{"title":"用三个球的吸引力场逼近接近动态对称体的吸引力场","authors":"A. A. Burov, V. I. Nikonov","doi":"10.1134/S1028335823030023","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we consider the attraction field of a rigid body close to a dynamically symmetric one. The question of how to approximate this attractive field by the attractive field of three homogeneous balls so that the series expansion of the gravitational potential for these fields coincides up to terms of the fifth order of smallness is studied. As an example, the three-ball approximation as applied to asteroid (433) Eros is considered.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"87 - 91"},"PeriodicalIF":0.6000,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation of the Attractive Field of a Body Close to Dynamically Symmetrical Using the Attractive Field of Three Balls\",\"authors\":\"A. A. Burov, V. I. Nikonov\",\"doi\":\"10.1134/S1028335823030023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we consider the attraction field of a rigid body close to a dynamically symmetric one. The question of how to approximate this attractive field by the attractive field of three homogeneous balls so that the series expansion of the gravitational potential for these fields coincides up to terms of the fifth order of smallness is studied. As an example, the three-ball approximation as applied to asteroid (433) Eros is considered.</p>\",\"PeriodicalId\":533,\"journal\":{\"name\":\"Doklady Physics\",\"volume\":\"68 3\",\"pages\":\"87 - 91\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Doklady Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1028335823030023\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1028335823030023","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Approximation of the Attractive Field of a Body Close to Dynamically Symmetrical Using the Attractive Field of Three Balls
In this paper, we consider the attraction field of a rigid body close to a dynamically symmetric one. The question of how to approximate this attractive field by the attractive field of three homogeneous balls so that the series expansion of the gravitational potential for these fields coincides up to terms of the fifth order of smallness is studied. As an example, the three-ball approximation as applied to asteroid (433) Eros is considered.
期刊介绍:
Doklady Physics is a journal that publishes new research in physics of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia in the form of short articles. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.