title: Minimal velocity surface in the restricted circular Three-Body-Problem
metadata.name: dc.contributor.author
metadata.value: Kholshevnikov, Konstantin V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Titov, Vladimir B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-12-21T20:07:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-12-21T20:07:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kholshevnikov K. V., Titov V. B. Minimal velocity surface in the restricted circular Three-Body-Problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 4, pp. 734–742.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.413
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/21923
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the framework of the restricted circular Three-Body-Problem, the concept of the minimum velocity surface S is introduced, which is a modification of the zero-velocity surface
  (Hill surface). The existence of Hill surface requires occurrence of the Jacobi integral. The
  minimum velocity surface, other than the Jacobi integral, requires conservation of the sector velocity of a zero-mass body in the projection on the plane of the main bodies motion. In other words, there must exist one of the three angular momentum integrals. It is shown
  that this integral exists for a dynamic system obtained after a single averaging of the original system by longitude of the main bodies. Properties of S are investigated. Here is the
  most significant. The set of possible motions of the zero-mass body bounded by the surface
  S is compact. As an example the surfaces S for four small moons of Pluto are considered
  in the framework of the averaged problem Pluto — Charon — small satellite. In all four
  cases, S represents a topological torus with small cross section, having a circumference in
  the plane of motion of the main bodies as the center line.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research was carried out using the equipment of the resource center of the Science Park of St. Petersburg State University "Computing Center" and was supported by the Russian Foundation for Basic Research, project No 18-02-00552.
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 7 (65); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: restricted circular Three-Body-Problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: zero velocity surface
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: region of feasibility
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Minimal velocity surface in the restricted circular Three-Body-Problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 734-742.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/21923/1/734-742.pdf
resources.format: Adobe PDF
resources.size: 1,08 MB