Table of contents

  1. Front Matter
    Pages I-XVII
  2. Guochang Xu
    Pages 1-3
  3. Guochang Xu
    Pages 5-25
  4. Guochang Xu
    Pages 27-37
  5. Guochang Xu
    Pages 39-65
  6. Guochang Xu
    Pages 67-86
  7. Guochang Xu
    Pages 87-146
  8. Guochang Xu
    Pages 147-173
  9. Guochang Xu
    Pages 175-199
  10. Guochang Xu
    Pages 201-205
  11. Guochang Xu
    Pages 207-214
  12. Back Matter
    Pages 219-226

About this book


The purpose of this reference and handbook is to describe and to derive the analytic solutionsoftheequationsofsatellitemotionperturbedbyextraterrestrialandgeo- tential disturbances of the second order. The equations of satellite motion perturbed by extraterrestrial disturbances are solved by means of discretization and appr- imated potential function as well as Gaussian equations. The equations perturbed by geopotential disturbances are solved by symbolic mathematical operations. The traditional problem of singularity in the solutions is solved by so-called singulari- free orbit theory. Simpli?ed disturbed equations of motion are proposed to simplify the solutions. Applications of the theory for analytic orbit determination are also discussed. Indeed, this is the ?rst book since the satellite era, which describes s- tematically the orbit theory with analytical solutions, with respect to all of extrat- restrial and geopotential disturbances of the second order, and the solutions are free of singularity. Based on such a theory, the algorithms of orbit determination can be renewed; deeper insight into the physics of disturbances becomes possible; the way to a variety of new applications and re?nements is opened. My primary knowledge of the orbit theory came from my education of mat- matics while studying physics and theoretical mechanics (1981). My ?rst practical experience with orbit came from the research activity at the Technical University (TU) Berlin on orbit corrections of the satellite altimetry data (1988–1992). The extensive experience on orbit came from the GPS/Galileo software development for orbit determination and geopotential mapping at the GFZ (2001–2004).


Orbit algorithms of orbits determination navigation and positioning orbits theory satellite satellites solutions of the orbits disturbances

Authors and affiliations

  • Guochang Xu
    • 1
  1. 1.Dept. 1 Geodesy and Remote SensingGeoForschungsZentrum PotsdamTelegrafenberg A 17Germany

Bibliographic information