Regularization in Orbital Mechanics : Theory and Practice.

Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.