LEADER 03333nam 2200541 450 001 9910467321603321 005 20200520144314.0 010 $a3-11-055862-9 010 $a3-11-055912-9 024 7 $a10.1515/9783110559125 035 $a(CKB)4100000001040031 035 $a(MiAaPQ)EBC5123809 035 $a(DE-B1597)487193 035 $a(OCoLC)1004882560 035 $a(DE-B1597)9783110559125 035 $a(Au-PeEL)EBL5123809 035 $a(CaPaEBR)ebr11466367 035 $a(EXLCZ)994100000001040031 100 $a20171211h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aRegularization in orbital mechanics $etheory and practice /$fJavier Roa 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$dİ2017 215 $a1 online resource (422 pages) $cillustrations 225 1 $aDe Gruyter Studies in Mathematical Physics,$x2194-3532 ;$vVolume 42 311 $a3-11-055855-6 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tForeword / $rEfroimsky, Michael -- $tContents -- $t1. Introduction. Current challenges in space exploration -- $tPart I: Regularization -- $t2. Theoretical aspects of regularization -- $t3. The Kustaanheimo-Stiefel space and the Hopf fibration -- $t4. The Dromo formulation -- $t5. Dedicated formulation: Propagating hyperbolic orbits -- $t6. Evaluating the numerical performance -- $tPart II: Applications -- $t7. The theory of asynchronous relative motion -- $t8. Universal and regular solutions to relative motion -- $t9. Generalized logarithmic spirals: A new analytic solution with continuous thrust -- $t10. Lambert's problem with generalized logarithmic spirals -- $t11. Low-thrust trajectory design with controlled generalized logarithmic spirals -- $t12. Nonconservative extension of Keplerian integrals and new families of orbits -- $t13. Conclusions -- $tPart III: Appendices -- $tA. Hypercomplex numbers -- $tB. Formulations in PERFORM -- $tC. Stumpff functions -- $tE. Elliptic integrals and elliptic functions -- $tF. Controlled generalized logarithmic spirals -- $tG. Dynamics in Seiffert's spherical spirals -- $tList of Figures -- $tBibliography -- $tIndex 330 $aRegularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories. 410 0$aDe Gruyter studies in mathematical physics. 606 $aOrbital mechanics 606 $aAstrodynamics 608 $aElectronic books. 615 0$aOrbital mechanics. 615 0$aAstrodynamics. 676 $a629.4113 700 $aRoa$b Javier$g(Javier Roa Vicens),$01034322 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467321603321 996 $aRegularization in orbital mechanics$92453370 997 $aUNINA