Uniform motions in central fields

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F17%3AA1801KFL" target="_blank" >RIV/61988987:17310/17:A1801KFL - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27600/17:10238202

Výsledek na webu

<a href="http://dx.doi.org/10.3934/jgm.2017004" target="_blank" >http://dx.doi.org/10.3934/jgm.2017004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/jgm.2017004" target="_blank" >10.3934/jgm.2017004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Uniform motions in central fields

Popis výsledku v původním jazyce

We present a theoretical problem of uniform motions, i.e. motions with constant magnitude of the velocity in central fields as a nonholonomic system of one particle with a nonlinear constraint. The concept of the article is in analogy with the recent paper [21]. The problem is analysed from the kinematic and dynamic point of view. The corresponding reduced equation of motion in the Newtonian central gravitational field is solved numerically. Appropriate trajectories for suitable initial conditions are presented. Symmetries and conservation laws are investigated using the concept of constrained Noetherian symmetry [9] and the corresponding constrained Noetherian conservation law.Isotachytonic version of the conservation law of mechanical energy is found as one of the corresponding constraint Noetherian conservation law of this nonholonomic system.

Název v anglickém jazyce

Uniform motions in central fields

Popis výsledku anglicky

We present a theoretical problem of uniform motions, i.e. motions with constant magnitude of the velocity in central fields as a nonholonomic system of one particle with a nonlinear constraint. The concept of the article is in analogy with the recent paper [21]. The problem is analysed from the kinematic and dynamic point of view. The corresponding reduced equation of motion in the Newtonian central gravitational field is solved numerically. Appropriate trajectories for suitable initial conditions are presented. Symmetries and conservation laws are investigated using the concept of constrained Noetherian symmetry [9] and the corresponding constrained Noetherian conservation law.Isotachytonic version of the conservation law of mechanical energy is found as one of the corresponding constraint Noetherian conservation law of this nonholonomic system.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Geometric Mechanics

ISSN

1941-4889

e-ISSN

1941-4897

Svazek periodika

9

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

40

Strana od-do

91-130

Kód UT WoS článku

000397806900004

EID výsledku v databázi Scopus

2-s2.0-85016771196