The existence and stability of the equilibrium points of a triaxial rigid body moving around another triaxial rigid body |
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Authors: | K B Bhatnagar Usha Gupta |
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Institution: | (1) Dept. of Mathematics, Zakir Husain College, University of Delhi, Ajmere Gate, 10006 Delhi, India;(2) Dept. of Mathematics, Dyal Singh College, University of Delhi, Lodi Road, 110003 Delhi, India |
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Abstract: | The motion of two mutually attracting triaxial rigid bodies has been considered. Thirty six 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. |
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