Chapter 17: Problem 8
Why is the magnitude scale called a "backward" scale? What is the difference between apparent magnitude and absolute magnitude?
Chapter 17: Problem 8
Why is the magnitude scale called a "backward" scale? What is the difference between apparent magnitude and absolute magnitude?
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Get started for freeIf a red star and a blue star both have the same radius and both appear equally bright, which one is farther from Earth? Explain why.
The star HD 3651 shown in Figure 17-13 has a mass of \(0.79 \mathrm{M}_{\odot}\). Its brown dwarf companion, HD \(3651 \mathrm{~B}\), has about 40 times the mass of Jupiter. The average distance between the two stars is about \(480 \mathrm{AU}\). How long does it take the two stars to complete one orbit around each other?
The solar constant, equal to \(1370 \mathrm{~W} / \mathrm{m}^{2}\), is the amount of light energy from the Sun that falls on 1 square meter of the Earth's surface in 1 second (see Section 17-2). What would the distance between the Earth and the Sun have to be in order for the solar constant to be 1 watt per square meter \(\left(1 \mathrm{~W} / \mathrm{m}^{2}\right)\) ?
Suppose two stars have the same apparent brightness, but one star is 8 times farther away than the other. What is the ratio of their luminosities? Which one is more luminous, the closer star or the farther star?
As seen from the starship Enterprise in the Star Trek television series and movies, stars appear to move across the sky due to the starship's motion. How fast would the Enterprise have to move in order for a star \(1 \mathrm{pc}\) away to appear to move \(1^{\circ}\) per second? (Hint: The speed of the star as seen from the Enterprise is the same as the speed of the Enterprise relative to the star.) How does this compare with the speed of light? Do you think the stars appear to move as seen from an orbiting space shuttle, which moves at about \(8 \mathrm{~km} / \mathrm{s}\) ?
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