1.

Record Nr.

UNINA9910467321603321

Autore

Roa Javier (Javier Roa Vicens)

Titolo

Regularization in orbital mechanics : theory and practice / / Javier Roa

Pubbl/distr/stampa

Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017

©2017

ISBN

3-11-055862-9

3-11-055912-9

Descrizione fisica

1 online resource (422 pages) : illustrations

Collana

De Gruyter Studies in Mathematical Physics, , 2194-3532 ; ; Volume 42

Disciplina

629.4113

Soggetti

Orbital mechanics

Astrodynamics

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Foreword / Efroimsky, Michael -- Contents -- 1. Introduction. Current challenges in space exploration -- Part I: Regularization -- 2. Theoretical aspects of regularization -- 3. The Kustaanheimo-Stiefel space and the Hopf fibration -- 4. The Dromo formulation -- 5. Dedicated formulation: Propagating hyperbolic orbits -- 6. Evaluating the numerical performance -- Part II: Applications -- 7. The theory of asynchronous relative motion -- 8. Universal and regular solutions to relative motion -- 9. Generalized logarithmic spirals: A new analytic solution with continuous thrust -- 10. Lambert's problem with generalized logarithmic spirals -- 11. Low-thrust trajectory design with controlled generalized logarithmic spirals -- 12. Nonconservative extension of Keplerian integrals and new families of orbits -- 13. Conclusions -- Part III: Appendices -- A. Hypercomplex numbers -- B. Formulations in PERFORM -- C. Stumpff functions -- E. Elliptic integrals and elliptic functions -- F. Controlled generalized logarithmic spirals -- G. Dynamics in Seiffert's spherical spirals -- List of Figures -- Bibliography -- Index

Sommario/riassunto

Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent



research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.