Circle in the XY plane (§7a: Y-up in 2D as well as 3D), swept at a
constant rate.
θ(t) = phase + angularVelocity · t
p(t) = center + (r·cos θ, r·sin θ, 0)
v(t) = r·ω · (−sin θ, cos θ, 0)
a(t) = −r·ω² · (cos θ, sin θ, 0) // centripetal, toward the centre
duration is one revolution, 2π / |ω|, so duration / 2 is the
diametrically opposite point. With ω = 0 the path is a fixed point and
duration is Infinity.
Circle in the XY plane (§7a: Y-up in 2D as well as 3D), swept at a constant rate.
durationis one revolution,2π / |ω|, soduration / 2is the diametrically opposite point. Withω = 0the path is a fixed point anddurationisInfinity.