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What is the mean orbital radius in terms of aphelion and perihelion for astronomical objects orbiting the Sun?

a) 1/2 (aphelion + perihelion)
b) aphelion×perihelion
c) aphelion - perihelion
d) (aphelion+perihelion)/2

1 Answer

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Final answer:

The mean orbital radius of astronomical objects orbiting the Sun is the semi-major axis, which is one-half the sum of the aphelion and perihelion. The correct answer is option D.

Step-by-step explanation:

The mean orbital radius of astronomical objects orbiting the Sun, for an elliptical orbit, is given by the semi-major axis of the ellipse.

The semi-major axis can be calculated as one-half the sum of the aphelion (ra) and perihelion (rp), which is mathematically expressed as a = ½(ra + rp).

This tells us that the correct formula to find the mean orbital radius in terms of aphelion and perihelion is a = (aphelion + perihelion)/2, thus the correct answer is (aphelion + perihelion)/2.

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