Exact expressions for the pericenter precession caused by some Dark Matter distributions and constraints on them from orbital motions in the Solar System, in the double pulsar and in the Galactic center
arXiv:1304.6396 · doi:10.3390/galaxies1010006
Abstract
We analytically calculate the secular precession of the pericenter of a test particle orbiting a central body surrounded by a continuous distribution of Dark Matter (DM) by using some commonly adopted density profiles for it. We obtain exact expressions without resorting to a-priori simplifying assumptions on the orbital geometry of the test particle. Our formulas allow us to put constraints on the parameters of the DM distributions considered in several local astronomical and astrophysical scenarios, such as the Sun's planetary system, the double pulsar, and the stellar system around the supermassive black hole in Sgr A, all characterized by a wide variety of orbital configurations.
LaTex2e, 26 pages, 1 table, 4 figures, 78 references. Accepted for publication in Galaxies for the special issue "Cosmology with Fluid Components"
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Cited by in corpus (15)
- Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
- Dark matter distributions around massive black holes: A general relativistic analysis
- Dynamical constraints on a dark matter spike at the Galactic Centre from stellar orbits
- Scalar field effects on the orbit of S2 star
- Physical laboratory at the center of the Galaxy
- The Galactic Center as a laboratory for theories of gravity and dark matter
- Weighing of the Dark Matter at the Center of the Galaxy
- On the Newtonian and Spin-induced Perturbations felt by the Stars Orbiting around the Massive Black Hole in the Galactic Center
- Dark matter concentrations in galactic nuclei according to polytropic models
- The short-period S-stars S4711, S62, S4714 and the Lense-Thirring effect due to the spin of Sgr A
- Modeling the black holes surrounded by a dark matter halo in the galactic center of M87
- Weyl conformastatic perihelion advance of small body objects
- Anomalous precession of planets on a Weyl conformastatic solution
- Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory
- Dark Matter: The Problem of Motion