Is there a relation with the noun planet and to be in a plane? This morning I was in the shower and it struck me that the word planet might be related to the fact that the PLANEts orbit the sun in a PLANE. Did this naming somewhat happen by accident or was it consciously chosen? If it is the former then I'm simply mindblown by the fact that I didn't see this relation before.

I quickly looked up the etymology on the word planet, which comes from Greek and means wanderer/wandering. Nonetheless, could there still be a relation, both words might stem from the same origin...?
Thanks in advance!
There is no close connection. Planet is from Greek asteres planetai meaning wandering stars (via Latin and French). Plane is from Latin planus meaning "level or flat".

It is possible that both words are derived from the proto-indo-European root *pele-, (flat) However the evidence linking *pele to planetai is weak. Thus there is no more connection between planet and plane than between planet and field (field is also derived from *pele, via the sound change in German from p to f) 

http://www.etymonline.com/index.php?allowed_in_frame=0&amp;search=planet

http://www.etymonline.com/index.php?allowed_in_frame=0&amp;search=plane

http://www.etymonline.com/index.php?term=*pele-%20(2)&amp;allowed_in_frame=0