The Restricted Problem

  • Victor Szebehely
Part of the International Centre for Mechanical Sciences book series (CISM, volume 170)


In the restricted circular planar problem of three bodies, two bodies (assumed to be point masses and calles primaries) revolve around their center of mass in circular orbits under the influence of their mutual gravitational attraction. A third body (attracted by the previous two but not influencing their motion) moves in the plane defined by the two revolving bodies. The problem is to determine the motion of this third body, (Szebehely, 1967).


Periodic Orbit Zero Velocity Restrict Problem Jacobian Constant Lagrangean Solution 
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Copyright information

© Springer-Verlag Wien 1974

Authors and Affiliations

  • Victor Szebehely
    • 1
  1. 1.University of TexasAustinUSA

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