
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given in the Cartesian coordinate system xOy, the parametric equation of circle M is $$\begin{cases} x= \frac {5 \sqrt {3}}{2}+2\cos\theta \\ y= \frac {7}{2}+2\sin\theta\end{cases}$$ (where $\theta$ is the parameter). Using the Ox axis as the polar axis and O as the pole, a polar coordinate system is established. In this polar coordinate system, circle N has its center at $$( \sqrt {3}, \frac {\pi}{3})$$ and passes through the point $$(2, \frac {\pi}{2})$$.  
(1) Find the Cartesian coordinate equations of circles M and N in the Cartesian coordinate system xOy;  
(2) Find the minimum distance between any point P on circle M and any point Q on circle N.

Present the answer in LaTex format: \boxed{Your answer}
user