Properties of Expansions of Modified Motions of a Rigid Body.
Here we continue the study of power expansions of solutions to the modified system of equations, describing motions of a rigid body with a fixed point, begun in the preprints nos. 49, 73 and 90 (2001). Here all solutions are collected into 19 big families, properties of each family is revised and the behavior of integrals found by Kovalevskaya and by Chaplygin on these families is stidied. It appears, that each family has four eigenvalues and one of them corresponds to each integral.
Mathematical problems and theory of numerical methods