Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 17, Problem 24Q
To determine
The distance of dimmest star from Earth in au and pc that can be seen with unaided eye, if the star HIP 92403 is 2.97 pc from Earth, which is 60 times dimmer than the dimmest star that is visible to an unaided eye.
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Chapter 17 Solutions
Universe
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- As seen from Earth, the Sun has an apparent magnitude of about 26.7 . What is the apparent magnitude of the Sun as seen from Saturn, about 10 AU away? (Remember that one AU is the distance from Earth to the Sun and that the brightness decreases as the inverse square of the distance.) Would the Sun still be the brightest star in the sky?arrow_forwardIf a transit depth of 0.00001 can be detected with the Kepler spacecraft, what is the smallest planet that could be detected around a 0.3 RsunM dwarf star?arrow_forwardIf the Orion Nebula is 8 pc in diameter and has a density of about 6.0 108 hydrogen atoms/m3, what is its total mass? (Notes: The volume of a sphere is 43r3; 1 pc = 3.1 1016 m; the mass of a hydrogen atom is 1.7 1027 kg.)arrow_forward
- What is the escape velocity (in km/s) from the surface of a 1.5 M neutron star? From a 3.0 M neutron star? (Hint: Use the formula for escape velocity, Ve = 2GM r ; make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 ✕ 1030 kg.) 1.5 M neutron star km/s3.0 M neutron star km/sarrow_forwardTrappist-1 is a star that has been found to be orbited by seven Earth-like planets. From the most massive of these, Trappist-1c, the star has apparent brightness of about 3,002 W/m2. What is the brightness of the star as seen from Trappist-1g, which is 3 times farther away? W/m2arrow_forwardA star with spectral type A0 has a surface temperature of 9600 K and a radius of 2.2 RSun. How many times more luminous is this star than the Sun? (if it is less luminous enter a number less than one) 36.854 This star has a mass of 3.3 MSun. Using the simple approximation that we made in class, what is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr.arrow_forward
- The Algol binary system consists of a 3.7 Msun star and a 0.8 Msun star with an orbital period of 2.87 days. Using Newton’s version of Kepler’s Third Law, calculate the distance, a, between the two stars. Compare that to the size of Betelgeuse (you’ll need to look that up). Newton’s Version of Kepler’s Law: (M1 + M2) P2 = (4p2 /G) a3 Rearrange the equation to solve for a. Pi, p, is equal to 3.14. IMPORTANT NOTE: Google the value of G (the Universal Gravitational Constant) or look it up in your text. NOTICE THE UNITS. You must convert every distance and time in your equation to the same units, otherwise, you’ll get an incorrect answer. That means you must convert distances to meters, solar masses to kilograms, and time to seconds. When you compare your value to the size of Betelgeuse, it will also help that they are in the same units.arrow_forwardWhat is the apparent magnitude of the sun as seen from Saturn about 10 AU away? Appear to magnitude of Saturn =arrow_forwardWhat diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 1 pc from Earth?arrow_forward
- A planet orbits 1 AU from a star that is 3.5 times as massive as our Sun. How does the star's luminosity compare? If the star has the same radius as our Sun, what is the temperature of the star compared to the Sun? If Earth's average temperature is 287 K and the Sun were replaced with this star, how would its average temperature change? (Enter a temperature in K. Assume that Earth temperature is proportional to solar flux.)arrow_forwardEarth is about 150 million kilometers from the Sun (1 Astronomical Unit, or AU), and the apparent brightness of the Sun in our sky is about 1300 watts/m2. Using these two facts and the inverse square law for light, determine the apparent brightness that we would measure for the Sun if we were located at the following positions. a) At the orbit of Jupiter (780 million km from the Sun).arrow_forwardThe nearest star to our solar system is 4.29 light years away. How much is thisdistance in terms of parsecs? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the Earth six months apart in its orbit around the Sun ?arrow_forward
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