Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.5555/314161.314166acmconferencesArticle/Chapter ViewAbstractPublication PagessodaConference Proceedingsconference-collections
Article
Free access

From Sir Isaac to the Sloan survey: calculating the structure and chaos owing to gravity in the universe

Published: 05 January 1997 Publication History
First page of PDF

References

[1]
S.J. Aarseth, D. N. C. Lin and P. L. Palmer, Evolution of planetesimals. IL Numerical simulations, Astrophys. J., 403, (1993), pp. 351-76.
[2]
A. W. Appel, An efficient Program for Many-Body Simulation, SIAM J. Sci. Star. Comput., 6, (1985), pp. 85-93.
[3]
J. H. Applegate, M. R. Douglas, Y. Gursel, G. J. Sussman and J. Wisdom, The outer Solar System .for 210 million years, Astron. J., 92, (1986), pp. 176-94.
[4]
V. I. Arnold, Small Denominators and the Problem of Stabilit~l in Classical and Celestial Mechanics, in Report to the IVth All-Union Mathematical Congress, Leningrad, (1961 ).
[5]
J. Barnes, An efficient N-body algorithm for a fnegrain parallel computer, in The Use of Supercomputers in Stellar Dynamics, P. Hut and S. McMillan, eds., Springer Verlag, New York, (1986), pp. 175-80.
[6]
J. Barnes and P. Hut, A Hierarchical O(NlogN) Force- Calculation Algorithm, Nature, 324, (1986), pp. 446- 5O.
[7]
C. Beaug~ and S. J. Aarseth, N-body simulations of planetary formation, Mon. Not. R. astr. Soc., 245, (1990), pp. 30-39.
[8]
W. Benz, W. L. Slattery and A. G. W. Cameron, The origin of the Moon and the single-impact hypothesis. I, Icarus, 66, (1986), pp. 515-35.
[9]
A. Berger, J. imbrie, J. Hi;yes, G. Kukla and B. Saltzman, eds., Milankovitch and climate: understanding the response to astronomical forcing, Reidel, Dordrecht, (1984).
[10]
M. P. Cairo and J. M. Sanz-Serna, The development of variable.step symplectic integrators with application to the two-body problems, SIAM J. Sci. Comput., 14, (1993), p p. 936-52.
[11]
C. J. Cohen and E. C. Hubbard, Libration of the Close Approaches of Pluto to Neptune, Astron. J., 70, (1965), pp. 10.
[12]
C. J. Cohen, E. C. Hubbard and C. Oesterwinter, Elements of the outer planets for a million years, Astron. Pap. Amer. Ephem., 22, (1973), pp. I.
[13]
L. Dones and S. Tremaine, On the origin of planetary spins, Icarus, 103, (1993), pp. 67-92.
[14]
M. Duncan and T. Quinn, The Long-Term Dynamical Evolution of the Solar System, Ann. Rev. Astron. Astrophys., 31, (1993), pp. 265-89.
[15]
W. J. Eckert, D. Brouwer and G. Clemence, Coordinates of the five outer planets 1653--2060, Astron. Pap. Amer. Ephem., 12, (1951), pp. 1-47.
[16]
C. W. Gear, Waveforrn methods for space and time parallelism, J. Comp. and Appl. Math., 38, (1991), pp. 137-47.
[17]
J. C. Gradie, C. R. Chapman and E. F. Tedesco, Distribution of taxonomic classes and the compositional structure of the asteroid belt, in Asteroids II, R. P. Binzel, T. Gehrels and M. S. Matthews, eds., Univ. Arizona Press, Tucson, (1989), pp. 316-35.
[18]
J. E. Gunn and G. R. Knapp, The Slosh Digital Sky Survey, in Sky Surveys, Protostars to Protogalaxies, T. Soifer, ed., Ast. Soc. of Pacific conference series, #43, (1992), pp. 267-79.
[19]
L. Hernquist and N. Katz, TREESPH, a unification of SPH with the hierarchical tree method, Astrophys. J. Suppl., 70, (1989), pp. 419-46.
[20]
P. Hut, J. Makino and S. McMillan, Building a better leapfrog, Astrophys. J. Left., 443, (1994), pp. L93-6.
[21]
S. Ida and J. Makino, Scattering of Planetesimals by a Protoplanet: Slowing Down of Runaway Growth, Icarus, 106, (1993), pp. 210-27.
[22]
N. Katz, T. Quinn, E. Bertschinger and J. M. Gelb, Formation of quasars at high redshift, Mon. Not. Roy. astr. Soc., in press, (1994).
[23]
J. Laskar, A numerical ezperirnent on the chaotic behaviour of the Solar System, Nature, 338, (1989), pp. 237-8.
[24]
J. Laskar, Lace.scale chaos in the Solar System, Astron. Astrophys., 287, (1994), pp. L9-12
[25]
J. J. Lissauer, Planet formation, Ann. Rev. Astron. Astrophys., 31, (1993), pp. 129-74.
[26]
J. J. Lissauer and V. S. Safronov, The random component of planetary rotation, Icarus, 93, (1991), pp. 288- 97.
[27]
J. Laskar, T. Quinn, and S. Tremaine, Confi,~ation of resonant structure in the Solar System, Icarus, 95, (1992) pp. 148-52.
[28]
M. Lecar, F. Franklin and M. Murison, On predicting long-term orbital instability: a relation bet~veen the lyapunov time and sudden orbital transitions, Astron. J., 104, (1992), pp. 1230-6.
[29]
B. Moore, N. Katz and G. Lake, On the destruction and overmerging of dark halos in dissipationless N-body simulations, Astrophys. J., 457, (1996), pp. 455-9.
[30]
B. Moore, N. Katz and G. Lake, Galaxy harassment and the evolution of clusters of galaxies, Nature, 379, (1996), pp. 613-16.
[31]
A. M. Nobili, A. Milani and M. Carpino, Fundamental frequencies and small divisors in the orbits of the outer planets, Astron. Astrophys., 210, (1989), pp. 313-36.
[32]
A. M. Nobili, 1986, LONGSTOP and the masses of Uranus and Neptune in Solid Bodies of the Outer Solar System, ESTEC, Noordwijk, (1986), pp. 9-13.
[33]
H. Poincar~, Les methodes nouvelles de la rnechanique celeste. Gauthiers-Villars, Paris, (1892).
[34]
T. Quinn, N. Katz, J. Stadel and G. Lake, Time stepping N-body simulations, in preparation.
[35]
T. Quinn and S. Tremaine, Roundoff error in long-term planetary orbit integrations, Astron. J., 99, (1990), pp. 1016-23.
[36]
T. R. Quinn, S. Tremaine and M. J. Duncan, A three million year integration of the Earth's orbit, Astron. J., 101, (1991), pp. 2287-305.
[37]
D.L. Richardson and C. F. Walker, Multivalue integration of the planetary equations over the last one-million years. Astrodynamics 1987, Soldner et al, eds. Univelt, San Diege, (1987) pp. 1473-56.
[38]
D. L. Richardson and C. F. Walker, Numerical sireulation of the nine-body planetary system spanning two million years, J. Astronautical Sci., 37, (1989), pp. 159-82.
[39]
P. Saha and S. Tremaine, Symplectic integrators for Solar System dynamics, Astron. J., 104, (1992), pp. 1633- 40.
[40]
P. Saixa and S. Tremaine, Lon~.term planetary integration with individual time steps, Astron. J., 108, (1994), pp. 1962-9.
[41]
P. Saha, J. Stadel and S. Tremaine, A Parallel lntegration Method .for Solar System Dynamics, Astron. J., submitted, (1992).
[42]
P. Saha, The Use of Tangent Equations to Detect Chaos in Solar System Dynamics, in preparation (1997).
[43]
J. K. Salmon, Parallel Hierarchical N. body Methods, Ph.D. Thesis, California Institute of Technology, 1990.
[44]
J. Stadel and T. R. Quinn, A generalization of Ewald summation to arbitrary multipole order, in preparation (1996).
[45]
G.J. Sussman and J. Wisdom, Numerical evidence that the motion of Pluto is chaotic, Science, 241, (1988), pp. 433-7.
[46]
G. J. Sussman and J. Wisdom, Chaotic Evolution of the Solar System, Science, 257, (1992), pp. 56-62.
[47]
(3. W. Wetherill, Possible consaquences of absence of "Jupiters" in planeta~ systems, Ap. Sp. Sci., 212, (1994), pp. 2a-s2.
[48]
G. W. Wetherill and G. R. Stewart, Accumulation of a swarm of small planetesimals, Icarus, 77, (1989), pp. 330-57.
[49]
H. Yoshida, Construction of higher order symplectic integrators, Phys. Lett. A., 150, (1990), pp. 262-8.

