Construction of a material point motion basic law and the program control implementing with phase constraints

The article presents a solved problem about a material point motion basic kinematic law in a homogeneous gravity field, taking into account the resistance of the medium, which proportional to the velocity in the second degree. A point bypasses the specified restricted zones and does not leave the specified vertical strip above the earth's surface during the flight according to proposed law. A program control has been developed that implements a point motion proposed law. Differential equations describing the dynamics of the basic motion perturbations are compiled in the article.