We can determine the average speed for the trip required based on the distance the Bound System must travel and the desired trip length:
Because the ion drive is a linear ramp up to a top speed and then back down, we know the average speed is half the maximum speed:
Using Deep Space 1's data and the conservation of momentum:
We can find the relative velocity of Deep Space 1 if it had the mass of the Bound System:
We can determine the gain in power from the Bound System over Deep Space 1:
We can now calculate a ratio of velocity to fuel consumption from fuel and ion drive data from Deep Space 1 (which includes expected gains in thrust and fuel efficiency due to improved technology since Deep Space 1 as well as design improvements.)
Using the above-calculated values we can approximate the amount of propellant needed given these improvements:
