The rocket equation governs how much fuel is needed for a mission from "summary" of Rocket Science: A Beginner's Guide to the Fundamentals of Spaceflight by Andrew Rader
The rocket equation is a fundamental principle that dictates the amount of fuel required for a spacecraft to reach its destination. It is a simple yet powerful equation that governs the physics of space travel. In essence, the rocket equation states that the velocity of a spacecraft is directly proportional to the natural logarithm of the ratio of the initial mass of the rocket to its final mass. This means that in order to increase the velocity of a spacecraft, more fuel must be burned to reduce the final mass of the rocket. The rocket equation highlights the trade-off between fuel efficiency and mission objectives. The more fuel that is burned, the faster the spacecraft can travel, but t...
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