| Barn Door Mount |
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The Basics
The way the barn door mount works is simple. You are building a very simple equatorial mount. The equatorial mount is one that rotates the camera at the exact angle that the sky moves. This allows you to take long exposures without blurred or trailed stars. The mount consists of two simple wooden boards or other material held together by a door hinge. The axis of the hinge is pointed at the north celestial pole for northern viewers and the south celestial pole for those living below the equator. A simple finderscope can be attached to the platform to make finding the celestial pole easy. For northern viewers just pointing the hinge at the star Polaris will do Many people mount the whole mount onto a standard camera tripod to make setting up easier. Once aligned, the second board will swing open like door, tracing an arc across the sky. Any camera on that board will thus track the same arc the sky does. Now the only thing is to "open the door" or track at the same rate the sky does. |
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Here's the good news... When a standard 1/4 x 20 screw (1/4 inch diameter with 20 threads per inch) is placed exactly 11.42 inches from the hinge (pivot point) and then turned at one revolution per minute it will track the sky perfectly! Why? Because when you place the screw in that exact spot and then turn it at the rate of 1 RPM the triangle's (2 boards) hypotenuse will move at the rate of 360° in 24 hours. A clocks rate! Now all you have to do is turn that screw once per minute, or add a simple clock motor that does the same. If you want to track by hand, you can construct a small disk with a clock face attached under the screw and then follow your watch. Note that 1/4 turn every 15 seconds is the same rate, and you do not have to turn it continuously, you can simply make a 1/4 turn once every 15 seconds and you'll track well! The cost to build one of these mounts is about $30 or less unless you motorize it and add a commrcial polar finder scope. Below is a tutorial on building your own. |
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THE HINGED ASTROPHOTOGRAPHIC TRACKER In order to capture stunning views of the cosmos without trailing or blurry images you must track the sky to prevent the skys apparent motion from ruining your images. The skies apparent motion doesnt move in a simple left to right motion. It rotates overhead in a large arc once per day. The stars move around a fixed point, and your camera must move in that exact same motion in order to prevent the stars from streaking. So lets look at that motion in detail.
Second, the sky moves in a near perfect arc around one single axis. Third, the arc is precisely centered on a fixed point in the sky, called the CELESTIAL POLE. For those who live above the equator, this point is very close to the North Star (Polaris) which makes it easy to locate. For those who live below the equator it is much more difficult to locate, as there are no bright stars right over the Southern celestial pole, but a good star chart can help you find this point. A camera platform capable of long exposures of the night sky must track the camera at the sidereal rate, in a perfect arc, and aligned to the celestial pole. Thats it. Sounds hard, but it isnt!
The basic design of this mount was first designed by George Haig of Glasgow, Scotland in the April 1975 issue of Sky & Telescope. He called it the Scotch Mount, and it was capable of tracking the sky for up to 30 minutes with a 50mm lens without noticeable error. Over the years, the mount has become known as the Barn Door Tracker, since the hing swngs the two boards open like a barn door. The version detailed here is more accurate then the Scotch Mount but very easy and inexpensive to build. Lets break down the details: TRACKING RATE In order to move your camera at the correct rate to track the sky, we have to move our camera at the Sidereal Rate. Remember that the sidereal rate is one revolution per 24 hours. This rate can be easy to accomplish! We can use a small gear to push our mount at the correct rate. Ideally, we would want a gear that moves only once per day, but to try and turn a gear accurately one revolution per 24 hours by hand is impossible. It is just too tiny of a movement. So well use a gear that spins much faster, and find a way to accurately maintain a constant rate. If I asked you to spin a gear exactly 1440 times in one day, you may wonder how you could do that accurately. But if you rotate the gear one turn every minute, that still translates to a rate of 60 revolutions per hour, or 1440 turns per day! Add a simple stop watch and a small mark on the object and anyone can move it accurately one revolution per minute. Its even easier to turn it one quarter-turn every 15 seconds, which is still one revolution per minute. So we only need to design something that allows us to maintain the average sidereal rate of 1 complete revolution every minute.
This is like a simple bolt, except much longer. In fact, you can buy these in lengths of a meter (3 feet) or more. Also, threaded rod comes in many diameters and different thread pitch. Choose the best quality rod you can, as the accuracy of your tracking will be influenced by any manufacturing defects in the rod. When completed, you will want your mount to move at the sidereal rate, based on the movement of this rod. Be sure you know the exact thread count (pitch) of your rod, so you can make any calculations needed. So how do you get movement from just a rod? If you place a nut on the stationary rod and turn a nut at a constant rate, the nut moves up or down the rod at a constant rate. It is also true that if you turn the nut while keeping the nut stationary, the rod will move up or down. This is how we will make our mount move!
