Keplerian ellipses: the physics of the gravitational two-body problem
The development of man's understanding of planetary motions is the crown jewel of Newtonian mechanics. This book offers a concise but self-contained handbook-length treatment of this historically important topic for students at about the third-year-level of an undergraduate physics curriculum....
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
San Rafael, CA, USA
Morgan & Claypool Publishers
[2019]
Bristol, UK IOP Publishing |
| Edition: | Version: 20190501 |
| Series: | IOP concise physics
|
| Subjects: | |
| Online Access: | UBT01 Volltext |
| Summary: | The development of man's understanding of planetary motions is the crown jewel of Newtonian mechanics. This book offers a concise but self-contained handbook-length treatment of this historically important topic for students at about the third-year-level of an undergraduate physics curriculum. After opening with a review of Kepler's three laws of planetary motion, it proceeds to the analyze the general dynamics of 'central force' orbits in spherical coordinates, how elliptical orbits satisfy Newton's gravitational law, and how the geometry of ellipses relates to physical quantities, such as energy and momentum. Exercises are provided, and derivations are set up in such a way that readers can gain analytic practice by filling in the missing steps. A brief bibliography lists sources for readers who wish to pursue further study on their own |
| Physical Description: | 1 Online-Ressource (getrennte Seitenzählung) |
| ISBN: | 9781643274706 |
| DOI: | 10.1088/2053-2571/ab0303 |
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| isbn | 9781643274706 |
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| spelling | Reed, Bruce Cameron 1954- Verfasser (DE-588)1077876475 aut Keplerian ellipses the physics of the gravitational two-body problem Bruce Cameron Reed (Alma College, Alma, MI, USA) Physics of the gravitational two-body problem Version: 20190501 San Rafael, CA, USA Morgan & Claypool Publishers [2019] Bristol, UK IOP Publishing 1 Online-Ressource (getrennte Seitenzählung) txt rdacontent c rdamedia cr rdacarrier IOP concise physics The development of man's understanding of planetary motions is the crown jewel of Newtonian mechanics. This book offers a concise but self-contained handbook-length treatment of this historically important topic for students at about the third-year-level of an undergraduate physics curriculum. After opening with a review of Kepler's three laws of planetary motion, it proceeds to the analyze the general dynamics of 'central force' orbits in spherical coordinates, how elliptical orbits satisfy Newton's gravitational law, and how the geometry of ellipses relates to physical quantities, such as energy and momentum. Exercises are provided, and derivations are set up in such a way that readers can gain analytic practice by filling in the missing steps. A brief bibliography lists sources for readers who wish to pursue further study on their own Two-body problem Elliptical orbits Celestial mechanics Kepler's laws Astrophysics ; bicssc SCIENCE / Physics / Astrophysics ; bisacsh Erscheint auch als Druck-Ausgabe 978-1-64327-467-6 https://doi.org/10.1088/2053-2571/ab0303 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Reed, Bruce Cameron 1954- Keplerian ellipses the physics of the gravitational two-body problem |
| title | Keplerian ellipses the physics of the gravitational two-body problem |
| title_alt | Physics of the gravitational two-body problem |
| title_auth | Keplerian ellipses the physics of the gravitational two-body problem |
| title_exact_search | Keplerian ellipses the physics of the gravitational two-body problem |
| title_exact_search_txtP | Keplerian ellipses the physics of the gravitational two-body problem |
| title_full | Keplerian ellipses the physics of the gravitational two-body problem Bruce Cameron Reed (Alma College, Alma, MI, USA) |
| title_fullStr | Keplerian ellipses the physics of the gravitational two-body problem Bruce Cameron Reed (Alma College, Alma, MI, USA) |
| title_full_unstemmed | Keplerian ellipses the physics of the gravitational two-body problem Bruce Cameron Reed (Alma College, Alma, MI, USA) |
| title_short | Keplerian ellipses |
| title_sort | keplerian ellipses the physics of the gravitational two body problem |
| title_sub | the physics of the gravitational two-body problem |
| url | https://doi.org/10.1088/2053-2571/ab0303 |
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