Reduction of the two-dimensional elliptic restricted problem of three bodies to Hill's Equation .
Abstract
The differential equations of motion of the two-dimensional elliptic restricted problem are investigated. It is shown that a formal solution in the form of a power series of the eccentricity can be constructed by solving Hill's Equation for a given periodic solution of the circular problem.
- Publication:
-
The Astronomical Journal
- Pub Date:
- May 1974
- DOI:
- 10.1086/111592
- Bibcode:
- 1974AJ.....79..653E