matlab - Object orbiting a moving object in 2D -


i working on system in have small moving objects in 2d , if 2 objects close each other, 1 starts orbit other. limited information:

i know angle between object not orbiting , object orbiting @ each time step know distance between centers of 2 objects @ each time step orbiting object can move @ maximum speed of d_max/t_step < max_radius/t_step max_radius maximum distance between 2 objects in can interact. if distance > max_radius 2 objects don't attract anymore.

what have right formula this:

fxy = e^(-alpha*d^2); dx = 2*alpha*fxy*(sin(theta)*d); dy = -2*alpha*fxy*(cos(theta)*d);

if sum dx , dy coordinates of orbiting obejct orbit around other, if remains still. how can extend object keeps orbiting if other moves (obviously constraints talked above)?

add dx , dy delta-x , delta-y of object orbiting.


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