40 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Odessa State Academy of Civil Engineering and ArchitectureUA9 papers
- Semenov Institute of Chemical PhysicsRU7 papers
- Russian Academy of SciencesRU6 papers
- Lomonosov Moscow State UniversityRU4 papers
- Siberian Federal UniversityRU3 papers
- Astronomical Institute of the Slovak Academy of SciencesSK2 papers
- Institute of Engineering ScienceRU2 papers
- National Research Institute of Astronomy and GeophysicsEG2 papers
- Odesa I. I. Mechnikov National UniversityUA2 papers
- Amorfix (Canada)CA1 paper
- Bashkir State UniversityRU1 paper
- Bogolyubov Institute for Theoretical PhysicsUA1 paper
10 papers · 1 filter
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…
Semi-analytical solution for the trapped orbits of satellite near the planet in ER3BP
Sergey Ershkov, Alla Rachinskaya
In this paper, we present a new ansatz for solving equations of motion for the trapped orbits of the infinitesimal mass (satellite), which is locked in the space trap to be moving…
On the dynamics of non-rigid asteroid rotation
Sergey V. Ershkov, Dmytro Leshchenko
We have presented in this communication a new solving procedure for the dynamics of non-rigid asteroid rotation, considering the final spin state of rotation for a small celestial…
About influence of differential rotation in convection zone of gaseous or fluid giant Planet (Uranus) onto the parameters of orbits of satellites
Sergey V. Ershkov, Dmytro Leshchenko, Elbaz I. Abouelmagd
Tidal interactions between Planet and its satellites are known to be the main phenomena, which are determining the orbital evolution of the satellites. We suggest in the current re…
Notes on approaches for solving the Euler-Poisson equations
Sergey V. Ershkov, Dmytro Leshchenko
In this paper, we proceed to develop a new approach which was formulated first in Ershkov (2017) for solving Poisson equations: a new type of the solving procedure for Euler-Poisso…
Revisiting dynamics of Sun center relative to barycenter of Solar system
Sergey V. Ershkov, Dmytro Leshchenko
We introduce here in the current research the revisiting of approach to the dynamics of Sun center relative to barycenter of Solar system by using self-resulting photo-gravitationa…
Revisiting solving procedure for Ermakov-Pinney equation (with applications in the field of cosmology)
Sergey Ershkov, Victor Christianto, Elbaz I. Abouelmagd
It is known that Ermakov-Pinney equation is a nonlinear equation with wide applications in dynamics, physics, cosmology (e.g., Ermakov equation can be connected to Bose-Einstein Co…