- #1
Sunfire
- 221
- 4
Hello,
I have the functional
J = ∫ L(ψ, r, r') dψ, where r'=dr/dψ. L is written in polar coordinates (r,ψ).
Now I want to constrain the motion to take place on the polar curve r = r(ψ). Can I write the constrained lagrangian as
Lc=L(ψ, r, r') - λ(r - r(ψ)) and then solve the Euler-Lagrange equation
Does this make sense?
Thanks!
I have the functional
J = ∫ L(ψ, r, r') dψ, where r'=dr/dψ. L is written in polar coordinates (r,ψ).
Now I want to constrain the motion to take place on the polar curve r = r(ψ). Can I write the constrained lagrangian as
Lc=L(ψ, r, r') - λ(r - r(ψ)) and then solve the Euler-Lagrange equation
Does this make sense?
Thanks!