Symplectic Maps for the N-body Problem with Applications to Solar System Dynamics

  title={Symplectic Maps for the N-body Problem with Applications to Solar System Dynamics},
  author={Thomas Jordan},
The mapping method of Wisdom (1982) is generalized to encompass all gravitational n-body problems with a dominant central mass. The method is used to compute the evolution of the outer planets for a billion years, providing independent numerical confirmation of the result of Sussman and Wisdom (1988) that the motion of the planet Pluto is chaotic. The stability of the symplectic mapping method for the n-body problem introduced recently by Wisdom and Holman (1991) is analysed in a novel… CONTINUE READING
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