1. bookVolume 26 (2018): Issue 2 (December 2018)
Journal Details
License
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Journal
First Published
16 Jun 2010
Publication timeframe
2 times per year
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English
access type Open Access

A sequence adapted from the movement of the center of mass of two planets in solar system

Published Online: 31 Dec 2018
Page range: 147 - 152
Received: 09 Oct 2017
Accepted: 10 Jun 2018
Journal Details
License
Format
Journal
First Published
16 Jun 2010
Publication timeframe
2 times per year
Languages
English

In this paper we derive a sequence from a movement of center of mass of arbitrary two planets in some solar system, where the planets circle on concentric circles in a same plane. A trajectory of center of mass of the planets is discussed. A sequence of points on the trajectory is chosen. Distances of the points to the origin are calculated and a distribution function of a sequence of the distances is found.

Keywords

MSC 2010

[1] J. Dick, F. Pillichshammer: Digital Nets and Sequences. Cambridge University Press, New York (2010).Search in Google Scholar

[2] Z. Horák, F. Krupka: Fyzika. Příručka pro vysoké školy technického směru. Praha: Nakladatelství technické literatury (1981).Search in Google Scholar

[3] L. Kuipers, H. Niederreiter: Uniform Distribution of Sequences. John Wiley (1974). (reprint edition published by Dover Publications, Inc. Mineola, New York in 2006)Search in Google Scholar

[4] O. Strauch, Š. Porubský: Uniform Distribution of Sequences. Peter Lang, Frankfurt am Main (2005). (Electronic revised version December 11, 2013) in: https://math.boku.ac.at/udtSearch in Google Scholar

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