Introduction to Orbital Perturbations

This textbook provides detailed derivations of Lagrange's planetary equations and Gauss's variational equations, covering a needed topic in existing literature. It offers analytical solutions to verify numerical results and introduces useful techniques. Applied to various problems, including the Earth-Moon system, planetary perturbations, and atmospheric drag, it is valuable for students, practicing engineers, and professionals in astrodynamics, astronomy, and related fields.

Format: Paperback / softback
Length: 339 pages
Publication date: 17 March 2023
Publisher: Springer Nature Switzerland AG

This textbook offers comprehensive insights into the derivation of Lagrange's planetary equations and the closely related Gauss's variational equations, filling a significant gap in existing literature. By presenting analytical solutions, the authors aim to verify the accuracy of numerical work, instilling confidence in the reader's analysis. The authors, all renowned experts in astrodynamics and space missions, meticulously break down the derivation process step by step, facilitating readers in identifying and comprehending potential analytical solutions for their own endeavors. The stages are designed to be elementary yet rigorous, with suggested student research project topics provided.

Following the derivation of the variational equations, the authors apply them to a range of intriguing problems, such as the Earth-Moon system, the influence of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation caused by atmospheric drag. Throughout the text, they introduce valuable techniques such as averaging, Poincaré's method of small parameters, and variation of parameters.

In conclusion, this textbook serves as an invaluable resource for students, practicing engineers, and professionals across various fields, including astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and more. It provides an extensive, detailed, yet accessible presentation of the field of orbital perturbations, making it an essential tool for those seeking a deep understanding of the equations employed in this domain.

"An extensive, detailed, yet still easy-to-follow presentation of the field of orbital perturbations." - Prof. Hanspeter Schaub, Smead Aerospace Engineering Sciences Department, University of Colorado, Boulder.

"This book, based on decades of teaching experience, is an invaluable resource for aerospace engineering students and practitioners alike who need an in-depth understanding of the equations they use." - Dr. Jean Albert Kéchichian, The Aerospace Corporation, Retired.

Weight: 560g
Dimension: 155 x 234 x 25 (mm)
ISBN-13: 9783030897604
Edition number: 1st ed. 2022