Gravitational N-Body Simulations
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[1] H. Couchman,et al. Mesh-refined P3M - A fast adaptive N-body algorithm , 1991 .
[2] Rainer Spurzem,et al. Anisotropic gaseous models for the evolution of star clusters , 1991 .
[3] Melvyn B. Davies,et al. Planetary dynamics in stellar clusters , 2001 .
[4] J. R. Hurley,et al. Comprehensive analytic formulae for stellar evolution as a function of mass and metallicity , 2000, astro-ph/0001295.
[5] R. D. L. F. Marcos. The Initial Mass Function and the Dynamical Evolution of Open Clusters. IV. Realistic Systems , 1997, astro-ph/9701003.
[6] Jeremiah P. Ostriker,et al. ON THE DYNAMICAL EVOLUTION OF CLUSTERS OF GALAXIES , 1978 .
[7] S. Tremaine,et al. Rates of tidal disruption of stars by massive central black holes , 1999, astro-ph/9902032.
[8] Junichiro Makino,et al. Star cluster evolution with primordial binaries. II, Detailed analysis , 1991 .
[9] Toshikazu Ebisuzaki,et al. UvA-DARE ( Digital Academic Repository ) Missing Link Found ? The " Runaway " Path to Supermassive Black Holes , 2001 .
[10] D. Heggie,et al. Gravothermal expansion in an N-body system , 1993, astro-ph/9308046.
[11] P. Podsiadlowski. The response of tidally heated stars , 1996 .
[12] J. Laskar. Large-scale chaos in the solar system. , 1994 .
[13] Douglas C. Heggie. The gravitational million-body problem , 2001 .
[14] M. Hénon,et al. Two Recent Developments Concerning the Monte Carlo Method , 1975 .
[15] J. Hills,et al. Computer simulations of close encounters between single stars and hard binaries , 1980 .
[16] Victor Szebehely,et al. Time transformations in the extended phase-space , 1975 .
[17] 伊藤 誠. Gravitational clustering of galaxies : comparison between thermodynamic theory and N-body simulations , 1990 .
[18] P. Hut,et al. Star cluster ecology III: Runaway collisions in young compact star clusters , 1998, astro-ph/9812006.
[19] Joerg Waldvogel,et al. A new regularization of the planar problem of three bodies , 1972 .
[20] J. Hurley. Nuclear and dynamical evolution of stellar systems , 2000 .
[21] Stephen L. W. McMillan,et al. A unified N-body and statistical treatment of stellar dynamics. I - The hybrid code. II - Applications to globular cluster cores , 1984 .
[22] P. Hut. Binary-single star scattering. II: Analytic approximations for high velocity , 1983 .
[23] Dynamical evolution of elliptical galaxies with central singularities , 1997, astro-ph/9709106.
[24] M. Giersz,et al. A stochastic Monte Carlo approach to modelling real star cluster evolution - III. Direct integration of three- and four-body interactions , 2003, astro-ph/0301643.
[25] B. Mason,et al. The Quadruple System μ Orionis: Three-dimensional Orbit and Physical Parameters , 2002 .
[26] S. M. Fall,et al. Hubble Space Telescope Observations of NGC 121: First Detection of Blue Stragglers in an Extragalactic Globular Cluster , 1998 .
[27] R. Mathieu,et al. Random gravitational encounters and the evolution of spherical systems. VIII. Clusters with an initial distribution of binaries , 1980 .
[28] S. Aarseth,et al. A numerical simulation of the formation of the terrestrial planets , 1986 .
[29] S. J. Aarseth,et al. Dynamical Evolution of Clusters Of Galaxies, II , 1963 .
[30] B. Chirikov. A universal instability of many-dimensional oscillator systems , 1979 .
[31] The formation of a bound star cluster: from the orion nebula cluster to the pleiades , 2000, astro-ph/0009470.
[32] M. Duncan,et al. Runaway Stars from Young Star Clusters Containing Initial Binaries. II. A Mass Spectrum and a Binary Energy Spectrum , 1990 .
[33] D. Richardson,et al. Tree code simulations of planetary rings , 1994 .
[34] Treatment of Close Approaches in the Numerical Integration of the Gravitational Problem of N Bodies , 1971 .
[35] Black hole binary dynamics , 2002, astro-ph/0210116.
[36] C. Burrau. Numerische Berechnung eines Spezialfalles des Dreikörperproblems , 2022 .
[37] J. Hills. Effect of Intruder Mass on Collisions with Hard Binaries. I. Zero-Impact Parameter , 1988 .
[38] L. Spitzer,et al. Random gravitational encounters and the evolution of spherical systems. VI. Plummer's model. , 1975 .
[39] Destruction of the Galactic Globular Cluster System , 1996, astro-ph/9603042.
[40] Regularization Using a Time-Transformation Only , 1973 .
[41] E. Terlevich. Evolution of N-body open clusters , 1987 .
[42] Junichiro Makino,et al. Dynamical evolution of star clusters in tidal fields , 2003 .
[43] A Note on Stabilization in Three-Body Regularization , 1976 .
[44] Integration of the N body gravitational problem by separation of the force into a near and a far component , 1974 .
[45] I. Chandrasekhar. The Time of Relaxation of Stellar Systems. , 1941 .
[46] Toshikazu Ebisuzaki,et al. A special-purpose computer for gravitational many-body problems , 1990, Nature.
[47] V. Springel,et al. GADGET: a code for collisionless and gasdynamical cosmological simulations , 2000, astro-ph/0003162.
[48] S. Mikkola,et al. Explicit Symplectic Algorithms For Time‐Transformed Hamiltonians , 1999 .
[49] J. Schubart. Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem , 1956 .
[50] S. Mikkola,et al. Solar system chaos and the distribution of asteroid orbits , 1995 .
[51] Brett Gladman,et al. Dynamics of Systems of Two Close Planets , 1993 .
[52] C. Norman,et al. Galaxy collisions and their influence on the dynamics and evolution of groups and clusters of galaxies , 1979 .
