Great Circle Calculation

Latitude And Longitude. Latitude, Longitude, And Great Circles. This page describes how to work with Latitude and Longitude in Excel and. Great Circle Distances. You can use Excels trigonometric and time functions to work with Latitude and Longitude. There are two different ways express geographical coordinates. The first is to use. This is the same format as. Excel time value. The other method is to use decimal degrees, representing values as the number of degrees as. For example, the location 2. If you are restricting yourself to one hemisphere for latitude and one hemisphere for longitude, you can. If you are working with. This is fine for decimal degree values, but Excel cant display negative time values. Purple2/v4/b5/5e/a7/b55ea7b8-37e9-5156-d466-7e8b778264b0/screen1136x1136.jpeg' alt='Great Circle Calculations' title='Great Circle Calculations' />How do the area and circumference of a circle compare to its radius and diameter This activity allows you to investigate these relationships in the Intro and. Nero 12 Full Version With Key For Windows 8 here. Jain is an international lecturer on Vedic Mathematics and Sacred Geometry. He is currently teaching the next step to the da Vinci Code known as the. The greatcircle distance or orthodromic distance is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere as. Geometry. Geometry is all about shapes and their properties. If you like playing with objects, or like drawing, then geometry is for you Geometry can be divided into. LatitudeLongitude Distance Calculation This query will determine the distance between two points on the earth given their latitudes and longitudes. Therefore. if you are working in two hemispheres, you need to use the decimal degrees format or set the date system to the. To change the date format, go to the Tools menu, choose Options and then the. Calculation tab. There, check the 1. When using positive and negative values. However, you must be consistent in all your calculations. If North is positive in one set of coordinates. If you are using the time format for latitude and longitude values, you will need to change the number format for those cells. By default, when you enter a time in a cell, Excel will use the Short Time format as specified in the Windows Regional. Settings. Excel will roll over times at 2. For example, the time value. To correct this, you can use a number. Gxc_QR6k_400x400.png' alt='Great Circle Calculation Formula' title='Great Circle Calculation Formula' />Great Circle Calculations FormulaThe square brackets instruct Excel not to. Also, you can instead use a custom number format to display time format latitude and longitude. Select the cells that you want to format, go. Format menu, choose Cells and then the Number tab. There, choose Custom in the. Category list and enter hh mm ss in the Type text box. To enter the degree. ALT key and press 0. This number format will display the time. Note. though, that even though the cell is formated to display degrees, minutes, and seconds, you must enter the number as a time using. Since time formatted coordinates are just numbers representing the fraction of a 2. For example, if. cell A1 has the value 2. A12. 4 to get the decimal degrees result, in this case 2. Similarly, you can convert. For example, B12. Be sure to format the. If you have coordinate values in time format, you can use the following formulas to extract the degree, minute, and second values. In all. these examples, the time format value is assumed to be in cell A1. INTA1 returns degreesMINUTEA1 returns minutesSECONDA1 returns seconds. For decimal degrees values, use the formulas INTA1 returns degreesMINUTEA1 INTA12. SECONDA1 INTA12. In addition to the formulas above, you can use an array formula to split out the degree, minute, and second. To split out the component from a time format value, select the three cells that will get the component values and enter the following. INTA1. 