title: Laplace series of ellipsoidal figures of revolution
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: 2017-12-27T14:48:19Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-12-27T14:48:19Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kholshevnikov K.V., Milanov D.V., Shaidulin V. Sh. Laplace series of ellipsoidal figures of revolution. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 4, pp. 695–703.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.417
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8814
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 by Laplace series. Its coefficients (Stokes constants In) are defined by a certain integral
  operator. The general term of the series was found under condition that equidensits (surfaces of equal
  density) are homothetic to the outer surface of the ellipsoid of revolution. First few terms were found
  for several other mass distributions. Here we have found the general term of the series under condition
  that equidensits are ellipsoids of revolution with an oblateness increasing from the centre to the surface.
  Simple estimates and asymptotics of In are also found. It turned out that asymptotics depends on the
  mean density, the density on the surface of the outer ellipsoid, and its oblateness only. Refs 12. Fig. 1.
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) и РФФИ (грант №17-02-00542).
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 4
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: Stokes coefficients
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ellipsoid
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Laplace series of ellipsoidal figures of revolution
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 17-Kholshevnikov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8814/1/17-Kholshevnikov.pdf
resources.format: Adobe PDF
resources.size: 389,45 kB