The restricted 3-body problem: plane periodic orbits:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
de Gruyter
1994
|
| Schriftenreihe: | De Gruyter expositions in mathematics
17 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | XIV, 362 S. graph. Darst. |
| ISBN: | 3110137038 |
Internformat
MARC
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| 100 | 1 | |a Brjuno, Aleksandr Dmitrievič |d 1940- |e Verfasser |0 (DE-588)102807994X |4 aut | |
| 240 | 1 | 0 | |a Organičennaja zadača trech tel |
| 245 | 1 | 0 | |a The restricted 3-body problem: plane periodic orbits |c by Alexander D. Bruno |
| 264 | 1 | |a Berlin u.a. |b de Gruyter |c 1994 | |
| 300 | |a XIV, 362 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter expositions in mathematics |v 17 | |
| 500 | |a Aus dem Russ. übers. | ||
| 650 | 4 | |a Hamiltonsches System - Eingeschränktes Dreikörperproblem | |
| 650 | 0 | 7 | |a Hamiltonsches System |0 (DE-588)4139943-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eingeschränktes Dreikörperproblem |0 (DE-588)4268659-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hamiltonsches System |0 (DE-588)4139943-2 |D s |
| 689 | 0 | 1 | |a Eingeschränktes Dreikörperproblem |0 (DE-588)4268659-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a De Gruyter expositions in mathematics |v 17 |w (DE-604)BV004069300 |9 17 | |
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Datensatz im Suchindex
| _version_ | 1805067066481311744 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
PREFACE
V
BASIC
NOTATION
XI
INTRODUCTION
1
PART
I
MATHEMATICAL
MEANS
11
CHAPTER
1
THE
NORMAL
FORM
OF
A
HAMILTONIAN
SYSTEM
13
1
THE
NORMAL
FORM
OF
A
LINEAR
SYSTEM
14
2
NONLINEAR
NORMALIZATION
25
3
LOWERING
THE
NUMBER
OF
DEGREES
OF
FREEDOM
35
4
PERIODIC
AND
CONDITIONALLY-PERIODIC
SOLUTIONS
40
5
GENERALIZATIONS
44
6
NOTES
48
CHAPTER
II
NORMALIZATION
OF
A
HAMILTONIAN
SYSTEM
NEAR
A
CYCLE
OR
A
TORUS
54
1
THE
NORMAL
FORM
OF
A
LINEAR
HAMILTONIAN
SYSTEM
WITH
PERIODIC
COEFFICIENTS
54
2
THE
NORMAL
FORM
IN
A
NEIGHBOURHOOD
OF
A
PERIODIC
SOLUTION
62
3
THE
NEIGHBOURHOOD
OF
AN
INVARIANT
TORUS
75
4
A
SYSTEM
WITH
TWO
DEGREES
OF
FREEDOM
80
5
NOTES
87
VIII
TABLE
OF
CONTENTS
PART
II
SOLUTIONS
OF
THE
LIMITING
PROBLEM
(JI
=
0)
93
CHAPTER
III
PERIODIC
SOLUTIONS
AND
ARC
SOLUTIONS
95
1
FORMULATION
OF
THE
RESTRICTED
THREE-BODY
PROBLEM
95
2
THE
TWO-BODY
PROBLEM
97
3
THE
RESTRICTED
THREE-BODY
PROBLEM
FOR
P,
=
0
113
4
NOTES
132
CHAPTER
IV
PROPERTIES
OF
ARC
SOLUTIONS
OF
THE
FAMILIES
S
AND
T
N
133
1
ORBITS
OF
THE
FAMILIES
S
133
2
THE
STRUCTURE
OF
THE
SET
OF
CHARACTERISTICS
OF
THE
FAMILIES
S
AND
T
N
152
3
VALUES
OF
THE
JACOBIAN
CONSTANT
168
4
NOTES
176
CHAPTER
V
EXTREMA
OF
THE
HAMILTONIAN
FUNCTION
ON
FAMILIES
OF
ARC
SOLUTIONS
178
1
THE
FUNCTION
G
178
2
PARTIAL
DERIVATIVES
OF
THE
FUNCTION
G
182
3
CLASSIFICATION
OF
THE
SEGMENTS
OF
THE
CHARACTERISTICS
186
4
ESTIMATION
OF
THE
NUMBER
OF
INTERSECTIONS
OF
A
SEGMENT
OF
A
CHARACTERISTIC
WITH
A
LEVEL
LINE
OF
THE
FUNCTION
G
187
5
THE
DOMAIN
190
6
CONCLUSION
193
CHAPTER
VI
TRAJECTORIES
OF
COLLISIONS
194
1
THE
PROBLEM
OF
TWO
BODIES
PI
AND
P3
195
2
TRAJECTORIES
OF
COLLISION
WITH
P2
206
3
ARC
SOLUTIONS
WITH
CONSECUTIVE
COLLISIONS
222
4
ISOLATION
OF
CRITICAL
SOLUTIONS
228
5
NOTES
230
TABLE
OF
CONTENTS
IX
PART
III
REGULAR
GENERATING
SOLUTIONS
233
CHAPTER
VII
SOLUTIONS
OF
THE
SECOND
KIND
235
1
SETS
OF
PERIODIC
SOLUTIONS
235
2
THE
RESTRICTED
THREE-BODY
PROBLEM
242
3
AVERAGING
OF
THE
PERTURBING
FUNCTION
245
4
COMPUTATION
OF
GENERATING
FAMILIES
249
5
CONCERNING
THE
PROGRAMS
253
6
OTHER
PROPERTIES
OF
THE
FAMILIES
E
N
254
7
LIMITS
OF
GENERATING
FAMILIES
255
8
CONDITIONALLY-PERIODIC
SOLUTIONS
OF
THE
SECOND
KIND
262
9
NOTES
263
CHAPTER
VIII
SOLUTIONS
OF
THE
FIRST
KIND
266
1
REDUCTION
TO
THE
NORMAL
FORM
266
2
INTEGRATION
OF
THE
NORMAL
FORM
FOR
RATIONAL
A
=
P/Q
275
3
APPLICATION
TO
THE
RESTRICTED
PROBLEM
283
4
CONCLUSION
288
5
THE
NEIGHBOURHOOD
OF
STATIONARY
POINTS
290
6
NOTES
295
CHAPTER
IX
GENERATING
ARC
SOLUTIONS
FROM
C\C\
298
1
GENERATING
SOLUTIONS
