(a) Using the notation and initial conditions of the example in Section 8 7 6, prove that kinks occur in nutation if and only if s (A kink is where the plot of (t) vs 1060 (t) has a discontinuity in its slope ) (b) Prove that these kinks are in fact cusps (A cusp is a kink where the plot reverses d...

a b Because both and 0 are continuous functions of time we mu ...

(a) Using the notation and initial conditions of the example in Section 8.7.6, prove that kinks occur...

Question:

(a) Using the notation and initial conditions of the example in Section 8.7.6, prove that kinks occur in nutation if and only if ∆Ω = ±Ωs. (A kink is where the plot of θ(t) vs. Ф(t) has a discontinuity in its slope.)
(b) Prove that these kinks are in fact cusps. (A cusp is a kink where the plot reverses direction in the Ф-θ plane.)