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how do we calculate the net force on a satellite in an elliptical orbit using only netwon's laws? how can I know the location of the satellite at any given point in time?

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Answer:

The eccentricity of an elliptical orbit is defined by the ratio e = c/a, where c is the distance from the center of the ellipse to either focus. The range for eccentricity is 0 ≤ e < 1 for an ellipse; the circle is a special case with e = 0.

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