There are 3600 seconds in an hour so hourly consumption is calculated as:
Cawake × (Tawake / 3600) + Csleep × ((3600-Tawake) / 3600)
So in theory, if we wake up and check the position every 10th minute, i.e. run for 60 s per hour, it will last for 4858 hours or about 200 days on a 2000 mAh battery. In reality however, the battery life will also depend quite a lot on battery discharge characteristic and environmental factors such as temperature.
Below are graphs showing examples of measurements calculating the numbers above: