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

  • Kinematics in Finsler space is investigated. It is shown that the result based on the kinematics with a special Finsler structure is in good agreement with the reported value of the secular trend in the astronomical unit, dAU/dt=15±4[m/century]. The space deformation parameter λ in this special structure is very small, with a scale of 10-6, and should be a constant. This is consistent with the reported value of an anomalous secular eccentricity variation of the Moon's orbit.
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LI Xin and CHANG Zhe. Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit[J]. Chinese Physics C, 2011, 35(10): 914-919. doi: 10.1088/1674-1137/35/10/005
LI Xin and CHANG Zhe. Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit[J]. Chinese Physics C, 2011, 35(10): 914-919.  doi: 10.1088/1674-1137/35/10/005 shu
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Received: 2011-02-21
Revised: 2011-03-16
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Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit

Abstract: Kinematics in Finsler space is investigated. It is shown that the result based on the kinematics with a special Finsler structure is in good agreement with the reported value of the secular trend in the astronomical unit, dAU/dt=15±4[m/century]. The space deformation parameter λ in this special structure is very small, with a scale of 10-6, and should be a constant. This is consistent with the reported value of an anomalous secular eccentricity variation of the Moon's orbit.

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