40,1,0INUTEA10,0,1ECONDA1and press CTRL SHIFT ENTER. For more information about array formulas, see the. In the formula above, note the differences. To break out the degrees, minutes, and seconds values from a decimal degrees value, use the following array formula. Select. the cells that will get the component values, type the formula, and press CTRL SHIFT ENTER. NTA10,1,0INUTEA12. SECONDA12. 4As before, note the difference between the parentheses and the curly braces. In Mathematics and Cartography, a Great Circle Distance is the shortest path between two points on the. Earth is a perfect sphere, even though it really isnt. This is the. as the crow files distance between the two points. All lines of Longitude are Great Circles, while the Equator. Latitudinal Great Circle. To calculate the Great Circle Distance between points, we first calculate the spherical central angle between the. Radians by the radius of the Earth. Dont worry if you dont know what spherical. The equation used in the formulas is Note that Excels trigonometric functions work only with Radians, not Degrees, so the coordinate values must be converted from. Degrees to Radians. The RADIANS function is used to convert Degrees to Radians. To calculate the Great Circle Distance between Location. Location. 2, use the formula Radius. Earth2SINSQRTSINRADIANSD4. RADIANSD5. 0. 422COSRADIANSD4. COSRADIANSD5. 0. SINRADIANSE4. RADIANSE5. 0. 422In this example, the Radius. Earth is a named cell with the value 6. Multiply either value by 1. Cells D4. 9 and E4. Location 1 and cells D5. E5. 0 are the latitude and. Location 2. These coordinates are in Time format. The result is the distance in either miles or kilometers, depending. Radius. Earth. For readability, the formula is broken into several lines. In. Excel, of course, the formula is in a single line in a single cell. The same formula, using defined names for coordinates is shown below. Lat. 1 and. Long. Lat. 2 and Long. Radius. Earth2SINSQRTSINRADIANSLat. RADIANSLat. 2. COSRADIANSLat. COSRADIANSLat. 2. SINRADIANSLong. RADIANSLong. To calculate the Great Circle Distance between Location 1 and Location 2, where the coordinates are in decimal degree format, use. Radius. Earth2SINSQRTSINRADIANSD7. RADIANSD7. 222COSRADIANSD7. COSRADIANSD7. 2SINRADIANSE7. RADIANSE7. 222Here, cells D7. E7. 1 contain the latitude and longitude. Location 1 and cells D7. E7. 2 contain the latitude and. Location 2. For readability, the formula is split over several lines. In Excel, of course, the formula is in. The same formula, using defined names for the coordinates is shown below. Lat. 1 and. Long. Lat. 2 and. Long. Radius. Earth2SINSQRTSINRADIANSLat. RADIANSLat. 222 COSRADIANSLat. COSRADIANSLat. 2SINRADIANSLong. RADIANSLong. 222. The following VBA code will calculate a Great Circle Distance in either Kilometers or Miles as specified in the. Result. As. Miles parameter True indicates Miles, False indicates Kilometers. The inputs may. be either decimal degrees or time format values. Set the Values. As. Decimal. Degrees. True for decimal degrees, False for Time degrees. Private Const CRADIUSEARTHKM As Double 6. Private Const CRADIUSEARTHMI As Double 3. Private Const CPI As Double 3. Function Great. Circle. DistanceLatitude. As Double, Longitude. As Double,. Latitude. As Double, Longitude. As Double,. Values. As. Decimal. Degrees As Boolean,. Result. As. Miles As Boolean As Double. Dim Lat. 1 As Double. Dim Lat. 2 As Double. Dim Long. 1 As Double. Dim Long. 2 As Double. Dim Delta As Double. If Values. As. Decimal. Degrees True Then. Lat. 1 Latitude. X. Long. 1 Longitude. X. Lat. 2 Latitude. X. Long. 2 Longitude. X. Lat. 1 Lat. CPI. Lat. 2 Lat. CPI. Long. Long. CPI. Long. 2 Long. CPI. Delta 2 Arc. SinSqrSinLat. Lat. CosLat. 1 CosLat. SinLong. 1 Long. If Result. As. Miles True Then. Great. Circle. Distance Delta CRADIUSEARTHMI. Great. Circle. Distance Delta CRADIUSEARTHKM. Function Arc. SinX As Double As Double. Arc. Sin AtnX Sqr X X 1. You can calculate the initial and terminal bearing of a great circle with formulas. The initial bearing is the bearing at which one would leave the starting point to. Great Circle route to the end point. The initial bearing is given by the formula DEGREESIMARGUMENTCOMPLEXNorth. North. 2,East. 1 East.