03333nam 2200541 450 991046732160332120200520144314.03-11-055862-93-11-055912-910.1515/9783110559125(CKB)4100000001040031(MiAaPQ)EBC5123809(DE-B1597)487193(OCoLC)1004882560(DE-B1597)9783110559125(Au-PeEL)EBL5123809(CaPaEBR)ebr11466367(EXLCZ)99410000000104003120171211h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierRegularization in orbital mechanics theory and practice /Javier RoaBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (422 pages) illustrationsDe Gruyter Studies in Mathematical Physics,2194-3532 ;Volume 423-11-055855-6 Includes bibliographical references and index.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 -- IndexRegularized 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. De Gruyter studies in mathematical physics.Orbital mechanicsAstrodynamicsElectronic books.Orbital mechanics.Astrodynamics.629.4113Roa Javier(Javier Roa Vicens),1034322MiAaPQMiAaPQMiAaPQBOOK9910467321603321Regularization in orbital mechanics2453370UNINA