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has been cited by the following article:

• TITLE: Dynamic Problems of the Planets and Asteroids, and Their Discussion

  AUTHORS: Joseph J. Smulsky, Yaroslav J. Smulsky

  KEYWORDS: Dynamics; Planets; Asteroids; Satellites; Stability; Discussion

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.2 No.3, September 28, 2012

  ABSTRACT: The problems of dynamics of celestial bodies are considered which in the literature are explained by instability and randomness of movements. The dynamics of planets orbits on an interval 100 million years was investigated by new numerical method and its stability is established. The same method is used for computing movements of two asteroids Apophis and 1950DA. The evolution of their movement on an interval of 1000 is investigated. The moments of their closest passages at the Earth are defined. The different ways of transformation of asteroids trajectories into orbits of the Earth’s satellites are considered. The problems of interest are discussed from the different points of view.