- #1

AlephClo

- 32

- 1

**The Coriolis potential last term of (42) is obtained by integration through r and R from last term of (40).**

I do not understand why we do not need to integrate through v as well, since the Coriolis force depends on v?

I do not understand why we do not need to integrate through v as well, since the Coriolis force depends on v?

## Homework Equations

Equation (41) is wrong I think, L must be replaced by U.

The forces for the 2 springs are F(r)= -k

**r**, and F(R)= -k

**R (bold are vectors)**

The generalized force Qj = Fi ⋅ δri/δqj (δ is del the partial derivative; j and i are indices)

## The Attempt at a Solution

the 4 terms of (42) are obtainable from the intergration relatively to r and R.

Since the Coriolis force is dependent of the velocity

**v, why we do not need to**Integration relative to v = (dr/dt, dR/dt) as well?

Or more generally when is it required that we integrate through position and velocity the force that depends on position and velocity to obtain a generalized potential.

Thank you.