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book: Regularization in Orbital Mechanics
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Regularization in Orbital Mechanics

Theory and Practice
  • Javier Roa
Language: English
Published/Copyright: 2017
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De Gruyter Studies in Mathematical Physics

About this book

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 practical scenarios such as spacecraft relative motion and new low-thrust trajectories.

Author / Editor information

Javier Roa, Technical University of Madrid, Spain.

Reviews

"This book depicts the state of the art of the regularisation theory in applications to Celestial Mechanics and Astrodynamics. [...] a precious resource for researchers working in the field of Celestial Mechanics and Astrodynamics."
Ugo Locatelli in: Celestial Mechanics and Dynamical Astronomy (2018) 130: 69. https://doi.org/10.1007/s10569-018-9866-0

"Doubtlessly the monograph will be useful for graduate and postgraduate students and researches working in the area of celestial mechanics and astrodynamics."
Sergei Georgievich Zhuravlev in: Zentralblatt MATH 1396.70003

Topics

  • Publicly Available

    Frontmatter

    I
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    Foreword

    VII
    Michael Efroimsky
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    Contents

    IX
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    1. Introduction. Current challenges in space exploration

    1
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  • Part I: Regularization
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    2. Theoretical aspects of regularization

    11
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    3. The Kustaanheimo–Stiefel space and the Hopf fibration

    47
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    4. The Dromo formulation

    84
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    5. Dedicated formulation: Propagating hyperbolic orbits

    101
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    6. Evaluating the numerical performance

    127
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  • Part II: Applications
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    7. The theory of asynchronous relative motion

    141
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    8. Universal and regular solutions to relative motion

    172
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    9. Generalized logarithmic spirals: A new analytic solution with continuous thrust

    195
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    10. Lambert’s problem with generalized logarithmic spirals

    233
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    11. Low-thrust trajectory design with controlled generalized logarithmic spirals

    261
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    12. Nonconservative extension of Keplerian integrals and new families of orbits

    293
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    13. Conclusions

    324
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  • Part III: Appendices
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    A. Hypercomplex numbers

    327
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    B. Formulations in PERFORM

    336
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    C. Stumpff functions

    339
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    E. Elliptic integrals and elliptic functions

    348
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    F. Controlled generalized logarithmic spirals

    356
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    G. Dynamics in Seiffert’s spherical spirals

    366
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    List of Figures

    379
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    Bibliography

    383
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    Index

    399
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
September 25, 2017
eBook ISBN:
9783110559125
Hardcover published on:
September 25, 2017
Hardcover ISBN:
9783110558555
Pages and Images/Illustrations in book
Front matter:
15
Main content:
403
Illustrations:
56
Coloured Illustrations:
44
Tables:
26
https://doi.org/10.1515/9783110559125
eBook ISBN: 9783110559125
Hardcover ISBN: 9783110558555
Keywords for this book
Umlaufbahn; Raumfahrt; Himmelsmechanik
Audience(s) for this book
Researchers in Physics, Celestial Mechanics, Orbital Mechanics and Aerospace Engineering.
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