# Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit - General Relativity and Quantum Cosmology

Abstract: Kinematics in Finsler space is investigated. It is showed that the resultbased on the kinematics with a special Finsler structure is in good agreementwith the reported value of secular trend in the astronomical unit, $d{ mAU}-dt=15\pm4{ m m-century}$. The space deformation parameter $\lambda$ inthis special structure is very small with scale of $10^{-6}$ and should be aconstant. This fact is consistent with the reported value of an anomaloussecular eccentricity variation of the Moon-s orbit.

Author: X. Li, Z. Chang

Source: https://arxiv.org/