Skip to main content

Migration of Bodies in the Accumulation of Planets

  • Conference paper
Comparative Planetology with an Earth Perspective
  • 83 Accesses

Abstract

Our investigations of the migration of bodies in the Solar system and the formation of planets were based mainly on the results of computer simulation of the evolution of disks that originally consisted of hundreds of gravitating bodies moving around the Sun (Ipatov 1987, 1993a). The mutual gravitational influence of bodies was taken into account by the Tisserand spheres method, that is two two-bodies problems were considered. Ipatov (1988a) also made analytical studies of the dependence of the time of disk evolution as a function of the number of bodies constituting the disk. For choosing the pairs of encounting (up to the radius of the Tisserand sphere) bodies, Ipatov (1993b) used the probability and deterministic methods. For the probability method, the pairs of encounting bodies were chosen proportionally to the probabilities of their encounters. For the deterministic method, the time to an isolated (from other bodies) encounter of the pair of encounting bodies was minimum. To our opinion, the deterministic method is more physical. Orbits and masses of formed planets, and times to collisions of separate bodies with planets are almost identical for both methods. However, the time of the evolution of disks, consisting of a large number of bodies, and so the time of the formation of the main part of planets’ masses obtained by using the deterministic method are ten times less than those obtained by using the probability one. In particular, the time to form 80 % of mass of the Earth did not exceed 10 Myr.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Gladman, B.: 1993, “Dynamics of systems of two close planets.” Icarus, 106, N 1, 247–263.

    Article  ADS  Google Scholar 

  • Ipatov, S.I.: 1981, “Computer modeling of the evolution of the plane rings of gravitating particles moving around the Sun.”Sov. Astron., 25(58), N 5, 617–623.

    Google Scholar 

  • Ipatov, S.I.: 1987, “Accumulation and migration of the bodies from the zones of giant planets.” Earth, Moon, and Planets, 39, N 2, 101–128.

    ADS  Google Scholar 

  • Ipatov, S.I.: 1988a, “Evolution times for disks of planetesimals.” Soy. Astron., 32(65), N 5, 560–566.

    Google Scholar 

  • Ipatov, S.I.: 1988b, “Computer simulation of the possible evolution of the orbits of Pluto and bodies of the trans-Neptune belt.” Kinematics Phys. Celest. Bodies, 4, N 6, 76–82.

    Google Scholar 

  • Ipatov, S.I.: 1993a, Ipatov, S.I.: “Migration of bodies in the accretion of planets.” Solar System Research, 27, N 1, 65–79.

    Google Scholar 

  • Ipatov, S.I.: 1993b, “Methods of choosing the pairs of contacting bodies for investigations of the evolution of discrete systems with binary interactions.” Mathematical Modeling, 5, N 1, 35–59 (in Russian).

    MathSciNet  MATH  Google Scholar 

  • Ipatov, S.I.: 1994, “Gravitational interaction of two planetesimals moving in close orbits.” Solar System Research, 28, N 6 (p. 10–33 in Russian edition).

    Google Scholar 

  • Ipatov, S.I.: 1995a, “Gravitational interaction of objects moving in crossing orbits.” Solar System Research, 29, N 1 (p. 1–13in Russian edition).

    Google Scholar 

  • Ipatov, S.I.: 1995b, “Migration of small bodies to the Earth.” Solar System Research,29, N 4 (in press).

    Google Scholar 

  • Wetherill, G.W.: 1985, “Occurrence of giant impacts during the growth of the terrestrial planets.” Science, 228, 877–879.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Ipatov, S.I. (1995). Migration of Bodies in the Accumulation of Planets. In: Chahine, M.T., A’Hearn, M.F., Rahe, J., Solomon, P., Nickle, N.L. (eds) Comparative Planetology with an Earth Perspective. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1092-3_20

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1092-3_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4636-9

  • Online ISBN: 978-94-017-1092-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics