The present invention relates to a system for locally precise application of substances to useful areas of farmland and woodland and a corresponding method. The system comprises at least one multiple rotary wing aircraft, which contains at least one electronic control device for controlling the flight movements, which steers the multiple rotary-wing aircraft autonomously on predefined flight paths. The electronic control device contains at least one processing unit, at least one receiver for signals of a global satellite navigation system for position determining and an inertial measurement unit for detecting movement data of the multiple rotary-wing aircraft. The processing unit calculates the data of the receiver according to the method of real-time kinematics with the data of a base station and with the measured data of the inertial measurement unit for improving the accuracy of the position measurement data so that the electronic control device can sufficiently accurately steer the multiple rotary-wing ai