We need to figure out an estimated position along an arc using a set of known variables. The starting position on the arc would be called point P, here are the known/measured variables:
P = initial position of point P
x = x coordinate of P (longitude)
y = y coordinate of P (latitude)
V = velocity of point P (nautical miles / min, or nautical miles / hour)
H = heading / directional angle of point P in degrees (000 = North, 180 = South)
R = rate of turn of P in degrees/minute.
All of those variables are known. We actually have a device that is able to calculate point P's rate of turn. See this link here for the device.
We need to calculate the future X,Y positions of point P along the arc based on the variables above with respect to time. The dynamically changing variable to plug into the formula would be Time (in minutes or hours).
For example: at future time T, what would be the position of P (or Px1, Py1) along the arc. My thinking is that it would require some kind of calculus based derivative calculation. Thanks.