High-accuracy statistical simulation of planetary accretion: I. Test of the accuracy by comparison with the solution to the stochastic coagulation equation

Earth, Planets and Space

Volumn 51, Issue 3, 1999, Pages 205-217

  Inaba, Satoshi ^a   Tanaka, Hidekazu ^a   Ohtsuki, Keiji ^b   Nakazawa, Kiyoshi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b YAMAGATA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACCRETION; PLANETARY EVOLUTION;

EID: 0032773141     PISSN: 13438832     EISSN: 18805981     Source Type: Journal    
DOI: 10.1186/BF03352224     Document Type: Article

References (25)

1. Aarseth, S. J., D. N. C. Lin, and P. L. Palmer, Evolution of planetesimals. II. Numerical simulations, Astrophys. J., 403, 351-376, 1993.
2. Barge, P. and R. Pellat, Mass spectrum and velocity dispersions during planetesimal accumulation. I. Accretion, Icarus, 93, 270-287, 1991.
3. Bayewitz, M. H., J. Yerushalmi, S. Katz, and R. Shinnar, The extent of correlations in a stochastic coalescence process, J. Atmos. Sci., 31, 1604-1614, 1974.
4. Beaugé, C. and S. J. Aarseth, N-body simulation of planetary formation, Mon. Not. R. Astron. Soc., 245, 30-39, 1990.
5. Greenberg, R., J. Wacker, C. R. Chapman, and W. K. Hartmann, Planetesimals to planets: Numerical simulation of collisional evolution, Icarus, 35, 1-26, 1978.
6. Greenzweig, Y. and J. J. Lissauer, Accretion rates of protoplanets II. Gaussian distributions of planetesimal velocities, Icarus, 100, 440-463, 1992.
7. Hayashi, C., K. Nakazawa, and Y. Nakagawa, Formation of the solar system, in Protostars and Planets II, edited by D. C. Black and M. S. Matthews, 1100 pp., Univ. of Arizona Press, Tucson, 1985.
8. Kokubo, E. and S. Ida, On runaway growth of planetesimals, Icarus, 123, 180-191, 1996.
9. Kokubo, E. and S. Ida, Formation of protoplanets from planetesimals in the solar nebula, Icarus, 1998 (submitted).
10. Lecar, M. and S. J. Aarseth, A numerical simulation of the formation of the terrestrial planets, Astrophys. J., 305, 564-579, 1986.
11. Lushnikov, A. A., Coagulation in finite systems. J. Colloid Interface Sci., 65, 276-285, 1978.
12. Makino, J., T. Fukushige, Y. Funato, and E. Kokubo, On the mass distribution of planetesimals in the early runaway stage, New Astronomy, 3, 411-416, 1998.
13. Marcus, A. H., Stochastic coalescence, Technometrics, 10, 133-143, 1968.
14. Nakagawa, Y., C. Hayashi, and K. Nakazawa, Accumulation of planetesimals in the solar nebula, Icarus, 54, 361-376, 1983.
15. Ohtsuki, K., Y. Nakagawa, and K. Nakazawa, Growth of the earth in nebula gas, Icarus, 75, 552-565, 1988.
16. Safronov, V. S., Evolution of the Protoplanetary Cloud and Formation of the Earth and Planets, Nauka, Moscow, 1969 (Transl. 1972 NASA TT F-677).
17. Smoluchowski, M. V., Drei vortrage uber diffusion, brownshe molekularbewegung und koagulation van kolloidteilchen, Phys. Zeits., 17, 557-571; 585-599, 1916.
18. Spaute, D., S. J. Weidenschilling, D. R. Davis, and F. Marzari, Accretional evolution of a planetesimal swarm: 1. A new simulation, Icarus, 92, 147-164, 1991.
19. Stewart, G. R. and S. Ida, Velocity evolution of planetesimals: Unified analytical formulae and comparison with N-body simulations, Icarus, 1998 (submitted).
20. Tanaka, H. and K. Nakazawa Stochastic coagulation equation and validity of the statistical coagulation equation, J. Geomag. Geoelectr., 45, 361-381, 1993.
21. Tanaka, H. and K. Nakazawa, Validity of the statistical coagulation equation and runaway growth of protoplanets, Icarus, 107, 404-412, 1994.
22. Trubnikov, B. A., Solution of the coagulation equations in the case of bilinear coefficient of adhesion of particles, Sov. Phys. Dokl., 16, 124-126, 1971.
23. Wetherill, G. W., Comparison of analytical and physical modeling of planetesimal accumulation, Icarus, 88, 336-354, 1990.
24. Wetherill, G. W. and G. R. Stewart, Accumulation of a swarm of small planetesimals, Icarus, 77, 330-357, 1989.
25. Wetherill, G. W. and G. R. Stewart, Formation of planetary embryos: Effects of fragmentation, low relative velocity, and independent variation of eccentricity and inclination, Icarus, 106, 190-209, 1993.