Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Question
Chapter 19, Problem 44Q
To determine
Whether or not, the annular eclipses were more common a few billion years ago than they are today.
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Part 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.
A solar eclipse is only visible over a narrow strip on the Earth's surface. This is most closely associated with:
Select one alternative:
The ways in which our view of the sky depends on latitude.
The combination of the Earth's rotation on its axis and its movement around the sun.
The elliptical nature of the moon's orbit.
The perspective dependence associated with parallax.
Solar eclipses are actually visible to everyone on the daylight side of the earth.
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.
Chapter 19 Solutions
Universe: Stars And Galaxies
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- Mercury's orbit ranges from 46 to 70 million km from the Sun, while Earth orbits at about 150 million km. a. The Sun has a 30-arc-minute diameter viewed from Earth; what range of sizes does it have when viewed from Mercury? When Mercury is 46 million km from the Sun, the Sun has a diameter of When Mercury is 70 million km from the Sun, the Sun has a diameter of arc-minutes. arc-minutes. b. At Mercury's orbital extremes, how many times stronger is the Sun's radiation on Mercury than on Earth? At 46 million km, the Sun's radiation is times stronger than on Earth. At 70 million km, the Sun's radiation is times stronger than on Earth.arrow_forwardHow can we calculate the duration of an eclipsearrow_forwardBased on what you've learn on the impact of the Earth-Sun distance on the seasons, what can you say about the the cause of the seasons? (Give ALL correct answers, i.e., B, AC, BCD...)A) Earth's axis is tilted an an angle of 23.5 degrees compared to a line perpendicular (straight up and down) to its orbit, which is the main cause for the seasons.B) Earth's speed varies in its orbit around the Sun, giving us summer when Earth is moving fastest and winter when Earth is moving slowest.C) The Earth-Sun distance play a major role in creating seasons on Earth.D) The tilt of Earth's axis causes the Northern Hemisphere to be closer to the Sun than the southern hemisphere in summer, and vice versa in winter. E) The tilt of Earth's axis causes different portions of the Earth to receive more or less direct sunlight at different times of year.F) Earth's Northern Hemisphere is always tilted away from the Sun at an angle of 23.5 degrees.G) Earth's Northern Hemisphere is always tilted toward the Sun…arrow_forward
- 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_forwardPlease explain how you got the answer for this, thank you so much!arrow_forwardA distant galaxy has an apparent magnitude of 13 and is 5,000 kpc away. What is its absolute magnitude? (Round your answer to at least one decimal place.) The difference in absolute magnitude between two objects viewed from the same distance is related to their fluxes by the flux-magnitude relation. FA = 2.51(MB - MA) FB How does the absolute magnitude of this galaxy compare to the Milky Way (M = -21)? F, distant galaxy FMilky Wayarrow_forward
- Is 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_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/m^2. 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. b) At the orbit of Jupiter (780 million km from the Sun).arrow_forward
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