Lower bounds of characteristic scale of topological modification of the Newtonian gravitation

Details Lower bounds of characteristic scale of topological modification of the Newtonian gravitation Lower bounds of characteristic scale of topological modification of the Newtonian gravitation

2012-03-03

arxiv.org/abs/1203.0675v2

Int. J. Mod. Phys.D 21:1250048,2012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 6 pages, no tables, 1 figure, 3 references. Accepted for publication in International Journal of Modern Physics D (IJMP

Scientific paper

10.1142/S0218271812500484

We analytically work out the long-term orbital perturbations induced by the first term of the expansion of the perturbing potential arising from the local modification of the Newton's inverse square law due to a topology R^2 x S^1 with a compactified dimension of radius R recently proposed by Floratos and Leontaris. We neither restrict to any specific spatial direction for the asymmetry axis nor to particular orbital configurations of the test particle. Thus, our results are quite general. Non-vanishing long-term variations occur for all the usual osculating Keplerian orbital elements, apart from the semimajor axis which is left unaffected. By using recent improvements in the determination of the orbital motion of Saturn from Cassini data, we preliminarily inferred R >= 4-6 kau. As a complementary approach, the putative topological effects should be explicitly modeled and solved-for with a modified version of the ephemerides dynamical models with which the same data sets should be reprocessed.

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