Project #6 Asteroids

The purpose of this exercise is to observe the motion of an asteroid against the background of stars and to detect its light variation due to its orbital motion.

Preparation

UPDATE

There may be an easier way to get an asteroid finder. Go to heavens-above . Under Astronomy, right after Comets, they have 'Minor planets brighter than mag 10'. Pick one and see if it is visible for your observing run.

The coordinates for the night are given. You still might get a chart from the Navy (see below), but the Heavens-Above chart might do it. our CCD is about 1/10 the size of the H-A fine finder chart.

OR try this

From the following asteroids, 9 Metis, 40 Harmonia and 2 Pallas, choose one to observe. You want to observe it for about two hours to see its motion and possible light variation.

Once you pick a possible target use ASTFINDER to get a chart. Enter just the number OR the name not both. Use observatory #764. Enter the beginning of your observation time. At the top of the chart you will find the RA and Dec of the asteroid at your time of observation. Make sure it will be up during your observation.

The ASTFINDER chart is great for figuring out the asteroid placement and direction of motion BUT it shows stars down to 19 magnitude.

We should be so lucky!  Go get another chart of the same region at the Naval Observatory (Flagstaff Station)

You can use the defaults except you have to enter the coordinates, of course, and choose 12 mag for the R2 mag limit. (You can use I, for infrared, instead of R2, for red, if you want.  It will not make much difference. Hit retrieve data and you will get a picture in the upper window, which will be what you are looking for. When you take your CCD picture is will look something like this [maybe rotated] but with the asteroid on it. Some of the fainter stars you will not see in the eyepiece and may not see in the CCD picture depending on how faint you expose.

You should be able to identify the brighter stars in ASTFINDER.  Mark where the asteroid will be on the USNO chart.  You can also list the stars on the USNO chart by clicking the USNO A2 Star List link to make sure they will be bright enough to see.  11 mag is ok, 10 mag is better and 9 mag not a problem. To get a good result you will need a CCD frame (12x12 arcminutes) that has the asteroid and at least one other star in it for which you can get good exposures. If this is not the case try another target. Preparing two targets for the same night might give some security that you will get good data.

 

Observations

To save time in the dome have your finder chart and the coordinates for your offset star in hand. Move to the asteroid field and take a picture. Check to see if you have an object not on the finder. The magnitude should be a clue. That is, if the predicted magnitude is 10 and you have other 10 magnitude stars on the finder they should be about the same.

Once you think you have start taking CCD images. Your goal is to take about 2 hours of exposures. This is not to hard since Maxim has a feature to take one after another. Under sequence change number to 300 or so. Put a name like Juno in the space for names. Then when you go back to expose and mark sequence it will take pictures Juno001.fit, Juno002.fit, etc. When you want it to stop just click abort. Do this while it is taking and exposure and it will throw that one a way and be ready to start again. If you abort during download it will lose count and you will have to go to the Sequence page and up the start number by 1. You do not have to log every observation. Just note the first one and the last one [before any abort].

The field may drift a bit. You can abort the sequence, recenter a bit, and then start up the procedure. Don't be too picky. You would like to keep the asteroid and one or two stars in the frame. You will be using the reference stars to measure the asteroids brightness changes and motion. The R or I filters are your best bets.

Another way to reduce drift is to change the tracking rates.  If you click on the ‘55’ button at the top you will get a menu in which you can change the track in ra and dec.  For ra 15 is the nominal rate.  Changing it to 15.01 will speed it up and 14.99 will slow it down.  Change it in small steps and see what it does.  Dec should not matter much.

Reduction and analysis

You need to do two things:

  1.  Measure the motion over the two hours

    Choose a good exposure at the beginning and the end of the observing run. Measure the x,y coordinates of at least two stars on either side of the asteroid in an NS and EW direction. Measure the x,y coordinates of the asteroid. Interpolate the asteroid's position in RA and DEC by using the RA and DEC of the stars using your list you printed with the finder chart. [If you did not print it out, do so now.] You should write the beginning and end RA and DEC in your report with their start and end times.

Calculate the distance traveled in pixels and then, using the scale of the telescope, in arc seconds. How many arc seconds did the asteroid move in what amount of time? Explain how this could be converted to the rate of motion in the asteroid's orbit. Be clear about what other information you would need.

  1. 2) Measure the changing brightness

    Pick two stars about as close to the asteroids brightness as possible on the CCD image. Measure the brightnesses of the stars using the data reduction software. You do not have to do every point!  If you measure every a point 5-6 minutes that will be fine.  Try to get about 20-25 points total.   Record the difference in magnitudes of (Star1 - Star 2) and (Star1 - Asteroid) vs. time. Plot both differences vs. time for the two hours [minutes is a good unit for the x-axis, magnitude for the y-axis.

Remember, smaller magnitude at the top.] (Star1- Star2) should remain constant. Why? Did you get a change in brightness for (Star1-Asteriod)? How much in what amount of time? Can you explain how a solid rock can change in brightness? Why is this NOT a due to the changing distance?

Write-up

You need to have print outs of the beginning and ending images you used to show the motion as well as your calculations. Show the motion on the printouts. Which direction is it? Include the 'time series' data [the time vs. magnitude] with your plots. Also include the finder chart with the asteroid sketched on it. Did the table you printed out when finding the asteroid on the web have a period of rotation for the asteroid? If is did, how does this compare with the variation you found?