caa a22 4500 445300949 CHVBK 20180317142557.0 cr unu---uuuuu 170323e20100501xx s 000 0 eng 10.1007/s11430-010-0014-2 doi (NATIONALLICENCE)springer-10.1007/s11430-010-0014-2 The gravitational gradient tensor's invariants and the related boundary conditions [Elektronische Daten] [JinHai Yu, DongMing Zhao] Here we report new approaches of recovering the Earth gravitational field from GOCE (Gravity field and steady-state Ocean Circulation Explorer) gradiometric data with the help of the gradient tensor's invariants. Our results only depend on GOCE satellite's position and gradiometry, in other words, they are completely independent of the satellite attitude. First, starting from the invariants, linearization models are established, which can be referred as the general boundary conditions on the satellite's orbit. Then, the spherical approximation expressions for the models are derived, and the corresponding solving methods for them are discussed. Furthermore, considering effects of J 2-term, the spherical approximation models are improved so that the accuracies of the boundary conditions can be theoretically raised to O(J 22· T), which is approximately equivalent to O(T 2). Finally, some arithmetic examples are constructed from EGM96 model based on the derived theories, and the computational results illustrate that the spherical models have accuracies of 10−7 and the order recovering the gravitational field can reach up to 200, and the models with regard to effect of J 2-term have accuracies of 10−8 and the order can reach up to 280. Science China Press and Springer-Verlag Berlin Heidelberg, 2010 the Earth's gravitational field nationallicence gravitational gravidiometry nationallicence tensor's invariant nationallicence Yu JinHai College of Earth Science, Graduate University of Chinese Academy of Sciences, 100049, Beijing, China aut Zhao DongMing Zhengzhou Institute of Surveying and Mapping, 450052, Zhengzhou, China aut Science China Earth Sciences SP Science China Press 53/5(2010-05-01), 781-790 1674-7313 53:5<781 2010 53 11430 https://doi.org/10.1007/s11430-010-0014-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11430-010-0014-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yu JinHai College of Earth Science, Graduate University of Chinese Academy of Sciences, 100049, Beijing, China aut NATIONALLICENCE 700 1- Zhao DongMing Zhengzhou Institute of Surveying and Mapping, 450052, Zhengzhou, China aut NATIONALLICENCE 773 0- Science China Earth Sciences SP Science China Press 53/5(2010-05-01), 781-790 1674-7313 53:5<781 2010 53 11430 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer