TURN OF THE ORBIT'S PLANE OF ARTIFICIAL EARTH SATELLITE

摘要

If no limitations are imposed during the turn of the orbit' s plane, then, on the strength of uniqueness of the limit's sequence (l4.l5), (4.l6), the optimal law of direction of the value and sign of lateral overload has a limiting nature, according to which the turn of the plane of a circular satellite's orbit by a definite angle should be realized by means of applying infinitely large number of disappearing small impulses of the form of (fig, 8, b), which alternate with respect to sign each half a turn of the satellite's orbit. In this connection the time of realization of the turn is infinitely large,nThe constructed sequence of the values of functional (4.2), obviously, makes it also possible to solve the problem under the investigation (in the sense of satisfying indispensable conditions of the optimum) also in those conditions when the beforehand defined interval (0, vk) coincides with some interval (0, uh(n)) from sequence (4.14) (see fig. 9).