A Novel Mathematical Model for Understanding Celestial Rotation and Vibration Dynamics


Authors : Sandeep Kumar Mitra

Volume/Issue : Volume 10 - 2025, Issue 11 - November


Google Scholar : https://tinyurl.com/3udx4zt2

Scribd : https://tinyurl.com/52yyj44y

DOI : https://doi.org/10.38124/ijisrt/25nov768

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : This study proposes a novel mathematical equation which accurately describes the relationship between rotation period, mass, radius and frequency factor of vibration for the Sun, Earth and Moon. The proposed Equation stands for spherical, oblate spheroid Celestial bodies. It is hypothesized that the Sun’s vibration contributes to its rotation about its axis. The Sun, as the central body of the solar system, exerts significant influence on vibration and rotation of other Celestial bodies Earth, Moon which also vibrates in almost same frequency as the sun vibrates. The Sun controls the planets along with their satellites to revolve around it and also rotate about their axis. It has also been observed that due to high magnitude of earthquake, the angular rotation speed of the earth increases and gradually it retains to the original rotation speed. The equation is validated using publicly available data and offers new insights into Celestial mechanics.

Keywords : Celestial Bodies (E.G., Sun, Earth, Moon), Celestial Mechanics, Solar System, Rotation Period, Sun Dynamics, Radius of Celestial Bodies, Mass of Celestial Bodies, Frequency Factor of Vibration of Celestial Bodies, Frequency Factor of Vibration of the Sun, Mathematical Modelling.

References :

  1. Royal Museums Greenwich Solar-System-Data.
  2. Cole G.H.A., Connell H.J. 1987, Satellites of the Solar System, 97 (4), 225-227
  3. Scherrer D.,2013, Our-Solar-System-Book.pdf. solar-center.stanford.edu
  4. Sarah Frazier, 2018, The Sun accounts for about 99.8% of the total mass of the solar system

This study proposes a novel mathematical equation which accurately describes the relationship between rotation period, mass, radius and frequency factor of vibration for the Sun, Earth and Moon. The proposed Equation stands for spherical, oblate spheroid Celestial bodies. It is hypothesized that the Sun’s vibration contributes to its rotation about its axis. The Sun, as the central body of the solar system, exerts significant influence on vibration and rotation of other Celestial bodies Earth, Moon which also vibrates in almost same frequency as the sun vibrates. The Sun controls the planets along with their satellites to revolve around it and also rotate about their axis. It has also been observed that due to high magnitude of earthquake, the angular rotation speed of the earth increases and gradually it retains to the original rotation speed. The equation is validated using publicly available data and offers new insights into Celestial mechanics.

Keywords : Celestial Bodies (E.G., Sun, Earth, Moon), Celestial Mechanics, Solar System, Rotation Period, Sun Dynamics, Radius of Celestial Bodies, Mass of Celestial Bodies, Frequency Factor of Vibration of Celestial Bodies, Frequency Factor of Vibration of the Sun, Mathematical Modelling.

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Paper Submission Last Date
31 - January - 2026

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