Chapter 8: Problem 26
What is microlensing? How does it enable astronomers to discover extrasolar planets?
Chapter 8: Problem 26
What is microlensing? How does it enable astronomers to discover extrasolar planets?
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The planet discovered orbiting the star 70 Virginis (" \(70 \mathrm{Vir}\) " in Figure 8-17), 59 light-years from Earth, moves in an orbit with semimajor axis \(0.48 \mathrm{AU}\) and eccentricity \(0.40\). The period of the orbit is \(116.7\) days. Find the mass of 70 Virginis. Compare your answer with the mass of the Sun. (Hint: The planet has far less mass than the star.)
Because of the presence of Jupiter, the Sun moves in a small orbit of radius \(742,000 \mathrm{~km}\) with a period of \(11.86\) years. (a) Calculate the Sun's orbital speed in meters per second. (b) An astronomer on a hypothetical planet orbiting the star Vega, 25 light- years from the Sun, wants to use the astrometric method to search for planets orbiting the Sun. What would be the angular diameter of the Sun's orbit as seen by this alien astronomer? Would the Sun's motion be discernible if the alien astronomer could measure positions to an accuracy of \(0.001\) arcsec? (c) Repeat part (b), but now let the astronomer be located on a hypothetical planet in the Pleiades star cluster, 360 light-years from the Sun. Would the Sun's motion be discernible to this astronomer?
Use the Stamy Night Enthusiast \({ }^{\mathrm{TM}}\) program to examine stars that have planets. Select Stars > ExtraSolar Planets in the Favourites menu. In the star map that appears, each circled star has one or more planets. (You can zoom in and zoom out using the buttons at the right side of the toolbar. Click the Info tab at the left of the main window to open the Info pane and open the Other Data panel. Then click on a circled star to learn more about its properties. Note that the information given for each star includes the apparent magnitude, which is a measure of how bright each star appears as seen from Earth. Apparent magnitude uses a "backwards" scale: The greater the value of the apparent magnitude, the dimmer the star. Most of the brighter stars you can see with the naked eye from the Earth have apparent magnitudes between 0 and 1 , while the dimmest star you can see from a dark location has apparent magnitude 6. Are most of the circled stars visible to the naked eye? List at least two stars that are visible, and include their apparent magnitudes.
What is the nebular hypothesis? Why is this hypothesis accepted?
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