Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-09-18
AIP Conf. Proc. Volume 1241, pp. 935-944, June 23, 2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTex2e, 10 pages, no tables, 8 figures. Submitted to the AIP Proceedings of the Invisible Universe International Conference,
Scientific paper
10.1063/1.3462737
We looked at the orbital motions of test particles according to the External Field Effect (EFE) predicted by the MOdified Newtonian Dynamics (MOND) in the Oort cloud which falls in the deep MONDian regime (r\approx 50-150 kAU). Concerning the interpolating function \mu(x), we extensively used the forms \mu_1=1/(1+x),\mu_2=x/(1+x^2)^1/2,\mu_3/2=x/(1+x^3/2)^2/3. We integrated both the MOND and the Newtonian equations of motion in Cartesian coordinates sharing the same initial conditions. We considered both ecliptic and nearly polar trajectories, all with high eccentricities (e>0.1). In order to evaluate the characteristic MOND parameters \mu_g and L_g entering the problem, we used two different values (V=220 km s^-1 and V=254 km s^-1) of the circular speed of the solar system's motion through the Galaxy; $V$ allows to evaluate the Milky Way's gravitational field at the Sun's location. It turns out that EFE induces strong distortions of the Newtonian ellipses, especially in the ecliptic plane yielding more involved paths which span less extended spatial regions.
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