Numerical exploration of the photogravitational restricted five-body problem |
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| Authors: | K E Papadakis S S Kanavos |
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| Institution: | (1) Department of Engineering Sciences, Division of Applied Mathematics and Mechanics, University of Patras, 26504 Patras, Greece |
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| Abstract: | We study numerically the restricted five-body problem when some or all the primary bodies are sources of radiation. The allowed
regions of motion as determined by the zero-velocity surface and corresponding equipotential curves, as well as the positions
of the equilibrium points are given. We found that the number of the collinear equilibrium points of the problem depends on
the mass parameter β and the radiation factors q
i
, i=0,…,3. The stability of the equilibrium points are also studied. Critical masses associated with the number of the equilibrium
points and their stability are given. The network of the families of simple symmetric periodic orbits, vertical critical periodic
solutions and the corresponding bifurcation three-dimensional families when the mass parameter β and the radiation factors q
i
vary are illustrated. Series, with respect to the mass (and to the radiation) parameter, of critical periodic orbits are
calculated. |
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| Keywords: | Five-body problem Radiation Equilibrium points Stability Critical periodic orbit Three-dimensional periodic orbit |
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