
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 the curve $$C_{1}: \frac {x^{2}}{3}+y^{2}=1$$, and the curve $C_{2}$: $$\begin{cases} x=6- \frac { \sqrt {2}}{2}t \\ y=2+ \frac { \sqrt {2}}{2}t\end{cases}(t\text{ is a parameter})$$  
(1) Write the parametric equations for curve $C_{1}$ and the general equation for curve $C_{2}$.  
(2) Let $P$ be a moving point on curve $C_{1}$. Find the maximum distance from point $P$ to points on $C_{2}$, and the coordinates of point $P$ at this time.

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