Lectures on the singularities of the three-body problem:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bombay
Tata Institute of Fundamental Research
1967
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| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
42 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 245, IV Blätter |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on the singularities of the three-body problem |c by C. L. Siegel ; Notes by K. Balagangadharan and M.K. Venkatesha Murthy |
| 264 | 1 | |a Bombay |b Tata Institute of Fundamental Research |c 1967 | |
| 300 | |a 245, IV Blätter | ||
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 42 | |
| 650 | 4 | |a Problème à trois corps | |
| 650 | 4 | |a Differential equations |x Numerical solutions | |
| 650 | 4 | |a Three-body problem | |
| 650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |D s |
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| 700 | 1 | |a Balagangadharan, K. |0 (DE-588)1242298738 |4 oth | |
| 700 | 1 | |a Murthy, Venkatesha |0 (DE-588)1146829841 |4 oth | |
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Record in the Search Index
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| adam_text |
C :¦ K T L N T 5
CHAPTER I THE DIFFERENTIAL EQUATIONS OF MECHANICS Page
§1. The Euler Lagrange equations . . 1
§2. The transformation theory of Hamiltonian equations 13
§3. Cauchy's theorem on the existence of solutions of
a system of ordinary differential equations 26
CHAPTER II THE THREE BODY PROBLEM: SIMPLE COLLISIONS
§1. The n body problem . 41
§2. Collisions 51
§3. Simple collisions in the case n = 3 . . 59
§4. Reduction of the differential equations of motion 69
S5. Approximate solution of the Hamilton Jacobi equation 76
§6. Regularisation of the solution of the three body
problem near a simple collision . . 87
CHAPTER III THE THREE BODY PROBLEM: GENERAL COLLISION
§1. Asymptotic estimates . . 100
§2. The limiting configuration at a general collision 114
§3. A particular solution — . 132
§4. Reduction to a rotating coordinate system — 137
§5. Stability theory of solutions of differential
equations ••• . 167
§6. Application to the three body problem . 231
Errata 244 |
| any_adam_object | 1 |
| author | Siegel, Carl Ludwig 1896-1981 |
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| author_sort | Siegel, Carl Ludwig 1896-1981 |
| author_variant | c l s cl cls |
| building | Verbundindex |
| bvnumber | BV004545695 |
| callnumber-first | Q - Science |
| callnumber-label | QA372 |
| callnumber-raw | QA372 QB362 |
| callnumber-search | QA372 QB362 |
| callnumber-sort | QA 3372 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 890 UL 5000 |
| ctrlnum | (OCoLC)627459 (DE-599)BVBBV004545695 |
| dewey-full | 530.1/44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/44 |
| dewey-search | 530.1/44 |
| dewey-sort | 3530.1 244 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV004545695 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-07T00:02:48Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002797017 |
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| physical | 245, IV Blätter |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Tata Institute of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Siegel, Carl Ludwig 1896-1981 (DE-588)119045583 aut Lectures on the singularities of the three-body problem by C. L. Siegel ; Notes by K. Balagangadharan and M.K. Venkatesha Murthy Bombay Tata Institute of Fundamental Research 1967 245, IV Blätter txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 42 Problème à trois corps Differential equations Numerical solutions Three-body problem Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Dreikörperproblem (DE-588)4012974-3 gnd rswk-swf Dreikörperproblem (DE-588)4012974-3 s Singularität Mathematik (DE-588)4077459-4 s DE-604 Balagangadharan, K. (DE-588)1242298738 oth Murthy, Venkatesha (DE-588)1146829841 oth Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 42 (DE-604)BV000015654 42 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797017&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Siegel, Carl Ludwig 1896-1981 Lectures on the singularities of the three-body problem Problème à trois corps Differential equations Numerical solutions Three-body problem Singularität Mathematik (DE-588)4077459-4 gnd Dreikörperproblem (DE-588)4012974-3 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4012974-3 |
| title | Lectures on the singularities of the three-body problem |
| title_auth | Lectures on the singularities of the three-body problem |
| title_exact_search | Lectures on the singularities of the three-body problem |
| title_full | Lectures on the singularities of the three-body problem by C. L. Siegel ; Notes by K. Balagangadharan and M.K. Venkatesha Murthy |
| title_fullStr | Lectures on the singularities of the three-body problem by C. L. Siegel ; Notes by K. Balagangadharan and M.K. Venkatesha Murthy |
| title_full_unstemmed | Lectures on the singularities of the three-body problem by C. L. Siegel ; Notes by K. Balagangadharan and M.K. Venkatesha Murthy |
| title_short | Lectures on the singularities of the three-body problem |
| title_sort | lectures on the singularities of the three body problem |
| topic | Problème à trois corps Differential equations Numerical solutions Three-body problem Singularität Mathematik (DE-588)4077459-4 gnd Dreikörperproblem (DE-588)4012974-3 gnd |
| topic_facet | Problème à trois corps Differential equations Numerical solutions Three-body problem Singularität Mathematik Dreikörperproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797017&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
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