Answer:
Let R be the distance of the earth from the sun in the position perpendicular to the major axis of its elliptical orbit. Using the property of an ellipse, we can write \[\frac{1}{R}+\frac{1}{R}=\frac{1}{{{r}_{1}}}+\frac{1}{{{r}_{2}}}\] or \[\frac{2}{R}=\frac{{{r}_{1}}+{{r}_{2}}}{{{r}_{1}}{{r}_{2}}}\] \[\therefore \] \[R=\frac{2{{r}_{1}}{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\].
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