title: Integrability by quadratures of the problem of rolling motion of a heavy homogeneous ball on a surface of revolution of the second order
metadata.name: dc.contributor.author
metadata.value: Kuleshov, Alexander S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shishkov, Alexander A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-07-04T12:34:15Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-07-04T12:34:15Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuleshov A. S., Shishkov A.A. Integrability by quadratures of the problem of rolling motion of a heavy homogeneous ball on a surface of revolution of the second order. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 2, pp. 347–353. https://doi.org/10.21638/spbu01.2024.208 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45699
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we consider the problem of rolling of a heavy homogeneous ball on a perfectly
  rough surface of revolution. Usually, when considering this problem, it is convenient to
  specify explicitly the surface along which the center of the ball moves during rolling, instead
  of the surface along which the ball rolls. The surface on which the center of the ball moves is
  equidistant to the surface on which the ball is rolling. It is well known, that the considered
  problem is reduced to the integration the second order linear homogeneous differential
  equation. In this paper we assume, that the surface along which the center of the ball
  moves is a non — degenerate surface of revolution of the second order. Using the Kovacic
  algorithm we prove that the general solution of the corresponding linear differential equation
  can be found explicitly. This means, that in this case the problem of rolling of a ball on a
  surface of revolution can be integrated by quadratures.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Science Foundation (project no.RAI-RSF-2490).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: rolling without sliding
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: homogeneous ball
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: surface of revolution of the 2nd order
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: integrability by quadratures
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Integrability by quadratures of the problem of rolling motion of a heavy homogeneous ball on a surface of revolution of the second order
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 347-353.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45699/1/347-353.pdf
resources.format: Adobe PDF
resources.size: 269,24 kB