Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters

doi:10.1088/1674-1056/20/2/020403

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20403-020403.doi: 10.1088/1674-1056/20/2/020403

Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters

宫衍香, 吴晓梅

College of Physics and Electronic Engineering, Taishan University, Tai'an 271021, China

收稿日期:2010-04-16 修回日期:2010-10-19 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10674099), the National Science Foundation for Young Scientists of China (Grant No. 10925313), and the Shandong Provincial Natural Science Foundation, China (Grant No. ZR2010AQ023).

Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters

Gong Yan-Xiang(宫衍香)^† and Wu Xiao-Mei(吴晓梅)

College of Physics and Electronic Engineering, Taishan University, Tai'an 271021, China

Received:2010-04-16 Revised:2010-10-19 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10674099), the National Science Foundation for Young Scientists of China (Grant No. 10925313), and the Shandong Provincial Natural Science Foundation, China (Grant No. ZR2010AQ023).

摘要/Abstract

摘要： The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian (PPN) order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.

Abstract: The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian (PPN) order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.

Key words: post-Newtonian approximation, deflection of light ray, multiple systems, parameterized metric

中图分类号: (Post-Newtonian approximation; perturbation theory; related Approximations)

04.25.Nx

04.30.Nk (Wave propagation and interactions) 95.45.+i (Observatories and site testing) 04.80.Cc (Experimental tests of gravitational theories)

宫衍香, 吴晓梅. Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters[J]. 中国物理B, 2011, 20(2): 20403-020403.

Gong Yan-Xiang(宫衍香) and Wu Xiao-Mei(吴晓梅) . Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters[J]. Chin. Phys. B, 2011, 20(2): 20403-020403.

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Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters

Post-post-Newtonian deflection of light ray in multiple systems with PPN parameters

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