New equations for the spinning top

It is pointed out that at present there is no complete theory of the top that answers all questions. A complete mathematical description of the top is given. This article includes a translation of the author's [7] with corrections and additions. New well-known experiments that currently do not have any explanation are considered in detail. The purpose of the study of this toy is to prove the fact that Coriolis force and centrifugal force are real forces that do work.