Loading...
Please wait, while we are loading the content...
Similar Documents
Stationkeeping on unstable orbits: Generalization to the elliptic restricted three-body problem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gurfil, Pini Meltzer, Dani |
| Copyright Year | 2006 |
| Abstract | We develop new methods for generating periodic orbits about the collinear libration points and for stabilizing motion on libration orbits using the general formalism of the elliptic restricted three-body problem (ER3BP). Calculation of periodic orbits is accomplished by formulating the ER3BP as a control problem. This approach yields halo-like orbits that do not exist without applying active control, having arbitrarily small amplitudes. Linearization about the libration points in pulsating coordinates yields an unstable linear parameter-varying (LPV) system with periodic coefficients. We introduce a continuous acceleration control term into the state-space dynamics and use an LPV-generalized version of the pole-assignment technique to find linear periodic reference trajectories. The nonlinear terms of the equations of motion are then treated as periodic disturbances. A disturbance-accommodating control is used to track the libration-point reference orbit in the presence of nonlinear periodic disturbances. Simulation experiments show that stationkeeping is robust to propulsive dispersions. |
| Starting Page | 29 |
| Ending Page | 51 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF03256475 |
| Volume Number | 54 |
| Alternate Webpage(s) | http://dssl.technion.ac.il/DSSL//userdata/SendFile.asp?DBID=1&GID=542&LNGID=1 |
| Alternate Webpage(s) | https://doi.org/10.1007/BF03256475 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
