Engineering >> Mechanical Engineering

The Tsiolkovsky Rocket Equation: Moving into Higher Orbit

by Elyse Taft

 

Submitted : Fall 2020


When a rocket is launched, it takes a great amount of energy and force to propel it into space. The initial launch is not enough to push the shuttle into its desired orbit. Therefore, rocket boosters and a main engine that drop during launch help propel the shuttle further. Not only do the boosters and engine help in propulsion, but the fuel expelled from the rocket pushes against the vehicle and helps it achieve a higher altitude.

In order to understand how much fuel is needed to get the space shuttle into orbit, Tsiolkovsky’s equation is used. To start, the change in momentum must be calculated and found to be zero as no external forces act on the shuttle. The equation utilizes Newton’s second law and then takes the integral of an equation involving the mass and velocity of the rocket. This will present the relationship between the change in velocity and mass of the rocket. The ratio of full to empty mass of the shuttle is then found. With this information, the amount of fuel necessary to launch the rocket into orbit is found.


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Advisors :
Arcadii Grinshpan, Mathematics and Statistics
Thomas Smith, NASA
Suggested By :
Thomas Smith