Zobrazeno 1 - 10
of 60
pro vyhledávání: '"A. N. Prokopenya"'
Autor:
A. N. Prokopenya
Publikováno v:
Mathematical Modelling and Analysis, Vol 11, Iss 1 (2006)
An algorithm is proposed for analytical computing the stability boundaries of the Lagrange triangular solutions in the elliptic restricted three‐body problem. It is based on the infinite determinant method. The algorithm has been implemented by usi
Externí odkaz:
https://doaj.org/article/d59bc69117124bccba0954340ce807c0
Autor:
A. N. Prokopenya
Publikováno v:
Mathematical Modelling and Analysis, Vol 10, Iss 2 (2005)
We consider the hamiltonian system of linear differential equations with periodic coefficients. Using the infinite determinant method based on the existence of periodic solutions on the boundaries between the domains of stability and instability in t
Externí odkaz:
https://doaj.org/article/ad9dda44c6144032b18bbcc932ca7387
Publikováno v:
Computational Mathematics and Mathematical Physics. 63:115-125
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57323b39ea07065de54e3dd0dba7eb17
https://doi.org/10.1134/s0965542523010098
https://doi.org/10.1134/s0965542523010098
Autor:
Alexander N. Prokopenya
Publikováno v:
Programming and Computer Software. 47:43-49
In this paper, we discuss the problem of searching for equilibrium states of Atwood’s machine in which a pulley of a finite radius is replaced by two separate small pulleys and both masses can oscillate in a vertical plane. Differential equations o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fb16edefce25f1c463b58cc58684d6c
https://doi.org/10.1134/s0361768821010084
https://doi.org/10.1134/s0361768821010084
Publikováno v:
KES
The goal of the study is to determine the differentiation of production types of agricultural holdings in Poland based on the dynamics of changes, spatial differentiation and processes of convergence/divergence in comparison to EU countries. Analyzed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acaf6fbd5bc4622dc32c574f3b893e49
https://doi.org/10.1016/j.procs.2021.09.207
https://doi.org/10.1016/j.procs.2021.09.207
Autor:
Alexander N. Prokopenya
Publikováno v:
Programming and Computer Software. 46:120-125
The problem of finding a periodic motion of generalized Atwood’s machine in which the pulley of a finite radius is replaced by two small pulleys and one of the objects may oscillate in the vertical plane is discussed. Using symbolic computations, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcd4efb51df131a4a969c3e06c1411ad
https://doi.org/10.1134/s0361768820020085
https://doi.org/10.1134/s0361768820020085
Publikováno v:
Computational Mathematics and Mathematical Physics. 60:26-35
A nonstationary two-body problem is considered such that one of the bodies has a spherically symmetric density distribution and is central, while the other one is a satellite with axisymmetric dynamical structure, shape, and variable oblateness. Newt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40ee534d1f9afcc7360677186a2112d1
https://doi.org/10.1134/s0965542520010054
https://doi.org/10.1134/s0965542520010054
Publikováno v:
Theoretical and Applied Mechanics, Vol 47, Iss 1, Pp 63-80 (2020)
The translational-rotational motion of a triaxial body with constant dynamic shape and variable size and mass in a non-stationary Newtonian central gravitational field is investigated. Differential equations of motion of the triaxial body in the rela
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b99cd1edd5e22b36291e01ab99787d36
https://doi.org/10.2298/tam191130007m
https://doi.org/10.2298/tam191130007m
Publikováno v:
Mathematics in Computer Science. 14:241-251
The classical problem of three bodies of variable masses is considered in the case when two of the bodies are protoplanets and all the masses vary non-isotropically at different rates. The problem is analyzed in the framework of the planetary perturb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4102a55aabd98234b03efbda6dee908c
https://doi.org/10.1007/s11786-019-00437-0
https://doi.org/10.1007/s11786-019-00437-0
Publikováno v:
Programming and Computer Software. 45:73-80
The classical two-planet problem of three bodies of variable masses is studied in the general case when the body masses vary anisotropically at different rates. Differential equations of motion in terms of osculating elements of aperiodic motion alon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f310153604ab489d4493d79fdea42df
https://doi.org/10.1134/s0361768819020087
https://doi.org/10.1134/s0361768819020087