Venus can be as bright as apparent magnitude −4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 7 pc? Assume Venus has the same illumination phase from your new vantage point. (Hints: Recall the inverse square law; also, review the definition of apparent visual magnitudes. Note: 1 pc = 2.1 ✕ 105 AU). What would its apparent magnitude be?

Venus can be as bright as apparent magnitude −4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 7 pc? Assume Venus has the same illumination phase from your new vantage point. (Hints: Recall the inverse square law; also, review the definition of apparent visual magnitudes. Note: 1 pc = 2.1 ✕ 105 AU). What would its apparent magnitude be?

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Venus can be as bright as apparent magnitude −4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 7 pc? Assume Venus has the same illumination phase from your new vantage point. (Hints: Recall the inverse square law; also, review the definition of apparent visual magnitudes. Note: 1 pc = 2.1 ✕ 105 AU). [fill in the blank] times fainter What would its apparent magnitude be?
4) Science fiction movies often portray asteroid belts as crowded, dense regions that require spaceships to maneuver quickly to get through them. In this problem, we will calculate the fraction of volume in an asteroid belt that is actually occupied by asteroids. a) If there are 300,000 large asteroids between 2 and 3 AU from the Sun, and each asteroid is assumed to be spherical with a radius of 100 km, determine the total volume occupied by asteroids in this region. Recall that the volume of a sphere is given by the equation V = 4TR³ /3. b) Let's assume the region in which these asteroids orbit is an annulus with an inner radius of 2 AU, an outer radius of 3 AU, and a thickness of 2Ro. Determine the volume of this region. Recall that the area of a circle is given by the equation A = TR². Here are two conversions that you'll need: 1 AU = 1.496 × 108 km and 1 Ro = 6.955 × 105 km. c) What is the ratio of the volume occupied by asteroids to the volume of the asteroid belt (i.e., the…
At an average opposition, the Earth and Mars are separated by 0.52 AU. Suppose an astronomer observes Mars at opposition and that seeing blurs the images to a resolution of 1.0 seconds of arc. What is the smallest surface feature the astronomer would be able to resolve on Mars? How does this size compare with the diameter of Mars?
If you stood on Earth during its formation, during which it captured about 1.6 ✕ 1011 particles per second, and watched a region covering 170 m2, how many impacts would you expect to see in an hour? (Notes: The surface area of a sphere is 4?r2. Hint: Assume that Earth had its current radius of 6,378 km.)
The planet Uranus was discovered in 1781, and Neptune, the next planet outward from the Sun, was discovered in 1846. Imagine you're an astronomer in 1846, and you start wondering if there's another planet out beyond Neptune. You decide to try and discover its existence using the same method that was used for Neptune. How will you do this? Group of answer choices You'll recruit a large number of astronomers to use their telescopes to carefully scan the sky in directions that are far from the ecliptic. The regions around the north and south celestial poles will probably be the best "hunting grounds" for the new planet. You'll examine Uranus and Neptune very carefully, on every clear night, for several years, to see if you can find any evidence that sunlight has been reflected off of the `new' planet, then off of Uranus or Neptune, before arriving on Earth. On rare occasions when Neptune passes in front of the Sun, as seen from Earth, you'll look carefully at the Sun (with a safe…
How deep would be the eclipse caused by Jupiter transiting in front of the Solar disk, as observed from a distant star?
Imagine that you visit a planet orbiting another star and discover that it is heavily cratered, but its small moon is nearly crater free. Why would that be a surprise? Speculate what might have happened to those objects.
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Imagine a trans-Neptunian object with roughly the same mass as Earth but located 50 AU from the sun. a) based on the solar nebula theory, what do you think this object would be made of and why? b) on the basis of speculation, assume a reasonable density for this object and calculate its diameter in units of Earth radii.
If you were to record the spectrum of Saturn as well as the A ring, you would find light from one edge of the rings redshift and light from the other edge blueshift. If you observed a spectral line at a wavelength of 525 nm, what difference in wavelength (in nm) should you expect between the opposite edge of the rings? (Hint: The radius of the edge of the A ring is 136,500 km. Use the formula for orbital velocity and the formula for the Doppler shift.) _______ nm
For the following light curve, which of the answers best illustrates the orientation of the exoplanet and its host star during the dip at Time 3? Light curve Time 1 Time 2 Time 3 Time 4 Choose one: А. O C. D. Intensity B.