- #1

Reshma

- 749

- 4

L = T - V, T = kinetic energy of the system, V = potential energy of the system.

L is a function of the generalised coordinates for a system of N particles given by:[tex] L = L(q_1, q_2, ...,q_{3N},\dot{q_1}, \dot{q_2},...,\dot{q_{3N}}, t)[/tex]

Suppose L is not an explicit function of a given coordinate q

_{i}then:

[tex]\frac{\partial L}{\partial q_i} = 0[/tex]

Such coordinates are the ignorable coordinates by definition. What if L is not an explicit function of time 't'? What is the nature of such a system where the Lagrangian is independent of time?