I. E. Stepanova, A. G. Yagola, D. V. Lukyanenko, I. I. Kolotov
{"title":"On Constructing of Magnetic and Gravity Images of Mercury from Satellite Data","authors":"I. E. Stepanova, A. G. Yagola, D. V. Lukyanenko, I. I. Kolotov","doi":"10.1134/S1069351324700459","DOIUrl":null,"url":null,"abstract":"<p><b>Abstract</b>—A new technique for simultaneous construction of the “gravity” and “magnetic” images of Mercury from satellite data based on the regional version of the <i>S</i> approximation is proposed. The mathematical statement of the inverse problem of finding the images of a planet from the data on the potential fields recorded at different instants with different degrees of accuracy is reduced to solving ill-conditioned systems of linear algebraic equations (SLAE) with approximate right-hand sides. Based on the analytical approximations of the mercury magnetic and gravity fields determined from the solution of the ill-conditioned SLAE, the distributions of the equivalent sources on the spheres are determined. The results of the mathematical experiment on constructing the magnetic image of Mercury from the radial component of the magnetic induction vector continued analytically to the field sources are presented.</p>","PeriodicalId":602,"journal":{"name":"Izvestiya, Physics of the Solid Earth","volume":"60 3","pages":"441 - 458"},"PeriodicalIF":0.9000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya, Physics of the Solid Earth","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1134/S1069351324700459","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract—A new technique for simultaneous construction of the “gravity” and “magnetic” images of Mercury from satellite data based on the regional version of the S approximation is proposed. The mathematical statement of the inverse problem of finding the images of a planet from the data on the potential fields recorded at different instants with different degrees of accuracy is reduced to solving ill-conditioned systems of linear algebraic equations (SLAE) with approximate right-hand sides. Based on the analytical approximations of the mercury magnetic and gravity fields determined from the solution of the ill-conditioned SLAE, the distributions of the equivalent sources on the spheres are determined. The results of the mathematical experiment on constructing the magnetic image of Mercury from the radial component of the magnetic induction vector continued analytically to the field sources are presented.
期刊介绍：
Izvestiya, Physics of the Solid Earth is an international peer reviewed journal that publishes results of original theoretical and experimental research in relevant areas of the physics of the Earth''s interior and applied geophysics. The journal welcomes manuscripts from all countries in the English or Russian language.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
