What amount of work is done by the planets moving around the sun?

  the work done by planets moving around sun is 0 (approx)
this is because if we consider the path to be circular then the angle between force (towards centre) and displacement(tangent)  is 90. 
i.e. centripetal force.
W= FS cos90 
    =FS 0 (cos90=0 )
​   =0
 

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work done will be 0
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positive work, because planets revovle around the sun in circular path .
 
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work done will be 0
 
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As the planets are revolving around the sun so the ne displacement would be zero so as the w=FS so the work done would be 0
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