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

Jana Fialová

Communications in Mathematics (2018)

  • Volume: 26, Issue: 2, page 147-152
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Fialová, Jana. "A sequence adapted from the movement of the center of mass of two planets in solar system." Communications in Mathematics 26.2 (2018): 147-152. <http://eudml.org/doc/294743>.

@article{Fialová2018,
abstract = {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.},
author = {Fialová, Jana},
journal = {Communications in Mathematics},
keywords = {distribution function; g-discrepancy; sequence of points; center of mass; trajectory of two planets; solar system},
language = {eng},
number = {2},
pages = {147-152},
publisher = {University of Ostrava},
title = {A sequence adapted from the movement of the center of mass of two planets in solar system},
url = {http://eudml.org/doc/294743},
volume = {26},
year = {2018},
}

TY - JOUR
AU - Fialová, Jana
TI - A sequence adapted from the movement of the center of mass of two planets in solar system
JO - Communications in Mathematics
PY - 2018
PB - University of Ostrava
VL - 26
IS - 2
SP - 147
EP - 152
AB - 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.
LA - eng
KW - distribution function; g-discrepancy; sequence of points; center of mass; trajectory of two planets; solar system
UR - http://eudml.org/doc/294743
ER -

References

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  1. Dick, J., Pillichshammer, F., Digital Nets and Sequences, 2010, Cambridge University Press, New York, (2010) MR2683394
  2. Horák, Z., Krupka, F., Fyzika. Příručka pro vysoké školy technického směru, 1981, Praha: Nakladatelství technické literatury, (1981) 
  3. Kuipers, L., Niederreiter, H., Uniform Distribution of Sequences, 1974, John Wiley, (reprint edition published by Dover Publications, Inc. Mineola, New York in 2006). (1974) Zbl0281.10001MR0419394
  4. Strauch, O., Porubský, Š., Uniform Distribution of Sequences, 2005, Peter Lang, Frankfurt am Main, (Electronic revised version December 11, 2013) in: https://math.boku.ac.at/udt. (2005) MR2290224

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