21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 5, Problem 30QP
To determine
The size of the orbit of a planet with same temperature as Earth.
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= 2000 K and a radius of R,
A young recently formed planet has a surface temperature T
Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and
2
determine the ratio of the planet's luminosity to that of the Sun.
As a star runs out of hydrogen to fuel nuclear fusion in its core, changes within the star usually cause it to leave the main sequence, expanding and cooling as it does so. Would a star with a radius 6 times that of the Sun, but a surface temperature 0.4 times that of the Sun, be more, or less luminous than the Sun?
Show and explain your reasoning.
You may assume the surface area of a sphere is A = 4πr2.
Imagine a planet orbiting a star.
Observations show a Doppler shift in the
star's spectrum of 66 m/s over the 4.5 day
orbit of the planet. What is the mass of the
planet in kg? Assume the star has the same
mass as the Sun (2.0 x 1030 kg), there are
365.25 days in a year, and 1AU = and 1.5 x
1011 m.
Chapter 5 Solutions
21st Century Astronomy
Ch. 5.1 - Prob. 5.1ACYUCh. 5.1 - Prob. 5.1BCYUCh. 5.2 - Prob. 5.2CYUCh. 5.3 - Prob. 5.3CYUCh. 5.4 - Prob. 5.4CYUCh. 5.5 - Prob. 5.5CYUCh. 5 - Prob. 1QPCh. 5 - Prob. 2QPCh. 5 - Prob. 3QPCh. 5 - Prob. 4QP
Ch. 5 - Prob. 5QPCh. 5 - Prob. 6QPCh. 5 - Prob. 7QPCh. 5 - Prob. 8QPCh. 5 - Prob. 9QPCh. 5 - Prob. 10QPCh. 5 - Prob. 11QPCh. 5 - Prob. 12QPCh. 5 - Prob. 13QPCh. 5 - Prob. 14QPCh. 5 - Prob. 15QPCh. 5 - Prob. 16QPCh. 5 - Prob. 17QPCh. 5 - Prob. 18QPCh. 5 - Prob. 19QPCh. 5 - Prob. 20QPCh. 5 - Prob. 21QPCh. 5 - Prob. 22QPCh. 5 - Prob. 23QPCh. 5 - Prob. 24QPCh. 5 - Prob. 25QPCh. 5 - Prob. 26QPCh. 5 - Prob. 27QPCh. 5 - Prob. 28QPCh. 5 - Prob. 29QPCh. 5 - Prob. 30QPCh. 5 - Prob. 31QPCh. 5 - Prob. 32QPCh. 5 - Prob. 33QPCh. 5 - Prob. 34QPCh. 5 - Prob. 35QPCh. 5 - Prob. 36QPCh. 5 - Prob. 37QPCh. 5 - Prob. 38QPCh. 5 - Prob. 39QPCh. 5 - Prob. 40QPCh. 5 - Prob. 41QPCh. 5 - Prob. 42QPCh. 5 - Prob. 43QPCh. 5 - Prob. 44QPCh. 5 - Prob. 45QP
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- Two stars of the same diameter or observed to have surface temperatures of 4000 Kelvin and 16,000 Kelvin. Which star is probably the brighter of the two? How many times brighter?arrow_forwardImagine a planet orbiting a star. Observations show a Doppler shift in the star's spectrum of 58 m/s over the 3.3 day orbit of the planet. What is the mass of the planet in kg? Assume the star has the same mass as the Sun (2.0 x1030 kg), there are 365.25 days in a year, and 1AU = 1.5 x 1011 m.arrow_forwardStar B has a temperature that is 5 times higher than Star A. How much more energy per second (compared to Star A) does it radiate from a square meter of its surface? EA = O(TA) 4 EB = σ(TB)4 Again, we know that Star B's temperature is n times Star A's. TB = nTA EB = σ(NTA) 4 So in terms of Star A's energy, Star B's is: EB = EAarrow_forward
- The three most prominent spectral lines of hydrogen are H-α at 656 nm, H-β at 486 nm, and H-γ 434 nm. If we observe an object with H-α at a wavelength of 700 nm, what wavelength will we observe H-β and H-γ? Is the object moving toward or away from us, and how do you know? Suppose we observe another object with H-α at 585 nm. Is this object moving toward or away from us? Is it moving slower or faster than the first object?arrow_forwardIf a star has a surface temperature of 18,000 K (1.80 ✕ 104 K), at what wavelength (in nm) will it radiate the most energy? Is this a cool or hot star? (Give your answer relative to the Sun.)arrow_forwardMany of the bright stars in the night sky are highly luminous normal blue stars (such as Acrux), and others are blue giants (such as Rigel) or red giants (such as Betelgeuse). Generally, such stars have a luminosity of 103 to 105 times that of our Sun! Ignoring any effects from our atmosphere, how bright would a star with a luminosity of 8380 solar luminosities be if it were located 620 light years from Earth? (You will need to convert some values.) W/m² For comparison, if you were 1 meter from a regular 100 W light bulb, the brightness would be 7.96 W/ m². (Since stars are not this bright, your answer should be considerably less!) Kind of amazing you can see these things, isn't it?arrow_forward
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