The Few Body Problem: Proceedings of the 96th Colloquium of the International Astronomical Union Held in Turku, Finland, June 14–19, 1987

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Mauri Valtonen
Springer Science & Business Media, 1988 M03 31 - 432 páginas
th Coinciding with the 300 anniversary of the publication of Newton's Principia The International Astronomical Union organized the colloquium No. 96 "The Few Body Problem" in Turku, Finland, June 14.-19.1987. It provided an opportunity to review the progress in the very field which caused Newton a headache, as Victor Szebehely reminded the audience in his introductory remarks. It is a measure of the difficulty and complication of the few body problem that even after 300 years so many aspects of the problem are still unsolved. To quote Szebehely again, "Sir Isaac established the rules, Poincare presented the challenges". Many of these challenges are reviewed in the present proceedings. The gravitational few body problem cuts across the borders of established disciplines. The participants of the colloquium came from departments as different as Aerospace Engineering, Astronomy, Theoretical Physics, Physics, Mathematics, Applied Mathematics, Computer Science, Planetology, Geodesy, Celestial Mechanics and Space Science. The few body problem is a problem of practical significance in many fields and the main aim of the colloquium was to bring together people with research interests in this area, many of whom normally attend different conferences.
 

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Contenido

QUALITATIVE ANALYSIS IN THE FEWBODY PROBLEM
5
A CLASSIFICATION OF MOTION TYPES IN THE GENERAL THREEBODY PROBLEM
27
PERIODIC ORBITS AND STABILITY
31
THE EFFECT OF PERTURBING POTENTIALS ON HILLS STABLE RANGE IN RESTRICTED THREEBODY PROBLEM
49
A DISCRETIZATION METHOD
55
NONINTEGRABIL1TY OF THREE BODY PROBLEMS WITH HOMOGENEOUS POTENTIAL
61
ON THE EXISTENCE OF SOME CONFIGURATIONS OP RELATIVE EQUILIBRIUM IN THE NBODY PROBLEM
65
ROTATIONAL MOTION OF A RIGID BODY IN AN ORBIT OF THE THREE BODY PROBLEM
69
INFLUENCE OF A HYPERBOLIC FLYBY OF A SMALL MASS ON THE ORBITAL EVOLUTION OF A MASSIVE BINARY
231
NUMERICAL INVESTIGATION OF THE ORBITAL EVOLUTION OF A MASSIVE BINARY IN THE FIELD OF SMALL MASSES
233
ENERGY EXCHANGE IN A PARABOLIC THREEBODY ENCOUNTER
239
THE STELLAR PROBLEM OF THREE BODIES AND APPLICATIONS
243
THE TRIPLEESCAPE FUNCTION BEHAVIOUR FOR SMALL ENERGY SYSTEMS
249
DYNAMICAL EVOLUTION OF DOUBLE AND TRIPLE SUBSYSTEMS IN THE NBODY SYSTEMS
253
MULTIPLE STARS IN THE SOLAR NEIGHBOURHOOD
257
ON THE EFFECTS OF UNEQUAL MASSES IN THE STATISTICS OF THREE AND FOURBODY INTERACTIONS
261

POSSIBILITY OF EXCHANGE OF A RECTILINEAR THREEBODY SYSTEM WITH ZERO ENERGY
73
ESCAPE IN THE THREEBODY PROBLEM WITH TWO DEGREES OF FREEDOM RECTILINEAR CASE AND ISOSCELES CASE
77
An analysis with Computer Algebra
81
A PERTURBATIVE METHOD FOR PROBLEMS WITH TWO CRITICAL ARGUMENTS
85
GENERALIZED HAMILTONS PRINCIPLE AND ITS APPLICATION
87
ROUND TABLE DISCUSSION ON CHAOTIC MOTIONS
91
SOLAR SYSTEM
99
ASTEROID FAMILIES
101
ON THE ORIGIN OF 52 KIRKWOOD GAP
117
THE SECULAR RESONANCE 𝓿₁₆
123
THE 21 JOVIAN RESONANCE IN THE ELLIPTIC PROBLEM
129
32 COMMENSURABILITY
131
THE PROBLEM OF EVOLUTION ON ORBITAL RESONANCE
135
STABILITY OF THE PLANETARY TRIANGULAR LAGRANGIAN POINTS
141
LONGTERM ORBITAL EVOLUTION STUDIES OF ATENAPOLLOAMOR OBJECTS
143
LONG TERM DYNAMICS OF THE OUTER SOLAR SYSTEM REVIEW OF LONGSTOP PROJECT
147
SECULAR VARIATIONS OF THE SEMIMAJOR AXES Of THE PLANETS
165
HIGHERORDER NUMERICAL SECULAR PLANETARY THEORY
171
NUMERICAL SIMULATIONS OF RING DYNAMICS
175
DYNAMICS OF COORBITAL SATELLITE RINGS
179
ORBITAL ENERGY TRANSFER IN EXACTLY COMMENSURATE SATELLITES
185
CAPTURE OF COMETS AS TEMPORARY SATELLITES OF JUPITER
191
INFLUENCE OF CLOSE ENCOUNTERS ON THE DETERMINATION OF COMETARY ORBITS
195
PASSAGE OF THE SUN THROUGH AN INTERSTELLAR NEBULA AND THE OORT CLOUD COMETS
201
MOTION OF SATELLITES THE CHOICE OF REFERENCE FRAMES
207
STELLAR SYSTEMS
211
THE SCATTERING PROBLEM
213
ESCAPES FROM STELLAR SYSTEMS
265
THE FORCE DISTRIBUTION FOR CLOSE ENCOUNTERS
275
MASS TRANSFERRING BINARIES IN HIERARCHICAL TRIPLES
279
ON SOUS STABILITY REGIONS IN THE THREEBODY PROBLEM
283
INTEGRATION METHODS FOR SMALL NBODY SYSTEMS
287
A NUMERICAL EXPERIMENTERS VIEW OF THE FEWBODY PROBLEM
309
RELAXATION IN SMALL NBODY SYSTEMS
313
LONGTERM EVOLUTION OF CORES OF GLOBULAR CLUSTERS AFTER CORE COLLAPSE
319
MULTIPLE GALAXIES
325
THE MERGER TIME OF INTERACTING GALAXIES
327
ORBITAL DECAY IN NONSPHERICAL GALAXIES
349
CLUSTER INFLUENCES ON THE INTERNAL DYNAMICS OF A GALAXY
353
TIDAL STRIPPING AND ACCRETION IN COLLAPSING CLUSTERS OF GALAXIES
361
CLOSE APPROACHES AND COALESCENCE IN THE TRIPLE SYSTEMS OF GRAVITATING MASSES
367
TIDAL INTERACTION OF SMALL SATELLITE GALAXIES WITH SPIRAL PRIMARIES
371
INELASTIC COLLISIONS IN MODELS OF DISK GALAXIES
387
INFLUENCE OF GAS MOTION ON STAR FORMATION IN THE CENTRAL REGION OF A DISK GALAXY
391
NUMERICAL SIMULATIONS OF MASSIVE EJECTIONS FROM GALACTIC NUCLEI
397
FORMATION OF BRIDGES AND TAILS IN INTERACTING GALAXIES
401
BAR FORMATION IN INTERACTING GALAXIES
405
THE POLAR RING GALAXY NGC 4650A
409
A COMPUTATIONAL METHOD FOR GALAXY INTERACTIONS
413
Some Aspects of Chaotic Behavior in the Solar System
417
INDEX OF NAMES
421
INDEX OF SUBJECTS
429
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