Table 3.

Tube Pair Tip Position and Tangent Error. Note that “All” refers to all points in Fig. 11 and Fig. 12

		Tube Pair A frictionless model error		Tube Pair B frictionless model error
		friction model error		friction model error
Point	α2m (deg)	Position (mm)	Tangent (degrees)	Position (mm)	Tangent (degrees)
1	0	$\frac{1.1}{1.1}$	$\frac{2.4}{2.4}$	$\frac{2.4}{2.4}$	$\frac{1.2}{1.2}$
2	60	$\frac{1.2}{1.3}$	$\frac{3.0}{3.2}$	$\frac{3.2}{3.1}$	$\frac{2.5}{2.5}$
3	120	$\frac{1.5}{1.7}$	$\frac{0.8}{1.7}$	$\frac{5.0}{4.6}$	$\frac{4.0}{3.5}$
4	180	$\frac{2.2}{0.7}$	$\frac{2.9}{1.0}$	$\frac{13.4}{2.2}$	$\frac{13.4}{1.7}$
5	240	$\frac{1.7}{1.1}$	$\frac{3.7}{2.7}$	$\frac{4.6}{2.8}$	$\frac{4.9}{3.1}$
6	300	$\frac{1.1}{1.1}$	$\frac{3.4}{3.2}$	$\frac{5.3}{5.3}$	$\frac{4.0}{3.9}$
All (mean)		$\frac{1.8}{1.4}$	$\frac{3.1}{2.7}$	$\frac{5.4}{3.7}$	$\frac{4.3}{2.7}$
All (std dev)		$\frac{0.9}{0.6}$	$\frac{1.5}{1.3}$	$\frac{3.3}{1.8}$	$\frac{3.2}{1.2}$
All (max)		$\frac{4.2}{2.9}$	$\frac{6.0}{5.3}$	$\frac{17.5}{7.8}$	$\frac{18.1}{5.6}$