Physics

Problem

An asteroid orbits the Sun in an ellipse of eccentricity

0.45

. At perihelion it is

1.1\times10^{11}\,\text{m}

from the Sun and its speed there is

52\,\text{km}\,\text{s}^{-1}

. a. (i) Find the semi-major axis of the orbit. b. (ii) Calculate the speed of the asteroid at aphelion.