Lab_Sun_solar_rotation

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Montgomery College *

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101

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Astronomy

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Dec 6, 2023

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MONTGOMERY COLLEGE – ROCKVILLE ASTRONOMY 101 ASTR101 [Rearranged as a Word Document by Emmanuel D. Smith] Laboratory 7 - The Period of Rotation of the Sun Name: The rotation period of an object is the time it takes for it to spin on its axis once. On Earth we know this to be close to 24 hours. In this lab you will measure the rotation rate of the Sun at different latitudes. The first reliable observation of the Sun’s rotation was made in 1613 by Galileo Galilei who watched the motion of sunspots across the solar disk over the course of several days. Sunspots are dark, cooler areas on the Sun’s surface that indicate areas of strong magnetic activity. They appear dark only because they are not as hot or bright as the area surrounding them. They can last for just hours to several months. They usually appear in groups and they can grow to many times the size of Earth. It was not until the 1860’s that the Sun’s differential rotation was observed: the Sun, being a gaseous body, does not rotate as a solid body. Instead, its rotation rate varies with latitude. In this lab we will observe and track sunspots across the Sun using real images from SOHO (Solar and Heliospheric Observatory), a project of international cooperation between ESA and NASA. From these high resolution images of the Sun we will determine the rate at which sunspots, and thus the photosphere of the Sun, rotate. We will do this by measuring the longitude of each sunspot as the Sun’s rotation carries it across the face of the Sun. 1
ASTR101 L ABORATORY 7 Examine the images of the sunspots on the Sun’s surface and how they change in a couple of days (Images from NASA & ESA SOHO spacecraft file Images_Sun.pdf). We will make measurements for the four A, B, C, and D sunspots marked on the images. Record in the table for each sunspot the longitude at each different date. 2
ASTR101 L ABORATORY 7 Sunspot A Sunspot B Date Longitude (degrees) Date Longitud e (degrees ) June 22 -59 June 22 - June 23 -45 June 23 -62 June 24 -32 June 24 -50 June 25 -17 June 25 -38 June 26 -11 June 26 -28 June 27 7 June 27 -11 June 28 24 June 28 5 June 29 34 June 29 17 June 30 44 June 30 27 July 1 61 July 1 43 July 2 74 July 2 58 July 3 - July 3 73 Sunspot C Sunspot D Date Longitude (degrees) Date Longitude (degrees) June 22 -59 June 22 2 June 23 -46 June 23 13 June 24 -34 June 24 25 June 25 -18 June 25 25 June 26 -12 June 26 - June 27 4 June 27 - June 28 18 June 28 - June 29 31 June 29 - June 30 40 June 30 - July 1 57 July 1 - July 2 72 July 2 - 3
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ASTR101 L ABORATORY 7 July 3 - July 3 - 4
ASTR101 L ABORATORY 7 In the next table record the first and last date you see each sunspot and also the corresponding longitude and latitude. Sunspot Latitude Initial Date Initial Long. Final Date Final Long. Long. Motion (degrees/day) Long. Motion +1degree/day Period of Rotation (days) A -15 June 22 -59 July 2 74 13.3 14.3 25.5 B 13 June 23 -62 July 3 73 13.5 14.5 25.2 C 18 June 22 -59 July 2 72 13.1 14.1 25.9 D -40 June 22 2 June 26 25 7.7 8.7 41.9 To get the average degrees of longitude the sunspot moved per day, subtract the first from the last to determine the total degrees of change. (Note that you have to consider the sign of the longitude. For example, if the last longitude measured was +30 and the first was -15 then: total degrees of change = +30 - (-15) = 45 degrees). Then divide this number by the number of days it was observed. Because Earth is moving around the Sun about 1 degree per day (it takes about 365 days to circle the Sun in a year), in the same direction the Sun is spinning, you need to add one degree per day to compensate for this movement. The period of rotation is the time it takes for the Sun to make a complete rotation. Since there are 360 degrees in a full rotation, if we divide 360 by the daily longitude motion (degrees/day) +1, we will get the Sidereal Period (how long does it take for the sun to make a full rotation with respect to the stars). Calculate the Sidereal Period for the different latitudes. (Show all your calculations) 5
ASTR101 L ABORATORY 7 1) The Sun rotates in the same direction as the Earth does. What direction is that as you face an image of the Sun, left to right or right to left? Left to Right 2) Do some sunspots change in size or/and shape as they move around the Sun? The sunspots do seem to change in size and shape as they move around the Sun. As the sunspots move towards the right they seem to get smaller in size and the shaping does change a little bit as well along the way. 3) Does Earth period of rotation vary between polar and equatorial regions? Why do you think the Sun has differential rotation and Earth does not? Earths period of rotation does not vary between polar and equatorial regions. This is because Earth rotates faster at the Equator than it would at the polar locations. The sun has differential rotation because it is a ball of gas/plasma which means it does not rotate the way other solid planets do. 4) Now consider the latitudes of your sunspots and their periods. Which sunspots move faster, the ones with lower latitude (closer to the equator) of the ones with higher latitude (closer to the poles)? Based on your results, which part of the Sun appears to rotate fastest? According to my data the sunspots in the lower in latitude (closer to the equator) move the fastest. This means the equatorial region of the sun rotates the fastest. 6
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