Periodic orbits and chaos around two fixed black holes. II

Details Periodic orbits and chaos around two fixed black holes. II Periodic orbits and chaos around two fixed black holes. II

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991rspsa.435..551c&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 435, no. 1895, Dec. 9,

Astronomy and Astrophysics

Astronomy

47

Black Holes (Astronomy), Chaos, Orbital Mechanics, Satellite Orbits, Equations Of Motion, Geodesic Lines, Particle Motion, Period Doubling, Poincare Problem

Scientific paper

The orbits of particles (time-like geodesics) around two fixed black holes when the energy is elliptic, i.e., it does not allow the motion to extend to infinity, are studied. Most orbits are chaotic, but in many cases there are also ordered motions around stable periodic orbits. The orbits that fall into the first or the second black hole are separated by unstable periodic orbits. These are the satellite periodic orbits around the black holes when they exist. But for certain intervals of parameters there are no satellite orbits around the first or the second black hole. Then the limiting orbits are like arcs of hyperbolas, reaching the curve of zero velocity.

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