It is about 3km from Belarus Station, the Moscow terminus for trains to/from Belarus (Minsk and Brest), Kaliningrad, Smolensk and international destinations including Vilnius, Warsaw, and Berlin, to the Marriott Royal Aurora Hotel.
By taxi
Depending on the time of day, the journey by taxi will take from 20 to 60 minutes, but should not cost more than $20. If you prefer, you can pre-order a transfer with a driver to meet your train here.
By metro
From Belorusskaya Metro Station (connected to the mainline station concourse), take the dark-green line and travel south three stops to Teatralnaya, which is less than ten minutes' walk from the Marriott Royal Aurora.
