About: Uniform projectile motion: dynamics, symmetries and conservation laws

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en)
Title	Uniform projectile motion: dynamics, symmetries and conservation laws Uniform projectile motion: dynamics, symmetries and conservation laws (en)
skos:prefLabel	Uniform projectile motion: dynamics, symmetries and conservation laws Uniform projectile motion: dynamics, symmetries and conservation laws (en)
skos:notation	RIV/61989100:27600/14:86092494!RIV15-MSM-27600___
http://linked.open...avai/riv/aktivita	P V
http://linked.open...avai/riv/aktivity	P(GA201/09/0981), V
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Volný, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Katedra matematiky a deskriptivní geometrie
http://linked.open...dnocenehoVysledku	51955
http://linked.open...ai/riv/idVysledku	RIV/61989100:27600/14:86092494
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	nonholonomic conservation law; constrained Noetherian symmetry; nonholonomic Hamilton equations; reduced and deformed equations of motion; projectile motion; nonholonomic mechanical systems (en)
http://linked.open.../riv/klicoveSlovo	constrained Noetherian symmetry nonholonomic Hamilton equations nonholonomic mechanical systems projectile motion reduced and deformed equations of motion nonholonomic conservation law
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[4F9274BFEFBF]
http://linked.open...i/riv/nazevZdroje	Reports on Mathematical Physics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Global Analysis and the Geometry of Fibred Spaces
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	73
http://linked.open...iv/tvurceVysledku	Volný, Petr Swaczyna, Martin
http://linked.open...ain/vavai/riv/wos	000337198100003
issn	0034-4877
number of pages	24 (xsd:int)
http://localhost/t...ganizacniJednotka	27600

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