# Open Traverse Method for the map survey

I need to use traverse method in my program on visual studio(WPF) so that the user can get their target point coordinate by using their initial data. In my knowledge there is two type of traverse that is open traverse and closed traverse. I search on the internet there mostly about the closed traverse. Although the open traverse cant be check for error i still need to use it for my project requirement. Can someone share me a simple open traverse calculation that i can use for my reference and program?

• What do you found about closed traverse? Feb 12, 2019 at 2:25
• @GabrielDeLuca i found this closed traverse calculation on internet. For open traverse there is mostly explanation with no calculation and example. Feb 12, 2019 at 2:29
• Yes, that only talks about the closed polygonal adjustment. You don't need the Z coordinate? Feb 12, 2019 at 2:33
• @GabrielDeLuca yes, i dont need the z coordinate. I just need x and y coordinate for my map coordinate. Feb 12, 2019 at 2:49

Please, do not use with geographic coordinates.

• x axis is North oriented, so x = Northing
• y axis is East oriented, so y = Easting
• azimuth is the clockwise angle measured from x axis, in radians.

(all three are topographical conventions, you must transform the following formulas if you want to use another system)

• x_0 and y_0 are the coordinates of a fixed point.
• x_1 and y_1 are the coordinates of the first station.

(The following formulas are provided for an initial system of two points with known coordinates, in case of knowing only the coordinates of 1 (the first station), you need to know its initial azimuth, so the formulas for its calculation are not necessary)

`DELTA( x ) = x_1 - x_0`
`DELTA( y ) = y_1 - y_0`

The azimuth from 0 (the fixed point) to 1 (the station) is:
`AZ( 0 -> 1 ) = 0` when: `DELTA( x ) >= 0 AND DELTA( y ) = 0`
`AZ( 0 -> 1 ) = PI()` when: `DELTA( x ) < 0 AND DELTA( y ) = 0`
`AZ( 0 -> 1 ) = PI() / 2` when: `DELTA( x ) = 0 AND DELTA( y ) > 0`
`AZ( 0 -> 1 ) = -PI() / 2` when: `DELTA( x ) = 0 AND DELTA( y ) < 0`
`AZ( 0 -> 1 ) = ATAN( DELTA( y ) / DELTA( x ) )` when: `( DELTA( x ) > 0 )`
`AZ( 0 -> 1 ) = ATAN( DELTA( y ) / DELTA( x ) ) + PI()` when: `( DELTA( x ) < 0 )`

The azimuth from 1 (the station) to 0 (the fixed point) is:
`AZ( 1 -> 0 ) = AZ( 0 -> 1 ) + PI()`

The distance between 1 (the station) and 0 (the fixed point) is:
`DIST( 1 -> 0 ) = DIST( 0 -> 1 ) = SQRT( DELTA( x )^2 + DELTA( y )^2 )`

Then, the station set its zero bearing to point 0 and measures a new point (2) with:
a distance between 1 and 2 = `DIST( 1 -> 2)`
and a bearing, the clockwise angle, measured in 1, from 0 to 2 = `BEARING1( 0 -> 2)`

Now, the azimuth from 1 to 2 is:
`AZ( 1 -> 2 ) = BEARING1( 0 -> 2 ) + AZ( 1 -> 0)`

And coordinates of 2 are:
`x_2 = x_1 + DIST( 1 -> 2 ) * COS( AZ( 1 -> 2 ) )`
`y_2 = y_1 + DIST( 1 -> 2 ) * SIN( AZ( 1 -> 2 ) )`

• If there is a way for me to calculate the traverse open using initial geographic coordinate along with the bearing and distance value to the desire point. Feb 12, 2019 at 6:31
• @MohamadFathin, maybe you are looking for a solution for the direct geodesic problem, but for any reason you are asking wrong for the traverse method. Here are two links that I should recommend you read: ngs.noaa.gov/PUBS_LIB/inverse.pdf and en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid Feb 12, 2019 at 22:46
• my map are WGS84 coordinate system. If it possible if I convert it to the Kertau RSO coordinate system that in meter so that i can perform the traverse method. After that i convert it back to WGS84. Feb 13, 2019 at 3:10
• @MohamadFathin, sure, that is totally valid. Computer science is not my specialty, but I think you have `Proj4Net` libraries to perform the projection. Feb 13, 2019 at 3:37