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A stochastic model for the orbits of planets and satellites: An interpretation of Titius-Bode law - MaRDI portal

A stochastic model for the orbits of planets and satellites: An interpretation of Titius-Bode law (Q789907)

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scientific article; zbMATH DE number 3846904
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English
A stochastic model for the orbits of planets and satellites: An interpretation of Titius-Bode law
scientific article; zbMATH DE number 3846904

    Statements

    A stochastic model for the orbits of planets and satellites: An interpretation of Titius-Bode law (English)
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    1983
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    The author proposes a stochastic model to explain the Titius-Bode law for the distributions of planets and satellites around Jupiter by studying a stochastic differential equation of a test paritcle moving along a trajectory of a diffusion process of the proto-nebula of the solar system. This model gives a mechanism for the original confinement of matter of the proto-nebula into concentric jet-streams at specific distances which are given by eigenfunctions of a Schrödinger Hamiltonian for the celestial system.
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    formation of planets
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    stochastic model
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    Titius-Bode law
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    distributions of planets and satellites around Jupiter
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    stochastic differential equation of a test paritcle
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    proto-nebula of the solar system
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    eigenfunctions of a Schrödinger Hamiltonian
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