COMPUTATION OF ELLIPTIC HANSEN COEFFICIENTS AND THEIR DERIVATIVES

The problem of computation of elliptic Hansen coefficients and their d erivatives is considered for constructing a motion theory of an artifi cial Earth satellite with large eccentricity. An algorithm for analyti cal and numerical computation of these coefficients and their derivati ves is described. The recurrence relations for derivatives of the firs t and second order and initial values for recurrences are obtained. As an example, numerical values of some elliptic Hansen coefficients are given for the orbit with eccentricity k = 0.74.