{"title":"平均法在微倾斜轨道卫星洛伦兹稳定问题中的应用","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":"{\"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}","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}
On the Application of the Averaging Method in the Problem of Lorentz Stabilization of a Satellite on a Slightly Inclined Orbit
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.