My question is what is the theoretical origin of Hamilton's principle. I mean is there any rigorous mathematical proof of this principle from some more basic principles?
$\begingroup$
$\endgroup$
3
-
$\begingroup$ yes, you derive the Lagrangian and apply Legendre transforms. $\endgroup$– CourageCommented Nov 19, 2015 at 3:37
-
1$\begingroup$ In what way does How Hamilton's Principle was found? fail to answer your question? Or Why the Principle of Least Action? $\endgroup$– dmckee --- ex-moderator kittenCommented Nov 19, 2015 at 4:04
-
1$\begingroup$ More possible duplicates: physics.stackexchange.com/q/9/2451 and links therein. Specifically, the derivation of Hamilton's principle from Newton's laws is discussed in physics.stackexchange.com/q/78138/2451 $\endgroup$– Qmechanic ♦Commented Nov 19, 2015 at 6:53
Add a comment
|