title: On the representation of the gravitational potential of several model bodies
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, Eduard D.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kholshevnikov, Konstantin V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shaidulin, Vakhit Sh.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-28T16:15:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-28T16:15:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuznetsov E.D., Kholshevnikov K.V., Shaidulin V. Sh. On the representation of the gravitational potential of several model bodies. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 489–497.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.317
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3919
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Laplace series with respect to spherical functions Yn(θ, λ) represents now a most popular form of the
  gravitational potential representation for a compact body T in the outer space in spherical coordinates
  r, θ, λ. There exists a well-known estimate  Yn    Cn−5/2, C = const, n   1 of the Chebyshevian norm
  (maximum of the modulus) for bodies of irregular structure. In the present paper an explicit representation
  of Yn(θ, λ) for several model bodies is obtained. The indicated estimate  Yn  is valid under the exact
  exponent 5/2 for all cases except one. If the segment touches the enveloping sphere, then  Yn  decreases
  much faster. Namely,  Yn    Cn−5/2pn, C = const, n   1. The quantity p < 1 equals to the distance
  from the origin of coordinates to the edge of the segment expressed in radii of the enveloping sphere. The
  exactness of exponent 5/2 is valid in common case by examples of bodies which more or less reminiscent
  of real celestial bodies. Refs 16. Figs 6.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке Постановления №211 Правительства Российской Федерации (контракт №02. A03.21.0006), РФФИ (грант 14-02-00804) и 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. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); 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: rate of convergence
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the representation of the gravitational potential of several model bodies
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Kuznetsov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3919/1/Kuznetsov.pdf
resources.format: Adobe PDF
resources.size: 328,86 kB