
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
In the rectangular coordinate system, with the origin as the pole and the positive half of the $x$-axis as the polar axis, establish a polar coordinate system. The curve $C$: $ρ^{2}= \frac {15}{1+2\cos ^{2}θ}$, and the line $l$ is $2ρ\sin (θ+ \frac {π}{3})= \sqrt {3}$.
(1) Determine the positional relationship between the curve $C$ and the line $l$, and write out the parametric equation of the line $l$;
(2) Let the two intersection points of the line $l$ and the curve $C$ be $A$ and $B$, find the value of $|AB|$.

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