In the early decades of the 20th century, when visionaries such as Konstantin Tsiolkovsky, Hermann Oberth, and Robert H. Goddard started to think seriously about how space travel might be accomplished, most of the focus was on how rockets might be designed and built which would enable their payloads to be accelerated to reach the extreme altitude and velocity required for long-distance ballistic or orbital flight.

This is a daunting problem. The Earth has a deep gravity well: so deep that to place a satellite in a low orbit around it, you must not only lift the satellite from the Earth’s surface to the desired orbital altitude (which isn’t particularly difficult), but also impart sufficient velocity to it so that it does not fall back but, instead, orbits the planet. It’s the speed that makes it so difficult.

Recall that the kinetic energy of a body is given by ½mv². If mass (m) is given in kilograms and velocity (v) in meters per second, energy is measured in joules. Note that the square of the velocity appears in the formula: if you triple the velocity, you need nine times the energy to accelerate the mass to that speed. A satellite must have a velocity of around 7.8 kilometers/second to remain in a low Earth orbit. This is about eight times the muzzle velocity of the 5.56×45mm NATO round fired by the M-16 and AR-15 rifles. Consequently, the satellite has 64 times the energy per unit mass of the rifle bullet, and the rocket that places it into orbit must expend all of that energy to launch it.

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