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For an object of mass the energy required to escape the Earth's gravitational field is GMm / r, a function of the object's mass (where r is the radius of the Earth, G is the gravitational constant, and M is the mass of the Earth, M =5.9736Ã10 24 kg).or a mass equal to a Saturn V rocket, the escape velocity relative to the launch pad is 253.5 am/s (8 nanometers per year) faster than the escape velocity relative to the mutual center of mass.
To get there in half the time we should start out moving about twice as fast. The HTO requires us to start with about 33 km/s speed from near Earth. To get there twice as fast weâd need to start out around 60 km/s. That would mean delta-vee around 30 km/s instead of 3. This is ten times larger D v, or ten times more fuel! Weâd also have a big increase in the amount of fuel needed at Mars to slow down from such a high speed.