Regularization in Orbital Mechanics : : Theory and Practice / / Javier Roa.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1
• VerfasserIn: Roa, Javier,
• MitwirkendeR: Efroimsky, Michael,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2017]; ©2017
• Year of Publication: 2017
• Language: English
• Series: De Gruyter Studies in Mathematical Physics , 42
• Physical Description: 1 online resource (XV, 403 p.)
• Other title: Frontmatter --; Foreword --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110559125; 9783110762495; 9783110719543; 9783110645309; 9783110540550; 9783110625264; 9783110548235
• ISSN: 2194-3532
• DOI: 10.1515/9783110559125
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Javier Roa.

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.