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Orbital corrections by a single-input impulsive control applied along the geomagnetic field
Authors:Michael Ovchinnikov  Georgi V Smirnov  Irina Zaramenskikh  
Institution:aKeldysh Institute for Applied Mathematics, Miusskaya pl. 4, 125047 Moscow, Russia;bCentro de Matemática da Universidade do Porto, Departamento de Matemática Aplicada, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal;cDepartment of Theoretical Mechanics, Moscow Institute of Physics and Technology, Institutskii per. 9, 141700 Dolgoprudny, Moscow Region, Russia
Abstract:This paper examines the possibility of regular orbital corrections for a satellite controlled by an impulsive force applied along the induction vector of the local geomagnetic field. The main purpose of the correcting considered in the paper is to eliminate the drift in secular variation of the relative orbital parameters over the orbital period. The obtained results are applied to the formation flying problem. The developed method is tested using numerical simulation.
Keywords:Formation flying  Impulsive control  Hill's equations  color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V1N-4WBR6CN-3&_mathId=mml8&_user=10&_cdi=5679&_rdoc=32&_acct=C000053510&_version=1&_userid=1524097&md5=c30c99eab1ea83209dacd2e8b01e10ae" title="Click to view the MathML source"  J2 perturbation" target="_blank">alt="Click to view the MathML source">J2 perturbation  Secular drift
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