The intermediate orbit of resonance asteroids of the Hecuba family constructed on the basis of solution of the internal variant of the generalized problem of the three fixed centres

On the basis of the solution of the internal variant of the generalized problem of three fixed centres (taking as an example a minor planet of 108 Hecuba) an intermediate orbit of the resonance asteroids of the Hecuba family has been constructed. Comparison of the results obtained from the formulae with observations and also with the results of Isaeva (1976) showed that in investigating the motion of the celestial bodies it would be reasonable to use the orbits of the internal variant of the generalized problem of three fixed centres.