Mathematical Tripos Dynamics and Relativity 2020
/Below are my answers to the 2020 MT Part 1A Dynamics and Relativity questions.
- 4C (i) 2b2/(p(b2 - p2)) (ii) A = (L2/b2 - 2k/R), B = 2k, C = - L2
- 11C, ⍵ = aq(1-e-λt/(a2(1+q)))/λ , q = 93/70
- 12C (a) sin(𝜽/2) = E/√( 4E2 - M2c4 ) (b) f(r) = √( (1 - r2)/(1 + 3r2) ), ct = c𝛕/2√( 3 + 1/r2 ), x = c𝛕/2√( 1/r2 - 1 )