86 citations · 631 across the 43 of their papers we have counts for
5 papers · 1 filter
Non-integrability of charged three-body problem
Maria Przybylska, Andrzej J. Maciejewski
We consider the problem of points with positive masses interacting pairwise with forces inversely proportional to the distance between them. In particular, it is the classical…
Top on a smooth plane
Maria Przybylska, Andrzej Maciejewski
We investigate the dynamics of a sliding top that is a rigid body with an ideal sharp tip moving in a perfectly smooth horizontal plane, so no friction forces act on the body. We p…
Constrained N-body problems
Wojciech Szumiński, Maria Przybylska
We consider a problem of mass points interacting gravitationally whose motion is subjected to certain holonomic constraints. The motion of points is restricted to certain curves an…
Non-integrability of the dumbbell and point mass problem
Andrzej J. Maciejewski, Maria Przybylska, Leon Simpson +1
This paper discusses a constrained gravitational three-body problem with two of the point masses separated by a massless inflexible rod to form a dumbbell. The non-integrability of…
Non-integrability of flail triple pendulum
Maria Przybylska, Wojciech Szumiński
We consider a special type of triple pendulum with two pendula attached to end mass of another one. Although we consider this system in the absence of the gravity, a quick analysis…