The rapid rotation of a dynamically asymmetric satellite in a gravitational field
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 4
Abstract
We study the rapid rotary motion of the mass center of a dynamically asymmetric satellite in a gravitational field. The motion occurs in an elliptical orbit. A numerical study of the vector locus kinetic moment in three dimensions.
Authors and Affiliations
A. L. Rachinskaya
The general schema of averaging of systems of discrete equations with variable delay in the optimal control tasks
There is considered the optimal control problem for systems of discrete equations with variable delay about the state and control. The averaging method using to solve the problem. For the optimal control of averaging pro...
On a two-step algorithm in structural and parametric optimization problems of linear control systems.
This paper deals with applying of a two-step optimization algorithm for structural and parametric optimization problems of linear control systems with fixed and floating switching points.
Stieltjes integral and summation formula
In the article we prove a generalized summation formula using the expanded definition of the Stieltjes integral.
THE CONTACT PROBLEM FOR AN ELASTIC SEMI-INFINITE LAYER
It is solved the contact problem on the action of a circular stamp with an extra-central power on the elastic semi-infinite layer. On the lateral and lower side of the layer the conditions of the smooth contact are given...
Rotation of a rigid body in a resistant medium
We study the rotational motion of a dynamically rigid body about the center of mass under the action of the resistance moment. Resistance moment assumes a linear function of the angular velocity. Numerical modeling of th...