Problem 1- At the distance of Earth, 147 million kilometers, what is the angular diameter of the sun whose physical diameter is 1.4 million kilometers? Problem 2 - At the distance of closest approach to the solar surface Solar Probe Plus will be at a distance of 5.8 million kilometers from the solar surface. What will be the angular diameter of the sun if its physical diameter is 1.4 million kilometers? Problem 3 - A DVD disk measures 12 cm in diameter. How far from your eyes will you have to hold the DVD disk in order for it to subtend the same angular size as the disk of the sun viewed by Solar Probe Plus at its closest distance?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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6:38
ul LTE
Screenshot_20201226-183601_Driv...
Solar Probe Plus, Working with Angular
Diameter
The Solar Probe Plus mission will
be launched in 2018 for a rendezvous
with the sun in 2024. To lose enough
energy to reach the sun, the spacecraft
will make seven fly-bys of Venus.
The 480 kg spacecraft, costing
$740 million, will approach the sun to a
distance of 5.8 million km. Protected by
the heat shield will be five instruments
that will peak over the edge of the heat
shield and measure the particles and
radiation fields in the outer solar corona.
At the closest approach distance,
the sun will occupy a much larger area of
the sky than what it does at the distance
of Earth.
The angular size of an object as it appears to a viewer depends on the
actual physical size of the object, and its distance from the viewer. Although
physical size and diameter are usually measured in terms of meters or kilometers,
the angular diameter of an object is measured in terms of degrees or radians. The
angular size, t, depends on its actual size d and its distance r according to the
simple formula
@ = 2areTan
For example, the angular size of your thumb with your arm fully extended for
d = 2 centimeters and r= 60 cm is just e = 2 arcTan(0.016) so e = 1.8 degrees.
Problem 1- At the distance of Earth, 147 million kilometers, what is the angular
diameter of the sun whose physical diameter is 1.4 million kilometers?
Problem 2 - At the distance of closest approach to the solar surface Solar Probe
Plus will be at a distance of 5.8 million kilometers from the solar surface. What will
be the angular diameter of the sun if its physical diameter is 1.4 million kilometers?
Problem 3 - A DVD disk measures 12 cm in diameter. How far from your eyes will
you have to hold the DVD disk in order for it to subtend the same angular size as
the disk of the sun viewed by Solar Probe Plus at its closest distance?
Transcribed Image Text:6:38 ul LTE Screenshot_20201226-183601_Driv... Solar Probe Plus, Working with Angular Diameter The Solar Probe Plus mission will be launched in 2018 for a rendezvous with the sun in 2024. To lose enough energy to reach the sun, the spacecraft will make seven fly-bys of Venus. The 480 kg spacecraft, costing $740 million, will approach the sun to a distance of 5.8 million km. Protected by the heat shield will be five instruments that will peak over the edge of the heat shield and measure the particles and radiation fields in the outer solar corona. At the closest approach distance, the sun will occupy a much larger area of the sky than what it does at the distance of Earth. The angular size of an object as it appears to a viewer depends on the actual physical size of the object, and its distance from the viewer. Although physical size and diameter are usually measured in terms of meters or kilometers, the angular diameter of an object is measured in terms of degrees or radians. The angular size, t, depends on its actual size d and its distance r according to the simple formula @ = 2areTan For example, the angular size of your thumb with your arm fully extended for d = 2 centimeters and r= 60 cm is just e = 2 arcTan(0.016) so e = 1.8 degrees. Problem 1- At the distance of Earth, 147 million kilometers, what is the angular diameter of the sun whose physical diameter is 1.4 million kilometers? Problem 2 - At the distance of closest approach to the solar surface Solar Probe Plus will be at a distance of 5.8 million kilometers from the solar surface. What will be the angular diameter of the sun if its physical diameter is 1.4 million kilometers? Problem 3 - A DVD disk measures 12 cm in diameter. How far from your eyes will you have to hold the DVD disk in order for it to subtend the same angular size as the disk of the sun viewed by Solar Probe Plus at its closest distance?
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