Abstract
Nonlinear reduced order models are obtained for spacecraft relative motion in the case of circular chief orbits. First, a nonlinear third order extension of the CWH equations is obtained and a modal transformation is employed that decouples the linear dynamics. Then two techniques, linear-based order reduction and the methodology of nonlinear normal modes, are employed to obtain nonlinear reduced models corresponding to the three modes of the CWH equations. The resulting nonlinear models extend linear modal analysis of the CWH equations to the nonlinear regime valid for larger separation distances and allow for a geometric characterization of the nonlinear dynamics of relative motion.
| Original language | English (US) |
|---|---|
| Title of host publication | Astrodynamics 2015 |
| Publisher | Univelt Inc. |
| Pages | 3505-3524 |
| Number of pages | 20 |
| Volume | 156 |
| ISBN (Print) | 9780877036296 |
| State | Published - 2016 |
| Event | AAS/AIAA Astrodynamics Specialist Conference, ASC 2015 - Vail, United States Duration: Aug 9 2015 → Aug 13 2015 |
Other
| Other | AAS/AIAA Astrodynamics Specialist Conference, ASC 2015 |
|---|---|
| Country | United States |
| City | Vail |
| Period | 8/9/15 → 8/13/15 |
ASJC Scopus subject areas
- Aerospace Engineering
- Space and Planetary Science
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Cite this
Butcher, E., & Lovell, T. A. (2016). Nonlinear reduced order dynamics of spacecraft relative motion for a circular chief orbit. In Astrodynamics 2015 (Vol. 156, pp. 3505-3524). Univelt Inc..