A new numerical evaluation of the Newtonian component of Mercury’s
perihelion advance over more than two centuries starting from about the year
2000 is made. Results are given for about the last 30 years of this interval.
Comparison with perturbation theory calculation results indicates necessity of
revision of previously held estimates of this quantity.
Cite this paper
Roy, R. (2014). A Comparative Study of the Advance of the Newtonian Component of Mercury’s Perihelion by Numerical Analysis and Perturbation Theory. Open Access Library Journal, 1, e958. doi: http://dx.doi.org/10.4236/oalib.1100958.
Arminjon, M. (2004) A Numerical Solution of the Inverse Problem in Classical Celestial Mechanics, with Application to Mercury’s Motion. Meccanica, 39, 17-29. http://dx.doi.org/10.1023/A:1026264517370
Le Guyader, C. (1993) Solution of the N-Body Problem Expanded into Taylor Series of High Orders. Applications to the Solar System over Large Time Range. Astronomy & Astrophysics, 272, 687-694.