
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 function $f(x)=- \frac {2a}{x}+\ln x-2$  
$(1)$ If the tangent line to the curve $y=f(x)$ at point $P(1,f(1))$ is perpendicular to the line $y=x+2$, find the value of $a$.  
$(2)$ If for any $x\in(0,+\infty)$, $f(x) > 2a$ holds, determine the range of values for $a$.

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