An approximate superposition method to obtain a planet's orbit

Iyer, Abhinav G. and Bhatnagar, Siddharth and Vyasanakere, Jayanth and Murthy, Jayant (2021) An approximate superposition method to obtain a planet's orbit. European Journal of Physics. pp. 1-10. ISSN 1361-6404

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Abstract

We demonstrate that the deviation produced by one celestial object on the Keplerian orbit of another around the Sun is largely independent of the presence of the remaining ones. Hence, to calculate the net deviation of an object from its Keplerian orbit, we superpose the deviations produced by every other object. We show that this method will be useful when dealing with a system containing a large number of objects. As a demonstration, we apply our method to the solar system, with a particular focus on the orbit of Uranus.

Item Type: Article
Authors: Iyer, Abhinav G. and Bhatnagar, Siddharth and Vyasanakere, Jayanth and Murthy, Jayant
Uncontrolled Keywords: Superposition, Uranus, Numerical method, Computational time
Subjects: Natural Sciences > Physics
Divisions: Azim Premji University > School of Arts and Sciences
Full Text Status: Restricted
URI: http://publications.azimpremjifoundation.org/id/eprint/2997
Publisher URL: https://iopscience.iop.org/article/10.1088/1361-64...

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