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If your booster rocket is losing 100 kilograms of mass every second because

it's burning the fuel from its tanks, and the weight of the rocket's mass is

dereasing steadily because the force of gravity decreases steadily as you get

farther away from the center of the Earth, and you need to figure out how

much fuel you need, and which direction to aim the rocket, in order to have

exactly the right speed in the right direction when it reaches exactly the right

altitude to put a satellite into geostationary orbit so that everybody can aim

their little dishes at it and pick up 500 TV channels, THAT's where you need

Calculus. And I won't even go into how and why Calculus is used when people

want to fling a machine off the surface of the Earth and get it to the right

place to land on Mars 6 months later, or fly by Pluto 9 years later !

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Q: What are the applications of calculus in space research?
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