OF
COLLISIONS
WITH
P\
298
2
COMPUTATION
OF
FAMILIES
OF
GENERATING
ARC
SOLUTIONS
305
3
ASYMPTOTICS
OF
FAMILIES
OF
GENERATING
ARC
SOLUTIONS
310
4
CONCERNING
PERIODIC
SOLUTIONS
WITH
COLLISIONS
314
5
NOTES
315
X
TABLE
OF
CONTENTS
CHAPTER
X
PERTURBATIONS
OF
HYPERBOLIC
ORBITS
317
1
THE
NORMAL
FORM
317
2
APPLICATION
TO
THE
RESTRICTED
PROBLEM
321
3
NOTES
325
APPENDIX
TABLES
OF
GENERATING
FAMILIES
AND
THEIR
PERTURBATIONS
327
BIBLIOGRAPHY
347
AUTHOR
INDEX
357
SUBJECT
INDEX
359 |
| any_adam_object | 1 |
| author | Brjuno, Aleksandr Dmitrievič 1940- |
| author_GND | (DE-588)102807994X |
| author_facet | Brjuno, Aleksandr Dmitrievič 1940- |
| author_role | aut |
| author_sort | Brjuno, Aleksandr Dmitrievič 1940- |
| author_variant | a d b ad adb |
| building | Verbundindex |
| bvnumber | BV009758917 |
| classification_rvk | SK 950 UL 5000 |
| classification_tum | PHY 201f |
| ctrlnum | (OCoLC)246790281 (DE-599)BVBBV009758917 |
| dewey-full | 514/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.74 |
| dewey-search | 514/.74 |
| dewey-sort | 3514 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV009758917 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:28:19Z |
| institution | BVB |
| isbn | 3110137038 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006455520 |
| oclc_num | 246790281 |
| open_access_boolean | |
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| owner_facet | DE-29T DE-91G DE-BY-TUM DE-20 DE-19 DE-BY-UBM DE-634 DE-188 DE-384 |
| physical | XIV, 362 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | de Gruyter |
| record_format | marc |
| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| spelling | Brjuno, Aleksandr Dmitrievič 1940- Verfasser (DE-588)102807994X aut Organičennaja zadača trech tel The restricted 3-body problem: plane periodic orbits by Alexander D. Bruno Berlin u.a. de Gruyter 1994 XIV, 362 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics 17 Aus dem Russ. übers. Hamiltonsches System - Eingeschränktes Dreikörperproblem Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Eingeschränktes Dreikörperproblem (DE-588)4268659-3 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Eingeschränktes Dreikörperproblem (DE-588)4268659-3 s DE-604 De Gruyter expositions in mathematics 17 (DE-604)BV004069300 17 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006455520&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brjuno, Aleksandr Dmitrievič 1940- The restricted 3-body problem: plane periodic orbits De Gruyter expositions in mathematics Hamiltonsches System - Eingeschränktes Dreikörperproblem Hamiltonsches System (DE-588)4139943-2 gnd Eingeschränktes Dreikörperproblem (DE-588)4268659-3 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4268659-3 |
| title | The restricted 3-body problem: plane periodic orbits |
| title_alt | Organičennaja zadača trech tel |
| title_auth | The restricted 3-body problem: plane periodic orbits |
| title_exact_search | The restricted 3-body problem: plane periodic orbits |
| title_full | The restricted 3-body problem: plane periodic orbits by Alexander D. Bruno |
| title_fullStr | The restricted 3-body problem: plane periodic orbits by Alexander D. Bruno |
| title_full_unstemmed | The restricted 3-body problem: plane periodic orbits by Alexander D. Bruno |
| title_short | The restricted 3-body problem: plane periodic orbits |
| title_sort | the restricted 3 body problem plane periodic orbits |
| topic | Hamiltonsches System - Eingeschränktes Dreikörperproblem Hamiltonsches System (DE-588)4139943-2 gnd Eingeschränktes Dreikörperproblem (DE-588)4268659-3 gnd |
| topic_facet | Hamiltonsches System - Eingeschränktes Dreikörperproblem Hamiltonsches System Eingeschränktes Dreikörperproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006455520&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004069300 |
| work_keys_str_mv | AT brjunoaleksandrdmitrievic organicennajazadacatrechtel AT brjunoaleksandrdmitrievic therestricted3bodyproblemplaneperiodicorbits |