Mathematical introduction to celestial mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, N.J.
Prentice-Hall
1966
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| Series: | Prentice-Hall mathematics series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 111 S. graph. Darst. |
Staff View
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| 245 | 1 | 0 | |a Mathematical introduction to celestial mechanics |c Harry Pollard |
| 264 | 1 | |a Englewood Cliffs, N.J. |b Prentice-Hall |c 1966 | |
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Record in the Search Index
| _version_ | 1804120484600610816 |
|---|---|
| adam_text | Contents
Chapter One
THE CENTRAL FORCE PROBLEM
/. Formulation of the problem 1
2. The conservation of angular momentum: Kepler s second law 2
3. The conservation of energy 3
4. The inverse square law: Kepler s first law 5
5. Relations among the constants 7
6. Orbits under non Newtonian attraction 9
7. Position on the orbit: the case h = 0 10
8. Position on the orbit: the case h =t= 0 13
9. Position on the orbit: the case h~ 0 15
10. Position on the orbit: the case h 0 16
11. Determination of the path of a particle 19
12. Expansions in elliptic motion 22
13. Elements of an orbit 23
14. The two body problem 25
15. The solar system 28
16. Disturbed motion 29
17. Disturbed motion: variation of the elements 33
18. Disturbed motion: geometric effects 35
ix
X CONTENTS
Chapter Two
INTRODUCTION TO THE n BODY PROBLEM 38
1. The basic equations: conservation of linear momentum 38
2. The conservation of energy: the Lagrange Jacobi formula 40
3. The conservation of angular momentum 42
4. Sundman s theorem on total collapse 43
5. The virial theorem 44
6. Growth of the system 45
7. The three body problem: Jacobi coordinates 47
8. The Lagrange solutions 48
9. Euler s solution 50
10. The restricted three body problem 51
11. The circular restricted problem: the Jacobi constant 53
12. Equilibrium solutions 55
13. The curves of zero velocity 58
Chapter Three
INTRODUCTION TO HAMILTON JACOBI THEORY 61
1. Canonical transformations 61
2. An application of canonical transformations 64
3. Canonical transformations generated by a function 67
4. Generating functions 69
5. Application to the central force and restricted problems 72
6. Equilibrium points and their stability 76
7. Infinitesimal stability 78
8. The characteristic roots 80
9. Conditions for stability 81
10. The stability of the libration points 83
Chapter Four
PERTURBATION THEORY 85
/. The variation of parameters 85
2. The perihelion of Mercury 88
3. First order perturbation theory 89
4. The error in first order theory 92
5. The equations of disturbed elliptic motion 94
6. The perturbation equations in analytic form 96
7. Alternative forms of the equations 99
8. An introduction to lunar theory 102
9. The periodic terms in lunar theory 105
Index 109
|
| any_adam_object | 1 |
| author | Pollard, Harry 1919-1985 |
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| callnumber-subject | QB - Astronomy |
| classification_rvk | US 1200 |
| ctrlnum | (OCoLC)530020 (DE-599)BVBBV006269513 |
| dewey-full | 521 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 521 - Celestial mechanics |
| dewey-raw | 521 |
| dewey-search | 521 |
| dewey-sort | 3521 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-09T16:42:49Z |
| institution | BVB |
| language | English |
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| physical | X, 111 S. graph. Darst. |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | Prentice-Hall |
| record_format | marc |
| series2 | Prentice-Hall mathematics series |
| spelling | Pollard, Harry 1919-1985 Verfasser (DE-588)127083162 aut Mathematical introduction to celestial mechanics Harry Pollard Englewood Cliffs, N.J. Prentice-Hall 1966 X, 111 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Prentice-Hall mathematics series Mecanique celeste obspm Mécanique céleste Celestial mechanics Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003961276&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pollard, Harry 1919-1985 Mathematical introduction to celestial mechanics Mecanique celeste obspm Mécanique céleste Celestial mechanics Himmelsmechanik (DE-588)4127484-2 gnd |
| subject_GND | (DE-588)4127484-2 |
| title | Mathematical introduction to celestial mechanics |
| title_auth | Mathematical introduction to celestial mechanics |
| title_exact_search | Mathematical introduction to celestial mechanics |
| title_full | Mathematical introduction to celestial mechanics Harry Pollard |
| title_fullStr | Mathematical introduction to celestial mechanics Harry Pollard |
| title_full_unstemmed | Mathematical introduction to celestial mechanics Harry Pollard |
| title_short | Mathematical introduction to celestial mechanics |
| title_sort | mathematical introduction to celestial mechanics |
| topic | Mecanique celeste obspm Mécanique céleste Celestial mechanics Himmelsmechanik (DE-588)4127484-2 gnd |
| topic_facet | Mecanique celeste Mécanique céleste Celestial mechanics Himmelsmechanik |
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