Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
Publisher: Cengage Learning
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Chapter 1, Problem 10P
To determine
The distance of Betelgeuse from earth.
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Let us imagine that the spectrum of a star is collected and we find the absorption line of Hydrogen-Alpha (the deepest absorption line of hydrogen in the visible part of the electromagnetic spectrum) to be observed at 656.5 nm instead of 656.3 nm as measured in a lab here on Earth. What is the velocity of this star in m/s? (Hint: speed of light is 3*10^8 m/s; leave the units off of your answer)
Let us imagine that the spectrum of a star is collected and we find the absorption line of Hydrogen-Alpha (the deepest absorption line of hydrogen in the visible part of
the electromagnetic spectrum) to be observed at 656.5 nm instead of 656.3 nm as measured in a lab here on Earth. What is the velocity of this star in
m/s? (Hint: speed of light is 3*10^8 m/s; leave the units off of your answer)
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Using the center-of-mass equations or the Center of Mass Calculator (under Binary-Star Basics, above), you will investigate a specific binary-star system. Assume that Star 1 has
m1 = 3.2
solar masses, Star 2 has
m2 = 1.6
solar masses, and the total separation of the two (R) is 80 AU. (One AU is Earth's average distance from the Sun.)
(a)
What is the distance,
d1,
(in AU) from Star 1 to the center of mass?
Chapter 1 Solutions
Stars and Galaxies (MindTap Course List)
Ch. 1 - Prob. 1RQCh. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - What is the difference between the Moon and a...Ch. 1 - Prob. 5RQCh. 1 - Why are light-years more convenient than miles,...Ch. 1 - Prob. 7RQCh. 1 - Prob. 8RQCh. 1 - Prob. 9RQCh. 1 - Prob. 10RQ
Ch. 1 - What are the largest known structures in the...Ch. 1 - Prob. 12RQCh. 1 - Prob. 13RQCh. 1 - Prob. 14RQCh. 1 - Prob. 15RQCh. 1 - Prob. 16RQCh. 1 - Prob. 1PCh. 1 - The equatorial diameter of the Moon is 3476...Ch. 1 - Prob. 3PCh. 1 - A typical galaxy is shown on the first page of the...Ch. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - If the speed of light is 3.0 105 km/s, how many...Ch. 1 - Prob. 10PCh. 1 - How long does it take light to cross the diameter...Ch. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Prob. 1SPCh. 1 - Prob. 2SPCh. 1 - Prob. 3SPCh. 1 - Prob. 4SPCh. 1 - Prob. 1LLCh. 1 - Prob. 2LLCh. 1 - Prob. 3LLCh. 1 - Prob. 4LLCh. 1 - Prob. 5LLCh. 1 - Prob. 6LL
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- Do the previous problem again, this time using the information that the Sun is 150,000,000 km away. You will get a very large number of km as your answer. To get a better feeling for how the distances compare, try calculating the time it takes light at a speed of 299,338 km/s to travel from the Sun to Earth and from Alpha Centauri to Earth. For Alpha Centauri, figure out how long the trip will take in years as well as in seconds.arrow_forwardWhite Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 106 g/cm?. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass/volume, and the volume of a 4 sphere is Tr.) 3 km Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size? I Table A-10 I Properties of the Planets ORBITAL PROPERTIES Semimajor Axis (a) Orbital Period (P) Average Orbital Velocity (km/s) Orbital Inclination Planet (AU) (106 km) (v) (days) Eccentricity to Ecliptic Mercury 0.387 57.9 0.241 88.0 47.9 0.206 7.0° Venus 0.723 108 0.615 224.7 35.0 0.007 3.4° Earth 1.00 150 1.00 365.3 29.8 0.017 Mars 1.52 228 1.88 687.0 24.1 0.093 1.8° Jupiter 5.20 779 11.9 4332 13.1 0.049 1.30 Saturn 9.58 1433 29.5 10,759 9.7 0.056 2.5° 30,799 60,190 Uranus 19.23 2877 84.3 6.8 0.044 0.8° Neptune * By definition. 30.10 4503 164.8 5.4 0.011 1.8° PHYSICAL PROPERTIES (Earth = e)…arrow_forwardUsing the center-of-mass equations or the Center of Mass Calculator (under Binary-Star Basics, above), you will investigate a specific binary-star system. Assume that Star 1 has m₁ = 3.4 solar masses, Star 2 has m₂ = 1.4 solar masses, and the total separation of the two (R) is 52 AU. (One AU is Earth's average distance from the Sun.) (a)What is the distance, d₁, (in AU) from Star 1 to the center of mass? AU (b)What is the distance, d2, (in AU) from Star 2 to the center of mass? AUarrow_forward
