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    The earth travels in an elliptical path with the sun at one of its foci.

    Is the acceleration of the earth directed towards the sun or towards the centre of the ellipse?

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    (Original post by SunGod87)
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    The force on the earth is due to the sun, and so I feel the earth's acceleration must be directed towards the sun.

    However,
    the earth's elliptical path can be parametrized as:
    x=acos (pt)
    y=bsin (pt)

    Differentiating twice, I get that the earth's acceleration is directed towards the centre of the ellipse.

    Which is correct?
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    Since the grav force acts towards the centre of the sun, the acceleraton must be towards the centre of the sun.
 
 
 
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