Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction: The Method of Lie Transforms

Martín Lara

Published by De Gruyter 2021

Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction

The Method of Lie Transforms

Martín Lara

Volume 54 in the series De Gruyter Studies in Mathematical Physics

https://doi.org/10.1515/9783110668513

Overview
Contents

About this book

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.

Due to an oversight, an error slipped in Section 4.1 of the book, where it is implicitly assumed the case of the Kepler problem. The following text should replace Sections 4.1 and 4.2 of the book. Cross-references may be affected with the new writing. In particular, former crossed references to Eq.(4.3) should now point to current Eq.(4.12). Please find the Erratum below.

Discuss perturbations originated from the non-homogeneous distribution of the mass of the Earth and lunisolar perturbations.
Illustrates the Lie transforms method through several different solutions to the restricted three-body problem.

Author / Editor information

Martín Lara Coira, Universidad de La Rioja, Spain.

Supplementary Materials

Erratum_HamiltonianPertubationSolutions

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Part I: Hamiltonian perturbations by Lie transforms
2 The method of Lie transforms Requires Authentication Unlicensed Licensed Download PDF	29
3 Application to integrable problems Requires Authentication Unlicensed Licensed Download PDF	45
Part II: Perturbed elliptic motion: Artificial satellite theory
4 The Kepler problem Requires Authentication Unlicensed Licensed Download PDF	77
5 The main problem of the artificial satellite Requires Authentication Unlicensed Licensed Download PDF	92
6 Zonal perturbations Requires Authentication Unlicensed Licensed Download PDF	124
7 Tesseral perturbations Requires Authentication Unlicensed Licensed Download PDF	176
8 Lunisolar perturbations Requires Authentication Unlicensed Licensed Download PDF	203
9 Non-conservative effects Requires Authentication Unlicensed Licensed Download PDF	235
Part III: Relative motion and perturbed non-Keplerian motion
10 The Hill problem Requires Authentication Unlicensed Licensed Download PDF	253
11 Motion inside Hill’s sphere Requires Authentication Unlicensed Licensed Download PDF	265
12 Motion about the libration points Requires Authentication Unlicensed Licensed Download PDF	295
13 Quasi-satellite orbits Requires Authentication Unlicensed Licensed Download PDF	313
Bibliography Requires Authentication Unlicensed Licensed Download PDF	337
Index Requires Authentication Unlicensed Licensed Download PDF	371

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and advanced students in Mathematical Physics; space scientists.
Pages
- Front matter: 16
- Main content: 378
Illustrations
- Illustrations: 150
- Coloured Illustrations: 50
Keywords: Hamilton-Jacobi-Differentialgleichung; Störungstheorie; Umlaufbahn

eBook

Published: May 10, 2021
ISBN: 9783110668513

Hardcover

Published: May 10, 2021
ISBN: 9783110667226