According to Landau and Lifgarbagez, an n-dimensional mechanical system has 2n-1 constants, each of which is a function of the generalized coordinates and their derivatives with respect to time.(adsbygoogle = window.adsbygoogle || []).push({});

How does one find these constants?

I know that for a given coordinate [tex] q [/tex], if

[tex]

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

then

[tex] \frac { \partial L}{ \partial \dot q} [/tex]

is a constant, but even if that were the case for every [tex] q [/tex], it would produce only n constants, not 2n-1 of them.

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# Integrals of the motion

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