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All Journal International Journal of Scientific Multidisciplinary Research (IJSMR) International Journal of Sustainable Applied Sciences (IJSAS)
Amitabh Kumar
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Law, Crime, Criminology & Criminal Justice Mechanical Engineering Social Sciences

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Proof of Kepler's Laws through the Lens of Newtonian Dynamics Amitabh Kumar
International Journal of Sustainable Applied Sciences Vol. 2 No. 8 (2024): August 2024
Publisher : MultiTech Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59890/ijsas.v2i8.2316

Abstract

At the beginning of the 17th century, Johannes Kepler developed the laws of planetary motion, which became fundamental to understanding the motion of celestial bodies. These principles have been crucial in forming our knowledge of the solar system and help us comprehend how planets orbit the Sun in elliptical orbits. Although Kepler's laws were derived from empirical observations, Isaac Newton's laws of motion and universal gravitation provided a solid theoretical foundation. This research article examines the evidence for Kepler's laws from a Newtonian dynamics perspective, highlighting the harmonious relationship between Kepler's observational discoveries and Newton's mathematical principles.
A New Approach to the Derivation of Newton’s Law of Gravitation by Utilizing Kepler’s Laws Amitabh Kumar
International Journal of Scientific Multidisciplinary Research Vol. 2 No. 9 (2024): September 2024
Publisher : PT FORMOSA CENDEKIA GLOBAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55927/ijsmr.v2i9.11414

Abstract

This studies article explores a novel method to derive Newton’s Standard regulation of Gravitation by using utilising Kepler’s laws of planetary motion. Kepler's empirical laws provided the muse for information planetary orbits, but it become Newton’s formulation of the law of gravitation that unified those observations within a framework of classical mechanics. This observe revisits the connection between Kepler’s legal guidelines and Newton’s idea, presenting an alternative derivation primarily based on Keplerian standards. by way of reformulating key ideas in phrases of orbital dynamics and pressure interactions, this approach offers a clearer physical interpretation of ways Newton's inverse-rectangular law arises from Kepler's observations
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