Energy dissipation in synchronous binary asteroids

AJ Meyer, DJ Scheeres, HF Agrusa, G Noiset… - Icarus, 2023 - Elsevier
Synchronous binary asteroids can experience libration about their tidally-locked equilibrium,
which will result in energy dissipation. This is an important topic to the Asteroid Impact and …

Semi-analytical solution for the trapped orbits of satellite near the planet in ER3BP

S Ershkov, A Rachinskaya - Archive of Applied Mechanics, 2021 - Springer
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 near the …

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 …

Revisiting the dynamics of finite-sized satellite near the planet in ER3BP

S Ershkov, D Leshchenko, A Rachinskaya - Archive of Applied Mechanics, 2022 - Springer
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 …

Free rotation of a rigid mass carrying a rotor with an internal torque

AA Galal - Journal of Vibration Engineering & Technologies, 2023 - Springer
Purpose In this paper, the analytic solution for a free rotatory motion under the influence of a
motor of limited power is investigated; we aim to prove that the motion of the carrier body is …

Lyapunov-based control and trajectory tracking of a 6-DOF flapping wing micro aerial vehicle

BE Wissa, KO Elshafei, AA El-Badawy - Nonlinear Dynamics, 2020 - Springer
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 …

Capture in Regime of a Trapped Motion with Further Inelastic Collision for Finite-Sized Asteroid in ER3BP

S Ershkov, D Leshchenko, A Rachinskaya - Symmetry, 2022 - mdpi.com
The application of a modern solving algorithm or method of resolving dynamical equations
for small projectile of finite sizes orbiting to be captured in a trapped zigzaging oscillations …

Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass

D Leshchenko, S Ershkov, T Kozachenko - Communications in Nonlinear …, 2024 - Elsevier
The paper develops an approximate solution by means of an averaging method to the
system of Euler's equations with additional perturbation terms for a nearly dynamically …

Revisiting Apophis 2029 approach to Earth (staying on shoulders of NASA's experts) or Can we be sure in almost ricocheting fly-by of Apophis on 13 of April 2029 …

S Ershkov, D Leshchenko - Journal of Space Safety Engineering, 2022 - Elsevier
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 which is …

A novel type of ER3BP introduced for hierarchical configuration with variable angular momentum of secondary planet

S Ershkov, EI Abouelmagd, A Rachinskaya - Archive of Applied …, 2021 - Springer
In this work, we aim to introduce and investigate a novel type of ER3BP with variable
angular momentum of secondary planet correlated with the motion of test particle in the …