[53] R. Webbink. Double white dwarfs as progenitors of R Coronae Borealis stars and type I supernovae , 1984 .
[54] Toshikazu Ebisuzaki,et al. GRAPE-4: A Massively Parallel Special-Purpose Computer for Collisional N-Body Simulations , 1997 .
[55] Rainer Spurzem,et al. Direct collisional simulation of 10000 particles past core collapse , 1996 .
[56] M. Lee. N-body evolution of dense clusters of compact stars , 1993 .
[57] J. W. Eastwood,et al. On the clustering of particles in an expanding Universe , 1981 .
[58] V. Orlov,et al. Influence of rotation on the evolution of triple systems , 1984 .
[59] Peter P. Eggleton,et al. The Equilibrium Tide Model for Tidal Friction , 1998, astro-ph/9801246.
[60] Hierarchical Systems in Open Clusters , 1997, astro-ph/9701022.
[61] Takashi Ito,et al. Long-term integrations and stability of planetary orbits in our Solar system , 2002 .
[62] M. Valtonen. Statistics of three-body experiments: Escape energy, velocity and final binary eccentricity , 1976 .
[63] M. Hénon. RATES OF ESCAPE FROM ISOLATED CLUSTERS WITH AN ARBITRARY MASS DISTRIBUTION. , 1969 .
[64] Sverre J. Aarseth,et al. Vectorization of N-body codes , 1986 .
[65] E. M. StandishJr.. Sufficient conditions for escape in the three-body problem , 1971 .
[66] J. Hills. Encounters between Single and Binary Stars: The Effect of Intruder Mass on the Maximum Impact Velocity for Which the Mean Change in Binding Energy is Positive , 1990 .
[67] S. Goodwin. Residual gas expulsion from young globular clusters , 1996, astro-ph/9607083.
[68] University of Bern,et al. A new Monte Carlo code for star cluster simulations - II. Central black hole and stellar collisions , 2002 .
[69] Piet Hut,et al. Star cluster evolution with primordial binaries. 3: Effect of the Galactic tidal field , 1994 .
[70] J. Makino,et al. Collisional Stellar Dynamics, Gas Dynamics and Special Purpose Computing , 2002 .
[71] Steinn Sigurdsson,et al. Binary-single star interactions in globular clusters , 1993 .
[72] P. Hut,et al. The Lives and Deaths of Star Clusters near the Galactic Center , 2001, astro-ph/0102259.
[73] J. Stadel,et al. High Performance Computational Astrophysics with PKDGRAV/Gasoline , 2002 .
[74] D. Heggie,et al. Statistics of N-body simulations — IV. Unequal masses with a tidal field , 1997 .
[75] Jarrod R. Hurley,et al. Star clusters as Type Ia supernova factories , 2001 .
[76] L. Marschall,et al. CCD photometry of the old open cluster M67 , 1993 .
[77] M. Giersz. Monte Carlo simulations of star clusters – II. Tidally limited, multimass systems with stellar evolution , 2000, astro-ph/0009341.
[78] J. Lissauer,et al. Stability Analysis of the Planetary System Orbiting υ Andromedae , 2001 .
[79] Stability Analysis of the Planetary System Orbiting υ Andromedae. II. Simulations Using New Lick Observatory Fits , 2001 .
[80] S. J. Aarseth,et al. N-body simulations of galaxy clustering. III. The covariance function , 1979 .
[81] Junichiro Makino,et al. Effect of Suprathermal Particles on Gravothermal Oscillation , 1987 .
[82] A. Sandage. The color-magnitude diagram for the globular cluster M 3. , 1953 .
[83] Kenneth R. Lang,et al. Astrophysical Data : Planets and Stars , 1992 .
[84] Tucson,et al. The White Dwarf Deficit in Open Clusters: Dynamical Processes , 2003 .
[85] Junichiro Makino,et al. Optimal order and time-step criterion for Aarseth-type N-body integrators , 1991 .
[86] M. Morris,et al. N-Body Simulations of Compact Young Clusters near the Galactic Center , 2000, astro-ph/0008441.
[87] M. Shara,et al. White Dwarf Sequences in Dense Star Clusters , 2003, astro-ph/0302119.
[88] P. P. Eggleton,et al. On the consequences of the gravothermal catastrophe , 1980 .
[89] T. Ebisuzaki,et al. Merging of Galaxies with Central Black Holes. I. Hierarchical Mergings of Equal-Mass Galaxies , 1996 .
[90] Pavel Kroupa. Star cluster evolution, dynamical age estimation and the kinematical signature of star formation , 1995 .
[91] Sverre J. Aarseth,et al. Computer Simulations of Stellar Systems , 1975 .
[92] W. Benz,et al. Three-dimensional hydrodynamical simulations of colliding stars. III: Collisions and tidal captures of unequal-mass main-sequence stars , 1992 .
[93] Constraints on the Birth Aggregate of the Solar System , 2000, astro-ph/0011326.
[94] D. Lin,et al. Calculating the Tidal, Spin, and Dynamical Evolution of Extrasolar Planetary Systems , 2002 .
[95] M. Henon. Sur l'évolution dynamique des amas globulaires , 1961 .
[96] J. Stoer,et al. Numerical treatment of ordinary differential equations by extrapolation methods , 1966 .
[97] C. Lada,et al. The formation and early dynamical evolution of bound stellar systems. , 1984 .
[98] R. Durisen,et al. Escape of T Tauri stars from young stellar systems. , 1995 .
[99] W. H. Press,et al. On formation of close binaries by two-body tidal capture , 1977 .
[100] California Institute of Technology,et al. The Pulsar kick velocity distribution , 1997, astro-ph/9708071.
[101] D. Heggie,et al. The probability of binary formation by three-body encounters. , 1976 .
[102] Junichiro Makino,et al. A Modified Aarseth Code for GRAPE and Vector Processors , 1991 .
[103] J. Gott,et al. N-body simulations of galaxy clustering. I. Initial conditions and galaxy collapse times , 1979 .
