Hansen Coefficients In Satellite Orbital Dynamics

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.

"This work attempts a complete exposition of the modified Hansen's theory developed by Dr. Peter Musen for analysis of the motion of an artificial satellite in the earth's gravitational field."--Preface.

This book highlights the fundamental physics of orbit theory, dynamical models, methods of orbit determination, design, measurement, adjustment, and complete calculations for the position, tracking, and prediction of satellites and deep spacecraft. It emphasizes specific methods, related mathematical calculations, and worked examples and exercises. Therefore, technicians and engineers in the aerospace industry can directly apply them to their practical work. Dedicated to undergraduate students and graduate students, researchers, and professionals in astronomy, physics, space science, and related aerospace industries, the book is an integrated work based on the accumulated knowledge in satellite orbit dynamics and the author’s more than five decades of personal research and teaching experience in astronomy and aerospace dynamics.

Analytical solutions to the orbital motion of celestial objects have been nowadays mostly replaced by numerical solutions, but they are still irreplaceable whenever speed is to be preferred to accuracy, or to simplify a dynamical model. In this book, the most common orbital perturbations problems are discussed according to the Lie transforms method, which is the de facto standard in analytical orbital motion calculations.