Consider two points on the Earth’s surface that are separated by 1 arcsecond as seen from the center of the (assumed to be transparent) Earth. What is the physical distance between the two points?

Astronomy
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ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Chapter19: Celestial Distances
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Problem 7E: While a meter is the fundamental unit of length, most distances traveled by humans are measured in...
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Consider two points on the Earth’s surface that are separated by 1 arcsecond as seen from the center of the (assumed to be transparent) Earth. What is the physical distance between the two points?

Expert Solution
Step 1

Given data

  •  The angular separation between the two points on the earth's surface is given as θ=1 arcsecond.
  • The radius of the earth is given as r = 6378 km.

 

The relation between the m to km is given as,

1000 m = 1 km

The relation between the arcsecond to rad is given as,

1 arcsecond = 4.84 x 10-6 rad

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