By taxi
Expect a travel time of anywhere from 45 to 90 minutes depending on traffic conditions if you plan to take a taxi from Domodedovo to the Akademicheskaya Hotel. Official airport taxis cost $50-70, depending on the class of car, and you also have the option of pre-booking a transfer to meet you on arrival by using the following link.
By train
The Aeroexpress train runs from Domodedovo to Paveletsky Railway Station daily at 30-minute intervals from 6am to 12am. The journey of 45 minutes will cost about $10, but there are discounts for small children and family tickets also available for purchase. From the Paveletsky Station take the brown circle line two stops clockwise to Oktyabrskaya Metro Station, under ten minutes' walk from the Akademicheskaya Hotel.
By bus
For the cheapest option available, you should take one of the many buses connecting from the airport to Domodedovskaya Metro Station. Buses depart from between exits 2 and 3 of the arrivals lounge. You have the choice of a regular service ($3-4, from 6am to 12am daily every 15 minutes, journey time 25-30 minutes) and a quicker minibus shuttle service ($4-5, from 6am to 12am every 15 minutes, with a less frequent service all through the night). Get on the dark-green line going north from Domodedovskaya seven stops to Paveletskaya. Change there to the brown circle line and travel two stops clockwise to Oktyabrskaya Metro Station, which is under ten minutes on foot from the Akademicheskaya Hotel.