Conservative and Dissipative Models of Celestial Mechanics
This book is devoted to the presentation and discussion of some models of relevance in Celestial Mechanics and Astrodynamics. The motions of celestial bodies, either natural or artificial, are governed by conservative forces, like the gravitational attraction that preserve the total energy and by di...
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Kaituhi rangatōpū: | |
| Hōputu: | Tāhiko īPukapuka |
| Reo: | Ingarihi |
| I whakaputaina: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Putanga: | 1st ed. 2025. |
| Rangatū: | Springer Monographs in Mathematics,
|
| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.1007/978-3-032-01866-3 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
MARC
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| 100 | 1 | |a Celletti, Alessandra. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Conservative and Dissipative Models of Celestial Mechanics |h [electronic resource] / |c by Alessandra Celletti. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XXI, 274 p. 28 illus.). |b 21 illus. in color. | ||
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| 505 | 0 | |a Chapter 1. Conservative and dissipative dynamical systems -- Chapter 2. Perturbation theory -- Chapter 3. Kepler’s problem -- Chapter 4. The 3-body problem. Chapter 5. Euler-Lagrange solutions -- Chapter 6. Halo orbits -- Chapter 7. Laplace resonance -- Chapter 8. The geopotential and the J2 problem -- Chapter 9. Earth’s satellite and space debris dynamics -- Chapter 10. The spin-orbit problem -- Chapter 11. Rotational dynamics with obliquity -- Chapter 12. The spin-spin model -- Chapter 13. Dumbbell and tether models -- Chapter 14. Solar sails. | |
| 520 | |a This book is devoted to the presentation and discussion of some models of relevance in Celestial Mechanics and Astrodynamics. The motions of celestial bodies, either natural or artificial, are governed by conservative forces, like the gravitational attraction that preserve the total energy and by dissipative forces, like the tidal torque, Stokes drag, and the Poynting-Robertson effect. The basic idea of this book is to describe in each chapter a model in the conservative setting, providing its main features, and then to extend the model by including dissipative forces. In fact, the dynamics of many objects of the Solar system is well described, in a first approximation, by a conservative model; however, in the long term, dissipative effects may play a relevant role, for example, in shaping the dynamics and affecting the evolutionary history of the Solar system. Motivated by this observation, in this book, different models are presented and their main features are described in the conservative setting, but dissipative contributions, pertinent to the model, are added as well, which may lead to a completely different dynamics on long time scales. Conservative systems have a larger variety of motions, e.g., the dynamics can take place on rotational tori, librational motions, periodic orbits, and chaotic trajectories. On the contrary, dissipative systems admit a less rich dynamics, since the dissipation forces the motion to take place on a few attractors, e.g., rotational tori, periodic orbits or strange attractors. Besides, dissipative systems often need extra parameters to compensate for the loss of energy and to allow the dynamics to take place on non-trivial attractors. The book is addressed to graduate students and researchers interested in models of Celestial Mechanics and Astrodynamics. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
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| 650 | 0 | |a Dynamical systems. | |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-032-01866-3 |
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