[Figure|http://en.wikipedia.org/wiki/File:3spheres.jpg]
!3circles.png|border=1!
P1=1st Landmark position (latitude, longitude)
P2=2nd Landmark position (latitude, longitude)
P3=3rd Landmark position (latitude, longitude)
d1= distance from 1st Landmark to target (Calculated using distance=(MinRTT/2)*alpha)
d2=distance from 2nd Landmark to target (Calculated using distance=(MinRTT/2)*alpha)
d3=distance from 3rd Landmark to target (Calculated using distance=(MinRTT/2)*alpha)
i1=P1.x,
i2=P2.x,
i3=P3.x
j1=P1.y,
j2=P2.y,
j3=P3.y
x=target x coordinate
y=target y coordinate
Using Equation for circles and solving the above figure
x = { ( \[?( (d1^2-d2^2)+(i2^2-i1^2)+(j2^2-j1^2)\] ) * (2*j3-2*j2) - ( \[(d2^2-d3^2)+(i3^2-i2^2)+(j3^2-j2^2) ) \]*(2*j2-2*j1))/ \[ ( (2*i2-2*i3)*(2*j2-2*j1)-(2*i1-2*i2)*(2*j3-2*j2) )\] }
\\
y = \[ (d1^2-d2^2) + (i2^2-i1^2) + (j2^2-j1^2) + x*(2*i1-2*i2)\] / (2*j2-2*j1)
x,y are the required coordinates of a Point (Target) |