Orbit classification in a pseudo-Newtonian Copenhagen problem with Schwarzschild-like primaries
| Autor: | F. L. Dubeibe, Emilio Tejeda, Jan Nagler, Euaggelos E. Zotos |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
010308 nuclear & particles physics FOS: Physical sciences Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) Orbital mechanics Dynamical system 01 natural sciences General Relativity and Quantum Cosmology Classical mechanics Character (mathematics) Space and Planetary Science 0103 physical sciences Newtonian fluid Orbit (dynamics) Astrophysics::Earth and Planetary Astrophysics Relativistic quantum chemistry Constant (mathematics) 010303 astronomy & astrophysics Schwarzschild radius |
| DOI: | 10.48550/arxiv.1907.09201 |
| Popis: | 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. Comment: Published in Monthly Notices of the Royal Astronomical Society (MNRAS) journal |
| Databáze: | OpenAIRE |
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