Microgravity Math

MICROGRAVITY MATH

DROP TOWERS

On Earth, microgravity experiments are often conducted in drop towers. As the name suggests, experiments are literally dropped down a shaft to achieve a few seconds of microgravity. The experiment hardware becomes nearly weightless because it is in "free-fall."
The experiments fall from rest with the acceleration of gravity, following the equation below:
where d is the distance the object has fallen, g is the acceleration due to gravity, and t is the time that the object has fallen. On Earth, g is about . The approximate distance an object falls on Earth is shown below.
Time (seconds) Fall (meters)
00
15
220
345
480
5125
For true "free-fall," where the equation applies, gravity must be the only (net) force acting on the object. Air drag commonly prevents this, but is avoided in drop towers by aerodynamic design or evacuation of the air.

ON ORBIT

Microgravity conditions are achieved on spacecraft by allowing them to "free-fall" toward the Earth on a circular path called an orbit. This allows astronauts on board spacecraft to perform microgravity experiments lasting hours, days, or weeks.
To remain in orbit, a spacecraft must travel at a very high velocity. The required velocity is dependent on gravity, and decreases with increasing altitude (i.e., distance) as shown:
where v is the orbital velocity, R is the radius of the orbit, and g is the local acceleration of gravity. acceleration. The universal gravitational constant and mass of the Earth are respectively:
For reference, the Earth's radius is meters.
For a typical Space Shuttle altitude of 300 kilometers, the orbital velocity is nearly 28,000 kilometers/hour.

LEARN MORE ABOUT MICROGRAVITY ON THE WORLD WIDE WEB AT:
NASA Headquarters
http://microgravity.msad.hq.nasa.gov/
NASA Glenn Research Center
http://www.grc.nasa.gov/



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Information on this page provide by Dennis Stocker.