Overall, pretty good.
Typos: "Dim a Star: set a Star": Capitalize Set.
"If you have less than five cards..." should be "fewer."
Some of the terminology is just a little odd.
Examples: "At your next turn, have a Cosmic Action," (On your next turn, take a Cosmic Action)
"Cards May be activated at any moment in the game" (Cards may be played by any player at any time)
“Cosmic Council, is it ok for you?” [Cosmic Council, is it ok? (or is it ok with you?)]
"The game ends instantaneously..." (The game ends immediately...)
"Play with 5 Stars and 5 Planets for a 20 minutes game." (Play with 5 Stars and 5 Planets for a 20-minute game.)