Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction

The Method of Lie Transforms
1. Auflage 2025
ISBN: 978-3-11-066722-6
Verlag: De Gruyter

Buch, Englisch, Band 54, 378 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 924 g

Reihe: De Gruyter Studies in Mathematical Physics

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.

Zielgruppe

Researchers and advanced students in Mathematical Physics; space

Autoren/Hrsg.

Lara, Martín

Fachgebiete

• Naturwissenschaften Astronomie Raumfahrt
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Astronautik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Luft- und Raumfahrttechnik, Luftverkehr
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Über Autor(innen)

Martín Lara Coira, Universidad de La Rioja, Spain.