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American Journal of Applied Mathematics and Statistics. 2021, 9(1), 1-3
DOI: 10.12691/AJAMS-9-1-1
Original Research

A Modification of the Formula for the Average Velocity of a Planet

Ilhan M. Izmirli1,

1George Mason University, United States

Pub. Date: January 15, 2021

Cite this paper

Ilhan M. Izmirli. A Modification of the Formula for the Average Velocity of a Planet. American Journal of Applied Mathematics and Statistics. 2021; 9(1):1-3. doi: 10.12691/AJAMS-9-1-1

Abstract

In this paper, we will deal with the problem of calculating the average velocity of a celestial object revolving around another celestial object in an elliptical orbit. After proving our main theorem to this effect, we will give some alternate forms of the formula for the average velocity, and show that this average value is in fact, attained at certain points of the orbit. We will conclude the paper by providing an intuitively natural and straightforward amendment of this formula.

Keywords

average velocity of a planet, first-order approximation, second-order approximation

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

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[2]  Dilgan, Hamit. 1953. Sur la vitesse moyenne des planets. In Zentralblatt Für Math. und ihre Grenzgebiete. 48 Band, Heft 1/5. August 1, 1953.
 
[3]  Gamow, George. 1962. Gravity. New York: Anchor Books, Doubleday & Co.
 
[4]  Curtis, Howard. 2009. Orbital Mechanics for Engineering Students. Butterworth-Heinemann.
 
[5]  Unsöld, Albrecht and Baschek, Bodo. 2001. The New Cosmos: An Introduction to Astronomy and Astrophysics. Translated by Brewer, W.D. Berlin. New York: Springer.