Once I find the two positions which are maximally separated namely

maxDistance is the distance between these two positions.

For all position in posVector

let L = minimumAngularDistance(position, globalAngleZero)

if (position >= globalAngleZero OR position <=globalAngleMax)

do nothing

if(position < globalAngleZero OR position > globalAngleMax)

L = -L (invert the sign)

sigma += L

meanPos = sigma/n (where n is the length of posVector)

The actual mean position is obtained by adding meanPos to globalAngleZero in a positive sense.

For all position in posVector

let L1 = minimumAngularDistance(position, globalAngleZero)

let L2 = minimumAngularDistance(position, globalAngleMax)

if (L1 + L2 = maxDistance) (if this point lies inside the region bounded by end points)

sigma = sigma + L1

else

sigma = sigma - L1

meanPos = sigma/n (where n is the length of posVector)

The actual mean position can be obtained by adding meanPos to globalAngleZero in clockwise and anti-clockwise sense and that position is choosen for which L1+L2= maxDistance condition is satisfied.

**globalAngleZero**and**globalAngleMax**, I need to transform the origin to globalAngleZero with positive sense towards the shortest path direction towards globalAngleMax.maxDistance is the distance between these two positions.

**Case 1: maxDistance = 180**For all position in posVector

let L = minimumAngularDistance(position, globalAngleZero)

if (position >= globalAngleZero OR position <=globalAngleMax)

do nothing

if(position < globalAngleZero OR position > globalAngleMax)

L = -L (invert the sign)

sigma += L

meanPos = sigma/n (where n is the length of posVector)

The actual mean position is obtained by adding meanPos to globalAngleZero in a positive sense.

**Case 2: maxDistance < 180**For all position in posVector

let L1 = minimumAngularDistance(position, globalAngleZero)

let L2 = minimumAngularDistance(position, globalAngleMax)

if (L1 + L2 = maxDistance) (if this point lies inside the region bounded by end points)

sigma = sigma + L1

else

sigma = sigma - L1

meanPos = sigma/n (where n is the length of posVector)

The actual mean position can be obtained by adding meanPos to globalAngleZero in clockwise and anti-clockwise sense and that position is choosen for which L1+L2= maxDistance condition is satisfied.

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