The existence and stability of the equilbrium points of a triaxial rigid body moving around another triaxial rigid body

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Celestial Mechanics, Gravitational Effects, Lagrangian Equilibrium Points, Libration, Rigid Structures, Equations Of Motion, Existence Theorems, Numerical Stability

Scientific paper

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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