{"title":"On the Application of the Averaging Method in the Problem of Lorentz Stabilization of a Satellite on a Slightly Inclined Orbit","authors":"A. Aleksandrov, A. Tikhonov","doi":"10.1109/STAB49150.2020.9140567","DOIUrl":null,"url":null,"abstract":"The problem of Lorentz stabilization of a satellite in the orbital coordinate system on an orbit of small inclination under conditions of a disturbing gravitational torque is studied. To solve this problem, which is characterized by incomplete control, the averaging technique for differential equations is developed. An original construction of a Lyapunov function is used.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"48 3-4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140567","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The problem of Lorentz stabilization of a satellite in the orbital coordinate system on an orbit of small inclination under conditions of a disturbing gravitational torque is studied. To solve this problem, which is characterized by incomplete control, the averaging technique for differential equations is developed. An original construction of a Lyapunov function is used.