A De Broglie-Like Wave in the Planetary Systems

In this work we do an "interpolation" of Scardigli theory of a quantum-like description of the planetary system that reproduces remarkable Titius-Bode-Richardson rule. More precisely, instead of simple, approximate, Bohr-like theory, or, accurate, Schr\(\ddot{o}\)dinger-like theory, consid...

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Bibliographic Details
Published inarXiv.org
Main Authors Pankovic, Vladan, Glavatovic, Rade, Mandic, Marko, Bozic-Sremac, Vojislav
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.03.2009
Subjects
Atomic physics
Interpolation
Number theory
Planetary orbits
Planetary systems
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Summary:In this work we do an "interpolation" of Scardigli theory of a quantum-like description of the planetary system that reproduces remarkable Titius-Bode-Richardson rule. More precisely, instead of simple, approximate, Bohr-like theory, or, accurate, Schr\(\ddot{o}\)dinger-like theory, considered by Scardigli, we suggest originally a semi-accurate, de Broglie-like description of the planetary system. Especially, we shall propose a de Broglie-like waves in the planetary systems. More precisely, in distinction from Scardigly (which postulated absence of the interference phenomena at planet orbits) we shall prove that, roughly speaking, planets orbits equal a sum of natural numbers of two types, large and small, of the de-Broglie-like waves. It is similar to well-known situation in atomic physics by interpretation of Bohr momentum quantization postulate by de Broglie relation.
ISSN:2331-8422