python - Trajectory of acceleration 2D vector of a spaceship in order to collide with a moving 2D object -

i making bot (in python) controls spaceship in 2d game xpilot. should able accelerate towards moving object , collide it. both ship , object has xy-position , xy-velocity. ship has acceleration. there no other forces such friction.

the bot knows magnitude of vectors: selfx, selfy, selfvelx, selfvely, targetx, targety, targetvelx, targetvely, selfacceleration.

the solution find correct direction of acceleration in order collide object , not how properly.

i using guide shoot bullets @ moving objects , works perfect. using ship "bullet" works (especially when ship still) more bad.

this badly drawn illustration of problem.