Halley’s comet is in an elliptic orbit around the sun. The eccentricity of the orbit is 0.967 and the period is 76-years. The mass of the sun is around 2.0 × 103 kg, and G = 6.67 × 10-11 Nm2/kg2.
i) By using the above data, find out the distance of Halley’s Comet from the sun at perihelion and at aphelion. Deduce the answers in astronomical units (AU).
ii) Compute the speed of Halley’s Comet at perihelion. Deduce the answer as the ratio to the orbital speed of Earth.