Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction : : The Method of Lie Transforms / / Martín Lara.

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 ar...

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Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2021
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2021]
©2021
Year of Publication:2021
Language:English
Series:De Gruyter Studies in Mathematical Physics , 54
Online Access:
Physical Description:1 online resource (XVI, 378 p.)
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Other title:Frontmatter --
Preface --
Contents --
1 Introduction --
Part I: Hamiltonian perturbations by Lie transforms --
2 The method of Lie transforms --
3 Application to integrable problems --
Part II: Perturbed elliptic motion: Artificial satellite theory --
4 The Kepler problem --
5 The main problem of the artificial satellite --
6 Zonal perturbations --
7 Tesseral perturbations --
8 Lunisolar perturbations --
9 Non-conservative effects --
Part III: Relative motion and perturbed non-Keplerian motion --
10 The Hill problem --
11 Motion inside Hill’s sphere --
12 Motion about the libration points --
13 Quasi-satellite orbits --
Bibliography --
Index
Summary: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.
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110668513
9783110750720
9783110750706
9783110754001
9783110753776
9783110754162
9783110753936
ISSN:2194-3532 ;
DOI:10.1515/9783110668513
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Martín Lara.