40 citations · 139 across the 11 of their papers we have counts for
11 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,…
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…
On the analytical solution in non-inertial frame of R2BP
Sergey Ershkov, Dmytro Leshchenko
In this analytical study, we have presented a new type of solving procedure with aim to obtain the coordinates of small mass m, which moves around primary M_Sun, referred to non-in…
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 non-stationary helical flows for incompressible couple stress fluid
Sergey V. Ershkov, Evgeniy Yu. Prosviryakov, Mikhail A. Artemov +1
We have explored here the case of three-dimensional non-stationary flows of helical type for the incompressible couple stress fluid with given Bernoulli-function in the whole space…
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…
Dynamics of a small planetoid in Newtonian gravity field of Lagrangian configuration of three primaries
Sergey V. Ershkov, Dmytro Leshchenko, Alla Rachinskaya
Novel method for semi-analytical solving of equations of a trapped dynamics for a planetoid m4 close to the plane of mutual motion of main bodies around each other (in case of a sp…
Revisiting Apophis 2029 approach to Earth (staying on shoulders of NASA experts) or Can we be sure in almost ricocheting fly-by of Apophis on 13 of April 2029 near the Earth?
Sergey Ershkov, Dmytro Leshchenko
The main idea of this challenging research is to revisit the solar-centric dynamics of Earth around the Sun in analysis of its position on 13 April 2029 close to asteroid Apophis w…
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…