[104] R. Durisen,et al. THE DYNAMIC DECAY OF YOUNG FEW-BODY STELLAR SYSTEMS.I. THE EFFECT OF A MASS SPECTRUM FOR N = 3, 4, AND 5 , 1998 .
[105] S. Love,et al. Tidal Distortion and Disruption of Earth-Crossing Asteroids , 1997 .
[106] G. Sussman,et al. Numerical Evidence That the Motion of Pluto Is Chaotic , 1988, Science.
[107] S. Aarseth,et al. The formation of the terrestrial planets from lunar sized planetesimals , 1984 .
[108] S. Aarseth. Integration Methods for Small N-Body Systems , 1988 .
[109] S. McMillan,et al. A unified N-body and statistical treatment of stellar dynamics. I - The hybrid code. II - Applications to globular cluster cores , 1984 .
[110] I. Bonnell,et al. Mass segregation in young stellar clusters , 1998 .
[111] J. Wisdom,et al. Symplectic maps for the N-body problem. , 1991 .
[112] M. Freitag,et al. A new Monte Carlo code for star cluster simulations - I. Relaxation , 2001, astro-ph/0102139.
[113] V. Szebehely. Classification of the motions of three bodies in a plane , 1971 .
[114] M. Bolte,et al. Hubble Space Telescope Observations of the Oldest Star Clusters in the Large Magellanic Cloud , 1999, astro-ph/9911187.
[115] R. D. L. F. Marcos,et al. On the dynamical evolution of the brown dwarf populationin open clusters , 2000 .
[116] S. Aarseth. Star Cluster Simulations on HARP , 1996 .
[117] S. Inagaki,et al. Equipartition in multicomponent gravitational systems , 1985 .
[118] B. Paczynacuteski. The Binary Stars , 1919, Nature.
[119] Lars Hernquist,et al. The dynamical evolution of massive black hole binaries — II. Self-consistent N-body integrations , 1997 .
[120] W. L. Sweatman. The development of a parallel N -body code for the Edinburgh concurrent supercomputer , 1994 .
[121] S. Rosseland. Astronomy and Cosmogony , 1928, Nature.
[122] D. Lin,et al. On the collapse and violent relaxation of protoglobular clusters , 1988 .
[123] J. Monaghan,et al. A Statistical Theory of the Disruption of Three-Body Systems — II: High Angular Momentum , 1976 .
[124] S. Aarseth,et al. Global chaoticity in the Pythagorean three-body problem , 1994 .
[125] C. Allen,et al. On the reproducibility of run-away stars formed in collapsing clusters , 1971 .
[126] E. Milone,et al. The origins, evolution, and destinies of binary stars in clusters , 1996 .
[127] R. Mardling. Tidal Capture Binaries in Clusters: The Chaos Model for Tidal Evolution , 1996 .
[128] J. Hills. Effect of intruder mass on collisions with hard binaries. II - Dependence on impact parameter and computations of the interaction cross sections , 1992 .
[129] M. Valtonen. The general three-body problem in astrophysics. , 1988 .
[130] J. Bruijne,et al. On the origin of the o and b-type stars with high velocities II runaway stars and pulsars ejected from the nearby young stellar groups , 2000, astro-ph/0010057.
[131] John Dubinski. A parallel tree code , 1996 .
[132] D. Heggie,et al. On the effects of dynamical evolution on the initial mass function of globular clusters , 1997, astro-ph/9705073.
[133] R. Mardling. A New Formalism for Studying Three-Body Interactions , 2003 .
[134] Institute for Advanced Study,et al. Time-Symmetrized Kustaanheimo-Stiefel Regularization , 1996, astro-ph/9604025.
[135] P. Nacozy. The use of integrals in numerical integrations of theN-body problem , 1971 .
[136] D. Heggie,et al. Escape from a tidally limited star cluster , 1997 .
[137] J. Makino,et al. N-body simulation of gravitational interaction between planetesimals and a protoplanet II. Dynamical friction , 1992 .
[138] JOHN S. Lewis,et al. Numerical simulation of the final stages of terrestrial planet formation. , 1980 .
[139] D. Heggie,et al. Statistics of N-body simulations – I. Equal masses before core collapse , 1993, astro-ph/9305008.
[140] M. Livio,et al. The First Direct Measurement of the Mass of a Blue Straggler in the Core of a Globular Cluster: BSS 19 in 47 Tucanae , 1997 .
[141] S. Aarseth. Direct N-Body Calculations , 1985 .
[142] W. Sweatman,et al. The Symmetrical One-dimensional Newtonian Four-body Problem: A Numerical Investigation , 2002 .
[143] H. Salo. Gravitational wakes in Saturn's rings , 1992, Nature.
[144] D. Heggie,et al. Dynamical effects of primordial binaries in star clusters. I : Equal masses , 1992 .
[145] J. Gunn,et al. Dynamical studies of globular clusters based on photoelectric radial velocities of individual stars. I. M3. , 1979 .
[146] Z. Leinhardt,et al. N-body simulations of planetesimal evolution: Effect of varying impactor mass ratio , 2001 .
[147] R. Harrington. Production of triple stars by the dynamical decay of small stellar systems , 1975 .
[148] E. Salpeter. The Luminosity function and stellar evolution , 1955 .
[149] C. Burdet. Theory of Kepler motion: the general perturbed two body problem , 1968 .
[150] J. Makino. Gravothermal Oscillations , 2022 .
[151] K. F. Sundman,et al. Mémoire sur le problème des trois corps , 1913 .
[152] M. Miyamoto,et al. Three-Dimensional Models for the Distribution of Mass in Galaxies , 1975 .
[153] M. Miller,et al. Four-Body Effects in Globular Cluster Black Hole Coalescence , 2002, astro-ph/0202298.
[154] O. Blaes,et al. The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes , 2002, astro-ph/0203370.
[155] S. Aarseth,et al. A slow-down treatment for close binaries , 1996 .
[156] P. Hut. New Directions in Globular Cluster Modeling , 1992 .
[157] S. Aarseth,et al. Dynamics and Stability of Three-Body Systems , 1999 .
[158] The Role of Chaos in the Circularization of Tidal Capture Binaries. II. Long-Time Evolution , 1993, astro-ph/9312054.
[159] S. J. Aarseth. Dynamical Evolution of Clusters of Galaxies—III , 1969 .
[160] M. E. Alexander. Simulation of binary-single star and binary-binary scattering , 1986 .
[161] A. Cazenave,et al. Numerical experiment applicable to the latest stage of planet growth , 1982 .
[162] D. Heggie,et al. Evolution of star clusters after core collapse , 1989 .
[163] R. H. Miller,et al. IRREVERSIBILITY IN SMALL STELLAR DYNAMICAL SYSTEMS , 1964 .
[164] D. Sugimoto,et al. Post-collapse evolution and gravothermal oscillation of globular clusters , 1984 .
[165] R. D. L. F. Marcos,et al. Eccentric giant planets in open star clusters. , 1997 .
[166] S. Mikkola. Encounters of binaries – I. Equal energies , 1983 .
[167] J. Gott,et al. N-body simulations of galaxy clustering. II. Groups of galaxies , 1979 .
[168] Junichiro Makino,et al. Star cluster evolution with primordial binaries. I. A comparative study , 1990 .
[169] Jack Wisdom,et al. The resonance overlap criterion and the onset of stochastic behavior in the restricted three-body problem , 1980 .
[170] Melvyn B. Davies,et al. The binary star population of the young cluster NGC 1818 in the Large Magellanic Cloud , 1998 .
[171] L. Spitzer,et al. The Stability of Isolated Clusters , 1940 .
[172] P. Eggleton. Approximations to the radii of Roche lobes , 1983 .
[173] J. Anosova. Dynamical evolution of triple systems , 1986 .
[174] J. Makino. Merging of Galaxies with Central Black Holes. II. Evolution of the Black Hole Binary and the Structure of the Core , 1996, astro-ph/9608161.
[175] Simon F. Portegies Zwart,et al. The Runaway Growth of Intermediate-Mass Black Holes in Dense Star Clusters , 2002, astro-ph/0201055.
[176] Regularization tools for binary interactions , 2001, astro-ph/0110148.
[177] David H. Porter,et al. A tree code with logarithmic reduction of force terms, hierarchical regularization of all variables, and explicit accuracy controls , 1989 .
[178] S. Jha,et al. Studies of multiple stellar systems — III. Modulation of orbital elements in the triple-lined system HD 109648 , 2000, astro-ph/0003467.
[179] P. Hut. Binary-single-star scattering. III: Numerical experiments for equal-mass hard binaries , 1993 .
[180] D. Lin,et al. Tidal evolution of globular clusters. I - Method , 1992 .
[181] S. Tremaine,et al. Chaotic variations in the eccentricity of the planet orbiting 16 Cygni B , 1997, Nature.
[182] Richard Montgomery,et al. A remarkable periodic solution of the three-body problem in the case of equal masses , 2000, math/0011268.
[183] M. B. Davies,et al. Red giant collisions in the Galactic Centre , 1999 .
[184] Charles D. Bailyn,et al. Blue Stragglers and Other Stellar Anomalies: Implications for the Dynamics of Globular Clusters , 1995 .
[185] M. Davies,et al. The destructive effects of binary encounters on red giants in the Galactic Centre , 1998 .
[186] Andrei Tokovinin,et al. Relative orientation of orbits in triple stars , 2002 .
[187] J. Hills,et al. Stellar Collisions in Globular Clusters , 1975 .
[188] J. Hills. Computer simulations of encounters between massive black holes and binaries , 1991 .
[189] Evolution of binary stars and the effect of tides on binary populations , 2002, astro-ph/0201220.
[190] P. Kroupa,et al. SUPERBOX – an efficient code for collisionless galactic dynamics , 2000 .
[191] Fokker-Planck Models of Star Clusters with Anisotropic Velocity Distributions II. Post-Collapse Evolution , 1995, astro-ph/9609025.
[192] K. Tomisaka. Formation of Giant Molecular Clouds by Coagulation of Small Clouds and Spiral Structure , 1986 .
[193] Simon Portegies Zwart,et al. Monte Carlo Simulations of Globular Cluster Evolution. I. Method and Test Calculations , 2000 .
[194] P. Eggleton,et al. An Empirical Condition for Stability of Hierarchical Triple Systems , 1995 .
[195] R. Wielen. On the lifetimes of galactic clusters , 1971 .
[196] S. Mikkola,et al. Algorithmic regularization of the few‐body problem , 1999 .
[197] L. Spitzer,et al. Random gravitational encounters and the evolution of spherical systems. VII. Systems with several mass groups. , 1975 .
[198] Finite difference methods for the classical particle-particle gravitational n-body problem , 1987 .
[199] R. Klessen,et al. MODEST-1: Integrating stellar evolution and stellar dynamics , 2002, astro-ph/0207318.
[200] Direct Integration Methods of the N-Body Problem , 1972 .
[201] J. R. Cherniack,et al. Numerical integration of gravitational N-body systems with the use of explicit taylor series , 1974 .
[202] E. Kokubo,et al. Formation of Protoplanets from Planetesimals in the Solar Nebula , 2000 .
[203] J. W. Hartman. ON THE VELOCITY DISTRIBUTION OF RADIO PULSARS AT BIRTH , 1997 .
[204] R. Spurzem,et al. Collisional Dynamics around Binary Black Holes in Galactic Centers , 2001, astro-ph/0103410.
[205] S. Mikkola. Numerical Simulations of Encounters of Hard Binaries , 1985 .
[206] D. Heggie. A new outcome of binary–binary scattering , 2000 .
[207] W. Benz,et al. Stellar encounters involving red giants in globular cluster cores , 1991 .
[208] D. Richardson,et al. A Self-Consistent Numerical Treatment of Fractal Aggregate Dynamics , 1995 .
[209] R. E. Williamson,et al. The time of relaxation of stellar systems. III , 1941 .
[210] Collisions of main-sequence stars and the formation of blue stragglers in globular clusters , 1995, astro-ph/9511074.
[211] John E. Chambers,et al. Making the Terrestrial Planets: N-Body Integrations of Planetary Embryos in Three Dimensions , 1998 .
[212] A. Toomre. Mergers and Some Consequences , 1977 .
[213] R. Harrington. The dynamical decay of unstable 4-body systems , 1974 .
[214] M. Giersz,et al. A stochastic Monte Carlo approach to modelling of real star cluster evolution — I. The model , 1996 .
[215] B. Jones. Internal Motions in the Pleiades , 1970 .
[216] Douglas C. Heggie,et al. Binary evolution in stellar dynamics , 1975 .
[217] M. Duncan,et al. Runaway stars from young star clusters containing initial binaries. I. Equal-mass, equal-energy binaries , 1988 .
[218] Phil Palmer,et al. HIGH PRECISION INTEGRATION METHODS FOR ORBIT PROPAGATION , 1998 .
[219] Walter Dehnen. Towards optimal softening in three-dimensional N-body codes - I. Minimizing the force error , 2000 .
[220] S. Mikkola,et al. Burrau's three-body problem in the post-Newtonian approximation , 1995 .
[221] Sverre J. Aarseth. The Formation of Hierarchical Systems , 2001 .
[222] Piet Hut,et al. Long‐term evolution of isolated N‐body systems , 2002 .
[223] Stephen L. W. McMillan,et al. Chaotic scattering in the gravitational three-body problem. , 1993, Chaos.
[224] F. Adams,et al. The Modification of Planetary Orbits in Dense Open Clusters , 1998 .
[225] S. White,et al. Tidal interactions between spherical galaxies , 1985 .
[226] Toshiyuki Fukushige,et al. Pre-collapse evolution of galactic globular clusters , 1995 .
[227] S. Aarseth,et al. Direct N-body Modelling of Stellar Populations: Blue Stragglers in M67 , 2000, astro-ph/0012113.
[228] E. Stiefel,et al. Examples of transformations improving the numerical accuracy of the integration of differential equations , 1974 .
[229] Initial conditions and dynamics of triple systems , 1994 .
[230] Stuart L. Shapiro,et al. Random Gravitational Encounters and the Evolution of Spherical Systems. III. Halo , 1971 .
[231] S. Aarseth,et al. Formation of voids in the galaxy distribution , 1982 .
[232] S. Aarseth,et al. Close triple approaches and escape in the three-body problem , 1994 .
[233] G. Gilmore,et al. The distribution of low-mass stars in the Galactic disc , 1993 .
[234] E. Kokubo,et al. ON RUNAWAY GROWTH OF PLANETESIMALS , 1996 .
[235] Destruction of protoplanetary discs in the Orion Nebula Cluster , 2000, astro-ph/0012098.
[236] J. Chambers. A hybrid symplectic integrator that permits close encounters between massive bodies , 1999 .
[237] Simon D. M. White,et al. The Dynamics of Rich Clusters of Galaxies , 1976 .
[238] A New Class of High-Mass X-Ray Binaries: Implications for Core Collapse and Neutron Star Recoil , 2001, astro-ph/0109521.
[239] Jeremiah P. Ostriker,et al. A self-consistent field method for galactic dynamics , 1992 .
[240] S. Aarseth. Third Integral of Motion for High-velocity Stars , 1966, Nature.
[241] T. Levi-Civita,et al. Sur la régularisation du problème des trois corps , 1920 .
[242] P. Hut,et al. Gravothermal oscillations after core collapse in globular cluster evolution , 1989 .
[243] M. Holman,et al. Chaos in the solar system , 1996, astro-ph/0111600.
[244] T. Fukushige,et al. The time-scale of escape from star clusters , 1999, astro-ph/9910468.
[245] S. Tremaine,et al. A Class of Symplectic Integrators with Adaptive Time Step for Separable Hamiltonian Systems , 1999, astro-ph/9906322.
[246] C. Theis. Two-body relaxation in softened potentials , 1998 .
[247] M. Shara,et al. Free-floating Planets in Stellar Clusters: Not So Surprising , 2002 .
[248] F. Valdes,et al. The Spatial and Mass Distributions of Molecular Clouds and Spiral Structures , 1987 .
[249] Dynamical Instabilities in Extrasolar Planetary Systems Containing Two Giant Planets , 2000, astro-ph/0010178.
[250] R. D. L. F. Marcos,et al. Reshaping the outskirts of planetary systems , 2001 .
[251] S. Tremaine,et al. Symmetric Multistep Methods for the Numerical Integration of Planetary Orbits , 1990 .
[252] Yoshihide Kozai,et al. Secular perturbations of asteroids with high inclination and eccentricity , 1962 .
[253] S. White. Further simulations of merging galaxies , 1979 .
[254] N-body studies of compact groups of galaxies dominated by dark matter , 1984 .
[255] B. Paczyński. Common Envelope Binaries , 1976 .
[256] D. Lin,et al. Evolution of Planetesimals. II. Numerical Simulations , 1993 .
[257] S. Mikkola. Numerical Treatment of Small Stellar Systems with Binaries , 1997 .
[258] P. Kroupa. On the binary properties and the spatial and kinematical distribution of young stars , 1998, astro-ph/9803157.
[259] Joseph John Monaghan,et al. A statistical theory of the disruption of three-body systems – III. Three-dimensional motion , 1978 .
[260] L. Spitzer,et al. Random Gravitational Encounters and the Evolution of Spherical Systems. IV Isolated Systems of Identical Stars , 1972 .
[261] J. Laskar. Large scale chaos and the spacing of the inner planets. , 1997 .
[262] A regularization of multiple encounters in gravitationalN-body problems , 1974 .
[263] Piet Hut,et al. Tidal evolution in close binary systems , 1981 .
[264] S. Aarseth,et al. An efficient integration method for binaries in N-body simulations , 1998 .
[265] Jeremy Goodman,et al. Nonlinear Damping of Oscillations in Tidal-Capture Binaries , 1996 .
[266] The N-Body Problem in Stellar Dynamics , 1988 .
[267] P. Hut,et al. Building a better leapfrog , 1995 .
