R. Ramirez et N. Sadovskaia, ON THE CONSTRUCTION OF DYNAMIC-SYSTEMS FROM GIVEN INTEGRALS, Celestial mechanics & dynamical astronomy, 63(2), 1995, pp. 149-170
In this communication we propose a new approach for studying a particu
lar type of inverse problems in mechanics related to the construction
of a force field from given integrals. An extension of the Danielli pr
oblem is obtained. The given results are applied to the Suslov problem
, and illustrated in specific examples.