Bhatnagar, K.B., Chawla, J.M. The effect of oblateness of the bigger primary on collinear libration points in the restricted problem of three bodies. Celestial Mechanics 16, 129–136 (1977). https://doi.org/10.1007/BF01228595
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DOI: https://doi.org/10.1007/BF01228595