Advances in Astrophysics

Download PDF (747.2 KB) PP. 96 - 109 Pub. Date: August 1, 2019

DOI: 10.22606/adap.2019.43003

• L.Barbieri
  DIMAI Department of Mathematics and Informatics, University of Florence, Italy
• F. Talamucci^*
  DIMAI Department of Mathematics and Informatics, University of Florence, Italy

The calculus of apsidal precession frequencies of the planets is developed by means of a perturbation technique. A model of concentric rings (ring model), suitable for improving calculations, is introduced. Conclusive remarks concerning a comparison between the theoretical, the calculated and the observed data of the precession frequencies are performed.

Orbital Mechanics, apsidal precession frequencies, ring model

[1] H. Pollard, Mathematical introduction to celestial mechanics, Prentice Hall mathematics series, Ed. Englewood Cliffs, N. J. , Prentice–Hall, 1966.

[2] K. H. Lo, K. Young K and B. Y. P. Lee, “Advance of perihelion”, American Journal of Physics vol. 81, no. 9, pp. 695–702, 2013.

[3] M. G. Stewart, “Precession of the perihelion of Mercury’s orbit”, American Journal of Physics vol. 73 no. 8, pp. 730–734, 2005.

[4] Physics MathPages Newtonian Precession of Mercury’s Perihelion. Available: http://www.mathpages.com/home/kmath280/kmath280.htm

[5] R. Fitzpatrick, “An Introduction to Celestial Mechanics”, Lecture Notes, 2013. Available: http://farside.ph.utexas.edu/teaching./celestial/Celestial.html.

[6] R. A. Freedman, R. M. Geller, W. J. Kaufmann III, Universe, W. H. Freeman and Company, New York, 2011.

[7] Park R. S. , Folkner W. M. , Konopliv A. S. , Williams J. G. , Smith D. E. , Zuber M. T. , “Precession of Mercury’s Perihelion from Ranging to the MESSENGER Spacecraft”, The Astronomical Journal vol. 153 no. 3, pp. 121–128, 2017.