LUNAR ECLIPSE PROJECT WHAT IS AN ECLIPSE OF THE MOON (LUNAR ECLIPSE)? An eclipse occurs when a hypothetical straight-line can be drawn through the centres of the Sun, the Earth and the Moon (i.e. they all line up). Solar eclipses occur when the Moon in its orbit around the Earth passes between the Sun and Earth (Sun – Moon – Earth), with the shadow of the Moon falling on the Earth (new moon). Lunar Eclipses occur when the Earth lies between the Sun and the Moon (Sun – Earth – Moon) and the shadow of the Earth falls on the Moon (full Moon). More details are available at http://www.mreclipse.com/Special/LEprimer.html The times for the 4th April 2015 Lunar Eclipse is tabulated below in AEST. Note: NSW & Vic are still on daylight savings time (AEDT add 1 hour). Event UTC Time Time in QLD Visible in QLD Penumbral Eclipse begins (P1) 4 Apr at 9:03 AM 4 Apr at 7:03 PM Yes Partial Eclipse begins (U1) 4 Apr at 10:17 AM 4 Apr at 8:17 PM Yes Totality begins (U2) 4 Apr at 11:58 PM 4 Apr at 9.58 PM Yes Maximum Eclipse 4 Apr at 12:00 Noon 4 Apr at 10:00 PM Yes Totality ends (U3) 4 Apr at 12:03 PM 4 Apr at 10:03 PM Yes Partial Eclipse ends (U4) 4 Apr at 1:44 PM 4 Apr at 11:44 PM Yes Penumbral Eclipse ends (P4) 4 Apr at 2:58 PM 5 Apr at 12:58 AM Yes Note that totality is only 5 minutes. PROJECT 1 - HOW DARK IS THIS ECLIPSE? BACKGROUND INFORMATION The darkness of the eclipsed Moon depends on several factors. The first is how deep into umbral part of the shadow (dark grey in the diagram below) the Moon passes. For example; if the Moon passes through the centre of the Earth’s umbral shadow, the eclipsed Moon will be “dark”, and will remain totally eclipsed for a longer period of time (up to 1 ½ hours). If the Moon passes through the outer edge of the umbral shadow (see diagram beside), as is the case for this lunar eclipse (ratio of only 1.01), then the eclipse is said to be “bright” and the Moon is totally eclipsed for a much shorter period of time (5 mins). Other factors that affect the darkness of the Moon include the transparency of the Earth’s atmosphere. That in turn depends on the amount of cloud and the amount of dust in the region of the atmosphere where the Sun’s light just skims past the Earth. It has been noted in the past that dark eclipses occur after periods of volcanic activity where the air is laden with volcanic ash. For this eclipse, the Moon passes through the outer edge of the umbral shadow (darkest region), meaning that it is a “bright” eclipse and is “totally eclipsed” for only a short period of time (approx. 5 mins). There is a standard scale of the darkness of eclipses called the Danjon Scale tabulated below: http://www.mreclipse.com/Special/danjon.html Danjon Scale of Lunar Eclipse Brightness Danjon Value 𝑳=𝟎 𝑳=𝟏 𝑳=𝟐 𝑳=𝟑 𝑳=𝟒 Description Very dark eclipse. Moon almost invisible, especially at mid-totality. Dark Eclipse, grey or brownish in coloration. Details distinguishable only with difficulty. Deep red or rust-coloured eclipse. Very dark central shadow, while outer edge of umbra is relatively bright. Brick-red eclipse. Umbral shadow usually has a bright or yellow rim. Very bright copper-red or orange eclipse. Umbral shadow has a bluish, very bright rim. ACTIVITY 1. Estimate the Danjon Number during the period of totality (i.e. 𝐿 = 0 to 𝐿 = 4). 2. Estimate a 𝐿 number to 1/10th of 𝐿, e.g. get an answer like 𝐿 = 3.2. Note the time and get as many independent estimates as you can – get friends and family to join in but don’t tell them of your estimate so their estimate is ‘independent’. 3. Find the averages and trends as a later exercise. 4. Share your findings with others (see email addresses at end of document) PROJECT 2 – PHOTOGRAPHY OF THE ECLIPSED MOON. There are many ways to photograph an eclipse of the Moon. Look at the following links: http://www.landscapeastrophotography.com/tips-for-photographing-the-blood-red-moonduring-a-total-lunar-eclipse/ http://www.nikonusa.com/en/Learn-And-Explore/Article/h1sctsrv/How-to-Photograph-aLunar-Eclipse.html ACTIVITY Using a tripod and a DSLR Camera (preferably fitted with a 300 mm lens), take several digital images during the partial and totality phases of the lunar eclipse. These images can be posted on the Student Journal Discussion Board and compared with other student’s results. For the best images, make sure the image is not saturated, i.e. over exposed or burned out. Some cameras have a display of the distribution of brightness of the image, such as in the diagram beside. The little peak at the ‘light’ end of this histogram tells us that some part of the image is saturated. To avoid saturation, you may need to reduce the exposure time (the time that the camera’s aperture is open). We need the light producing the image spread relatively evenly across all the histogram, not like the example in the diagram. PROJECT 3 – ESTIMATING THE DIAMETER OF THE MOON. Using the moon as a “screen”, we can see the shadow