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The present paper deals with a general ideology, hardware architecture, and some aspects of software filling of the mobile adaptive simulator aircraft of an aircraft. This simulator provides the pilotage and combat skills maintenance, pre-flight training and forthcoming, flight mission image formation on the board of his “native” aircraft with “native” habitual cockpit environment and controls. Proposed idea has been already realized and demonstrated during International Aviaspace saloon in Zhukovskiy, Russia in 1997 and 1999 on board of the modern combat aircraft. The paper describes also the results of preliminary testing of this analogue of embedded training system, contains the pilots’ and experts’ estimates. In conclusion authors discuss a helpfulness of such system and its economical efficiency.`

The present paper considers the general aspects and mathematical foundation of the subsystem of on-board universal pilot’s support system, which provides pilot’s control actions support during more or less long-term maneuvers, such as take-off and climbing, flight on a route, surface-based target attack (in case of military aircraft), descent and landing via shortcut-time on-board optimization of spatial trajectories and their head-up display visualization in the view of “road-in-the-sky” image for further tracking in “director with sight” regime or (semi) automatic mode. There are mentioned briefly the main ideas of two specially designed for this purpose “fast” modifications of the direct method of calculus of variations. One (for short-term trajectories with strong restrictions on controls) based on 5th-7th order polynomial approximation; the second (for flight on a route) based on spline approximation.