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Scholars Journal of Physics, Mathematics and Statistics | Volume-6 | Issue-11
Ineraction between Kepler’s Law and Inverse-Square Law Sn Maitra
SN Maitra
Published: Nov. 29, 2019 |
123
77
DOI: 10.36347/SJPMS.2019.v06i11.005
Pages: 195-200
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Abstract
Combining Kepler’s second law with the Universal law of gravitation in case of an elliptic orbit of a satellite around
the Earth, Kepler’s third law is derived. Given the elliptic orbit of a satellite it is proved that its motion is governed by
the inverse-square law of gravitation and its orbital elements subject to the initial conditions are determined. The time
period of the elliptical orbit is determined applying Inverse –square law without involving Kepler’s law. However, this
is done by evaluating a definite integral with a technique other than that available in the relevant textbooks. While
closing, two examples demonstrating Inverse –square law of attraction and repulsion, ie, Coulomb’s law have been
worked out for the sake of pedagogy.