Orbit classification in a pseudo-Newtonian Copenhagen problem with Schwarzschild-like primaries
arXiv:1907.09201 · doi:10.1093/mnras/stz1432
Abstract
We examine the orbital dynamics of the planar pseudo-Newtonian Copenhagen problem, in the case of a binary system of Schwarzschild-like primaries, such as super-massive black holes. In particular, we investigate how the Jacobi constant (which is directly connected with the energy of the orbits) influences several aspects of the orbital dynamics, such as the final state of the orbits. We also determine how the relativistic effects (i.e., the Schwarzschild radius) affect the character of the orbits, by comparing our results with the classical Newtonian problem. Basin diagrams are deployed for presenting all the different basin types, using multiple types of planes with two dimensions. We demonstrate that both the Jacobi constant as well as the Schwarzschild radius highly influence the character of the orbits, as well as the degree of fractality of the dynamical system.
arXiv commentPublished in Monthly Notices of the Royal Astronomical Society (MNRAS) journal
References in corpus (12)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Discovery of a binary AGN in the ultraluminous infrared galaxy NGC 6240 using Chandra
- Low-frequency gravitational-wave science with eLISA/NGO
- The Origin of Double-Peaked Narrow Lines in Active Galactic Nuclei I: Very Large Array Detections of Dual AGNs and AGN Outflows
- Description of Pseudo-Newtonian Potential for the Relativistic Accretion Disk around Kerr Black Holes
- An accurate Newtonian description of particle motion around a Schwarzschild black hole
- Newtonian models for black hole-gaseous star close binary systems
- Pseudo-Newtonian planar circular restricted 3-body problem
- Newtonian and Pseudo-Newtonian Hill Problem
- Pseudo-Newtonian Potentials for Nearly Parabolic Orbits
- Orbit classification in an equal-mass non-spinning binary black hole pseudo-Newtonian system
- Pseudo-Newtonian equations for evolution of particles and fluids in stationary space-times