At perihelion (closest approach to the Sun), Earth is 1.47 * 108 km from the Sun

Question

At perihelion (closest approach to the Sun), Earth is 1.47 * 108 km from the Sun and its orbital speed is 30.3 km/s. What is Earths orbital speed at aphelion (greatest distance from the Sun), when it is 1.52 * 108 km from the Sun? Note that at these two points Earths velocity is perpendicular to a radial line from the Sun

At perihelion (closest approach to the Sun), Earth is 1.47 * 108 km from the Sun and its orbital speed is 30.3 km/s. What is Earth½s orbital speed at aphelion (greatest distance from the Sun), when it is 1.52 * 108 km from the Sun? Note that at these two points Earth½s velocity is perpendicular to a radial line from the Sun

Explanation / Answer

Conservation of angular momentum about center of rotation: r=perihilion R=aphelion M*V*R=M*v*r V=v*r/R V=29.3km/s

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