Applications of the two fixed centers problem in stellar dynamics

Ву the method of "incomplete integrals" а partial solution is constructed for the classical problem of two fixed centers, which describes parabolic motions. Ву inversion of quadratures in elliptic Jacobi functions, analytic expressions are obtained that are suitable for representing the motion of а star in the sphere of action of the nucleus of а spherical stellar cluster with adjustment for the perturbation bу the galactic nucleus.