{"title":"人造卫星微扰的机器推导","authors":"Lin Qin-chang, Huang Tian-yi","doi":"10.1016/0146-6364(80)90040-7","DOIUrl":null,"url":null,"abstract":"<div><p>A non-conservative Lie transformation is used to establish the theory of tesseral perturbation including the cross terms from the zonal harmonic <em>J</em><sub>2</sub> with the tesseral harmonics. The formulae for the perturbations are derived with a computer. The storage of the Poisson series is effected through a one-to-one correspondence between the multi-dimensional index of a term in the series and the store address of the coefficient of that term. Rules for storing some typical series in celestial mechanics in computers are also given.</p></div>","PeriodicalId":100241,"journal":{"name":"Chinese Astronomy","volume":"4 2","pages":"Pages 103-112"},"PeriodicalIF":0.0000,"publicationDate":"1980-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0146-6364(80)90040-7","citationCount":"0","resultStr":"{\"title\":\"Machine derivation of the tesseral perturbation of artificial satellites\",\"authors\":\"Lin Qin-chang, Huang Tian-yi\",\"doi\":\"10.1016/0146-6364(80)90040-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A non-conservative Lie transformation is used to establish the theory of tesseral perturbation including the cross terms from the zonal harmonic <em>J</em><sub>2</sub> with the tesseral harmonics. The formulae for the perturbations are derived with a computer. The storage of the Poisson series is effected through a one-to-one correspondence between the multi-dimensional index of a term in the series and the store address of the coefficient of that term. Rules for storing some typical series in celestial mechanics in computers are also given.</p></div>\",\"PeriodicalId\":100241,\"journal\":{\"name\":\"Chinese Astronomy\",\"volume\":\"4 2\",\"pages\":\"Pages 103-112\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0146-6364(80)90040-7\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chinese Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0146636480900407\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0146636480900407","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Machine derivation of the tesseral perturbation of artificial satellites
A non-conservative Lie transformation is used to establish the theory of tesseral perturbation including the cross terms from the zonal harmonic J2 with the tesseral harmonics. The formulae for the perturbations are derived with a computer. The storage of the Poisson series is effected through a one-to-one correspondence between the multi-dimensional index of a term in the series and the store address of the coefficient of that term. Rules for storing some typical series in celestial mechanics in computers are also given.
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