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Chin. Phys. B, 2020, Vol. 29(10): 109501    DOI: 10.1088/1674-1056/ab9f24
GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS Prev  

Gravitation induced shrinkage of Mercury’s orbit

Moxian Qian(钱莫闲), Xibin Li(李喜彬), and Yongjun Cao(曹永军)†
1 College of physics and electronic information, Inner Mongolia Normal University, Hohhot 010022, China
Abstract  

In general relativity, Mercury’s orbit becomes approximately elliptical and the its perihelion has thus an additional advance. We demonstrate, meanwhile, that in comparison of those given by Newton’s theory of gravitation for the orbit of the Mercury, the circumference and the area are reduced by 40.39 km and 2.35 × 109 km2, respectively, besides the major-axis contraction pointed out recently, and all are produced by the curved space within Einstein's theory of gravitation. Since the resolution power of present astronomical distance measurement technology reaches one kilometer, the shrinkage of Mercury’s orbit can then be observable.

Keywords:  Mercury’s orbit      gravitational field      general relativity  
Received:  05 March 2020      Revised:  03 June 2020      Published:  05 October 2020
PACS:  96.30.Dz (Mercury)  
  95.30.Sf (Relativity and gravitation)  
  04.20.-q (Classical general relativity)  
Corresponding Authors:  Corresponding author. E-mail: phyjcao@imnu.edu.cn   
About author: 
†Corresponding author. E-mail: phyjcao@imnu.edu.cn
* Project supported by the Inner Mongolia Natural Science Foundation, China (Grant No. 2018MS0104).

Cite this article: 

Moxian Qian(钱莫闲), Xibin Li(李喜彬), and Yongjun Cao(曹永军)† Gravitation induced shrinkage of Mercury’s orbit 2020 Chin. Phys. B 29 109501

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