TY - JOUR
T1 - Optimal single impulse maneuver for spacecraft cluster flight
AU - Wang, Wei
AU - Yuan, Jianping
AU - Luo, Jianjun
N1 - Publisher Copyright:
©, 2015, Editorial Office of Chinese Journal of Theoretical and Applied Mechanics. All right reserved.
PY - 2015/9/18
Y1 - 2015/9/18
N2 - The optimal single-impulse maneuver for spacecraft cluster flight is studied in this paper. Based on Gauss' variational equations, the optimal conditions and solutions for time-fixed and time-unfixed case are provided via the periodic condition of nonlinear relative motion. For the time-fixed case, the problem is also treated from the perspective of energy matching condition. In this case, the problem is transformed into seeking for the extremum of a quadratic equation or the solution of a single-root algebraic equation, and the optimal semimajor axis is derived, as well as the optimal velocity impulse. For the time-unfixed case, the problem can be solved by numerical algorithms or transformed into pursuing for the solution of a multi-root algebraic equation with the aid of Fourier-Bessel functions. In the end, the proposed method is validated by several carried out illustrating examples.
AB - The optimal single-impulse maneuver for spacecraft cluster flight is studied in this paper. Based on Gauss' variational equations, the optimal conditions and solutions for time-fixed and time-unfixed case are provided via the periodic condition of nonlinear relative motion. For the time-fixed case, the problem is also treated from the perspective of energy matching condition. In this case, the problem is transformed into seeking for the extremum of a quadratic equation or the solution of a single-root algebraic equation, and the optimal semimajor axis is derived, as well as the optimal velocity impulse. For the time-unfixed case, the problem can be solved by numerical algorithms or transformed into pursuing for the solution of a multi-root algebraic equation with the aid of Fourier-Bessel functions. In the end, the proposed method is validated by several carried out illustrating examples.
KW - Cluster flight
KW - Periodic condition
KW - Single impulse maneuver
KW - Spacecraft relative motion
UR - http://www.scopus.com/inward/record.url?scp=84944525497&partnerID=8YFLogxK
U2 - 10.6052/0459-1879-14-386
DO - 10.6052/0459-1879-14-386
M3 - 文章
AN - SCOPUS:84944525497
SN - 0459-1879
VL - 47
SP - 799
EP - 806
JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
IS - 5
ER -