Transiting Exoplanet Tr Es-3b Paper

March 8, 2022
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Transiting Exoplanet Tr Es-3b Paper

Transiting Exoplanet Tr Es-3b Paper

Today, we are going to use Stellarium, to investigate the extrasolar planetary system around the star, TRAPPIST-1. This system consists of 7 extrasolar planets orbiting the red dwarf star, TRAPPIST-1, in the constellation Aquarius. Today, you are going to investigate some of their properties and see how they compare to our solar system. You are going to do some calculations, so locate your calculator! You are also going to do some graphing at the end.

PROCEDURE:
Start up stellarium and set the date to. 2020-10-13 and the time to 22:36:4 and face South. Open the search window (4th icon down on the left hand side) and type TRAPPIST-1 and hit return.

You should see info on this system on your screen. At the bottom of the info screen, you will see Exoplanet b, c, etc. The first exoplanet discovered around the star TRAPPIST-1 is TRAPPIST-1b, the 2nd is TRAPPIST-1c, etc. The orbital period is in days. The semi major axis is the average distance of the extrasolar planet from TRAPPIST-1. Fill out the appropriate columns.

Planet Planet’s Planet’s
Semi major Period or
Axis (AU) Year
1. TRAPPIST-1b

2. TRAPPIST-1c

3. TRAPPIST-1d

4. TRAPPIST-1e

5. TRAPPIST-1f

6. TRAPPIST-1g

7. TRAPPIST-1h

 

Transiting Exoplanet Tr Es-3b PaperTRAPPIST-1 Parameters

Mass Radius Distance Spectral Effective
Type Temperature
0.080 Msun 0.11700 Rsun 39.46 ly M8V 2560 K

 

Questions
1. Using the data in the above table, and knowing that the Sun’s radius, Rsun, is 695,000 or 6.95 x 105 km, calculate the radius of TRAPPIST-1.

 

2. Knowing that the diameter of our Sun is 2 x 6.95 x 105 km = 1.39 x 106 km, how much larger is our Sun compared to TRAPPIST-1? The data in the table above indicate that TRAPPIST-1 is a dim, red dwarf star.

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3. Knowing that 1 AU is 150 million km or 1.5 x 108 km, how far away are TRAPPIST-1 b, c, etc from the star TRAPPIST-1? Use the semi major axis you tabulated in your first table. Do the calculation and put the results in the respective rows.

Distance
From
TRAPPIST-1
1. TRAPPIST-1b

2. TRAPPIST-1c

3. TRAPPIST-1d

4. TRAPPIST-1e

5. TRAPPIST-1f

6. TRAPPIST-1g

7. TRAPPIST-1h

 

4. Knowing that Mercury is .33 AU = .33 x 1.5 x 108 km = 4.5 x 107 km from our Sun, how do the distances you calculated in #3 compare to Mercury’s distance from the Sun? In other words, will the TRAPPIST-1 system fit in our solar system? Explain your answer in a sentence or two.

5. A year on Mercury is 88 days. How do the ‘years’ on these TRAPPIST-1 planets compare to Mercury’s year?

Transiting Exoplanet Tr Es-3b PaperExamining an Exoplanet

You are now going to investigate the light curve of an-other exoplanet, using data obtained here, at CSM’s observatory. A CCD camera was attached to our 140 mm refractor telescope and the variation of a star’s light varied, as exoplanet, TrES-3b, crossed in front of it. The period or year of this planet was only 1.3 days! You are going to plot the planet’s magnitude, on the y-axis, vs the time, on the x-axis, on the Transiting Exoplanet TrES-3b sheet. Once done, draw a smooth curve, connecting the points and answer the following questions.

6. What was the time of minimum light? That is, what time did the planet cross the star’s center? To do this, look at your plot, it should be symmetrical. Look for the point where the plot dips the most. That will be the time of minimum light.

7. How long did it take the exoplanet, TrES-3b, to transit the planet? To do this, examine the plot and notice that the magnitude stays constant, then decreases, until the time of minimum light is reached, then increases and the magnitude remains constant again. Look where the magnitude just starts to dip, this is when the exoplanet just starts its transit. This is called: Beginning of Transit. Now, look for the corresponding point where the exoplanet just exits its transit. This is called: Ending of Transit. The time difference between these two points is the answer you are seeking.

Beginning of Transit (UT time) ____________

Ending of Transit (UT time) ____________

Transit duration: Ending of Transit – Beginning of Transit = _________ minutes

 

What did you learn from this experiment?

 

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