FURTHER REMARKS ON THE RESTRICTED PROBLEM OF THREE BODIES--A NEW PROOF OF A THEOREM OF J. MOSER.
Abstract
In a recent paper (Barrar, 1964), it was shown that the result of R. Arenstorf (1963) on the existence of periodic orbits of the second kind for the restricted problem of three bodies can be very readily obtained with the use of Delaunay or Poincare variables. In the present paper it will be shown that the results of J. Moser (1953) can also be more readily obtained with the use of Poincare variables. Moser, dealing with the restricted problem of three bodies, demonstrated the existence of periodic solutions that close after many revolutions and are near periodic solutions of the first kind. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 13, 1964
- Accession Number
- AD0610048
Entities
People
- Richard B. Barrar
Organizations
- System Development Corporation