The planet is rotating around the sun.
The planet is orbitting around the sun.
Do these two sentences mean the same thing?
No. We use "revolve" for orbits: the planet is revolving around the sun. A planet rotates on its axis.
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No. We use "revolve" for orbits: the planet is revolving around the sun. A planet rotates on its axis. A planet orbits the sun—"around" is redundant with "orbit", but you do see it sometimes.
gmloftThe planet is [orbiting / revolving around] the sun.
As shown.
CJ