# Orbit of Comets

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A comet is observed at a distance "D" AU from the Sun and is moving tangentially with a speed "S" times the Earth's average orbital speed. Show that the orbit will be a hyperbola if DS^2>2, a parabola for DS^2=2, or an ellipse for DS^2<2.

Thank you very much for your help!

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#### Solution Preview

Because, in central forces, solving radial and transverse forces give the equation:

1/r = (GM/h^2)*( 1 + e *cos(Q))

Here, Q means theta with the axis of symmetry for ...

#### Solution Summary

This solution provides step-by-step explanations on the orbit of a comet. For a given comet, conditions are derived for it's orbit shape to be parabola, ellipse or hyperbola.

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