
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 circle $O: (x+ \sqrt {3})^{2}+y^{2}=16$ and point $A(\sqrt {3},0)$, $Q$ is a moving point on the circle, and the perpendicular bisector of $AQ$ intersects $OQ$ at point $M$. Let the trajectory of point $M$ be $E$.  
$(I)$ Find the equation of trajectory $E$;  
$(II)$ A line $l$ passing through point $P(1,0)$ intersects trajectory $E$ at two different points $A$ and $B$, and the area of $\triangle AOB$ (where $O$ is the origin) is $S= \frac {4}{5}$. Find the equation of line $AB$.

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