Out of aphelion and perihelion,where is the speed of the earth more and why?

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(N/A) Aphelion is the position of the earth where it is at the maximum distance from the sun,while perihelion is the position where it is at the minimum distance from the sun.
According to Kepler's second law of planetary motion,the areal velocity of a planet remains constant. This implies that the angular momentum of the planet is conserved.
The angular momentum $L$ is given by $L = mvr \sin(\theta)$. At perihelion and aphelion,the velocity vector is perpendicular to the radius vector,so $\theta = 90^{\circ}$ and $\sin(90^{\circ}) = 1$.
Thus,$L = mvr$,which means $v \propto 1/r$.
Since the distance $r$ is minimum at perihelion,the speed $v$ of the earth is maximum at perihelion compared to aphelion.

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