Uniform projectile motion: dynamics, symmetries and conservation laws

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F14%3AA1401AO4" target="_blank" >RIV/61988987:17310/14:A1401AO4 - isvavai.cz</a>

Alternative codes found

RIV/61989100:27600/14:86092494

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Uniform projectile motion: dynamics, symmetries and conservation laws

Original language description

A geometric nonholonomic theory is applied to the problem of uniform projectile motion, i.e. motion of a projectile with constant instantaneous speed. The problem is investigated from the kinematic and dynamic point of view. Corresponding kinematic parameters of classical and uniform projectile motion are compared, nonholonomic Hamilton equations are derived and their solvability is discussed. Symmetries and conservation laws of the considered system are studied, the nonholonomic formulation of a conservation law of generalized energy is found as one of the corresponding Noetherian first integrals of this nonholonomic system.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Global Analysis and the Geometry of Fibred Spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2014

Confidentiality

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

Name of the periodical

Reports on Mathematical Physics

ISSN

0034-4877

e-ISSN

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Volume of the periodical

73

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

24

Pages from-to

177-200

UT code for WoS article

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EID of the result in the Scopus database

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