By Ye Yan, Xu Huang, Yueneng Yang
This publication develops a dynamical version of the orbital movement of Lorentz spacecraft in either unperturbed and J2-perturbed environments. It explicitly discusses 3 forms of usual area missions regarding 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 by means of the geomagnetic Lorentz strength. those regulate schemes are solely novel and signify a considerably departure from prior approaches.
Read Online or Download Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion PDF
Best dynamics books
Offers the more moderen box of chaos in nonlinear dynamics as a normal extension of classical mechanics as taken care of by means of differential equations. Employs Hamiltonian structures because the hyperlink among classical and nonlinear dynamics, emphasizing the concept that of integrability. additionally discusses nonintegrable dynamics, the basic KAM theorem, integrable partial differential equations, and soliton dynamics.
In the DFG -Schwerpunktprogramm "Stromungssimulation mit Hochleistungsrechnern" and in the actions of the French-German cooperation of CNRS and DFG a DFG symposium on "Computational Fluid Dynamics (CFD) on Parallel platforms" used to be geared up on the Institut fur Aerodynamik and Gasdynamik of the Stuttgart collage, 9-10 December 1993.
Christopher M. Cheatum and Amnon Kohen, dating of Femtosecond–Picosecond Dynamics to Enzyme-Catalyzed H-Transfer. Cindy Schulenburg and Donald Hilvert, Protein Conformational disease and Enzyme Catalysis. A. Joshua Wand, Veronica R. Moorman and Kyle W. Harpole, a stunning function for Conformational Entropy in Protein functionality.
Lately, a lot development has been made within the figuring out of interface dynamics of varied structures: hydrodynamics, crystal development, chemical reactions, and combustion. Dynamics of Curved Fronts is a crucial contribution to this box and should be an critical reference paintings for researchers and graduate scholars in physics, utilized arithmetic, and chemical engineering.
- Temporal Dynamics of an Estuary: San Francisco Bay
- Nonlinear Waves: Dynamics and Evolution
- Speech Motor Dynamics in Stuttering
- Molecular dynamics and relaxation phenomena in glasses
Additional info for Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion
33) yields the nonlinear equations of relative orbital motion of Lorentz spacecraft expressed in the LVLH frame, given by €x ¼ 2u_ T y_ þ u_ 2T x þ €uT y þ n2T RT À n2L ðRT þ xÞ þ ax þ aR ð2:34Þ €y ¼ À2u_ T x_ þ u_ 2T y À €uT x À n2L y þ ay þ aS €z ¼ Àn2L z þ az þ aW pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ where nT ¼ l=R3T and nL ¼ l=R3L . RL ¼ ½ðRT þ xÞ2 þ y2 þ z2 1=2 is the orbital radius of Lorentz spacecraft. , jjqjj ( RL ; RT ), the above nonlinear equations can be further linearized. À3=2 %1À 3x RT ð2:35Þ By substituting Eq.
1], Copyright 2014, with permission from SAGE The orbital radius vector of the Lorentz spacecraft and the target spacecraft are, respectively, RL ¼ ½ RT þ x y z T and RT ¼ ½ RT 0 0 T . Then, the relative position vector between these two spacecraft is q ¼ RL À RT ¼ ½ x y z T . 1 State Equation of Relative Translational Motion The relative translational dynamics of Lorentz spacecraft has been detailedly discussed in Sect. 2. The equations of relative translational motion are given by €x ¼ 2u_ T y_ þ u_ 2T x þ €uT y þ n2T RT À n2L ðRT þ xÞ þ ax €y ¼ À2u_ T x_ þ u_ 2T y À €uT x À n2L y þ ay €z ¼ ð3:1Þ Àn2L z þ az pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ where nT ¼ l=R3T and nL ¼ l=R3L .
OL XBL YBL ZBL is the body frame of the Lorentz spacecraft, of which the axes are aligned with principle axes of inertial. m. of the Lorentz spacecraft. Furthermore, it is assumed that the target’s body frame is coincided with the LVLH frame. © Springer Science+Business Media Singapore 2017 Y. 1007/978-981-10-2603-4_3 35 36 3 Relative Navigation of Lorentz-Augmented Orbital Motion Fig. 1 Deﬁnitions of coordinate frames. Reprinted from Ref. , Copyright 2014, with permission from SAGE The orbital radius vector of the Lorentz spacecraft and the target spacecraft are, respectively, RL ¼ ½ RT þ x y z T and RT ¼ ½ RT 0 0 T .
Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion by Ye Yan, Xu Huang, Yueneng Yang