Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....91..194b&link_type=abstract
Astronomy and Astrophysics, vol. 91, no. 1-2, Nov. 1980, p. 194-201. Research supported by the University Grants Commission of
Astronomy and Astrophysics
Astrophysics
4
Celestial Mechanics, Dynamic Stability, Librational Motion, Rigid Structures, Two Body Problem, Density Distribution, Equations Of Motion, Gravitational Effects, Liapunov Functions
Scientific paper
The motion of two mutually attracting rigid bodies, both of which are axisymmetric with axisymmetric density distribution has been considered. Nine particular solutions corresponding to the libration points and analogous to the points Spoke, Arrow, and Float (Duboshin, 1959) have been found. The stability of these libration points has been discussed in two categories of cases. In the first category, different shapes of the bodies have been taken and in the second category, the mass and the linear dimensions of one of the bodies have been taken small in comparison to the other. Lastly, one of the bodies has been taken a rod which is considered as a limiting case of a prolate spheroid.
Bhatnagar K. B.
Gupta Urvashi
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