Hamiltonian perturbation solutions for spacecraft orbit prediction : the method of lie transforms / Martín Lara.

Format:

Book

Author/Creator:

Lara, Martín, author.

Series:

De Gruyter Studies in Mathematical Physics

De Gruyter Studies in Mathematical Physics ; 54

Language:

English

Subjects (All):

Orbital mechanics--Mathematics.

Orbital mechanics.

Perturbation (Mathematics).

Physical Description:

1 online resource (XVI, 378 p.)

Place of Publication:

Berlin, Germany ; Boston, Massachusetts : De Gruyter, [2021]

Language Note:

In English.

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.

Contents:

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

Notes:

Description based on print version record.

Includes bibliographical references and index.

ISBN:

3-11-066732-0

3-11-066851-3

OCLC:

1252419162