Regularization in Orbital Mechanics Theory and Practice / [online] :
Javier Roa
- Berlin : De Gruyter, 2017
- 1 resursă online (403 p.)
- De Gruyter Studies in Mathematical Physics, 42 .
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