Preprints IPM . M. In. Keldysh . 2013. No. 22 . 26 s. It is proposed to adapt the previously developed method of virtual trajectories to an important class of problems of designing interplanetary flights with passive gravitational maneuvers and, if necessary, pulsed maneuvers in deep space. As before, the main feature of the method is the ability to perform the most resource-intensive stage of calculations - building a database of virtual trajectories - for each planetary route once, after which the resulting database is tabulated and can be used in subsequent calculations. The imposition of requirements for the duration of the mission and the start date is carried out in the process of iterative sifting and refinement of the base of virtual trajectories. The results of the application of the virtual trajectories method to the problem of designing missions to Jupiter and Uranus are given