IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i3p1481-1500.html
   My bibliography  Save this article

A statistical approach to investigate the formation of the solar system

Author

Listed:
  • Krot, Alexander M.

Abstract

A model describing a gravitational effect into a forming gravitating and rotating cosmological body based on the statistical theory has been proposed. In this model, the forming cosmological bodies are shown to have fuzzy contours and are represented by spheroidal forms. The proposed theory starts from the conception for forming a spheroidal body from a gas-dust protoplanetary nebula. The distribution functions together with the mass densities and gravitational field potentials for an immovable spheroidal body as well as rotating one have been derived. This work also considers problem of gravitational condensation of a gas-dust protoplanetary cloud with a view to protoplanet formation in its own gravitational field. It is known a protoplanetary system behavior can be described by Jeans’ equation in partial derivations relative to a distribution function. The paper derives a more general evolutional equation which generalizes the Jeans’ equation. Since the determination of gravitational potential (and mass density) is the main problem of statistical dynamics for protoplanetary system, then the work shows how this task of protoplanetary dynamics can be solved on the basis of the proposed spheroidal body theory. Within the framework of this theory, the distribution function of a specific angular momentum of a rotating uniformly spheroidal body has been found. As the specific angular momentums are averaged during a conglomeration process, the specific angular momentum of a protoplanet for a planetary system is found in this paper. The proposed theory is also applied to investigate formation of planets in our solar system. As a result, a new law for the solar system planetary distances (which generalizes the well-known Schmidt law) is derived in this paper. It has been shown that the new law gives a very good estimation of observable planetary distances in the solar system.

Suggested Citation

  • Krot, Alexander M., 2009. "A statistical approach to investigate the formation of the solar system," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1481-1500.
  • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1481-1500
    DOI: 10.1016/j.chaos.2008.06.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908002786
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2008.06.014?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Pintr, P. & Peřinová, V. & Lukš, A., 2008. "Allowed planetary orbits in the solar system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1273-1282.
    2. de Oliveira Neto, Marçal, 2006. "Pythagoras’ celestial spheres in the context of a simple model for quantization of planetary orbits," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 399-406.
    3. Robin M. Canup & Erik Asphaug, 2001. "Origin of the Moon in a giant impact near the end of the Earth's formation," Nature, Nature, vol. 412(6848), pages 708-712, August.
    4. Oliveira Neto, Marçal de, 2005. "Using the dimensionless Newton gravity constant α¯G to estimate planetary orbits," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 19-27.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Giné, Jaume, 2007. "On the origin of the gravitational quantization: The Titius–Bode law," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 363-369.
    2. Pintr, P. & Peřinová, V. & Lukš, A., 2008. "Allowed planetary orbits in the solar system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1273-1282.
    3. de Oliveira Neto, Marçal, 2007. "On a mass independent approach leading to planetary orbit discretization," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 740-747.
    4. Miki Nakajima & Hidenori Genda & Erik Asphaug & Shigeru Ida, 2022. "Large planets may not form fractionally large moons," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    5. Christoph Otzen & Hanns-Peter Liermann & Falko Langenhorst, 2023. "Evidence for a rosiaite-structured high-pressure silica phase and its relation to lamellar amorphization in quartz," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1481-1500. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.