The dynamical motion of a gyrostat for the irrational frequency case
This work outlines on the three dimensional motion of a rigid body about a fixed point
according to Lagrange's case under the action of a gyrostatic moment and a Newtonian …
according to Lagrange's case under the action of a gyrostatic moment and a Newtonian …
[HTML][HTML] The periodic solutions of a symmetric charged gyrostat for a slightly relocated center of mass
This paper aims to investigate the rotatory dynamical motion of a charged symmetric gyrostat
when its center of mass is slightly displaced from the axis of dynamic symmetry as a novel …
when its center of mass is slightly displaced from the axis of dynamic symmetry as a novel …
Solving procedure for 3D motions near libration points in CR3BP
SV Ershkov, D Leshchenko - Astrophysics and Space Science, 2019 - Springer
In a novel approach for solving the equations of the Circular Restricted Three-Body Problem
(CR3BP) first formulated in Ershkov (Acta Mech. 228 (7): 2719–2723, 2017a), we apply in …
(CR3BP) first formulated in Ershkov (Acta Mech. 228 (7): 2719–2723, 2017a), we apply in …
Lyapunov-based control and trajectory tracking of a 6-DOF flapping wing micro aerial vehicle
In this work, a high-fidelity nonlinear and time-periodic six degrees-of-freedom dynamic
model of a flapping wing micro aerial vehicle has been developed. The model utilized …
model of a flapping wing micro aerial vehicle has been developed. The model utilized …
[HTML][HTML] On a new type of non-stationary helical flows for incompressible 3D Navier-Stokes equations
SV Ershkov, RV Shamin, AR Giniyatullin - Journal of King Saud University …, 2020 - Elsevier
In fluid mechanics, a lot of authors have been executing their researches to obtain the
analytical solutions of Navier-Stokes equations. But there is an essential deficiency of non …
analytical solutions of Navier-Stokes equations. But there is an essential deficiency of non …
On a new type of solving procedure for Euler–Poisson equations (rigid body rotation over the fixed point)
SV Ershkov, D Leshchenko - Acta Mechanica, 2019 - Springer
In this paper, we proceed to develop a new approach which was formulated first in Ershkov
(Acta Mech 228 (7): 2719–2723, 2017) for solving Poisson equations: a new type of the …
(Acta Mech 228 (7): 2719–2723, 2017) for solving Poisson equations: a new type of the …
The dynamics of asteroid rotation, governed by YORP effect: the kinematic ansatz
SV Ershkov, RV Shamin - Acta Astronautica, 2018 - Elsevier
The main motivation of this research is the analytical exploration of the dynamics of asteroid
rotation when it moves in elliptic orbit through Space. According to the results of Efroimsky …
rotation when it moves in elliptic orbit through Space. According to the results of Efroimsky …
[HTML][HTML] The dynamical motion of a gyroscope subjected to applied moments
WS Amer - Results in Physics, 2019 - Elsevier
In the present work, the problem of the dynamical motion of a rigid body close to Lagrange's
gyroscope under the effectiveness of a gyro moment vector, perturbing moments, and a …
gyroscope under the effectiveness of a gyro moment vector, perturbing moments, and a …
On the dynamics OF NON-RIGID asteroid rotation
SV Ershkov, D Leshchenko - Acta Astronautica, 2019 - Elsevier
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 body …
rigid asteroid rotation, considering the final spin state of rotation for a small celestial body …
[HTML][HTML] A Riccati-type solution of 3D Euler equations for incompressible flow
SV Ershkov, RV Shamin - Journal of King Saud University-Science, 2020 - Elsevier
In fluid mechanics, a lot of authors have been reporting analytical solutions of Euler and
Navier-Stokes equations. But there is an essential deficiency of non-stationary solutions …
Navier-Stokes equations. But there is an essential deficiency of non-stationary solutions …