MatLab symbolic system of equations using solve function -


i have 3 equations , 3 unknowns lot of other variables. want analytical equations these 3 unknowns. tried solve, pc keeps on working without giving out result. tried solve when symbols left tilt,pan,t , of others numbers, didn't work. tried use fsolve. if put in variables , did work, need symbolic formula tilt,pan. solve code used didn't work:

syms xt yt zt v t tiltangle panangle radius offsetangle xrotationcentre yrotationcentre zrotationcentre eqn1=xt==v*t*cos(tiltangle)*cos(panangle)+radius*cos(tiltangle)*cos(panangle-offsetangle)+xrotationcentre; eqn2=yt==v*t*cos(tiltangle)*sin(panangle)+radius*sin(panangle-offsetangle)+yrotationcentre; eqn3=zt==v*t*sin(tiltangle)-g*t^2/2+radius*sin(tiltangle)*cos(offsetangle)+zrotationcentre solve(eqn1,eqn2,eqn3,tiltangle,panangle,t)

fsolve code used worked:

function  f=eqns(x)     zt=0.139;     yt=0.118;     xt=2.18;     g=9.81     v=50000/3600     xshootingpoint=-0.105     yshootingpoint=-0.395     zshootingpoint=-0.235     xrotationcentre=-0.33     yrotationcentre=-0.05     zrotationcentre=-0.235     radius=sqrt((xshootingpoint-xrotationcentre)^2+(yshootingpoint-yrotationcentre)^2+(zshootingpoint-zrotationcentre)^2)     distancebetween2points=sqrt((xshootingpoint-radius-xrotationcentre)^2+(yshootingpoint-yrotationcentre)^2+(zshootingpoint-zrotationcentre)^2)     offsetangle=acos((2*radius^2-distancebetween2points^2)/(2*radius^2))     tilt=x(1)     pan=x(2)     t=x(3)     f(1)=xt-(radius*cos(tilt)*cos(pan-offsetangle)+xrotationcentre)-v*t*cos(tilt)*cos(pan);     f(2)=yt-(radius*sin(pan-offsetangle)+yrotationcentre)-v*t*cos(tilt)*sin(pan);     f(3)=zt-(radius*sin(tilt)*cos(offsetangle)+zrotationcentre)-v*t*sin(tilt)+g*t^2/2;   end

seems have similar problem solving symbolic system of equations in matlab using solve() function


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