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hermano
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Homework Statement
In a paper I have found there is a simplification of an equation which I do not understand.
How did they do this? Can someone explain this step by step?
Homework Equations
The euqation is as follows:
X = [itex]e \cos\theta + \sqrt{(R^2 + e^2 \sin^2 \theta)}[/itex]
X = distance
e = eccentricity
theta = angle
R = radius
Since the eccentricity is much than 1000 times smaller than the radius the above equation is simplified to:
X = [itex]e \cos\theta + R + \frac{e^2}{2R} \sin^2 \theta[/itex]
The Attempt at a Solution
In the paper they say that they used the Taylor series expansion in terms of [itex]\sin^2 \theta[/itex] for this simplification.
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