| Title:
|
A sequence adapted from the movement of the center of mass of two planets in solar system (English) |
| Author:
|
Fialová, Jana |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
147-152 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
distribution function |
| Keyword:
|
g-discrepancy |
| Keyword:
|
sequence of points |
| Keyword:
|
center of mass |
| Keyword:
|
trajectory of two planets |
| Keyword:
|
solar system |
| MSC:
|
11K31 |
| MSC:
|
70F05 |
| idZBL:
|
Zbl 1411.11071 |
| idMR:
|
MR3898199 |
| . |
| Date available:
|
2019-05-07T09:25:27Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147654 |
| . |
| Reference:
|
[1] Dick, J., Pillichshammer, F.: Digital Nets and Sequences.2010, Cambridge University Press, New York, MR 2683394 |
| Reference:
|
[2] Horák, Z., Krupka, F.: Fyzika. Příručka pro vysoké školy technického směru.1981, Praha: Nakladatelství technické literatury, |
| Reference:
|
[3] Kuipers, L., Niederreiter, H.: Uniform Distribution of Sequences.1974, John Wiley, (reprint edition published by Dover Publications, Inc. Mineola, New York in 2006). Zbl 0281.10001, MR 0419394 |
| Reference:
|
[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. MR 2290224 |
| . |
