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particular star observed from Earth shows a parallax of 0.401 arcseconds. What is its distance from the Earth, in parsecs?

particular star observed from Earth shows a parallax of 0.401 arcseconds. What is its distance from the Earth, in parsecs?

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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Earth Sun с 1 AU - d = 1 pc рс p = 1 arc second Diagram: Geometry of parallax. Note that the angle shown is bigger than 1 arcsecond, because the diagram is not drawn to the same scale horizontally and vertically -- 1 pc is actually 206,265 AU. To scale the drawing would look very flat. A particular star observed from Earth shows a parallax of 0.401 arcseconds. What is its distance from the Earth, in parsecs?
Transcribed Image Text:Earth Sun с 1 AU - d = 1 pc рс p = 1 arc second Diagram: Geometry of parallax. Note that the angle shown is bigger than 1 arcsecond, because the diagram is not drawn to the same scale horizontally and vertically -- 1 pc is actually 206,265 AU. To scale the drawing would look very flat. A particular star observed from Earth shows a parallax of 0.401 arcseconds. What is its distance from the Earth, in parsecs?
Expert Solution
Step 1

Answer)

It is given that,

Star has a parallax angle, p = 0.401 arcseconds

Distance, d = ?

Relationship between a star's distance and parallax angle is given by the formula : d = 1/p

Where d is distance in parsec, and p is parallax angle in arcseconds

using the formula,

d = 1/0.401

d = 2.49 Parsec

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