A remarkable periodic solution of the three-body problem in the case of equal masses.
Algebraically completely integrable systems and Kummer varieties.
Analysis of a nontrivial, explicitly solvable multichannel scattering system
Asymptotic completeness for 3-particle long-range system.
Asymptotic completeness for the impact parameter approximation to three particle scattering
Closed form approximation solutions for the restricted circular three body problem.
Double collisions for a classical particle system with nongravitational interactions.
Eight-shaped Lissajous orbits in the Earth-Moon system
Euler and Lagrange proved the existence of five equilibrium points in the circular restricted three-body problem. These equilibrium points are known as the Lagrange points (Euler points or libration points) . The existence of families of periodic and quasi-periodic orbits around these points is well known (see [20, 21, 22, 23, 37]). Among them, halo orbits are 3-dimensional periodic orbits diffeomorphic to circles. They are the first kind of the so-called Lissajous orbits. To be selfcontained,...
Familes FI and FII of Symmetric and Periodic Orbits of Charged Particle Moving in the Plane of Motion of two Parallel Revolving Magnetic Dipoles
Hydrodynamics of Saturn’s Dense Rings
The space missions Voyager and Cassini together with earthbound observations revealed a wealth of structures in Saturn’s rings. There are, for example, waves being excited at ring positions which are in orbital resonance with Saturn’s moons. Other structures can be assigned to embedded moons like empty gaps, moon induced wakes or S-shaped propeller features. Furthermore, irregular radial structures are observed in the range from 10 meters until kilometers. Here some of these structures will be discussed...
Kinematic geometry of triangles and the study of the three-body problem.
La théorie de la stabilité et l'analyse qualitative des équations différentielles ordinaires dans les mathématiques italiennes : le point de vue de Tullio Levi-Cwita
Note sur le problème des trois corps.
On the evection resonance and its connection to the stability of outer satellites.
On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation
* Partialy supported by contract MM 523/95 with Ministry of Science and Technologies of Republic of Bulgaria.For the system describing the motion of a moss point under the action of two static gravity centers (with equal masses), we find a subset of the set of the regular values of the energy and momentum, where the condition of isoenergetical non-degeneracy is fulfilled.
Orbites périodiques dans le problème des trois corps
Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps
Oscillatory Solutions in the Planar Restricted Three-Body Problem.
Periodic orbits close to elliptic tori and applications to the three-body problem
We prove, under suitable non-resonance and non-degeneracy “twist” conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with larger and larger minimal period, accumulating onto elliptic invariant tori (of hamiltonian systems). We prove the applicability of this result to the spatial planetary three-body problem in the small eccentricity-inclination regime. Furthermore, we find other periodic orbits under some restrictions on the period and the masses...
Periodic solutions of hamiltonian systems of 3-body type