{"title":"重力测量量球面谐波模型的精确实施","authors":"Christopher Jekeli","doi":"10.1515/jogs-2022-0161","DOIUrl":null,"url":null,"abstract":"\n This note presents formulas to evaluate a spherical harmonic model of Earth’s gravitational potential for essential gravimetric quantities without spherical and linear approximation. Typically, 10–13 significant digits of numerical accuracy for such computations are obtained over the globe using EGM2008 with FORTRAN 77 code that is also provided.","PeriodicalId":44569,"journal":{"name":"Journal of Geodetic Science","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The exact implementation of a spherical harmonic model for gravimetric quantities\",\"authors\":\"Christopher Jekeli\",\"doi\":\"10.1515/jogs-2022-0161\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n This note presents formulas to evaluate a spherical harmonic model of Earth’s gravitational potential for essential gravimetric quantities without spherical and linear approximation. Typically, 10–13 significant digits of numerical accuracy for such computations are obtained over the globe using EGM2008 with FORTRAN 77 code that is also provided.\",\"PeriodicalId\":44569,\"journal\":{\"name\":\"Journal of Geodetic Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geodetic Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/jogs-2022-0161\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"REMOTE SENSING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geodetic Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/jogs-2022-0161","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"REMOTE SENSING","Score":null,"Total":0}
The exact implementation of a spherical harmonic model for gravimetric quantities
This note presents formulas to evaluate a spherical harmonic model of Earth’s gravitational potential for essential gravimetric quantities without spherical and linear approximation. Typically, 10–13 significant digits of numerical accuracy for such computations are obtained over the globe using EGM2008 with FORTRAN 77 code that is also provided.