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

[1]

Riess A G et al. Astrophys J., 1999, 117: 707; Perlmutter S et al. Astrophys J., 1999, 517: 565; Bennett C L et al. Astrophys J., 2003, 148(Suppl.): 12 Trimble V T. Annu. Rev. Astron. Astrophys., 1987, 25: 4253 Pitjeva E V. Solar System Research, 2005, 39: 1764 Krasinsky G A, Brumberg V A. Celest. Mech. Dyn. Astrn., 2004, 90: 2675 Standish E M. Proc. IAU Colloq., 2005, 196: 1636 Mashhoon B, Mobed N, Singh D. Class. Quant. Grav., 2007, 24: 50317 Arakida H. New Astron., 2009, 14: 2758 Noerdlinger P D. arXiv:astro-ph/0801.38079 Arakida H. arXiv:astro-ph/0810.282710 Miura T et al. arXiv:astro-ph.EP/0905.300811 Anderson J D et al. Phys. Rev. Lett., 1998, 81: 2858; Anderson J D et al. Phys. Rev. D, 2002, 65: 082004; Anderson J D et al. Mod. Phys. Lett. A, 2002, 17: 87512 Roxburgh I W, Tavakol R. Mon. Not. Roy. Acad. Sc., 1975, 170: 59913 Roxburgh I W, Tavakol R K. Gen. Rel. Grav., 1979, 10: 30714 Tavakol R K, van den Bergh N. Phys. Lett. A, 1985, 112: 2315 Tavakol R K, van den Bergh N. Gen. Rel. Grav., 1986, 18: 84916 CHANG Zhe, LI Xin. Phys. Lett. B, 2009, 676: 17317 CHANG Zhe, LI Xin. Phys. Lett. B, 2008, 668: 45318 Randers G. Phys. Rev., 1941, 59: 19519 CHANG Zhe, LI Xin. Phys. Lett. B, 2008, 663: 10320 LI Xin, CHANG Zhe. Phys. Lett. B, 2010, 692: 121 BAO D, Chern S S, SHEN Z. An Introduction to Riemann- Finsler Geometry, Graduate Texts in Mathematics 200, New York: Springer, 200022 BAO D, SHEN Z. Results in Math., 1994, 26: 123 BAO D, Chern S S. Ann. Math., 1996, 143: 23324 Williams J G, Boggs D H. in Proceedings of 16th International Workshop on Laser Ranging ed. S. Schillak, (Space Research Centre, Polish Academy of Sciences), 200925 Anderson J D, Nieto M M. arXiv:gr-qc/0907.246926 Liberati S, Maccione L. arXiv:astro-ph.HE/0906.068127 Girelli F, Liberati S, Sindoni L. Phys. Rev. D, 2007, 75: 06401528 Kostelecky V A. arXiv:gr-qc/0802.058129 Colladay D, Kostelecky V A. Phys. Rev. D, 1997, 55: 6760; Phys. Rev. D, 1998, 58: 11600230 LI Xin, CHANG Zhe, MO Xiao-Huan. arXiv:hep-th/1001.266731 SHEN Z. Lectures on Finsler geometry, Singapore: World Scientific, 2001

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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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