Gravitational analog of Bohr’s theory for the solar system

Physics, Astronomy, Astrophysics

  • J.J Rawal The Indian Planetary Society, B/201, Vishnu Apartment, L.T. Road, Borivali (W), Mumbai-400092, India
  • Bijan Nikouravan Department of Physics, Islamic Azad University, Iran and The Indian Planetary Society, Mumbai, India https://orcid.org/0000-0003-4308-1632
Keywords: Roche limit-Planetary Distance Law, Gravitational Quantum Condition on Angular Momentum, Gravitational-Planck’s constant, Correspondence Principle-Planck’s constant in atomic scale, One-to-one correspondence between the Planetary Distance Low and Electron Orbital Distance Low, The role of resonance in generating discrete orbits in the planetary / Satellite system

Abstract

In this paper, the gravitational analog of Bohr’s theory for the Solar System is presented by deriving explicit expressions for the gravitational analog of Bohr’s quantum condition on angular momentum of a secondary (planet or satellite) revolving around its primary (the Sun or a planet) and Planck’s constant , in terms of known physical quantities of the System (the Solar or a Satellite System). The correspondence principle connecting atomic theory and gravitational theory is stated. It turns out that the ground state orbit of an electron in an atom corresponds to the Roche limit of the primary (defined in the text) in the gravitational case. The gravitational Planck’s constant hG , when taken into atomic-scale via the Correspondence principle gives an expression for the Planck’s constant of the atomic scale. It has shown here that a one-to-one correspondence exists between the Planetary Distance Law and the Electron Orbital Distance Law.

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Author Biographies

J.J Rawal, The Indian Planetary Society, B/201, Vishnu Apartment, L.T. Road, Borivali (W), Mumbai-400092, India

Biography of Prof J.J. Rawal: 

Rawal.jpg

Prof. Dr. J. J. Rawal conducted research on Rings around Galaxies, Clouds of Comets around the Solar and Satellite Systems, Lagrangian Points, Planetary Distance Law, Resonant Structures in the Solar System, New asteroidal Belts in the Solar and Satellite Systems, Intra-Mercurial Planets, whether there are satellites around Mercury and Venus.

Bijan Nikouravan, Department of Physics, Islamic Azad University, Iran and The Indian Planetary Society, Mumbai, India

Biography of Associate Prof. Bijan Nikouravan: 

Bijan.jpg

Prof. Dr. B. Nikouravan conducted research on the gravitational field of elliptical objects and ‎General Relativity, Theoretical Astrophysics and New Exoplanets, Cosmology, Atmospheric Physics, Structure of stars, Earthquake, Geophysics.

References

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Hoyle, F., & Wickramasinghe, N. (1968). Condensation of the planets. Nature, 217(5127), 415.

Hoyle.F. (1960). The formation of the sun and planets. Quart. J. Roy. Astron. Soc. 1, 28.

Rawal, J. (1981). Resonant structures in the solar system. The moon and the planets, 24(4), 407-414.

Rawal, J. (1984). Contraction of the solar nebula. Earth, Moon, and Planets, 31(2), 175-182.

Rawal, J. (1986). Further considerations on contracting solar nebula. Earth, Moon, and Planets, 34(1), 93-100.

Rawal, J. (1989a). Contractions of subsolar nebulae. Earth, Moon, and Planets, 44(3), 265-274.

Rawal, J. (1989b). Planetary distance law. Earth, Moon, and Planets, 44(3), 295-296.

Rawal, J. (1989c). Planetary distance law and resonance. Journal of Astrophysics and Astronomy, 10(3), 257-259.

Published
2019-09-14
How to Cite
Rawal, J., & Nikouravan, B. (2019). Gravitational analog of Bohr’s theory for the solar system. International Journal of Fundamental Physical Sciences (IJFPS), 9(3), 33-36. https://doi.org/10.14331/ijfps.2019.330128
Section
Articles