How is math and the solar system related?
Question:
Answer:
mathamatics is a tool,or a language and nothing else. But a very powerful tool if you know how to use it correctly.
Everything that happens in the solar system could be predicted. Its called orbital mechaics and uses mathamitics to get the results we need. Answers could be understood by any body any where in the world no matter who they are. ( No discrimination.thats why its so beautiful).
This may sound dumb, but every thing in our space program has to do with math., and it is very complex. Why not try and find a web site for NASA or Ario Space, they can explain the role math plays in the solar system.
The motions of the planets were described using mathematics & calculus (which Newton co-invented) in a time when people thought it was "magic." The central gravitational force given by the equation:
F = -G mMe/r^2 is used to compute just about any type of orbit or needed velocity to escape the planet.
Differential calculus, integral calculus, and differential equations are all used to describe many aspects of the motions of the planets and to describe orbits of spacecraft and/or satellites.
For example using polar coordinates you can describe the motion of a particle in a central force field as follows:
m(d2r/dt2 - r(d-theta/dt)^2 = f(r)
m(2dr/dt d-theta/dt + r d2-theta/dt) = 0
Using more math you will eventually get:
d2u/d-theta2 + u = -1/{[mh^2u^2]} f(u^-1)
You are probably saying, what in the hell..
Here is an easy one:
acceleration due to gravity is 32ft/sec^2
A satellite orbits in a circular orbit at a velocity of 17,500 mph.
Find out how high the orbit is above the earth;
Easy. F = ma = mv^2/r for circular motion.
so.. ma = mv^2/r the m's cancel out
a = v^2/r where r = Re + Ro Re = radius of earth; Ro = radius of orbit.
Solving for all this stuff you will find that Ro is approximately 100 miles.
So everything in our solar system and the universe can be explained in the common language of mathematics and physics.
3rd cousins twice removed
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