The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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Chapter 3, Problem 8RQ
To determine
Check whether the apparent visual magnitude of two stars tells about its relative distance from Earth and give reason.
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I am trying to plot the ground tracks of an orbit. But I am having a problem with finding the longitude. The equation for the longitude is shown in the image. Is the Theta GMST initially zero because the greenwich meridian points to the Aries point (x-axis). How do you calculate alpha or vernal equinox? I saw a formula for alpha which is alpha = arctan(ry/rx), but the formula was for Right Ascension angle. Is the right ascension angle the same as vernal equinox. If not, then what is the formula for vernal equinox.
Review 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.
Description: If you could see both the Sun and the other stars during the day, this is what the sky would
look like looking south at noon on January 1 for an observer in the northern hemisphere. The Sun would
appear in the sky next to the more distant stars in the constellation Sagittarius, (labeled constellation C).
Also shown are other constellations (named and labeled A, B, D, and E) that will be visible above the
horizon at this time when facing south.
Aquarius
-EAST
B
Capricornus
Horizon
Sagittarius
SOUTH
SUN
D
Scorpius
Libra
E
WEST->>
Chapter 3 Solutions
The Solar System
Ch. 3 - Why are most of the constellations that were...Ch. 3 - Prob. 2RQCh. 3 - Prob. 3RQCh. 3 - Prob. 4RQCh. 3 - Prob. 5RQCh. 3 - Prob. 6RQCh. 3 - Prob. 7RQCh. 3 - Prob. 8RQCh. 3 - Prob. 9RQCh. 3 - Prob. 10RQ
Ch. 3 - Prob. 11RQCh. 3 - If Earth had no atmosphere, what color would the...Ch. 3 - If the Moon orbited Earth from North Pole to South...Ch. 3 - Why do solar eclipses happen only at new moon? Why...Ch. 3 - Prob. 15RQCh. 3 - Prob. 16RQCh. 3 - Prob. 17RQCh. 3 - Why cant the Moon be eclipsed when it is halfway...Ch. 3 - Prob. 19RQCh. 3 - Prob. 20RQCh. 3 - Prob. 21RQCh. 3 - Prob. 22RQCh. 3 - Pretend the Moon’s orbit around Earth is a perfect...Ch. 3 - Prob. 2PCh. 3 - Identify the phases of the Moon if at sunset in...Ch. 3 - What fraction of the Moons surface area is the far...Ch. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - If a solar eclipse occurs on October 3: (a) Why...Ch. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 1SPCh. 3 - Prob. 2SPCh. 3 - Prob. 1LLCh. 3 - Prob. 2LLCh. 3 - Prob. 3LLCh. 3 - Prob. 4LLCh. 3 - Prob. 5LLCh. 3 - Prob. 6LLCh. 3 - Prob. 7LLCh. 3 - Prob. 8LLCh. 3 - Prob. 9LLCh. 3 - Prob. 10LLCh. 3 - Prob. 11LL
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- As we discuss in class, the radius of the Earth is approximately 6370 km. Theradius of the Sun, on the other hand, is approximately 700,000 km. The Sun is located,on average, one astronomical unit (1 au) from the Earth. Imagine that you stand near Mansueto Library, at the corner of 57th and Ellis.Mansueto’s dome is 35 feet (10.7 meters) high. Let’s imagine we put a model of theSun inside the dome, such that it just fits — that is, the model Sun’s diameter is 35 feet The nearest star to the Solar System outside of the Sun is Proxima Centauri,which is approximately 4.2 light years away. Given the scale model outlined above,how far would a model Proxima Centauri be placed from you? Give your answer inmiles and kmarrow_forwardConsider two identical stars, A and B. Star B is 10 times farther away than star A. What is the difference in magnitudes between the two stars?arrow_forwardIf you go out to look at the night sky tonight from central Iowa, the North Star (aka Polaris) is located near the North Celestial Pole at an altitude of approximately 42 degrees above the horizon. Why is that the case? What is the altitude of the celestial equator at its highest point as viewed from this location and how do we calculate that? Explain the myth behind one of the constellations located near North Celestial Pole and then explain the myth behind another constellation along the ecliptic plane.arrow_forward
- Explain the origin of the magnitude designation for determining the brightness of stars. Why does it seem to go backward, with smaller numbers indicating brighter stars?arrow_forwardLook at The Sky Around You, item 1a. In the looking south illustration, is Canis Major a circumpolar constellation? Why or why not?arrow_forwardWhat is a constellation as astronomers define it today? What does it mean when an astronomer says, “I saw a comet in Orion last night”?arrow_forward
- Ursa Minor contains the pole star, Polaris, and the asterism known as the Little Dipper. From most locations in the Northern Hemisphere, all of the stars in Ursa Minor are circumpolar. Does that mean these stars are also above the horizon during the day? Explain.arrow_forwardIn what ways is the celestial sphere a scientific model?arrow_forwardAs 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_forward
- Is the Sun an average star? Why or why not?arrow_forwardDescription: If you could see both the Sun and the other stars during the day, this is what the sky would look like looking south at noon on January 1 for an observer in the northern hemisphere. The Sun would appear in the sky next to the more distant stars in the constellation Sagittarius, (labeled constellation C). Also shown are other constellations (named and labeled A, B, D, and E) that will be visible above the horizon at this time when facing south. Aquarius -EAST B Capricornus Horizon Sagittarius SOUTH SUN D Scorpius Libra E WEST->>arrow_forwardIs there any place on Earth where all the visible stars are circumpolar? If so, where? Is there any place on Earth where none of the visible stars is circumpolar? If so, where? Explain your answers.arrow_forward
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