I. E. Stepanova, A. G. Yagola, D. V. Lukyanenko, I. I. Kolotov
{"title":"On Constructing Analytical Models of the Magnetic Field of Mercury from Satellite Data","authors":"I. E. Stepanova, A. G. Yagola, D. V. Lukyanenko, I. I. Kolotov","doi":"10.1134/S1069351323060216","DOIUrl":null,"url":null,"abstract":"<p>A new method is proposed for analytical description of the magnetic field of Mercury from the data of satellite missions based on the local and regional versions of the linear integral representation method. The inverse problem on finding the sources of the field is reduced to solving ill-conditioned systems of linear algebraic equations with an approximately given right-hand side. The charts of the isolines of the <i>z</i>-component of the magnetic induction vector in the Cartesian coordinate system rigidly connected with the planet, as well as the regional <i>S</i>-approximation of the field radial component are plotted. The results of the mathematical experiment on analytic continuation of the magnetic field towards the sources are presented.</p>","PeriodicalId":602,"journal":{"name":"Izvestiya, Physics of the Solid Earth","volume":"59 6","pages":"979 - 992"},"PeriodicalIF":0.9000,"publicationDate":"2023-11-28","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/S1069351323060216","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 method is proposed for analytical description of the magnetic field of Mercury from the data of satellite missions based on the local and regional versions of the linear integral representation method. The inverse problem on finding the sources of the field is reduced to solving ill-conditioned systems of linear algebraic equations with an approximately given right-hand side. The charts of the isolines of the z-component of the magnetic induction vector in the Cartesian coordinate system rigidly connected with the planet, as well as the regional S-approximation of the field radial component are plotted. The results of the mathematical experiment on analytic continuation of the magnetic field towards the 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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
