Screen LibraryRegularization in orbital mechanics : theory and practice /
"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 inves...
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| Main Authors: | |
|---|---|
| Published: |
Walter de Gruyter, GmbH,
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| Publisher Address: | Berlin : |
| Publication Dates: | [2017] |
| Literature type: | Book |
| Language: | English |
| Series: |
De Gruyter studies in mathematical physics,
volume 42 |
| Subjects: | |
| Summary: |
"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 the practical scenarios such as spacecraft relative motion and new low-thrust trajectories"--Back cover. |
| Carrier Form: | xv, 403 pages : illustrations (some color) ; 25 cm. |
| Bibliography: | Includes bibliographical references (pages [383]-398) and index. |
| ISBN: |
9783110558555 3110558556 |
| Index Number: | TL1050 |
| CLC: | V412.4 |
| Call Number: | V412.4/R628 |
| Contents: |
Introduction. Current challenges in space exploration -- Regularization -- Theoretical aspects of regularization -- The Kustaanheimo-Stiefel space and the Hopf fibration -- The Dromo formulation -- Dedicated formulation: propagating hyperbolic orbits -- Evaluating the numerical performance -- Applications -- The theory of asynchronous relative motion -- Universal and regular solutions to relative motion -- Generalized logarithmic spirals: a new analytic solution with continuous thrust -- Lambert's problem with generalized logarithmic spirals -- Low-thrust trajectory design with controlled generalized logarithmic spirals -- Nonconservative extension of Keplerian integrals and new families of orbits -- Conclusions -- Appendices -- Hypercomplex numbers -- Formulations in PERFORM -- Inverse transformations -- Elliptic integrals and elliptic functions -- Controlled generalized logarithmic spirals -- Dynamics in Seiffert's spherical spirals -- List of figures -- Bibliography -- Index. |