Rotation transformation by poisson brackets

[shinobi20]

Homework Statement

Can anybody suggest hints on how to show that x'=xcosΘ-ysinΘ, y'=xsinΘ+ycosΘ by using the infinite string of poisson brackets?

Homework Equations

ω→ω+a{ω,p}+a^2/2!{{ω,p},p}+...

The Attempt at a Solution

Sorry, I just can’t think of any way, substituting doesn’t work.

 

[TSny]

Homework Equations

ω→ω+a{ω,p}+a^2/2!{{ω,p},p}+...

Please define all the symbols here.

3. The Attempt at a Solution

Sorry, I just can’t think of any way, substituting doesn’t work.

Rules of the forum require showing work before receiving help. Indicate the type of substitution you tried.