Obtained some unexpected results. Logically, as turn circumferences shrink, the number of degrees traveled around the circumferences at a given speed (799f/s) increases. The distances between each turn also increase with bank angle increases yet the distances are suprisingly small.
Turn Separation Between 15 and 20 Degrees of Bank
Aircraft Turn A: 15 degrees: (r: 211,601); [(799)8/1,329,528]*360 = 1.73
Aircraft Turn B: 20 degrees: (r: 155,783); [(799)8/978,813]*360 = 2.35
Aircraft Turn A:
Xa (15 deg.) = 211,601 - [211,601* Cos (1.73)] = 96.44
Ya (15 deg.) = 211,601* Sin 1.73 = 6,388.15
Aircraft Turn B:
Xb (20 deg.) = 155,783 - [155,783* Cos (2.35)] = 131
Yb (20 deg.) = 155,783* Sin 2.35 = 6,387.68
X-separation = Xa - Xb
Y-separation = Ya - Yb
X-separation = 96.44 - 131 = -34.56
Y-separation = 6,388.15 - 6,387.68 = .47
Separation = square root of [(X-separation^2) + (Y-separation^2)]
(-34.56)^2 + (.47)^2 = 1,194.61^1/2 = 34.56 feet
Turn Separation Between 20 and 25 Degrees of Bank
Aircraft Turn A: 20 degrees: (r: 155,783); [(799)8/978,813]*360 = 2.35
Aircraft Turn B: 25 degrees: (r: 121,600); [(799)8/764,035]*360 = 3.01
Aircraft Turn A:
Xa (20 deg.) = 155,783 - [155,783* Cos (2.35)] = 131
Ya (20 deg.) = 155,783* Sin 2.35 = 6,387.68
Aircraft Turn B:
Xb (25 deg.) = 121,600 - [121,600* Cos (3.01)] = 167.76
Yb (25 deg.) = 121,600* Sin 3.01 = 6,385.24
X-separation = Xa - Xb
Y-separation = Ya - Yb
X-separation = 131 – 167.76 = -36.76
Y-separation = 6,387.68 - 6,385.24 = 2.44
Separation = square root of [(X-separation^2) + (Y-separation^2)]
(-36.76)^2 + (2.44)^2 = 1,357.25^1/2 = 36.84 feet
Turn Separation Between 25 and 30 Degrees of Bank
Aircraft Turn A: 25 degrees: (r: 121,600); [(799)8/764,035]*360 = 3.01
Aircraft Turn B: 30 degrees: (r: 98,215); [(799)8/617,103]*360 = 3.72
Aircraft Turn A:
Xa (25 deg.) = 121,600 - [121,600* Cos (3.01)] = 167.76
Ya (25 deg.) = 121,600* Sin 3.01 = 6,385.24
Aircraft Turn B:
Xb (30 deg.) = 98,215 - [98,215* Cos (3.72)] = 206.93
Yb (30 deg.) = 98,215* Sin 3.72 = 6,372.25
X-separation = Xa - Xb
Y-separation = Ya - Yb
X-separation = 167.76 – 206.93 = -39.17
Y-separation = 6,385.24 - 6,372.25 = 12.99
Separation = square root of [(X-separation^2) + (Y-separation^2)]
(-39.17)^2 + (12.99)^2 = 1,357.25^1/2 = 41.26 feet