Cited By

View all
  • (2024)Efficient numerical algorithms for multi-precision and multi-accuracy calculation of the error functions and Dawson integral with complex argumentsNumerical Algorithms10.1007/s11075-023-01727-297:2(869-887)Online publication date: 1-Oct-2024
  • (2010)Supporting extended precision on graphics processorsProceedings of the Sixth International Workshop on Data Management on New Hardware10.1145/1869389.1869392(19-26)Online publication date: 7-Jun-2010
  • (1997)Highly portable and efficient implementations of parallel adaptive N-body methodsProceedings of the 1997 ACM/IEEE conference on Supercomputing10.1145/509593.509597(1-20)Online publication date: 15-Nov-1997

Index Terms

  1. From Sir Isaac to the Sloan survey: calculating the structure and chaos owing to gravity in the universe

        Recommendations

        Comments

        Information & Contributors

        Information

        Published In

        cover image ACM Conferences
        SODA '97: Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
        January 1997
        788 pages
        ISBN:0898713900

        Sponsors

        Publisher

        Society for Industrial and Applied Mathematics

        United States

        Publication History

        Published: 05 January 1997

        Check for updates

        Qualifiers

        • Article

        Acceptance Rates

        Overall Acceptance Rate 411 of 1,322 submissions, 31%

        Contributors

        Other Metrics

        Bibliometrics & Citations

        Bibliometrics

        Article Metrics

        • Downloads (Last 12 months)44
        • Downloads (Last 6 weeks)14
        Reflects downloads up to 14 Jan 2025

        Other Metrics

        Citations

        Cited By

        View all
        • (2024)Efficient numerical algorithms for multi-precision and multi-accuracy calculation of the error functions and Dawson integral with complex argumentsNumerical Algorithms10.1007/s11075-023-01727-297:2(869-887)Online publication date: 1-Oct-2024
        • (2010)Supporting extended precision on graphics processorsProceedings of the Sixth International Workshop on Data Management on New Hardware10.1145/1869389.1869392(19-26)Online publication date: 7-Jun-2010
        • (1997)Highly portable and efficient implementations of parallel adaptive N-body methodsProceedings of the 1997 ACM/IEEE conference on Supercomputing10.1145/509593.509597(1-20)Online publication date: 15-Nov-1997

        View Options

        View options

        PDF

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader

        Login options

        Media

        Figures

        Other

        Tables

        Share

        Share

        Share this Publication link

        Share on social media