In 'Tom Swift and his Cosmotron Express' (1970) by Victor Appleton II, Tom invents his fastest spaceship that can go to the moon in 3 hours and tour all the planets in the solar system in 2.5-3 days. It claims to be able to do this by being able to accelerate continuously. Has anyone done the math to figure out what acceleration would be needed to do this? The book says it is many gravities but doesn't say how many. I assume you have to accelerate for the first half the voyage and decelerate for the second half.
Thank you for the excellent answers below (1.3g for moon, 500+ g for tour of solar system) and some excellent Tom Swift and Tom Swift, Jr references at: