SOME APPLICATIONS OF GALILEAN METHODS

Dolgarev Artur Ivanovich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University ,delivar@yandex.ru
Dolgarev Ivan Arturovich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University ,delivar@yandex.ru

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Methods of Galilean geometry will allow us to find solutions of some systems of differential equations. Defined Galilean curvature of Euclidean curves and Galilean quadratic forms of Euclidean surface. They just found Euclidean curves and surfaces. By connectedness found Galilean metric functions of the Euclidean and the surface. For 2-dimensional field, the accelerated motion of a trajectory of motion of point 2 and 3 degrees of freedom.

Galilean curvature Euclidean curves; Galilean quadratic forms Euclidean surface; Galilean metric function is the Euclidean surface; Galilean connectivity; tra-jectory points with 2 and 3 degrees of freedom.