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Orbital Motion

  • Toshimichi Otsubo,
  • Toshio Fukushima

摘要

We focus on the orbital motion of celestial bodies by regarding them as mass points. First, we show the solution of the two-body problem. Next, we define the orbital elements as six constants of the two-body problem. Then, we describe the solution of Kepler equations for elliptic, parabolic, and hyperbolic orbits. Also, we extend the problem into a more practical case: the perturbed two-body problem. Finally, we discuss the three-body problem and show its special solutions.