contributor author | Carl Glen Henshaw | |
contributor author | Robert M. Sanner | |
date accessioned | 2017-05-08T21:33:37Z | |
date available | 2017-05-08T21:33:37Z | |
date copyright | July 2010 | |
date issued | 2010 | |
identifier other | %28asce%29as%2E1943-5525%2E0000019.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/56157 | |
description abstract | This paper describes a spacecraft trajectory planning algorithm based on the calculus of variations which can solve 6-degree-of-freedom spacecraft docking and proximity operations problems. The design of a cost functional which trades off fuel use, obstacle clearance distance, and arrival time is discussed. The nonlinear orbital dynamic equations are treated as dynamic constraints. The Euler-Lagrange equations for this functional are derived, as is the Pontryagin criteria for the optimal control input given realistic saturating on-off thrusters. The indirect collocation method is chosen to solve the attendant boundary-value problem for its lack of sensitivity to initial conditions; continuation is used to further improve the algorithm’s robustness. The manipulation of the Euler-Lagrange equations and the transversality condition into a form suitable for use with existing collocation codes is discussed. Results are shown for an end-to-end docking maneuver with a tumbling satellite. | |
publisher | American Society of Civil Engineers | |
title | Variational Technique for Spacecraft Trajectory Planning | |
type | Journal Paper | |
journal volume | 23 | |
journal issue | 3 | |
journal title | Journal of Aerospace Engineering | |
identifier doi | 10.1061/(ASCE)AS.1943-5525.0000019 | |
tree | Journal of Aerospace Engineering:;2010:;Volume ( 023 ):;issue: 003 | |
contenttype | Fulltext | |