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Can anyone tell me what the formula is to find the bearing between two known coordinates. Most land surveying related topics are evergreen - meaning the topics of discussion are many times timeless. If you have a question regarding Land Surveying in general, this is the place to ask your questions. Add Discussion.
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We look forward to helping you solve your problem or expand your knowledge of land surveying. Sign Up Sign In. Like 0. Tags: bearingscoordinatesformulacalculations. Email me when people reply — Follow. Scott D. Warner, PLS November 17, at pm. Does this help? Hakeeb A.
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KathrynJames Created on July 11, Just wondering if anyone can help me. I've got two sets of co-ordinates and need to find the bearing between them. I've converted the values to degrees but then don't understand how to use the modulo function.
Thanks Kathryn. This thread is locked. You can follow the question or vote as helpful, but you cannot reply to this thread. I have the same question North1,East1 are your reference coordinates, North2, east2 the target. Thanks for marking this as the answer. How satisfied are you with this reply? Thanks for your feedback, it helps us improve the site. How satisfied are you with this response? This site in other languages x.In testing code for Deathpod, I found it very valuable to have a quick and easy way to calculate correct distance and bearing to a latitude longitude waypoint to compare to results I was getting from my Atmega32 C code.
In this article, I will explain a little about the formulas, show them working in Excel and at the end of the article you can download a spreadsheet and play with them yourself.
Calculating the bearing between two Latitude/Longitude points
For modern microprocessors with 8 byte IEEE floating point numbers, the spherical law of cosines can be used to compute distance between 2 latitude longitude points. The law of cosines can be expressed in Excel as:. So, for example, if you want the returned distance in miles, you would use the value 3, the mean radius of the earth in miles. You can also use 6, for kilometers or 20, for feet. For Deathpod, since we are only dealing with small distances and need smallish scale, I used feet.
To play with in Excel, miles is nice because you can run some simple and easy sanity checks. All of the latitude and longitude values in the formula must be in radians.
Substitute any cell for Radians to convert to degrees. I also created rows for each of the latitude and longitude values and a cell for the value r so I could easily change from miles to feet and back. The result looks like this:. As I said before, 1 degree of latitude is 60 nautical miles or roughly 69 statute miles. You can see the formula just above the sheet.
The precision of 4 byte floats causes too much error. There is a slightly more complex formula that does work well at small distances called the haversine formula. It takes a bit more work, but we should get the same distance we got for the spherical law of cosines.
Here is the haversine formula:. The distance reported by the spherical law of cosines formula and the haversine formula are the same. The formula for determining bearing to a waypoint is:. The reason for this is we want our heading to be between degrees or between 0 and 2 pi radians. What this does is divide the result by 2 pi degrees and give us back the remainder. If the result of the atan2 function is less than 2 pi it simply returns the number. If it is greater, it divides and gives the remainder, which will always then be between 0 and 2 pi degrees.
Here is a simple example using degrees. Dividing by degrees gives a value of 1 with a remainder of The mod function discards the 1 and return So, the mod fuction wrapped around the atan2 function makes sure that the bearing is always between degrees. Now, all the trig functions in Excel use radians and atan2 is no exception so the formula above gives us the bearing in radians.
Latitudes start at the equator and grow larger the farther north or south from the equator you go. In this case, the latitude is near Denver, Colorado in the northern hemisphere, so larger values mean farther north and smaller values mean farther south. Point 2, the waypoint, is 1 degree of latitude less than point 1, current position. This means that the waypoint should be due south of current location at a distance of 69 miles.
The bearing in radians was pi, which when converted to degrees is degrees. We can try some other simple tests to make sure it works in other cases as well. Due east would have latitude the same, but smaller longitude.Forums New posts Search forums.
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Excel Facts. Click here to reveal answer. When they said you are going to "Excel at life", they meant you "will be doing Excel your whole life".
Calculate distance and bearing, given latitude and longitude of points
AhoyNC Well-known Member. The attached links should give you the formulas you need. Remember to change degrees to radians in the Excel formulas. Hello, thank you very much for the links! The third one has a link for downloading an excel file with the formulas so that was very helpful. It is covered in the first link which I had already found myself actually but I was having trouble converting the explanation on that link to an excel formulas.Fatigue L10 Life.
Some of the formulas include approximations. Bearing life is defined as the length of time number of revolutions until a specific failure occurs. Life can be affected by a number of factors including loads, speed, lubrication, fit, maintenance, temperature, contamination, and others. Because of the diverse variety of contributing factors, it is extremely difficult to predict life precisely.
Because handling and contamination damage can dramatically reduce bearing life, bearings should be properly stored, mounted, dismounted, and inspected. Optimized performance and life is also contingent on appropriate lubrication and sufficient protection form foreign matter. Bearings should be stored in a cool, clean, low humidity environment free of dust, shocks and vibrations.
Proper fitting, using specialized tools and techniques, will also help maximize bearing life. Contact sales pacamor. Bearing Life Estimation Formulas.
The Average Life of this same group of bearings will be approximately 5 times the L10 Life.Calculating the bearing between two points on a map is an essential navigation skill for piloting and land orienteering. In the age of sail, ship's officers who stood a watch were expected to calculate these sorts of equations with look-up tables, rules of thumb and significant amounts of repetition. The modern era has made calculating bearings between two coordinates convenient with Excel.
Click on cell B1, then enter "LatA" in the drop-down to the left of the formula bar. Click on cell D1 and enter "LonA" in the drop-down as well. Click on cell B2, then enter "LatB" in the drop-down to the left of the formula bar.
Click on cell D2 and enter "LonB" in the drop-down. You have named four variables, which will be used in an Excel formula. This formula will return the bearing you need to take to go from the coordinates on the first row to the coordinates on the second row. It will present the bearing as an angle that runs from degrees true north to degrees. The last term of the formula, "6. By : Ken Burnside. Share Share on Facebook. Calculating the angle between two points on the globe is taking a bearing.
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