Abstract
The resticted circular three-body problem is considered. In this problem two massive bodies, simulated by point masses with massess of unity and μ, move in specified circular orbits around a common centre of mass, while a third body of small mass, simulated by a viscoelastic deformable sphere, has no effect on the motion of the first two and moves in a gravitational field generated by the firs two bodies. The scattering of energy when the viscoelastic sphere is deformed leads to the evolution of its orbit and of the angular velocity of motion. In the development of previous results [1] a system of equations is obtained taking into account the second approximation with respect to the small parameter μ, describing the total pattern of the evolution of the motion of the viscoelastic sphere in the restricted circular three-body problem.
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