that the Earth cast onto it. Below are some links to experiments to determine the size of the moon from the size of the Earth’s shadow. http://resources.yesican-science.ca/eratosthenes/moon.html http://www.umich.edu/~lowbrows/astrophotos/alway/lunareclipse.html ACTIVITY a. Whilst looking at the Moon during the partial (penumbral) part of the eclipse, estimate the size of the Earth’s shadow relative to the size of the Moon. Use the web experiments to determine the size of the Moon given that the diameter of the Earth and the Sun is 12 756.2 𝑘𝑚 and 1 391 684 𝑘𝑚 respectively, and the distance to the Sun and the Moon is approximately 149 600 000 𝑘𝑚 and 384 400 𝑘𝑚 respectively. b. Using photographs of the partially eclipsed Moon, do the same experiment, but this time by drawing the size of the Earth’s umbra on a photograph and then estimating the relative size of the umbra and the Moon. Use the above dimensions for the Solar System to get the size of the Moon. c. Share your findings with others (see email addresses at end of document). PROJECT 4 – ESTIMATING THE DISTANCE TO THE MOON. We can determine the distance to the Moon by using a parallax method. Parallax is when a distant object appears to be in a different place (i.e. to have moved) when viewed from two different places separated by a significant distance. Here is an example:- From place A, the tree C appears to be near to the other tree, and from place B it appears to be in front of the house. For example, if we get a photograph of the totally eclipsed Moon from a town in mid NSW and another from Far-North Queensland (i.e. two locations separated by a significant distance), we will see that the Moon is in a different star field (i.e. the background stars appear in different positions). If we are able to measure the angular difference of the location of the Moon against the background stars in the two photographs taken at the same time from the two locations, and if know the distance between the locations where photographers were taken, we can determine the distance to the Moon using some simple mathematics (simple astrometry). ACTIVITY: Take photos of the totally eclipsed Moon with a field of view large enough to capture the background stars in the sky near the Moon (a 300 mm lens is good enough for this activity). You will be able to compare your images with others taken from a different location. To find the separation distance between two locations you can use Google Earth. Things to note: The photos should be taken at maximum zoom and for an exposure time that shows both the Moon (not over exposed – saturated – burned out – see above) and some stars in the image. The photos need to be taken as close to mid-totality as possible. For this eclipse this will be at 11:00 pm in NSW and 10:00 pm in Queensland (± 2 mins). Be sure that the camera lens is adjusted to its best focus. Check the exposure of the photos as the Moon approaches and starts totality. The exposure time may need to be increased as the Moon dulls. An analysis can be performed after the eclipse once photos are received from the other participating locations. Send an email to the addresses at the end of this document to receive advice on how to do this. PROJECT 5 – PLOTTING A LIGHT CURVE OF THE ECLIPSE As the eclipse progresses, the brightness of the Moon will change. This will be noticed as the Moon gets darker and then lighter again as the eclipse progresses. This change can be represented in a “light curve” graph. A light curve graph is the plot of the Moon’s brightness verses time. On the next page is a light curve plotted using data from a previous eclipse. ACTIVITY The aim of this activity is to measure the brightness of the photographic images of the Moon. Again, it is important that the images of the Moon are not saturated and should be taken at maximum zoom. To obtain the data in order to plot a light curve similar to that above, these non-saturated images need to be taken at approx. 10 min intervals across the entire time of the eclipse – i.e. the full 6 hours of it!!! Each image will need the time it was taken and the exposure time recorded. Most DSLR cameras automatically record this information on the ‘header of the image’. To make sure that the time is correct, take a photo of an accurate clock at some time during the night – the computer screen will do if the computer clock has been checked. Alternatively, keep a record on a piece of paper. Instructions on how to analyse this data to compile a light curve can be made available in a separate document after the eclipse event by emailing the addresses below. NOTE High school students studying Senior Astronomy through TSAA and members of an Astro Club in Wagga Wagga NSW are keen to exchange images and information. If you would like to participate, send your images/information by email to: [email protected] and [email protected].
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