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This book highlights the systematic investigation into the calculation of Hansen coefficients and their derivatives in satellite orbital dynamics. Direct, recurrence and other types of calculation methods of Hansen coefficients and their derivatives are comprehensively presented. The calculation in motion theory without singularities is particularly discussed. From the perspective of accuracy and efficiency, the advantages and disadvantages of various calculation methods are compared and analyzed, and some improvements are proposed. This book is intended for graduate students and researchers engaged in astronomy, space science, and geodesy. One can choose from the calculation methods of Hansen coefficients and their derivatives presented in this book to meet their practical needs.
List of contents
Introduction.- Calculation and their Derivatives.- Direct Calculation Methods of Hansen Coefficients and their Derivatives.- Recursion of Hansen Coefficients.- Other Calculation Methods of Hansen Coefficients.- Appendixes
About the author
Prof. Lianda WU worked in Purple Mountain Observatory, Chinese Academy of Sciences (CAS). As a member of the Astronomical Committee, CAS, he successively served as the leader of Astrometry and Celestial Mechanics Branch, Chief Researcher of the Innovation Team, and Director of the Center of Artificial Satellite Observation and Research. He has dedicated to the research of satellite dynamics and achieved significantly on orbit determination, perturbation calculation, data processing, and detection methods of space debris.
Dr. Mingjiang Zhang received his Ph.D. in Astrometry and Celestial Mechanics from the University of Chinese Academy of Sciences. He is currently a Project Researcher in the Department of Applied celestial mechanics and Space Object & Debris Research, Purple Mountain Observatory, Chinese Academy of Sciences. His research focuses on satellite dynamics, analytical mechanics and orbit data processing and application.
