Abstract
Perturbation methods are employed to calculate time variation in the orbital elements of a compact binary system. It turns out that the semi-major axis and eccentricity exhibit only periodic variations. The longitude of periastron and mean longitude of epoch exhibit both secular and periodic variation. In addition, the relativistic effects on the time of periastron passage of binary stars are also given. Four compact binary systems (PSRJ0737-3039, PSR1913+16, PSR1543+12 and M33X-7) are considered. Numerical results for both secular and periodic effects are presented, and the possibility of observing them is discussed.
Highlights
In the wake of unceasing development in the post-Newtonian celestial mechanics, at present, the research on the post-Newtonian effects has been exhibited gradually due to the fact that the degree of accuracy of astronomical observation improves unceasingly
The largest post-Newtonian effects have been exhibited in the orbits of binary systems, especially in the compact binary systems
This paper presents the post-Newtonian effect on all orbital elements of the compact binary stars on the theoretical aspect
Summary
In the wake of unceasing development in the post-Newtonian celestial mechanics, at present, the research on the post-Newtonian effects has been exhibited gradually due to the fact that the degree of accuracy of astronomical observation improves unceasingly. Burgay et al (2003) [15], Konacki (2003) [16], Kramer et al (2005) [17], and Weisberg & Taylor (2005) [18] researched the post-Newtonian effect for the periastron shift of compact binary stars (PSRJ0737-3039, PSR1913+16 PSR1543+12) from observation. These researches are very interested in the theoretical and observing aspects.
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