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This is the first reference and handbook since the satellite era began, which describes and derives systematically the orbit theory with analytical solutions of the equations of satellite motion, with respect to all of the extraterrestrial and geopotential disturbances of the second order. The equations of satellite motion perturbed by extraterrestrial disturbances are solved by means of discretization and approximated potential functions as well as Gaussian equations. The equations perturbed by geopotential disturbances are solved by using symbolic mathematical operations. The traditional problem of singularity in the solutions is solved by so-called singularity-free theory. Simplified disturbed equations of motion are proposed to simplify the solutions. Applications of the theory for analytic orbit determination are discussed. The contents cover the complete orbit theory and the analytic solutions of the disturbed satellite orbits as well as their applications. Based on such theory, the algorithms of orbit determination can be greatly renewed; deeper insight into the physics of disturbances becomes possible; the way to a variety of new applications and refinements is opened. About the Author Guochang Xu graduated in mathematics and geodesy from Wuhan University and the Chinese Academy of Sciences (CAS) in 1982 and 1984 respectively. He obtained his doctorate from the Technical University (TU) Berlin in 1992. Having worked as a research associate at the TU Berlin from 1986 to 1993, as a scientist at the GeoForschungsZentrum (GFZ) Potsdam from 1993 to 1998 and as a senior scientist at the National Survey and Cadastre, Denmark, from 1998 to 1999, he returned to the GFZ as a senior scientist in 1999. He has been involved in geodetic research since 1983 and has authored and co-authored several scientific books and software. He is also an overseas assessor of CAS and Education Ministry China and an adjunct professor of ChangAn University and CAS.



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