Re: What's 2 degrees away from Earth?
I'd already decided I wasn't going to do this, but you inspired me Draco! So here's the same using AU (Astronomical Units).
Conclusion: agreed, somewhere in between the orbits of Jupiter and Saturn.
(A) 1 AU = ~150 million km (0.150 billion km)
(B) 1 AU ==> 8.3 light-minutes
(C) Voyager 2 distance (km): 32 billion
(D) Voyager 2 distance (AU): C/A = 213.333' AU
(E) Sanity check, distance in light hours: D*B = 213.333' * 8.3 = 1770.666' lm = ~29.5 lh [seems about right]
(F) Angular error: α = 2°
(G) Error perpendicular to normal (intended direct line)
Opposite (Error) = Adjacent (D) * TAN(α)
Opposite (Error) = 213.333' * tan α = ~7.5 AU = 1.125B km
Error perpendicular to normal = ~7.5 AU
I've really gotta get out more...