By Ye Yan, Xu Huang, Yueneng Yang
This e-book develops a dynamical version of the orbital movement of Lorentz spacecraft in either unperturbed and J2-perturbed environments. It explicitly discusses 3 types of regular area missions concerning relative orbital keep watch over: spacecraft soaring, rendezvous, and formation flying. thus, it places ahead designs for either open-loop and closed-loop keep watch over schemes propelled or augmented through the geomagnetic Lorentz strength. those keep an eye on schemes are totally novel and signify a considerably departure from past approaches.
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Additional resources for Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion
The relative dynamics between spacecraft is described in a local-vertical-local-horizontal (LVLH) frame, denoted by OT xyz, where x axis is along the radial direction of the target, z axis is aligned with the normal direction of the target’s orbital plane, and y axis completes the right-handed Cartesian frame. ) of the target and Lorentz spacecraft, respectively. Deﬁne the position vector of the Lorentz spacecraft with respect to the target as q ¼ RL À RT ¼ ½ x y z T , where RT ¼ ½ RT 0 0 T and RL ¼ T ½ RT þ x y z are, respectively, the orbital radius of the target and Lorentz spacecraft.
All models in this chapter explicitly incorporate the dipole tilt angle, and approximate analytical solutions are derived for Lorentz-augmented spacecraft relative motion about circular inclined LEOs. 3 Conclusions 33 magnetic ﬁeld, the newly derived analytical solutions present enhanced accuracy than previous nontilted one. Notably, numerical simulation results indicate that J2 perturbation, one of the most dominant disturbances in LEOs, should be taken into account when analyzing the long-term Lorentz-augmented relative orbital motion.
Proc Inst Mech Eng Part G J Aerosp Eng 228:2138–2154. 1177/0954410013511426 11. Huang X, Yan Y, Zhou Y et al (2015) Nonlinear relative dynamics of Lorentz spacecraft about J2-perturbed orbit. Proc Inst Mech Eng Part G J Aerosp Eng 229:467–478. 1177/ 0954410014537231 Chapter 3 Relative Navigation of Lorentz-Augmented Orbital Motion The Lorentz acceleration acting on the Lorentz spacecraft is determined by the local magnetic ﬁeld and the vehicle’s velocity with respect to the local magnetic ﬁeld.