23 citations
- Plekhanov Russian University of EconomicsRU4 papers
- Astronomical Institute of the Slovak Academy of SciencesSK2 papers
- Institute of Engineering ScienceRU1 paper
- Kherson State Agrarian and Economic UniversityUA1 paper
- Nizhny Novgorod State Pedagogical UniversityRU1 paper
- Nizhny Novgorod State Technical UniversityRU1 paper
- Odesa I. I. Mechnikov National UniversityUA1 paper
- University of RzeszówPL1 paper
6 papers
Revisiting the dynamics of finite-sized satellite near the planet in ER3BP
Sergey Ershkov, Dmytro Leshchenko, Alla Rachinskaya
A novel approach for solving equations of motion of finite-sized satellite supposed to be moving in a proximity and around the planet in the elliptic restricted three-body problem,…
On the motion of satellite around the natural moons of planets using the concept of ER3BP with variable eccentricity
Sergey Ershkov, Dmytro Leshchenko, Evgeniy Prosviryakov
In the current study, we explore stability of motion of satellite around the natural moons of planets in Solar system using the novel concept of ER3BP with variable eccentricity. T…
Analysis of the size of Solar system close to the state with zero total angular momentum via Sundman inequality
Sergey Ershkov, Dmytro Leshchenko
In this paper, we present a new mathematical approach or solving procedure for analysis of the Sundman inequality (for estimating the moment of inertia of the Solar system configur…
A new solving procedure for the Kelvin&Kirchhoff equations in case of falling a rotating torus
Sergey Ershkov, Dmytro Leshchenko, Ayrat Giniyatullin
We present in this communication a new solving procedure for Kelvin&Kirchhoff equations, considering the dynamics of falling the rigid rotating torus in an ideal incompressible flu…
Strong topology on the set of persistence diagrams
Volodymyr Kiosak, Aleksandr Savchenko, Mykhailo Zarichnyi
We endow the set of persistence diagrams with the strong topology (the topology of countable direct limit of increasing sequence of bounded subsets considered in the bottleneck dis…
Physical aspects of self-organization processes in composites. 2. The structure and interaction of inner boundaries
Alexander Herega
A model of the oscillatory component of interaction of inner boundaries is studied; and the features of generation of the composite structure in interim asymptotics are considered.…