- #1
dikmikkel
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Homework Statement
Prove that the velocity verlet scheme is time reversible.
Homework Equations
r(t+dt) = r(t) + v(t)dt + 1/2a dt^2
v(t+dt) = v(t) + 1/2 a(t)dt + 1/2a(t+dt)dt
The Attempt at a Solution
I substitute -dt in at dt and get:
r(t-dt) = r(t) - v(t)dt +1/2a dt^2
v(t-dt) = v(t) -1/2a(t)dt -1/2a(t-dt)dt
the squared factor of time in the acceleration term is annoying me, can it be done easier?