The Few Body Problem: Proceedings of the 96th Colloquium of the International Astronomical Union Held in Turku, Finland, June 14–19, 1987Mauri 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. |
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 |
421 | |
429 | |
Otras ediciones - Ver todas
The Few Body Problem: Proceedings of the 96th Colloquium of the ... M.J. Valtonen Vista previa limitada - 2012 |
The Few Body Problem: Proceedings of the 96th Colloquium of the ... Mauri Valtonen Sin vista previa disponible - 2011 |
Términos y frases comunes
1988 by Kluwer Aarseth Alladin analytical Anosova asteroid Astron Astrophys axis B-frame Body Problem Byrd calculations Celestial Mechanics chaotic motions circular orbits close encounters collision comets component configurations Contopoulos corresponding curve disk galaxies distribution dynamical dynamical friction eccentricity effect elliptic energy equations of motion escape evolution families Figure frequencies function galactic globular clusters gravitational Hadjidemetriou halo Hamiltonian Heggie inclination initial conditions inner binary interacting galaxies interactions Jupiter Kluwer Academic Publishers Lagrangian points libration M. J. Valtonen m₁ mass mean motion Mech merger method Mikkola Milani numerical integration obtained orbital period outer parameters particles pericentre periodic orbits perturbation phase space planetary planets potential radius ratio region Reidel resonance ring rotation satellites secular secular resonance semimajor axes simulations solar system solutions spiral stability stars stellar systems Szebehely theory three-body problem tidal trajectory transformation triple systems two-body unstable values variation velocity
Pasajes populares
Página ii - ASTROPHYSICS AND SPACE SCIENCE LIBRARY A SERIES OF BOOKS ON THE RECENT DEVELOPMENTS OF SPACE SCIENCE AND OF GENERAL GEOPHYSICS AND ASTROPHYSICS PUBLISHED IN CONNECTION WITH THE JOURNAL SPACE SCIENCE REVIEWS Editorial Board RLF BOYD, University College, London, England WB BURTON, Sterrewacht, Leiden, The Netherlands L.
Página 1 - I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Página 1 - If I have seen further it is by standing on ye shoulders of Giants.