Abstract
In this paper the stroboscopic method is applied to the equinoctial elements which avoid the singularities of circular and/or equatorial orbits. The Lagrange equations for the variation of parameters are formulated using respectively one of the three longitudes as fast angular variable. It is shown how the first-order theory of the stroboscopic method can be developed. The perturbation by the gravity potential of the central body and the third-body perturbation are considered in detail. The paper concludes with a few analytical results.
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