Introduction to orbital perturbations / James M. Longuski, Felix R. Hoots, George E. Pollock IV.

Format:

Book

Author/Creator:

Longuski, Jim, author.

Hoots, Felix R., 1947- author.

Pollock, George E., author.

Series:

Space technology library ; v. 40.

Space technology library ; volume 40

Language:

English

Subjects (All):

Planets--Orbits.

Planets.

Perturbation (Astronomy).

Genre:

Electronic books.

Physical Description:

1 online resource (349 pages) : illustrations (some color).

Place of Publication:

Cham : Springer, [2022]

Summary:

This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authorsall experienced experts in astrodynamics and space missionstake on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors. The stages are elementary yet rigorous; suggested student research project topics are provided. After deriving the variational equations, the authors apply them to many interesting problems, including the Earth-Moon system, the effect of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation due to atmospheric drag. Along the way, they introduce several useful techniques such as averaging, Poincare's method of small parameters, and variation of parameters. In the end, this textbook will help students, practicing engineers, and professionals across the fields of astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and others.

Contents:

Chapter 1. The n-Body Problem

Chapter 2. General Perturbations

Chapter 3. Evaluation of Lagranges Brackets

Chapter 4. Lagranges Planetary Equations

Chapter 5. Expansion of the Perturbation Function

Chapter 6. The Earth-Moon System

Chapter 7. Potential of an Oblate Spheroid

Chapter 8. Effects of General Relativity

Chapter 9. Perturbations due to Atmospheric Drag

Chapter 10. Periodic Solutions in Nonlinear Oscillations.

Notes:

Includes bibliographical references and index.

Description based upon print version of record.

Other Format:

Print version: Longuski, James M. Introduction to Orbital Perturbations

ISBN:

9783030897581

3030897583

OCLC:

1302007639

Access Restriction:

Restricted for use by site license.