This computes the radius of a LV Haack nose cone at each point

LV Haack nose cone.js

function LVHaack(n){
  n=+n;
  with(Math){
    return sqrt( 1/PI * ( acos(1-n/12) - 0.5*sin(2*acos(1-n/12)) + (1/3)*pow(sin(acos(1-n/12)),3) ) )
  }
}

/* For LD Haack change `(1/3)*pow` to `0*pow`,
   for tangent Haack change it to `(2/3)*pow` */

for(var i=0; i<=24; i++){
  console.log( LVHaack(i).toFixed(4) )
}