Bowditch traverse adjustment calculator

Calculate adjusted leg east/north components and corrections and cumulative adjusted relative coordinates with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use adjusted leg east/north components and corrections and cumulative adjusted relative coordinates to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Legs JSON [[bearing degrees, distance m],...]
[[0,100],[90,100],[180,100],[270,99.8]]
Known east displacement start→end (m)
0
Known north displacement start→end (m)
0
Adjusted leg east/north components and corrections
[[-0.0500250125063,100,-0.0500250125063,4.58553341252e-15],[99.9499749875,1.07087674083e-14,-0.0500250125063,4.58553341252e-15],[-0.0500250125062,-100,-0.0500250125063,4.58553341252e-15],[-99.8499249625,-1.37566002375e-14,-0.0499249624812,4.57636234569e-15]]
Cumulative adjusted relative coordinates
[[-0.0500250125063,100],[99.899949975,100],[99.8499249625,1.42108547152e-14],[1.42108547152e-14,4.54254477656e-16]]

Try another scenario

Legs JSON [[bearing degrees, distance m],...]
[[1,100],[90,100],[180,100],[270,99.8]]
Known east displacement start→end (m)
0
Known north displacement start→end (m)
0
Adjusted leg east/north components and corrections
[[1.25868720608,99.9885790415,-0.486553437651,0.00380952585315],[99.5134465623,0.00380952585315,-0.486553437651,0.00380952585315],[-0.486553437651,-99.9961904741,-0.486553437651,0.00380952585315],[-100.285580331,0.00380190680142,-0.485580330776,0.00380190680144]]
Cumulative adjusted relative coordinates
[[1.25868720608,99.9885790415],[100.772133768,99.9923885673],[100.285580331,-0.00380190680143],[0,-5.29741181476e-15]]
Calculation method

Calculation method

Adjusted leg east/north components and corrections

Bowditch: corrections=-closureComponent × legLength/totalLength.

Cumulative adjusted relative coordinates

Bowditch: corrections=-closureComponent × legLength/totalLength.

Symbols and units
a
Legs JSON [[bearing degrees, distance m],...]
b
Known east displacement start→end (m)
c
Known north displacement start→end (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Compass-rule adjustment of planar traverse, not a least-squares network solution. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Compass-rule adjustment of planar traverse, not a least-squares network solution.
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