Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit

Details Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit

2009-11-10

arxiv.org/abs/0911.1890v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 tables

Scientific paper

Kinematics in Finsler space is investigated. It is showed that the result based on the kinematics with a special Finsler structure is in good agreement with the reported value of secular trend in the astronomical unit, $d{\rm AU}/dt=15\pm4[{\rm m/century}]$. The space deformation parameter $\lambda$ in this special structure is very small with scale of $10^{-6}$ and should be a constant. This fact is consistent with the reported value of an anomalous secular eccentricity variation of the Moon's orbit.

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