Table of Contents Author Guidelines Submit a Manuscript
Advances in Astronomy
Volume 2015, Article ID 615029, 7 pages
Research Article

Stability of the Moons Orbits in Solar System in the Restricted Three-Body Problem

Institute for Time Nature Explorations, M.V. Lomonosov’s Moscow State University, Leninskie Gory 1-12, Moscow 119991, Russia

Received 1 April 2015; Revised 3 June 2015; Accepted 4 June 2015

Academic Editor: Elmetwally Elabbasy

Copyright © 2015 Sergey V. Ershkov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer, New York, NY, USA, 1978. View at MathSciNet
  2. J. Lagrange, OEuvres, vol. 6, Gautier-Villars, Paris, France, 1873, edited by M. J. A. Serret.
  3. V. Szebehely, Theory of Orbits. The Restricted Problem of Three Bodies, Yale University, New Haven, Conn, USA; Academic Press, London, UK, 1967.
  4. G. N. Duboshin, “Nebesnaja mehanika. Osnovnye zadachi i metody,” in Handbook for Celestial Mechanics, Nauka, Moscow, Russia, 1968, (Russian). View at Google Scholar
  5. H. Bruns, “Über die integrale des Vielkörper-problems,” Acta Mathematica, vol. 11, no. 1–4, pp. 25–96, 1887. View at Publisher · View at Google Scholar · View at Scopus
  6. Shankaran, J. P. Sharma, and B. Ishwar, “Equilibrium points in the generalised photogravitational non-planar restricted three body problem,” International Journal of Engineering, Science and Technology, vol. 3, no. 2, pp. 63–67, 2011. View at Google Scholar
  7. Y. A. Chernikov, “The photogravitational restricted three-body problem,” Soviet Astronomy, vol. 14, p. 176, 1970. View at Google Scholar
  8. J. Singh and O. Leke, “Stability of the photogravitational restricted three-body problem with variable masses,” Astrophysics and Space Science, vol. 326, no. 2, pp. 305–314, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. S. V. Ershkov, “The Yarkovsky effect in generalized photogravitational 3-body problem,” Planetary and Space Science, vol. 73, no. 1, pp. 221–223, 2012. View at Publisher · View at Google Scholar · View at Scopus
  10. E. Kamke, Hand-Book for ODE, Science, Moscow, Russia, 1971.
  11. S. S. Sheppard, The Giant Planet Satellite and Moon Page, Departament of Terrestrial Magnetism at Carniege Institution for Science, 2015,