Generating functions of SIMPLEX mappings
Abstract
The general properties of transformations of Hamiltonian systems of equations are considered in the case when the dimensionality of the systems increases; these transformations are applicable to regularization transformations in celestial mechanics. The use of generating functions of simplex mappings in such problems is considered. Certain theorems proved for the Kustonheim-Stifel transformations in celestial mechanics are generalized.
- Publication:
-
Akademiia Nauk SSSR Doklady
- Pub Date:
- September 1980
- Bibcode:
- 1980DoSSR.254Q.308L
- Keywords:
-
- Celestial Mechanics;
- Hamiltonian Functions;
- Transformations (Mathematics);
- Mapping;
- Matrices (Mathematics);
- Set Theory;
- Astronomy