The periastron advance in the second post-Newtonian approximation in general relativity

Details The periastron advance in the second post-Newtonian approximation in general relativity The periastron advance in the second post-Newtonian approximation in general relativity

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..62..185a&link_type=abstract

Astrophysics and Space Science, vol. 62, no. 1, May 1979, p. 185-188.

Astronomy and Astrophysics

Astrophysics

3

Equations Of Motion, Gravitational Effects, Many Body Problem, Newton Second Law, Perihelions, Relativity, Approximation, Hamiltonian Functions, Light Speed

Scientific paper

An attempt is made to obtain the shift of the perihelion of an orbit of relative motion in the second post-Newtonian approximation. An isolated system of N gravitationally interacting bodies with large distances in comparison with their sizes is considered. Robertson's (1938) formula for the perihelion motion of two comparable masses to the order of c to the -2nd (where c to the -4th is the velocity of light) is improved by including a correction term of the order of c.

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