Abstract
A quantum-like model of gravitational system is introduced to explore the formation of the solar system structure. In this model, the chaos behavior of a large number of original nebular particles in a gravitational field can be described in terms of the wave function satisfying formal Schrodinger equation, in which the Planck constant is replaced by a constant on cosmic scale. Numerical calculation shows that the radial distribution density of the particles has the character of wave curves with decreasing amplitudes and elongating wavelengths. By means of this model, many questions of the solar system, such as the planetary distance, mass, energy, angular momentum, the distribution of satellites, the structure of the planetary rings, and the asteroid belt and the Kuiper belt etc., can be explained in reason. In addition, the abnormal rotations of Venus and Mercury can be naturally explained by means of the quantum-like model.
Highlights
There are many quantization phenomena on cosmic scale in the solar system, such as the planetary distance, orbital energy and angular momentum, the distribution of regular satellites of giant planets, planetary ring system, and so on
The chaos behavior of a large number of original nebular particles in a gravitational field can be described in terms of the wave function satisfying formal Schrödinger equation, in which the Planck constant is replaced by a constant g on cosmic scale
According to the shape and the initial revolving angular momentum of observed proto-planetary nebula disks, most of the nebular particles should be in states of the azimuthal quantum number ml = l, in which the particles revolve in the same direction around the equatorial plane of the system
Summary
There are many quantization phenomena on cosmic scale in the solar system, such as the planetary distance, orbital energy and angular momentum, the distribution of regular satellites of giant planets, planetary ring system, and so on. Among these phenomena, the planetary distance law, called Titius-Bode law [1], is the most famous one. The common view of these hypotheses is that the quantum mechanics theory can be applied to the microscopic field, and possibly to the gravitational field in the cosmic scale, with the large scale Planck constants Among these researchers, some used the analogy between the planetary orbits and Bohr-Sommerfeld quantization orbits, while others applied the Schrödinger equation or Schrödingerlike equation to planetary system. This paper attempts to systematically illustrate the origin of the solar system structure including planetary distance and mass, distribution of regular satellites, the asteroid belt and Kuiper belt, the structure of rings and so on
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