lagrangian of three bodies, using an exponential potential

jbay

What I know:
L = T - V
V = e^(x1-x2) + e^(x2-x3) for n = 3 and a mass = 1

What I believe:
T = .5Ʃ (x'_i)^2 from 1 to n

So lets say you have three bodys that can just be considered pints masses of 1 and on the same line:

x1 x2 x3
They have an exponential potential. What is L?

jbay	lagrangian of three bodies, using an exponential potential Tweet What I know: L = T - V V = e^(x1-x2) + e^(x2-x3) for n = 3 and a mass = 1 What I believe: T = .5Ʃ (x'_i)^2 from 1 to n So lets say you have three bodys that can just be considered pints masses of 1 and on the same line: x1 x2 x3 They have an exponential potential. What is L?