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

LI Xin; CHANG Zhe

doi:10.1088/1674-1137/35/10/005

Chinese Physics C> 2011, Vol. 35> Issue(10) : 914-919 DOI: 10.1088/1674-1137/35/10/005

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

LI Xin ,
CHANG Zhe

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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.

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2011-02-21

Accepted Date: 2011-03-16

Available Online: 2011-10-05

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

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