Mission design in Jovian system within model restricted four-body problem

Heuristic algorithm to overcome the “paradox solo disturbances” during gravitational maneuvers [1-5] in the Jovian system for approach to one of the satellites is implemented with using real ephemeris. The region of exceeding of the total received radiation dose (TILD) skirted along the "upper corridor" of Tisserand’s graph. Withal low-cost reduction of the spacecraft (SC) asymptotic velocity required for approaching. The search for such scenarios become possible in the transition from the model of the restricted three-body problem to terms of the four-and more-body problem. New “tisserand’s” Ti-coordinates introduced. It is shown that the gravity "cross"-maneuvers at the early stage of reduction of the orbital period are required. As a result, a reasonable increase in the duration of the mission can be exchanged on a sharp decline TILD and found “comfortable” (in TILD) rounds scenario in the system (less than 50 krad for SC protection standard 8 mm Al). This will provide significant gains in payload spacecraft missions in Jupiter system and improving the reliability of their scientific instruments.