What angular resolution would you need to see the Sun and Earth as distinct points of...

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Question

What angular resolution would you need to see the Sun and Earth as distinct points of light? If you were looking at it from 13 light years away?

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Answer 1

Answer #1

1 light-year = distance light travels in a year = 9.5 x 10¹⁵meters

Earth’s orbital radius is 1.5x10¹¹ m.

The distance 13 ly = 1.23x10¹⁷ m

physical separation (meters) Angular separation = 206.265 arc seconds x distance (meters)

= $\left ( 1.5*10^{11} m./ 1.23*10^{17} m \right )$ * 206,265 arcseconds

= 0.25^''

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Answer 2

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