Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force

doi:10.1007/s10483-015-1936-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (5): 609-618.doi: https://doi.org/10.1007/s10483-015-1936-7

Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force

Xu HUANG¹, Ye YAN¹, Yang ZHOU¹, Hua ZHANG²

1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
2. Department of Communication, Beijing Aerospace Control Center, Beijing 100094, China

收稿日期:2014-06-16 修回日期:2014-11-15 出版日期:2015-05-01 发布日期:2015-05-01
通讯作者: Xu HUANG E-mail:xunudt@126.com
基金资助:
Project supported by the Fund of Innovation by Graduate School of National University of Defense Technology (No. B140106)

Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force

Xu HUANG¹, Ye YAN¹, Yang ZHOU¹, Hua ZHANG²

1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
2. Department of Communication, Beijing Aerospace Control Center, Beijing 100094, China

Received:2014-06-16 Revised:2014-11-15 Online:2015-05-01 Published:2015-05-01
Contact: Xu HUANG E-mail:xunudt@126.com
Supported by:
Project supported by the Fund of Innovation by Graduate School of National University of Defense Technology (No. B140106)

摘要/Abstract

摘要： A charged spacecraft is subject to the Lorentz force when it orbits a central body with a magnetic field. The induced Lorentz force provides a new mean of propellantless electromagnetic propulsion for orbital control. Modeling the Earth magnetic field as a tilted dipole that co-rotates with the Earth, this paper develops a nonlinear dynamical model that describes the relative motion of the Lorentz spacecraft about an arbitrary reference orbit. Based on the proposed dynamical model, feasibility of Lorentz-propelled rendezvous with no restrictions on the initial states is investigated. The rendezvous problem is then formulated as an optimal control problem, and solved with the Gauss pseudospectral method (GPM). Numerical simulations substantiate the validity of proposed model and method, and results show that the propellantless rendezvous is achieved at both fixed and free final time.

关键词: pseudospectral method, Lorentz force, rendezvous, charged spacecraft, trajectory optimization

Abstract: A charged spacecraft is subject to the Lorentz force when it orbits a central body with a magnetic field. The induced Lorentz force provides a new mean of propellantless electromagnetic propulsion for orbital control. Modeling the Earth magnetic field as a tilted dipole that co-rotates with the Earth, this paper develops a nonlinear dynamical model that describes the relative motion of the Lorentz spacecraft about an arbitrary reference orbit. Based on the proposed dynamical model, feasibility of Lorentz-propelled rendezvous with no restrictions on the initial states is investigated. The rendezvous problem is then formulated as an optimal control problem, and solved with the Gauss pseudospectral method (GPM). Numerical simulations substantiate the validity of proposed model and method, and results show that the propellantless rendezvous is achieved at both fixed and free final time.

Key words: trajectory optimization, Lorentz force, pseudospectral method, rendezvous, charged spacecraft

中图分类号:

V412.4

Xu HUANG, Ye YAN, Yang ZHOU, Hua ZHANG. Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 609-618.

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Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force

Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force

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