In this research, we went into case of relative equilibrium for two
punctual bodies and non-punctual rigid body. We supposed that the
bodies are isolated and they revolve around their common center of
mass. We cared with the case which in the rigi
d body is tight or
pressured sphere, and its symmetry plane is motion plane of the two
punctual bodies.
We looked for the near relative equilibrium positions of Lagrange
points, we found that there are relative equilibrium positions when
centers of three bodies' masses are heads of isosceles triangle, its
vertex is center of spherical body's mass, and near of Lagrange
triangle which is equilateral triangle.
In mentioned relative positions, we showed that the spherical body
will get near from the two punctual bodies if it's pressured and it
will move away from them if it's tight.
