地球科学和深空探测的引力场建模理论研究进展
Theoretical research progress of gravitational field modeling in Earth science and deep-space exploration
摘要
Abstract
Modeling the gravitational field of irregular celestial bodies is a common problem currently faced by the researchers in the fields of Earth science and deep space exploration.This paper reviews the developmental history of gravitational field modeling theory in these two fields.It summarizes research progress in the last decade,focusing on multipole expansion and potential-flow simulation theories.The gravitational field multipole expan-sion theory introduces the complex algebraic function commonly used in electromagnetism and quantum mecha-nics to the gravitational field modeling research field,which can express the(internal and external)gravitational field of celestial bodies more concisely.The calculation rules and mathematical tools from the complex function theory make solving the gravitational dynamics problems in Earth and planetary science more convenient.The po-tential-flow simulation theory is proposed on top of the equivalence of the Earth's external gravitational vector field and the potential-flow velocity field.That is,both are source-and curl-free vector fields.It introduces the numeri-cal algorithms of computational fluid dynamics to model the external gravitational fields of celestial bodies.Be-cause the potential-flow simulation theory is not established based on the perturbation theory,it can overcome the divergence problem of conventional methods,especially when inverting for the gravitational field of an irregularly shaped celestial body.The two theories expand the theoretical research of gravitational field modeling by using seemingly irrelevant knowledge from other research fields,and such methodology is instructive for Earth or deep-space science researchers to make subsequent theoretical improvements.Moreover,we also systematically categori-ze,compare,and analyze the existing gravitational field modeling methods based on the mathematical definition of the gravitational field,as well as its variants,and summarize their advantages and disadvantages,helping to select proper gravitational field modeling methods for the Earth and deep-space science researchers.关键词
引力场/引力场建模/边值理论/深空探测/不规则天体Key words
gravitational field/gravitational field model/boundary value problem/deep space exploration/irregular celestial bodies分类
地球科学引用本文复制引用
尹智,张克非,段亚博,刘军生,穆庆禄..地球科学和深空探测的引力场建模理论研究进展[J].地球与行星物理论评（中英文）,2024,55(5):501-512,12.基金项目
国家自然科学基金青年基金资助项目(42204088) （42204088）
国家自然科学基金资助项目(42274021,41874040,42304015,41730109,42361134583) （42274021,41874040,42304015,41730109,42361134583）
高等学校学科创新引智计划(B20046) （B20046）
中国矿业大学"双一流"建设提升自主创新能力资助项目(2022ZZCX06) （2022ZZCX06）
江苏省科技计划专项资金-创新支撑计划国际科技合作资助项目(BZ2022018) （BZ2022018）
江苏省自然科学基金青年基金资助项目(BK20231087)Supported by the National Natural Science Foundation of China(Grant Nos.42204088,42274021,41874040,42304015,41730109 and 42361134583),the Space-Air-Ground-Well Cooperative Smart Geospatial Sensing Innovation Centre(Grant No.B20046),the Independent Innovation Project of"Double-First Class"Construction(Grant No.2022ZZCX06),the Jiangsu Provincial Science and Technology Initiative-Special Fund for International Science and Technology Cooperation awarded in 2022(Grant No.BZ2022018),and the Jiangsu Province Natural Science Foundation of China(Grant No.BK20231087) （BK20231087）