- Considering that Earth experiences an average intensity of sunlight of 1330 W/m? and is at a distance from the Sun of 1.0 AU = 150 million km, and considering that that the apparent magnitude of the Sun as seen from Earth is m = -26.7, (a) then how far from the Sun would a distant Kuiper- belt world need to be in order for the apparent magnitude of the Sun to be m = -11.0 as seen on that world? Give your answer in AU. (b) What would be the orbital period of this world? Give your answer in Earth years.arrow_forwardReview Conceptual Example 3 for information pertinent to this problem. When we look at a particular star, we are seeing it as it was 307 years ago. How far away from us (in meters) is the star? Take a year to be 365.25 days.arrow_forwardgiven: the mass of Sagittarius A* in units of solar masses = 3,832,087.773 MSun. Question: This object is known to be relatively small in size, with a diameter of about 60 million kilometers. For comparison, Earth is 149.6 million kilometers away from the Sun. Based on this fact, what do you think this object is? Hint: The object itself emits virtually no light at all.arrow_forward
- Suppose we find an Earth-like planet around one of our nearest stellar neighbors, Alpha Centauri (located only 4.4 light-years away). If we launched a "generation ship" at a constant speed of 1500.00 km/s from Earth with a group of people whose descendants will explore and colonize this planet, how many years before the generation ship reached Alpha Centauri? (Note there are 9.46 ××1012 km in a light-year and 31.6 million seconds in a year.arrow_forwardMost stars (Main sequence) generate light through the same mechanism. Because of this, there is an empirical relation between their mass, M, and their Luminosity, L. This relation could be written in the form L/Lsun = (M/Msun, This relation is shown in the log-log diagram below. Find the value of a and round it to the nearest integer. 10 104 102 10-2 10-4 0.1 1.0 2.0 0.2 0.5 5.0 10.0 20.0 Mam (solar masses) Luminosty (solar units)arrow_forwardI attempted to answer this question and I'm not sure what I am doing wrong. My formula says A.S. = 206265 (separation/distance from observer) I know to convert to the same units, so I ended up with 80 Million Km being 8 x 10 ^ -6 LY Could you please explain each step especially for the part that I got wrong for both A and B?arrow_forward
- In a binary star system, the average separation between the stars is 5 AU and their orbital period is 4 years. What is the sum of their masses? (Enter your answer in terms of the mass of the Sun.) 781 Msun The average distance of Star A from the center of mass is 5 times that of Star B. What are their individual masses? (Enter your answers in terms of the mass of the Sun.) Star A How are the distances of each star from the center of mass related to their masses? Meun Star B Be sure you are entering the mass of Star B here. Mearrow_forwardPart 3 1. The diameter of the Sun is 1,391,400 km. The diameter of the Moon is 3,474.8 km. Find the ratio, r= Dsa/Dsvan between the sizes. 2. From the point of view of an obs erver on Eanth (consider the Earth as a point-like object), during the eclipse, the Moon covers the Sun exactly. Sketch a picture to illustrate this fact. Use a nuler to get a straight line. Your drawing does not need to be in scale. 3. The Sun is 1 Astronomical Unit (AU) away from the Earth. Find the distance between the Earth and the Moon in AU's using the ratio of similar triangles. Show your work. DEM= AU. Convert this to kilometers. Use 1 AU = 149,600,000 km. DEM = km.arrow_forwardH5. A star with mass 1.05 M has a luminosity of 4.49 × 1026 W and effective temperature of 5700 K. It dims to 4.42 × 1026 W every 1.39 Earth days due to a transiting exoplanet. The duration of the transit reveals that the exoplanet orbits at a distance of 0.0617 AU. Based on this information, calculate the radius of the planet (expressed in Jupiter radii) and the minimum inclination of its orbit to our line of sight. Follow up observations of the star in part reveal that a spectral feature with a rest wavelength of 656 nm is redshifted by 1.41×10−3 nm with the same period as the observed transit. Assuming a circular orbit what can be inferred about the planet’s mass (expressed in Jupiter masses)?arrow_forward
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