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Uniform motions in central fields

The result's identifiers

  • Result code in 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>

  • Alternative codes found

    RIV/61989100:27600/17:10238202

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Uniform motions in central fields

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Geometric Mechanics

  • ISSN

    1941-4889

  • e-ISSN

    1941-4897

  • Volume of the periodical

    9

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    40

  • Pages from-to

    91-130

  • UT code for WoS article

    000397806900004

  • EID of the result in the Scopus database

    2-s2.0-85016771196