Many of the very faintest objects in the sky, can be captured on film in only 30 minutes of exposure. The brighter objects need even less, and if you use a digital camera you need only a few minutes! But let's assume you want a long ? hour exposure - which is probably more than you will need for a fast lens. Remember that Sidereal time is 15° per 1 HOUR so you may only need half of that, or 7.5° for 30 minutes. That's quite a short distance! A very nice arc can be accomplished with a simple hinge. A hinge opens up in a sweeping arc, creating a perfect circle. Imagine the hinge is at the center of an imaginary clock, and so the attached board rotates around the center, which now becomes a giant hour hand on a 24-hour clock! Since we only want 30 minutes of exposure, that's just 7.5°. This is a very small portion of that 24-hour clock. If you use two pieces of wood only 11 long and you open it to the required 7.5°, then the distance they will travel is only about 1.5 inches. That's how short of a distance we are talking about! TRACKING ALIGNMENT In order for your camera to rotate correctly, you must make sure your hinge is pointed exactly at the Celestial pole. This is a critical step that must be done with a very high degree of accuracy. As the board swivels around the hinge, it will now follow the perfect arc of the sky. Once aligned, all you have to do is move the mount in the same direction that the sky moves. In the Northern hemisphere that is counter clockwise around the celestial pole. In the Southern hemisphere it moves clockwise.
The drawing here shows how a line from Ursa Major ("Big Dipper") and Cassiopeia goes right through Polaris. Depending on your location, and the date and time, you may not see both Ursa Major and Cassiopeia at the same time, but you should be able to find Polaris using just one of those constellations and the chart here. Once you locate Polaris, note where in the sky it is, as it will not move from that spot as long as you do not travel too far away. Once you locate Polaris, you will be very close to the Celestial Pole. The actual contruction of the HAT is very simple.
CONSTRUCTION DETAILS The movement of our mount can be accomplished with a simple threaded rod. But there are a lot of things to consider when using a rod to push our hinged boards apart. The main issue is accuracy, because a straight, fixed rod, turning at a constant rate will not allow two hinged boards to swing open at a constant rate! Here's why: TANGENT ERROR As the rod pushes the top board apart, the contact point where the rod hits the platform will not stay at the same place. As the separation angle of the two boards increase, the rod's contact point will slide up the platform, increasing the distance from the hinge.
This new point of contact means that the platform will open more slowly as the contact point slides further up the board. Once the top board is 90° straight up, the rod will no longer make contact and the platform will fail to move at all! This is called Tangent Error. To correct this tangent error one of three things can be done: A. Curve the rod so it matches the radius of the contact point relative to the hinge. Since the rod is curved, it will always stay in contact with the same spot.
B. Allow the rod to tilt so that it remains in contact with the same spot on the top platform.
C: Adjust the speed at which the rod moves. If you increase the speed of the rod as the platform swings open, or decrease the speed as the platform swings closed, it will allow the mount to move at a constant rate.
You can also correct Tangent Error by building a rod drive mount that uses two or three moving arms (boards). These are called a double arm or triple arm trackers. This artcle only describes a simple single arm drive, and so the simplest way to solve this error is with a curved rod as illustrated in diagram A above.
All these questions can be solved very easily if we consider that a curved threaded rod becomes a simple gear in our clock motor, and the threads can be considered teeth in our gear! THE CLOCK GEAR DRIVE We will need to know:
Since we already know the thread count of our rod (teeth in our gear) we can make a calculation to solve the above questions! Consider: The Earth rotates once per 24 hours. Actually we need to be a little more accurate than that, since it rotates once per 23 hours 56 minutes. This equals a total of 1436 minutes. If we want to keep things simple, we want our gear to move at the rate of one tooth (thread) per minute, thus our gear will have 1436 teeth. But how big of a gear will it be? This depends on how fine our threads (or gear teeth) are on the threaded rod. Let's use a rod that has 20 threads per inch. This means that for every inch of rod, there are 20 threads so that a nut will turn 20 times to cover that 1 inch. You can also say that our gear has twenty teeth per inch. Gear Size So.. if a gear has a total of 1436 teeth and there are 20 teeth per inch, then the gear must be 71.8 inches around (circumference). (1436 / 20" = 71.8") This means that the gear's diameter is 22.855 inches. That's a very big gear.. and very accurate too! Diameter = circumference / pi (71.8 / 3.14 = 22.855)
So we now must bend our rod to match a curve with a 22.855 inch diameter. Since a steel rod has spring to it, you should use something with a diameter a lot smaller than 22 inches. You can use a tree or another round object with a large enough diameter that you can smoothly bend the rod around. To make sure you get exactly the correct diameter, trace out an arc on a piece of large paper with a 22.855 diameter. You do not need to complete a full circle; just a half circle will do nicely. Be very careful, and try to get as close to the correct arc as you can. Keep checking with the paper arc frequently. Any error here may show up on your photographs as a tracking error. BE SURE NOT TO BEND ANY THREADS! Now select the most accurate portion of the rod, and cut a 9 length to use on your mount.
