title: Design of the stabilizing control of the orbital motion using the analytical representation of an invariant manifold in the vicinity of a collinear libration point
metadata.name: dc.contributor.author
metadata.value: Maliavkin, Georgii Pavlovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shmyrov, Vasilii Aleksandrovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shmyrov, Aleksandr Sergeevich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-05-18T12:37:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-05-18T12:37:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Maliavkin G. P., Shmyrov V. A., Shmyrov A. S. Design of the stabilizing control of the orbital motion using the analytical representation of an invariant manifold in the vicinity of a collinear libration point. Vestnik of Saint Petersburg University. Applied mathematics. Computer science. Control processes, 2017, volume 13, issue 1, pp. 102–112.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2017.110
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6357
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article is devoted to the problem of stabilization of orbital motion in the vicinity of the collinear libration point L1 of the Sun—Earth system. The key concept of the suggested
  approach is the so-called hazard function. The latter is a function of the phase variables of
  the Hill’s approximation of the circular restricted three-body problem, which is defined as a
  nondegenerate solution of some partial differential equation. The hazard function can be used
  for the analytical representation of an invariant manifold in the vicinity of the libration point.
  Approximations of the hazard function of the first, second and the third order are obtained with
  the method of indefinite coefficients. These approximations are then used in the construction of
  three motion stabilizing control laws. Numerical modelling of the controlled motion is applied
  to compare these laws with respect to the energy consumptions. Refs 8. Figs 3. Table 1.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке Санкт-Петербургского государственного университета (грант № 9.37.345.2015).
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. Applied Mathematics. Computer Science. Control Processes;Volume 13; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: restricted three-body problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: collinear libration point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: invariant manifold
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stabilizing control of motion
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Design of the stabilizing control of the orbital motion using the analytical representation of an invariant manifold in the vicinity of a collinear libration point
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Malyavkin.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6357/1/10-Malyavkin.pdf
resources.format: Adobe PDF
resources.size: 323,7 kB