Activate Chromatic Orrery's first activated ability by tapping it, adding CCCCC.
Cast Ghostly Flicker by paying C, targeting Chromatic Orrery and Archaeomancer, blinking them.
When Archaeomancer enters the battlefield, return Ghostly Flicker to you hand.
Repeat.
Once you have infinite mana, you may activate Chromatic Orrery's last ability any number of times.
This delightful loop sets up an engine that generates infinite colorless mana, card draw, and spell-casting triggers. By utilizing Arcane Melee to reduce the cost of Ghostly Flicker down to a single generic mana, Chromatic Orrery's massive five-mana tap ability more than pays for the spell while simultaneously being one of the targets of the blink. Meanwhile, Archaeomancer plays its part by returning Ghostly Flicker from your graveyard straight to your hand every time the pair re-enters the battlefield. Once your mana and triggers are infinite, you can tap Chromatic Orrery for its second ability as many times as you like to draw your entire deck.