Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-08-10
Mon.Not.Roy.Astron.Soc.411:453-463,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTex2e, 23 pages, no tables, 1 figure. To appear in Monthly Notices of the Royal Astronomical Society (MNRAS)
Scientific paper
10.1111/j.1365-2966.2010.17701.x
We analytically work out the cumulative, i.e. averaged over one orbital revolution, time variations of the radial velocity v_r of a typical S star orbiting the Supermassive Black Hole (SBH) hosted by the Galactic Center (GC) in Sgr A* caused by several dynamical eff?ects. They are the general relativistic gravitoelectromagnetic (GEM) fields of the SBH, its quadrupole mass moment Q2, and a diffuse dark matter distribution around the SBH. All of them induce non-zero secular radial accelerations proportional to the eccentricity e of the orbit. By taking the S2 star, orbiting the SBH along a highly eccentric (e = 0.8831) ellipse with a period Pb = 15.9 yr, we numerically compute the magnitudes of its radial accelerations (Abridged).
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