c# - Hit incoming missile (simple projectile missile) in Unity3D -

i want make surface air missile system in unity3d predict incoming missile position after time 't' , set interceptor missile angle , position in 3d coordinates hit incoming missile. using following function prediction of incoming missile.

    void updatetrajectory(vector3 initialposition, vector3 initialvelocity, vector3 gravity) {     int numsteps = 500;      float timedelta = 1.0f / initialvelocity.magnitude;       linerenderer linerenderer = getcomponent<linerenderer>();     linerenderer.setvertexcount(numsteps);      vector3 position = initialposition;     vector3 velocity = initialvelocity;     (int = 0; < numsteps; ++i)     {         linerenderer.setposition(i, position);           position += velocity * timedelta + 0.5f * gravity * timedelta * timedelta;         velocity += gravity * timedelta;     } } 

i using line renderer visual trajectory display. can hit missile @ few position means :p have adjust manually. sam missile system set angle can't set exact time , velocity hit missile.

you need professional: exponential curve fitting.

http://mathworld.wolfram.com/leastsquaresfittingexponential.html http://mste.illinois.edu/malcz/expfit/first.html

you points curve , find coefficients of curve extrapolate next point. algorithm seems little linear whole curve true latest points , not enough.

alos known non-linear regression.

here, stackexchange answer: https://stats.stackexchange.com/questions/20271/exponential-curve-fitting-with-a-constant