Among the most important problems faced by the air transport today there can be mentioned some negative
influences of aircraft and airports on the environment and the increasing costs of air transport. One of the
possibilities to improve the situation is to work out innovative solutions aimed at decreasing of the aircraft pollution
and improving the transport effectiveness. Among the most innovative ideas is the use of magnetic levitation
(MAGLEV) to aid the take-off and landing of the transport aircraft. The “Integrated Ground and on-Board system for
Support of the Aircraft Safe Take-off and Landing” – GABRIEL, deals with radically new integration of the MAGLEV
technology into the air transportation system that contains aircraft, airport, air traffic control, authority, logistic and
operational support, maintenance, etc. GABRIEL idea includes operation of the aircraft without the conventional
undercarriage system and using the ground based power and supporting systems for take-offs and landings. In case of
using the GABRIEL system as a catapult, the aircraft on the track must be accelerated to the speed permitting to reach
the altitude of 300 m or more. Such take-off and climb results in minimum noise and minimal emission of substances
harmful for the environment. After reaching the altitude of 300 m, the aircraft may follow its flight with using different
flight strategies. Different conditions of the unconventional take-off needs to shape other way the trajectory of the
initial stage of the aircraft flight after the lift-off. The aim of the present work was to determine the optimal conditions
of the lift-off and the optimal trajectory of the initial climb minimizing the emission. Simplified realization of the Ritz-
Galerkin method was used in this work, which uses an approximate solution to boundary value problems for
determining the optimal flight trajectory.
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