INTEGRABILITY OF THE EQUATIONS OF MOTION USING LOCAL INTEGRALS

In our previous paper [1], potential is obtained that admit local integrals of motion for steadystate stellar systems. The concept of a local integral, in contrast to D.Lynden-Bell [2], as a separate<br> isolated surface, was introduced by V.A.Antonov [3] for an arbitrarily given field.<br> Here we have the possibility of finding a trajectory in the presence of a local integral, in contrast<br> to the true integral of motion with a local integral it is not always possible to completely find<br> trajectories. As an example, using [1] we present the result of one of the cases of integrability of the<br> equations of motion for a space model.<br> Key words: stellar dynamics, gravitational potential, integrals of motion.<br>

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