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

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.

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

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.

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

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

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

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

by Martín Lara

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Overview

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.


Product Details

ISBN-13: 9783110667325
Publisher: De Gruyter
Publication date: 05/10/2021
Series: De Gruyter Studies in Mathematical Physics , #54
Sold by: Barnes & Noble
Format: eBook
Pages: 394
File size: 46 MB
Note: This product may take a few minutes to download.
Age Range: 18 Years

About the Author

Martín Lara Coira, Universidad de La Rioja, Spain.
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