31 citations · 66 across the 5 of their papers we have counts for
5 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,…
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…
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…
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…