Abstract: | Two inverse problems of astrophysics are considered: determining the velocity of the moon by the method of stellar eclipses (occultations of stars by the moon) and determining the geometrical parameters of double systems from light curve observations. These methods produce basic stellar data with accuracy several orders of magnitude higher than standard methods. The initial problems are ill-posed. A stable solution is obtained by finite-dimensional parametrization.Translated from Metody Matematicheskogo Modelirovaniya, Avtomatizatsiya Obrabotki Nablyudenii i Ikh Primeneniya, pp. 23–39, 1986. |