title: Orbital precession in the restricted three-body problem: Exact representations
metadata.name: dc.contributor.author
metadata.value: Berezina, Alena A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-05-30T15:56:14Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-05-30T15:56:14Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Berezina А. А. Orbital precession in the restricted three-body problem: Exact representations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 185–197. https://doi.org/10.21638/spbu01.2024.113 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.113
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45460
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Analytical representations for the rate of apsidal precession in the planar elliptical restricted
  three-body problem are considered in the case when the orbit of the disturbing body is external
  to the orbit of the test particle. Analytical expressions are compared with numerical
  data obtained during numerous calculations of the precession rate. An analytical expression
  is obtained for the apsidal precession velocity in the form of a power series with a parameter
  equal to the ratio of the semi-major axes of the orbits of the test particle and the disturbing
  planet. It is shown that the analytical expressions for the velocity of the apsidal precession
  of the particle are reliable only at distances not close to the instability zone near the orbit
  of the disturbing planet. Near the Wisdom gap, the linear secular theory stops working.
  A correction empirical formula is proposed for calculating the apsidal precession rate at
  relatively high (less than 0.5) eccentricities of the particle and the disturbing planet. The
  proposed formulas are applied to the description of the precession of orbits in real exoplanetary
  systems.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Science Foundation (grant no. 22-22-00046).
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: restricted three-body problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: apsidal precession
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Wizdom gap
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exoplanets
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: planetary systems
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Orbital precession in the restricted three-body problem: Exact representations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 185-197.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45460/1/185-197.pdf
resources.format: Adobe PDF
resources.size: 1,65 MB