{"title":"Low-Thrust Trajectory Optimization in Kustaanheimo–Stiefel Variables","authors":"K. R. Korneev, S. P. Trofimov","doi":"10.1134/s0010952524600288","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The regularization of spacecraft motion equations by the Kustaanheimo–Stiefel transformation for coordinates and Sundman’s transformation for time is considered in the problem of low-thrust optimal transfer. From Pontryagin’s maximum principle, the thrust vector optimal control is derived under the limited power condition. The Earth–Mars transfer problem is solved in regular variables. The comparison of calculated trajectories with the ones obtained by the parameter continuation method is performed, and the stability properties of the two-point boundary value problem in the Cartesian and regular variables are studied.</p>","PeriodicalId":56319,"journal":{"name":"Cosmic Research","volume":"93 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cosmic Research","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s0010952524600288","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
The regularization of spacecraft motion equations by the Kustaanheimo–Stiefel transformation for coordinates and Sundman’s transformation for time is considered in the problem of low-thrust optimal transfer. From Pontryagin’s maximum principle, the thrust vector optimal control is derived under the limited power condition. The Earth–Mars transfer problem is solved in regular variables. The comparison of calculated trajectories with the ones obtained by the parameter continuation method is performed, and the stability properties of the two-point boundary value problem in the Cartesian and regular variables are studied.
期刊介绍：
Cosmic Research publishes scientific papers covering all subjects of space science and technology, including the following: ballistics, flight dynamics of the Earth’s artificial satellites and automatic interplanetary stations; problems of transatmospheric descent; design and structure of spacecraft and scientific research instrumentation; life support systems and radiation safety of manned spacecrafts; exploration of the Earth from Space; exploration of near space; exploration of the Sun, planets, secondary planets, and interplanetary medium; exploration of stars, nebulae, interstellar medium, galaxies, and quasars from spacecraft; and various astrophysical problems related to space exploration. A chronicle of scientific events and other notices concerning the main topics of the journal are also presented.
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