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The Circular Orbits
The bounded motion of a particle in a central force is in general an ellipse given by
where eccentricity e is related to semi-major and minor axes as,b2 = a2 (1 - e)2Hence, if e = 0, b = a, and the ellipse degenerates into a circular orbit. The radius of the circular orbit is, If the particle m is moving in a gravitational force of a fixed mass M, C = GmM, and we get That is, the radial gravitational force is equal to necessary centripetal force required for the particle in the circular orbit.The planetary data shows that eccentricity e for most of the planets, including earth, is nearly equal to zero. Hence, their orbits are really indistinguishable from circles. However, these circular looking orbits are not concentric with Sun at the center; this is because, these are in fact ellipses, with Sun at the focus.
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Please help me with this question if you are 100 % sure that you will assure me a perfect grade. Please let me know as soon as possible. I need the solution within 18 hours from no
derivation for varing shear stress for thin circular tubes.
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