[268] Junichiro Makino. An efficient parallel algorithm for O(N2) direct summation method and its variations on distributed-memory parallel machines , 2002 .
[269] Christopher A. Tout,et al. The distribution of visual binaries with two bright components , 1989 .
[270] K. Zare. The effects of integrals on the totality of solutions of dynamical systems , 1976 .
[271] Philipp Podsiadlowski,et al. Submitted to ApJ Preprint typeset using L ATEX style emulateapj v. 21/08/00 A COMPREHENSIVE STUDY OF NEUTRON STAR RETENTION IN GLOBULAR CLUSTERS , 2001 .
[272] Sebastian von Hoerner,et al. Internal structure of globular clusters , 1957 .
[273] D. Heggie,et al. Statistics of N-body simulations — III. Unequal masses , 1995, astro-ph/9506143.
[274] Roland Wielen,et al. A comparison of numerical methods for the study of star cluster dynamics , 1974 .
[275] T. Mazeh. Eccentric Orbits in Samples of Circularized Binary Systems: The Fingerprint of a Third Star , 1990 .
[276] J. Makino,et al. On the Origin of Density Cusps in Elliptical Galaxies , 1997, astro-ph/9710135.
[277] Erik Holmberg,et al. On the Clustering Tendencies among the Nebulae. II. a Study of Encounters Between Laboratory Models of Stellar Systems by a New Integration Procedure. , 1941 .
[278] Carles Simo. Periodic orbits of the planar N-body problem with equal masses and all bodies on the same path , 2001 .
[279] P. Leonard. Stellar Collisions in Globular Clusters and the Blue Straggler Problem , 1989 .
[280] E. S. Phinney,et al. BINARIES IN GLOBULAR CLUSTERS , 1992, astro-ph/9710262.
[281] R. Hoogerwerf,et al. The Origin of Runaway Stars , 2000 .
[282] P. Leonard. The Maximum Possible Velocity of Dynamically Ejected Runaway Stars , 1991 .
[283] Howard A. Smith. The validity of statistical results from N-body calculations , 1977 .
[284] D. Lin,et al. Evolution of planetesimals. I - Dynamics: Relaxation in a thin disk. II - Numerical simulations , 1993 .
[285] Japan.,et al. Dynamical evolution of rotating stellar systems – II. Post-collapse, equal-mass system , 2001, astro-ph/0109062.
[286] Leon Cohen,et al. A numerical integration scheme for the N-body gravitational problem , 1973 .
[287] H. Melosh,et al. Gravitational Aggregates: Evidence and Evolution , 2002 .
[288] H. Baumgardt. Scaling of N-body calculations , 2000, astro-ph/0012330.
[289] Robert D. Mathieu,et al. Standardised units and time scales , 1986 .
[290] Round-off sensitivity in the N -body problem , 1986 .
[291] S. Mikkola. A practical and regular formulation of the N-body equations , 1985 .
[292] Avram Hayli. Le problème des N corps dans un champ extérieur. Application à l'évolution dynamique des amas ouverts. I , 1967 .
[293] G. Meylan. The Internal Dynamics of Globular Clusters , 1999, astro-ph/9912495.
[294] The escape of stars from clusters 1. Calculation for a centrally concentrated model , 1958 .
[295] S. Aarseth,et al. A chain regularization method for the few-body problem , 1989 .
[296] S. Aarseth. NBODY2: A direct N-body integration code , 2001, astro-ph/0105030.
[297] Z. Anosova,et al. STUDY OF THE DYNAMICS OF TRIPLE SYSTEMS BY MEANS OF STATISTICAL SAMPLING. , 1968 .
[298] Ivan R. King,et al. The structure of star clusters. III. Some simple dvriamical models , 1966 .
[299] M. Bolte. CCD Photometry in the Globular Cluster NGC 288. I. Blue Stragglers and Main-Sequence Binary Stars , 1992 .
[300] S. Aarseth. Computer simulations of star cluster dynamics , 1973 .
[301] Ralf Ebner,et al. Pseudovectorization, SMP, and Message Passing on the Hitachi SR8000-F1 , 2000, Euro-Par.
[302] P. Eggleton,et al. Tidal Friction in Triple Systems: A Means of Producing Close Stellar and Planetary Orbits , 1999 .
[303] S. M. Fall,et al. Cosmological N-body simulations of galaxy merging , 1980 .
[304] O. Gerhard. N-body simulations of disc–halo galaxies: isolated systems, tidal interactions and merging , 1981 .
[305] A. Rollett,et al. The Monte Carlo Method , 2004 .
[306] Seppo Mikkola,et al. An implementation ofN-body chain regularization , 1993 .
[307] Junichiro Makino,et al. The GRAPE project: Current Status and Future Outlook , 2003 .
[308] C. Marchal,et al. A test of escape valid even for very small mutual distances I. The acceleration and the escape velocities of the third body , 1984 .
[309] K. Zare. A regularization of the three body problem , 1974 .
[310] Jack Wisdom,et al. Local simulations of planetary rings , 1986 .
[311] Ny,et al. Core radius evolution of star clusters , 2003 .
[312] H. Plummer. On the Problem of Distribution in Globular Star Clusters: (Plate 8.) , 1911 .
[313] Scott Tremaine,et al. On the reliability of gravitational N-body integrations , 1992 .
[314] Jr.,et al. Evolution of Stellar Collision Products in Globular Clusters. II. Off-Axis Collisions , 2000, astro-ph/0008254.
[315] D. Heggie. The Lifetime of Binary Stars , 1977 .
[316] D. C. H. Ramamani. Approximate self-consistent models for tidally truncated star clusters , 1993, astro-ph/9303010.
[317] P. Kroupa. Inverse dynamical population synthesis and star formation , 1995, astro-ph/9508117.
[318] J. Mermilliod,et al. Evolution of mass segregation in open clusters: some observational evidences ? , 1998, astro-ph/9802284.
[319] Sverre J. Aarseth,et al. On the Tidal Disruption of Dwarf Spheroidal Galaxies around the Galaxy , 1995 .
