The Second Post-Newtonian Motion in Schwarzschild Spacetime

被引：5
作者：
Yang, Bo [1 ]
Lin, Wenbin [1 ,2 ]
机构：
[1] Southwest Jiaotong Univ, Sch Phys Sci & Technol, Chengdu 610031, Peoples R China
[2] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China
来源：
GRAVITATION & COSMOLOGY | 2020年 / 26卷 / 04期
基金：
中国国家自然科学基金;
关键词：
GRAVITATIONAL-RADIATION; PULSAR; LIGHT; ORDER;
D O I：
10.1134/S0202289320040118
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present the second-order post-Newtonian solution for the quasi-Keplerian motion in the Schwarzschild space-time under the Wagoner-Will-Epstein-Haugan representation. Detailed derivations are provided for readers' convenience.
引用
收藏
页码：373 / 378
页数：6
相关论文
共 28 条
[1]  
ADLER LP, 1991, J NUCL MED, V32, P1508
[2]   Solving post-Newtonian accurate Kepler equation [J].
Boetzel, Yannick ;
Susobhanan, Abhimanyu ;
Gopakumar, Achamveedu ;
Klein, Antoine ;
Jetzer, Philippe .
PHYSICAL REVIEW D, 2017, 96 (04)
[3]  
Brumberg V., 1972, RELATIVISTIC CELESCT
[4]   GRAVITATIONAL-RADIATION REACTION IN THE BINARY PULSAR AND THE QUADRUPOLE-FORMULA CONTROVERSY [J].
DAMOUR, T .
PHYSICAL REVIEW LETTERS, 1983, 51 (12) :1019-1021
[5]   HIGHER-ORDER RELATIVISTIC PERIASTRON ADVANCES AND BINARY PULSARS [J].
DAMOUR, T ;
SCHAFER, G .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1988, 101 (02) :127-176
[6]   LAGRANGIANS FOR N POINT MASSES AT THE 2ND POST-NEWTONIAN APPROXIMATION OF GENERAL-RELATIVITY [J].
DAMOUR, T ;
SCHAFER, G .
GENERAL RELATIVITY AND GRAVITATION, 1985, 17 (09) :879-905
[7]  
Damour T., 1985, PHYS THEOR, V43, P107
[8]   BINARY PULSAR - POST-NEWTONIAN TIMING EFFECTS [J].
EPSTEIN, R .
ASTROPHYSICAL JOURNAL, 1977, 216 (01) :92-100
[9]  
Grishchuk L.P., 1986, P INT ASTRON UNION, V114, P19, DOI [10.1017/S0074180900147941, DOI 10.1017/S0074180900147941]
[10]   POST-NEWTONIAN ARRIVAL-TIME ANALYSIS FOR A PULSAR IN A BINARY-SYSTEM [J].
HAUGAN, MP .
ASTROPHYSICAL JOURNAL, 1985, 296 (01) :1-12
123