Work done by star's gravitational force is zero moving at constant speed in a circular orbit around a star
We know that,
Gravitational force is conservative force hence, work done by the gravitational force does not depends on path.
hence,
[tex]W=\int \vec(F)*d \vec(r)[/tex]
For the given case,
Planet started from one point and coming back at same point (one complete circle around the star).
hence,
[tex]W=\int _c \vec(F)*d \vec(r)=0[/tex]
Work done by star's gravitational force is zero.
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