Higher-order corrections to the relativistic perihelion advance and the mass of binary pulsars
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We study the general relativistic orbital equation and using a straightforward perturbation method and a mathematical device first introduced by d’Alembert, we work out approximate expressions of a bound planetary orbit in the form of trigonometrical polynomials and the first three terms of the power series development of the perihelion advance. The results are applied to a more precise determination of the total mass of the double pulsar J0737-3039.
💡 Research Summary
The paper revisits the relativistic orbital equation derived from the Schwarzschild metric and develops a systematic perturbative solution that goes beyond the usual first‑post‑Newtonian (1PN) treatment of perihelion advance. Starting from
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