Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ap%26ss.310..119p&link_type=abstract
Astrophysics and Space Science, Volume 310, Issue 1-2, pp. 119-130
Astronomy and Astrophysics
Astrophysics
3
Five-Body Problem, Radiation, Equilibrium Points, Stability, Critical Periodic Orbit, Three-Dimensional Periodic Orbit
Scientific paper
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.
Kanavos S. S.
Papadakis K. E.
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