A asteroid orbits a star in an elliptical path

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

6.0\,\text{kg}

asteroid orbits a star in an elliptical path. At aphelion it is

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

from the star and moves at

1.0\times10^{4}\,\text{m/s}

. Neglecting external torques on the asteroid–star system, calculate the asteroid’s speed at perihelion where its distance from the star is

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