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 KustonheimStifel 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