target searching device 30 fig3 inasmuch as constructional limitations restrict the pitch angle with regard to the flight angle of the projectile 21 and because of the somewhat steeper downward inclination of the extended trajectory 25 there is obtained a target detection limiting angle w6 for example of 35 u00b0 fig2 for reasons of which there can be determined from the position of the search start location z4 only target objects 28 which lie beyond the closest located detection point z6 potential target objects beyond the advanced impact point z11 of the flat trajectory 25 cannot as a rule be attacked from this trajectory since this would require a reversal in the direction of the trajectory angle w25 which as a rule would be impermissible because of high accelerational forces on the projectile which could affect the mechanical stability of the projectile 21 and the devices which are incorporated therein when the contemplated target object 28 is to be directly attacked upon being detected by the target searching device 30 through target tracking homing by the projectile there is set a target tracking path 31 which does deviate downwardly from the extended or flattened trajectory 25 but would still lead to a low and therefore effectively unfavorable impact path angle w31 pursuant to the present invention there is accordingly contemplated that even after detection of the target object 28 which is to be attacked that it be directly attacked in the target tracking control mode that its direction of yaw is immediately changed at the target detection point z5 in the direction towards the target object 28 whereas the projectile continues to maintain the actual extended trajectory 25 the delayed time point t7 for a change.