Earth\'s orbit is an ellipse with the Sun located at one of the foci of the elli

Question

Earth's orbit is an ellipse with the Sun located at one of the foci of the elliWhat is the ratio of the speed of the Earth moving around the Sun when it is winter in Northern Hemisphere to this speed in summer..What is the ratio of the speed of the Earth moving around the Sun when it is winter in Northern Hemisphere to this speed in summer.What is the ratio of the gravitational force that Earth exerts on the Sun in the winter and the force that it exerts in the summer in the Southern Hemisphere?

Explanation / Answer

distance is 1.52 * 10^8 km during the summer and

distance is 1.47 *10^8 km during the winter

part A : Orbital sppeed Vo^2 = GM/R

Orbital speed is inversly proportioanl to square root of the distance between earthe and the sun

so

Vw/Vs)^2 = Rs^2/Rw^2 = (1.52 e 11)/(1.47 e 11))

Vw/Vs = 1.01

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Force F = GMeMs/R^2

Fw/Fs = (1.52 e 11)/(1.47 e 11) * (1.52 e 11)/(1.47 e 11)

Fw/Fs = 1.069

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