Abstract
In a three body system when the mass parameter is approximated to be zero the problem is treated as a two body problem in a rotating coordinate system. Yet, the Jacobi integral equation is still applicable and different values of the Jacobi constant determine boundaries within which repeating orbits exist around the larger primary. It is proven that cusps in these orbits are formulated when a third body touches a corresponding zero velocity curve. Characteristics of direct and retrograde repeating orbits are analyzed. Conditions under which loops in the repeating orbits exist are discussed.
| Original language | English |
|---|---|
| Title of host publication | Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences |
| Subtitle of host publication | Proceedings of the AAS/AIAA Space Flight Mechanics Meeting |
| Pages | 1297-1315 |
| Number of pages | 19 |
| State | Published - 2010 |
| Externally published | Yes |
Publication series
| Name | Advances in the Astronautical Sciences |
|---|---|
| Volume | 136 |
| ISSN (Print) | 0065-3438 |
ASJC Scopus subject areas
- Aerospace Engineering
- Space and Planetary Science
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