[320] V. Szebehely. Mass effects in the problem of three bodies , 1972 .
[321] C. Kochanek. The dynamical evolution of tidal capture binaries , 1992 .
[322] M. Mayor,et al. Multiplicity among solar-type stars in the solar neighbourhood. II - Distribution of the orbital elements in an unbiased sample. , 1991 .
[323] L. Spitzer,et al. Equipartition and the Formation of Compact Nuclei in Spherical Stellar Systems , 1969 .
[324] J. Hills,et al. Computer simulations of close encounters between binary and single stars - The effect of the impact velocity and the stellar masses , 1982 .
[325] J. Makino. Postcollapse Evolution of Globular Clusters , 1996, astro-ph/9608160.
[326] Richard W. Michie. Distribution of High-Energy Stars in Spherical Stellar Systems. , 1962 .
[327] J. Gunn,et al. Three-Integral Models of Globular Clusters , 1987 .
[328] P. Eggleton,et al. High-velocity stars from decay of small stellar systems , 1998 .
[329] Mauri J. Valtonen,et al. The gravitational slingshot and the structure of extragalactic radio sources , 1974 .
[330] M. Davies,et al. Stellar collisions in the Galactic Centre , 2000 .
[331] John N. Bahcall,et al. Binary-single star scattering. I: Numerical experiments for equal masses , 1983 .
[332] V. Trimble. Binary Stars in Globular and Open Clusters , 1980 .
[333] J. B. Hoffer. Computer simulations of gravitational encounters between pairs of binary star systems , 1983 .
[334] Christopher A. Tout,et al. Rapid binary star evolution for N-body simulations and population synthesis , 1997 .
[335] Stephen L. W. McMillan,et al. Binary--Single-Star Scattering. VII. Hard Binary Exchange Cross Sections for Arbitrary Mass Ratios: Numerical Results and Semianalytic FITS , 1996 .
[336] Sebastian von Hoerner. Die numerische Integration des n-Körper-Problemes für Sternhaufen. I , 1960 .
[337] S. Aarseth. Direct methods for N-Body simulations , 1994 .
[338] G. Piotto,et al. The Main Sequence and a White Dwarf Sequence in the Globular Cluster NGC 6397 , 1996 .
[339] S. Tremaine,et al. The velocity dispersion in Saturn's rings , 1978 .
[340] Reinhard Männer,et al. AHA-GRAPE: Adaptive Hydrodynamic Architecture - GRAvity PipE , 1999, PDPTA.
[341] Piet Hut,et al. Core radius and density measurements in N-body experiments Connections with theoretical and observational definitions , 1985 .
[342] R. Wielen. Dynamics of Star Clusters: Comparison of Theory with Observations and Simulations , 1975 .
[343] Toshiyuki Fukushige,et al. GRAPE-6: Massively-Parallel Special-Purpose Computer for Astrophysical Particle Simulations , 2003, astro-ph/0310702.
[344] S. Zwart,et al. The Disruption of Globular Star Clusters in the Galaxy: A Comparative Analysisbetween Fokker-Planck and N-Body Models , 1998, astro-ph/9805310.
[345] D. Richardson. A new tree code method for simulation of planetesimal dynamics , 1993 .
[346] Yoshikazu Tanaka,et al. Node Architecture and Performance Evaluation of the Hitachi Super Technical Server SR8000 , 1999 .
[347] Basic N-body modelling of the evolution of globular clusters — I. Time scaling , 1998, astro-ph/9805344.
[348] Victor Szebehely,et al. Complete solution of a general problem of three bodies , 1967 .
[349] M. Milosavljevic,et al. Formation of Galactic Nuclei , 2001, astro-ph/0103350.
[350] G. Janin,et al. Disruption of Star Clusters through Passing Interstellar Clouds Investigated by Numerical Experiments , 1972 .
[351] J. Makino,et al. On the Central Structure of M15 , 2002, astro-ph/0210133.
[352] Astronomy,et al. Blue Straggler Stars: A Direct Comparison of Star Counts and Population Ratios in Six Galactic Globular Clusters , 2003, astro-ph/0301261.
[353] I. King. The dynamics of open clusters , 1980 .
[354] Anil Rao. Dynamics of Particles and Rigid Bodies , 2005 .
[355] HongSheng Zhao. Analytical models for galactic nuclei , 1996 .
[356] S. White. Simulations of sinking satellites , 1983 .
[357] David Merritt. Optimal smoothing for N-body codes , 1996 .
[358] H. Cohn,et al. Late core collapse in star clusters and the gravothermal instability , 1980 .
[359] William H. Press,et al. Techniques and tricks for N-body computation , 1986 .
[360] D. Latham,et al. Orbits of 22 spectroscopic binaries in the open cluster M67 , 1990 .
[361] Stability and chaos in the υ Andromedae planetary system , 1999 .
[362] L. Hernquist,et al. Performance characteristics of tree codes , 1987 .
[363] J. Baumgarte. Numerical stabilization of all laws of conservation in the many body problem , 1973 .
[364] R. H. Miller,et al. Numerical difficulties with the gravitational n-body problem , 1974 .
[365] R. Harrington. Stability criteria for triple stars , 1972 .
[366] H. Richer,et al. Multicomponent Models for the Dynamic Evolution of Globular Clusters , 1991 .
[367] P. Kroupa. On the variation of the initial mass function , 2000, astro-ph/0009005.
[368] Charles C. Dyer,et al. Softening in N-body simulations of collisionless systems , 1993 .
[369] Stephen L. W. McMillan,et al. An O(N log N) integration scheme for collisional stellar systems , 1993 .
[370] J. Hills. Encounters between binary and single stars and their effect on the dynamical evolution of stellar systems , 1975 .
[371] E. Stiefel,et al. Perturbation theory of Kepler motion based on spinor regularization. , 1965 .
[372] Konrad Kuijken,et al. The mass distribution in the galactic disc – III. The local volume mass density , 1989 .
[373] Chaos and Tidal Capture , 1995, astro-ph/9512036.