The last question now is how far from the hinge do you place this curved rod, so it will open the platform at the correct speed? It is accurate to imagine this rod is part of a large clock gear, with the axis at the hinge. Since we know the size of the gear (22.855 diameter) and you want to have the gear rotate about the hinge, our curved rod must be located exactly at the radius, or 11.43 from the hinge (22.855/2). Be sure you measure precisely from the hinge pivot pin. The above photo shows the curved rod in place on our Barn Door Mount. It is bolted to the top, and runs throw a hole in the bottom. Both holes are exactly located at the radius or exactly 11.43" from the hinge. The next step is to create an easy way to slide this curved rod up at the exact rate as the sky appears to move (the Sidereal rate of 15 degrees per hour). Since we made this gear with 1436 teeth to match the 1436 minutes in a day, the rod needs to push the platform up at the exact rate of 1 thread (tooth) per minute. A nut placed on your threaded rod and turned it at the rate of one revolution per minute, will move the rod at the rate of 1 tooth (thread) per minute, exactly matching the sky!
Clock Gear Frequency You need to turn the disk one full revolution per minute, but how frequently must you turn the disk? Can you simply rotate it quickly once, and then wait a full minute before doing it again? Or do you need to make tiny movements every second? Well that depends on the focal length of your camera lens. If you are using a very short focal length lens you may simply turn the disk ? a turn every 30 seconds. But if you want to use a very long lens, like a 300mm telephoto lens, you must turn the disk every 5 seconds or you will capture some trailing between movements. Here's why Consider a camera with no tracking movement at all. The higher the focal length of the camera lens, the faster it will detect any star movement from the Earth's rotation. Remember, this is how you are able to get the Star Trail photos. The formula 1000 / FL * (cos D) = EXP will give you the maximum length of time you can expose your film before star trails will become visible. FL = Focal Length of your camera lens, D = the declination of the area of sky you are pointing at (degrees), and EXP = the exposure time (seconds). The declination is how far from the celestial equator you are pointing at, where zero is at the equator and 90 is at the pole. The closer you point to the pole, the less star trailing you will record. To the right is a table showing how quickly your camera will show star movement based on varying lens focal lengths and declination. It shows the frequency to turn the drive to prevent star trails (minutes and seconds).
Note: Be sure to use the correct frequency based on the fastest moving portion of your field of view, not just where you are pointing at. That is, you may be pointing at the pole which moves slowly, but using a wide angle lens that captures stars all the way down to 60 degrees. In this case, use the time calculated for 60 degrees. Now that we have a platform that will move at the correct arc as the sky, and a drive system that will move the mount at the exact rate as the sky's apparent movement, once it is accurately aligned to the Celetial Pole (as detailed below - see Polar Alignment) To attach the camera, you can find lots of ways that will work. Just be sure you have the camera secured well, and that it can be rotated to any view of the sky. You can't move the mount once it's aligned! In my example here, I attached the top of a cheap mini-tripod head that I had laying around. I simply cut the legs off, and then epoxies them to the wooden platform.
So now you have an accurate platform to track the sky at the exact rate, angle and arc! Drill a hole in the base, to mount on a stable camera tripod, or construct a home-made platform that will allow you to move the mount to the correct position. Standard camera tripods use a 1/4" 20 thread nut as an attachment bolt. You can simply drill a hole in your mount's base large enough to hold the nut flush with the bottom of the mount. Then glue it in place with epoxy. Be certain that the nut is very secure - you do not want to have it fall out and drop your camera! POLAR ALIGNMENT The #1 cause of tracking error with this mount is poor alignment to the Celestial Pole. In order for your mount to compensate for the Earth's rotation, you need to make sure your tracker is precisely aligned with the celestial pole.
Once you locate Polaris, point the hinge axis directly at it. This will put you very close to the Celestial Pole, but not close enough for our use. Now you must make one final adjustment to get the accuracy needed for long exposure astrophotography.
The north Celestial Pole lies 3/4 of a degree away from Polaris in the direction of the bright star Kochab, or Beta Ursa Minor is. You simply point the mount at Polaris, and then shift it slightly (3/4 of a degree) towards Kochab. Now you will be VERY closely aligned with the Celestial Pole, and your mount will track very accurately! You can add a very small telescope (finder scope or gun scope) to help you locate the exact celestial pole to increase accuracy. The closer you get to perfect alignment with the pole, the longer you can expose before the trailing or blurring will occur. In this photo I have attached a simple 6X finderscope from a commercial telescope to the top board. This allows you to get very accurate Polar Alignment vs. what you can get only using your eyes. You should first look at the moon in order to learn what 3/4 of a degree looks like. Remember, the moon is 1/2 degree across, so once you see what 1/2 a degree looks like, you can easily see what an additional 1/4 of a degree would be.
To keep cost down, many astrophotographers use a simple straw or small pipe to sight through. I have seen one tracker sight through the hinge itself, by simply removing the hinge pin during alignment! |