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Keplerian ellipses : a student guide to the physics of the gravitational two-body problem /
Kepler's three laws of planetary motion were a stunning development in human intellectual history. This second edition is a concise, self-contained treatment of Kepler/Newton planetary orbits at the level of an advanced undergraduate physics student. New to this edition are elements such as a d...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2023]
|
| Edición: | Second edition. |
| Colección: | IOP (Series). Release 22.
AAS-IOP astronomy. 2022 collection. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 024 | 7 | |a 10.1088/2514-3433/acb430 |2 doi | |
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| 035 | |a (OCoLC)1374849883 | ||
| 040 | |a CaBNVSL |b eng |e rda |c CaBNVSL |d CaBNVSL | ||
| 050 | 4 | |a QB362.T9 |b R445 2023eb | |
| 072 | 7 | |a PGC |2 bicssc | |
| 072 | 7 | |a SCI004000 |2 bisacsh | |
| 082 | 0 | 4 | |a 521.1/1 |2 23 |
| 100 | 1 | |a Reed, Bruce Cameron, |e author. | |
| 245 | 1 | 0 | |a Keplerian ellipses : |b a student guide to the physics of the gravitational two-body problem / |c Bruce Cameron Reed. |
| 246 | 3 | 0 | |a Student guide to the physics of the gravitational two-body problem. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |b IOP Publishing, |c [2023] | |
| 300 | |a 1 online resource (various pagings) : |b illustrations. | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a electronic |2 isbdmedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a [IOP release $release] | |
| 490 | 1 | |a AAS-IOP astronomy. [2022 collection], |x 2514-3433 | |
| 500 | |a "Version: 202303"--Title page verso. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 1. Polar coordinates--a review -- 1.1. Fundamental definitions -- 1.2. Polar coordinate unit vectors -- 1.3. Time derivatives of polar coordinate unit vectors -- 1.4. Some useful integrals and expansions | |
| 505 | 8 | |a 2. Dynamical quantities in polar coordinates -- 2.1. Position, velocity, acceleration, angular momentum, torque, and energy -- 2.2. Uniform circular motion : a specific case of the acceleration formula | |
| 505 | 8 | |a 3. Central forces -- 3.1. The center of mass and the reduced mass -- 3.2. Central force dynamics : the potential -- 3.3. Why an inverse-square law? The sesquialterate proportion -- 3.4. Central force dynamics : conservation of angular momentum -- 3.5. Central force dynamics : integrals of the motion -- 3.6. Central force dynamics : acceleration in terms of the azimuthal angle -- 3.7. Newton's shell-point equivalency theorem | |
| 505 | 8 | |a 4. The ellipse -- 4.1. The ellipse in polar and Cartesian coordinates -- 4.2. Area of an ellipse -- 4.3. Area as a vector cross-product, and Kepler's second law -- 4.4. How did Kepler plot the orbits? -- 4.5. The optical theorem for ellipses | |
| 505 | 8 | |a 5. Elliptical orbits and the inverse-square law : geometry meets physics -- 5.1. Proof by assuming an elliptical orbit : angular momentum -- 5.2. Velocity, the vis-viva equation, and energy -- 5.3. Proof of elliptical orbits by direct integration -- 5.4. Kepler's third law -- 5.5. The time-angle equation -- 5.6. Example : an Earth-orbiting spy satellite -- 5.7. The Laplace-Runge-Lenz vector -- 5.8. Kepler's third law for non-inverse-square central forces -- 5.9. The effective potential -- 5.10. A taste of perturbation theory -- 5.11. Escape velocity | |
| 505 | 8 | |a 6. Kepler's equation : anomalies true, eccentric, and mean -- 7. Transfer and rendezvous orbits -- 7.1. The Hohmann ellipse transfer orbit -- 7.2. The Lambert problem -- 7.3. The ham sandwich throw | |
| 505 | 8 | |a 8. Some sundry results -- 8.1. Average distance of a planet from the Sun -- 8.2. Time-average orbital speed -- 8.3. Determining initial launch conditions -- 8.4. The l2 Lagrange point and the James Webb Space Telescope -- 8.5. An approximate treatment of Mercury's perihelion advance -- 8.6. A brief lesson in unit conversion -- 8.7. Orientation of Earth's orbit -- 8.8. Motion of the Sun -- 8.9. Gravitational scattering -- 8.10. Some final words | |
| 505 | 8 | |a Appendix A. Spherical coordinates -- Appendix B. Circular-orbit perturbation theory for non-inverse-square central forces -- Appendix C. Further reading -- Appendix D. Summary of useful formulae -- Appendix E. Glossary of symbols. | |
| 520 | 3 | |a Kepler's three laws of planetary motion were a stunning development in human intellectual history. This second edition is a concise, self-contained treatment of Kepler/Newton planetary orbits at the level of an advanced undergraduate physics student. New to this edition are elements such as a detailed derivation of Newton's shell-point equivalency theorem, a revised derivation of the polar equation for an ellipse, Kepler's third law for non-inverse-square central potentials, a chapter on transfer and rendezvous orbits, and an expanded treatment of methods of calculating the average distance between the Sun and a planet. The approach is student-friendly, featuring brief sections, clear notation and diagrams, and mathematics that undergraduates will be comfortable with, accompanied by numerous exercises. | |
| 521 | |a Undergraduate physics/astronomy students; higher-level students who need a compact refresher. | ||
| 530 | |a Also available in print. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 538 | |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
| 545 | |a Bruce Cameron Reed is the Charles A. Dana Professor of Physics Emeritus at Alma College, Michigan, with a 35-year career of undergraduate-level teaching in Canada and the United States. He has published around 140 regular journal papers, 60 semi-popular articles, review papers, and book reviews, plus eight texts on the Manhattan Project, quantum mechanics, and Keplerian orbits. In 2009, he was elected a Fellow of the American Physical Society. He has served as Editor of American Physical Society's "Physics & Society" newsletter for four years (2009-13), and is currently an Associate Editor with American Journal of Physics. | ||
| 588 | 0 | |a Title from PDF title page (viewed on March 31, 2023). | |
| 650 | 0 | |a Two-body problem. | |
| 650 | 0 | |a Elliptical orbits. | |
| 650 | 0 | |a Celestial mechanics. | |
| 650 | 0 | |a Kepler's laws. | |
| 650 | 7 | |a Theoretical & mathematical astronomy. |2 bicssc | |
| 650 | 7 | |a SCIENCE / Space Science / Astronomy. |2 bisacsh | |
| 710 | 2 | |a Institute of Physics (Great Britain), |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9780750356060 |z 9780750356091 |
| 830 | 0 | |a IOP (Series). |p Release 22. | |
| 830 | 0 | |a AAS-IOP astronomy. |p 2022 collection. | |
| 856 | 4 | 0 | |u https://iopscience.uam.elogim.com/book/mono/978-0-7503-5608-4 |z Texto completo |