(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that the velocity verlet scheme is time reversible.

2. Relevant 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

3. 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?

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# Time reversibility of velocity verlet easy

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