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So I figured it out--wasn't too hard. First, we need to decide what it means for the mass to have "flipped over" The point where the mass flips is the point where the absolute angle it makes with the normal is bigger than 180 degrees: So when all we need to do is find the first time when $|\theta_{2}|>\pi$. That can be done with any programming ...


I don't know the specific context that you may be looking for, but it's quite common to use a four-point correlation function of the quantum dipole moment operator to retrieve non-linear relaxation dynamics. These correlation functions make up the nonlinear response function of a material system to an electric field which, when convolved with the excitation ...

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