Gravitational two-body problem with arbitrary masses, spins, and quadrupole moments

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We find the precession of the spin and the precession of the orbit for the two-body problem in general relativity with arbitrary masses, spins, and quadrupole moments. One notable result which emerges is that, in the case of arbitrary masses m1 and m2, the spin-orbit contribution to the spin precession of body 1 is a factor (m2+μ3)(m1+m2) times what it would be for a test body moving in the field of a fixed central mass (m1+m2). Here μ denotes the reduced mass m1m2(m1+m2). This contrasts with the result of Robertson for the periastron precession where the corresponding factor is unity. These results may be of interest for binary neutron stars and, in particular, for binary pulsars such as PSR 1913+16. © 1975 The American Physical Society.

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Physical Review D

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