32 citations · 198 across the 11 of their papers we have counts for
13 papers
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…
Sitnikov-type solution for the motion of infinitesimal mass in BiER4BP
Sergey Ershkov, Alla Rachinskaya
In this paper, we present a new ansatz for approximated solving equations of motion of the infinitesimal mass m in case of bi-elliptic restricted problem of four bodies (BiER4BP) (…
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…
On a new type of solving procedure for Laplace tidal equation
Sergey V. Ershkov, Roman V. Shamin
In this paper, we present a new approach for solving Laplace tidal equations (LTE) which was formulated first in [S.V.Ershkov, A Riccati-type solution of Euler-Poisson equations of…