title: Stokes constants of an oblate ellipsoid of revolution with equidensites homothetic to its surface
metadata.name: dc.contributor.author
metadata.value: Kholshevnikov, Konstantin V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Milanov, Danila V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shaidulin, Vakhit Sh.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-09-20T13:58:44Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-09-20T13:58:44Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kholshevnikov K.V., Milanov D.V., Shaidulin V. Sh. Stokes constants of an oblate ellipsoid of revolution with equidensites homothetic to its surface. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 3, pp. 516–524.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.313
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/7153
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Theory of the figures of equilibrium was developed actively during XIX century when causes making the
  form of observable massive celestial bodies (the Sun, planets, moons) almost ellipsoidal were discovered.
  The existence of exactly ellipsoidal figures was established. The gravitational potential of such figures
  can be presented as Laplace series. Its coefficients (Stoke’s constants In) are defined by a certain integral
  operator. The general term of the series was found in case of a homogeneous ellipsoid, and first few terms
  were found for several other mass distributions. Here we have found the general term of the series for an
  arbitrary mass distributions under condition that equidensits (surfaces of equal density) are homothetic
  to the outer surface of the ellipsoid of revolution. Simple estimates and asymptotics of In are also found.
  Refs 13.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке Программы проведения фундаментальных исследований СПбГУ по приоритетным направлениям (грант 6.37.341.2015).
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 4 (62); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: gravitational potential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Laplace series
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ellipsoid
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Stokes constants of an oblate ellipsoid of revolution with equidensites homothetic to its surface
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 13-Kholshevnikov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/7153/1/13-Kholshevnikov.pdf
resources.format: Adobe PDF
resources.size: 256,99 kB