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Fuse is one of the most important factors on killing probability of weapon system. The function performed by the proximity fuse is to sense the presence of a target and detonate the warhead at a suitable point to maximize the probability of destroying the target. In this paper, time delay problem is solved since detection time to detonation time in tow-dimensional inertial system. Considering the fuse sensor center as inertial point, simple equation is derived for time delay which the way of influence the factors can be seen well. Due to the inability on measure all influential factors,this present research is going to offer optimal estimation of time delay with less factors. Primarily, according to the criterion td > 0, suitable value for lean angle fuse is selected.Next, constant value is offered for time delay. By this constant value, fragments won't strike to target at all possible engagement scenarios. So, time delay would be designed as function of missile and target relative velocity.

Keywords: Fuse lean angle, Relative velocity, Time delay.

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