Martian Crater Density Data Table Northern Hemisphere Number of Craters Number of Craters in Image in 1,000,000 km2 Southern Hemisphere Astronomy 110 / 111 Laboratory Number 4: Crater and Surface Ages Crater size of CratersCounts Number of Craters range (km) in Image in 1,000,000 km2 Chart From ASTR150 @ U.W. In this < 8 laboratory, you will use cratering counts on the surface of the Moon to develop estimates of surface age. Crater counts are an essential tool in studying the geology of 8 - 16 planets since we are not able to get samples from all the planets and then use 16 - 32 radioisotopes to determine their ages. Instead, we use a calibrated rate of cratering based on a few isotope samples from the moon in the same places that we can 32 - 64 estimate crater counts. This calibrates an empirical relationship which we then can 64 - 128 generalize to other areas of the Moon and indeed the rest of the Solar System, though the latter is with some caution. Astronomy 150 0–3 The Planets The chart above is a crater count-age graph which you will use through this laboratory. You use it as follows: 1. Find the region for which you want to measure the age. 2. Find several craters of about the same size. Use the scale bar to make a rough measure of that size (in km). 3. Find a number near that size on the x-axis of the graph above. For example, if you find a crater with size ~15.5 km, look for 16 km in the graph. Weʼll call this size the “target size.” 4. Count all the craters in the region with sizes between the small tick above the target size and the tick below the target size (14 km for the case of a target size of 16 km) Astronomy 110/111 • Laboratory 4 • Page 1 of 3 and the small tick above the target size (20 km for a target size of 16 km). This is the observed number of craters Nobs. 5. Using the scale bar, estimate the observed area for your region in square km. This is the variable Aobs 6. Calculate the number of craters that would be observed in 1,000,000 square km, Npredicted: Npredicted = Nobs 106 sq km Aobs 7. Find the predicted number on the y-axis of the chart above and trace over to the intersection of that number and the target size. Find the two diagonal age lines that the intersection is in between. Estimate the age of the surface based on the ages indicated next to the chart in Gyr. 8. Repeat the experiment for another target size in the same region in order to obtain a second estimate of the age. Compare the two ages for consistency. 1. Age of the Maria The age of the Lunar Maria was measured by radioisotope dating and serves as the basis for the crater count experiments. In this section, we will measure the age of the maria using crater counts. We will use imaging data on the Google(tm) maps data on the moon. To do this, start a web browser and go to http://moon.google.com/ Use the navigation tools in the left-hand corner to find the maria which are the very dark regions on the moon. Zoom in on the maria and find a region with some craters. You will need to use the scale bar in the lower left-hand corner to measure the sizes of objects. Q1: Using the method described in the introduction, measure the age of the maria using crater counts. Hints: You will need to define a target area, but you will frequently zoom in on the area and move it around. To be able to always return to the same area, click on the “Link to this page” link above the navigation tools and bookmark the URL. The “Visible” images are the default and a good way to identify the maria, but the craters stand out best in the “Elevation” images. The Apollo button shows where the moon landings occurred. Note that all of the landings were on the maria and so all our sampling is from this area. 2. Age of the Lunar Highlands The next area for exploration is the Lunar Highlands which are primarily on the far side of the moon. They are the light colored regions near the equator of the moon, opposite the maria. These regions have only been observed by satellite so the ages are only from cratering count. These regions are reportedly the oldest surface area of the moon. Does your crater counting bear that out? Astronomy 110/111 • Laboratory 4 • Page 2 of 3 Q2: Use the crater counting method to estimate the age of the lunar highlands. The same hints as before apply. Q3: The crater counting chart has a lot of information encoded in it. Based off your reading in the textbook and class notes, answer the following questions: (1) Why do the “age lines” slope from upper left to lower right? (2) Why are the age lines for older ages above the lines for younger ages? Concluding Investigation: We can also use the crater counting chart above to estimate the ages of other surfaces in the Solar system. The approximation is rather rough but relies on assuming (1) that the number of impactors of a given size is uniform for a given period in the Solar Systemʼs history and (2) that the speed of impact is dominated by the orbital motion of the impactor and not the gravity of the planet. The TA has several images from the surface of Mars. Select one image and use the techniques you have developed above, estimate the age for this area. Astronomy 110/111 • Laboratory 4 • Page 3 of 3
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