[374] J. Anosova. Strong triple interactions in the general three-body problem , 1991 .
[375] Mirek Giersz. Monte Carlo Simulations of Star Clusters , 2000 .
[376] Ivan R. King,et al. The structure of star clusters. I. an empirical density law , 1962 .
[377] George W. Wetherill,et al. Accumulation of a swarm of small planetesimals , 1989 .
[378] S. Aarseth,et al. N-body simulations of planetary formation , 1990, Monthly Notices of the Royal Astronomical Society.
[379] P. Leonard. The Implications of the Binary Properties of the M67 Blue Stragglers , 1996 .
[380] Junichiro Makino,et al. Performance analysis of direct N-body calculations , 1988 .
[381] P. H. Chavanis. Statistical Mechanics of Violent Relaxation in Stellar Systems , 2002 .
[382] D. Heggie,et al. On the exponential instability of N-body systems , 1993 .
[383] K. Zare. Bifurcation points in the planar problem of three bodies , 1977 .
[384] 東京天文台,et al. Evolution of globular clusters , 1959 .
[385] S. Aarseth. Star Cluster Simulations: The State of the Art , 1999 .
[386] S. Zwart,et al. Quick method for calculating energy dissipation in tidal interaction , 1993 .
[388] S. Mikkola. On the Effects of Unequal Masses in the Statistics of Three-and Four-Body Interactions , 1988 .
[389] S. Aarseth,et al. Neutron Star Binaries in Open Clusters , 1996 .
[390] Junichiro Makino,et al. Star cluster ecology-IV. Dissection of an open star cluster: photometry , 2001 .
[391] S. Mikkola. Encounters of binaries. III: Fly-bys , 1984 .
[392] S. McMillan. The vectorization of small-n integrators , 1986 .
[393] George Lake,et al. Direct Large-Scale N-Body Simulations of Planetesimal Dynamics , 2000 .
[394] J. Hills. Dynamic Relaxation of Planetary Systems and Bode's Law , 1970, Nature.
[395] Piet Hut,et al. A hierarchical O(N log N) force-calculation algorithm , 1986, Nature.
[396] Jeremiah P. Ostriker,et al. Dynamical Evolution of Globular Clusters , 1996 .
[397] Toshio Fukushima,et al. Vector Integration of Dynamical Motions by the Picard-Chebyshev Method , 1997 .
[398] S. Mikkola. Practical Symplectic Methods with Time Transformation for the Few-Body Problem , 1997 .
[399] E. Ford,et al. Secular Evolution of Hierarchical Triple Star Systems , 1999, astro-ph/9905348.
[400] C. Burdet. Regularization of the two body problem , 1967 .
[401] J. Laskar,et al. On the spacing of planetary systems. , 2000, Physical review letters.
[402] P. Stetson,et al. Canada-France-Hawaii Telescope Observations of Globular Cluster Cores: Blue Straggler Stars in M3 (NGC 5272, GC 1339+286) , 1993 .
[403] Junichiro Makino,et al. Bottlenecks in simulations of dense stellar systems , 1990 .
[404] S. Ida,et al. Viscosity in a dense planetary ring with self-gravitating particles , 2001 .
[405] P. Leonard,et al. Merged dynamically ejected OB runaway stars , 1995 .
[406] Junichiro Makino. Comparison of two different tree algorithms , 1990 .
[407] Binary stars in young clusters: models versus observations of the Trapezium Cluster , 1999, astro-ph/9906460.
[408] Junichiro Makino,et al. On a Hermite Integrator with Ahmad-Cohen Scheme for Gravitational Many-Body Problems , 1992 .
[409] P. C. Peters. Gravitational Radiation and the Motion of Two Point Masses , 1964 .
[410] P. Leonard,et al. On the possibility of a collisional origin for the blue stragglers and contact binaries in the old open clusters M67 and NGC 188 , 1992 .
[411] Makoto Taiji,et al. Scientific simulations with special purpose computers - the GRAPE systems , 1998 .
[412] S. Shapiro,et al. Evolution of Stellar Collision Products in Globular Clusters. I. Head-on Collisions , 1997, astro-ph/9705019.
[413] Peter J. Teuben,et al. The Stellar Dynamics Toolbox NEMO , 1995 .
[414] R. Wielen. Dynamics of Open Star Clusters , 1985 .
[415] K. Thorne,et al. Stars with degenerate neutron cores. I. structure of equilibrium models , 1977 .
[416] D. Lai. Dynamical Tides in Rotating Binary Stars , 1997, astro-ph/9704132.
[417] Simon F. Portegies Zwart,et al. The Evolution of Globular Clusters in the Galaxy , 1999, astro-ph/9903366.
[418] R. Spurzem,et al. Comparison between Fokker-Planck and gaseous models of star clusters in the multi-mass case revisited , 1995 .
[419] Harold F. Levison,et al. The Long-Term Dynamical Behavior of Short-Period Comets , 1993 .
[420] M. Giersz,et al. A stochastic Monte Carlo approach to model real star cluster evolution - II. Self-consistent models and primordial binaries , 1999, astro-ph/9911504.
[421] R. Larson. A Method for Computing the Evolution of Star Clusters , 1970 .
[422] S. Aarseth,et al. A Time-Transformed Leapfrog Scheme , 2002 .
[423] A. Poveda,et al. Run-away Stars as the Result of the Gravitational Collapse of Proto-stellar Clusters , 1967 .
[424] S. Aarseth,et al. Tidal interactions in star cluster simulations , 2001 .
[425] H. Cohn,et al. Numerical integration of the Fokker-Planck equation and the evolution of star clusters , 1979 .
[426] E. Kokubo,et al. Orbital Evolution of Protoplanets Embedded in a Swarm of Planetesimals , 1995 .
[427] Junichiro Makino,et al. On a time-symmetric Hermite integrator for planetary N-body simulation , 1998 .
[428] S. F. Portegies Zwart,et al. Population synthesis of high-mass binaries , 1996 .
[429] V. Szebehely,et al. Stability of classical triplets and of their hierarchy. , 1977 .