6. With a combination of large radio telescopes, astronomers can examine the bright star known as Betelgeuse in the constellation of Orion. Betelgeuse is one of the largest stars found in the universe, called a Red Supergiant. We originally thought this star to be 520 light years away (which is equivalent to almost 3,000,000,000,000,000 or 3 x 1015 miles away!) As big as this star really is, in the telescope image, this star appears to be only 0.02 arc-seconds large. Use equation (3) to determine the actual diameter of the star (in miles). Compare that to the size of Earth's orbit around the Sun, about 93 million miles in radius, and comment on the size of Betelgeuse compared to the size of our planet's orbit. Angle of 0.02 arc seconds radio telescope Distance to Betelgeuse=520 light years = 3,000,000,000,000,000 miles Diameter of Betelgeuse:_ Comments on the size of the star: Unit: Betelgeuse c) Determining Diameter from Angular Size and Distance Sometimes astronomers can determine an object's distance using other methods; if you also know the object's angular size in degrees, you can determine its actual diameter using: (3) Small object's diameter Angular Size (in degrees) x Object's distance 57.3 distance and its diameter will be given in the same units.
6. With a combination of large radio telescopes, astronomers can examine the bright star known as Betelgeuse in the constellation of Orion. Betelgeuse is one of the largest stars found in the universe, called a Red Supergiant. We originally thought this star to be 520 light years away (which is equivalent to almost 3,000,000,000,000,000 or 3 x 1015 miles away!) As big as this star really is, in the telescope image, this star appears to be only 0.02 arc-seconds large. Use equation (3) to determine the actual diameter of the star (in miles). Compare that to the size of Earth's orbit around the Sun, about 93 million miles in radius, and comment on the size of Betelgeuse compared to the size of our planet's orbit. Angle of 0.02 arc seconds radio telescope Distance to Betelgeuse=520 light years = 3,000,000,000,000,000 miles Diameter of Betelgeuse:_ Comments on the size of the star: Unit: Betelgeuse c) Determining Diameter from Angular Size and Distance Sometimes astronomers can determine an object's distance using other methods; if you also know the object's angular size in degrees, you can determine its actual diameter using: (3) Small object's diameter Angular Size (in degrees) x Object's distance 57.3 distance and its diameter will be given in the same units.
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter12: The Milky Way Galaxy
Section: Chapter Questions
Problem 3P
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Transcribed Image Text:6. With a combination of large radio telescopes, astronomers can examine the bright star known as
Betelgeuse in the constellation of Orion. Betelgeuse is one of the largest stars found in the universe,
called a Red Supergiant. We originally thought this star to be 520 light years away (which is equivalent
to almost 3,000,000,000,000,000 or 3 x 1015 miles away!) As big as this star really is, in the telescope
image, this star appears to be only 0.02 arc-seconds large.
Use equation (3) to determine the actual diameter of the star (in miles). Compare that to the size of
Earth's orbit around the Sun, about 93 million miles in radius, and comment on the size of Betelgeuse
compared to the size of our planet's orbit.
Angle of 0.02 arc seconds
radio
telescope
Distance to Betelgeuse = 520 light years.
3,000,000,000,000,000 miles
Diameter of Betelgeuse:
Comments on the size of the star:
Unit:
Betelgeuse
c) Determining Diameter from Angular Size and Distance
Sometimes astronomers can determine an object's distance using other methods; if you also know the object's
angular size in degrees, you can determine its actual diameter using:
(3)
Small object's diameter
Angular Size (in degrees) x Object's distance
57.3
object's distance and its diameter will be given in the same units.
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