Term Paper: Algebra Like Many Other Languages

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[. . .] Keplar's laws relate to the orbit of an object moving around another in space as elliptical, with the stationary object located at one of the focal points of the ellipse. Simply put, the Earth travels around the sun in an ellipse, and the sun is a focal point in that ellipse; likewise for a satellite traveling around the earth.

Using Algebra, Keplar understood:

Ra=a (1+e) and Rp=a (1-e)

Where a = semi-major axis of the ellipse e= eccentricity of the ellipse

So that the elliptical shape of the orbit is the result of the inverse square force of gravity.

For instance, the eccentricity for a circle is zero. Earth's eccentricity is only 0.0167, while Pluto, the planet with the largest eccentricity, is .25.

Visually, this is what Keplar sought to explain:

Mathematically, however, linear algebra makes the picture an easily understood, computable…

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