Miusskaya pl.,4, Moscow
Applied Mathematics Institute after Keldysh, RAS
Beletsky V. V., Kugushev E. I., Starostin E. L.
Free manifolds of dynamic billiards
1997, vol. 2, nos. 3-4, pp. 62-71
We consider free manifolds of dynamic billiards that allow constructing mathematical billiards equivalent to original dynamic billiards. It is shown that free manifolds of dynamic billiards in constant and Newtonian force field are surfaces of rotation in 3D Euclidean space. It is demonstrated that parabolic billiards in Newtonian attracting force field are equivalent to plane mathematical billiards.