Survey traverse closure calculator

Calculate east closure error and north closure error with your own figures.

Your numbers

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

Use east closure error and north closure error 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
East closure error (m)
0.2
North closure error (m)
-0
Linear misclosure (m)
0.2
Traverse length / misclosure (or exact closure)
1,999

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
East closure error (m)
1.945241
North closure error (m)
-0.01523
Linear misclosure (m)
1.9453
Traverse length / misclosure (or exact closure)
205.520971
Calculation method

Calculation method

East closure error (m)

Sum leg components minus known end displacement; relative precision=totalLength/misclosure.

North closure error (m)

Sum leg components minus known end displacement; relative precision=totalLength/misclosure.

Linear misclosure (m)

Sum leg components minus known end displacement; relative precision=totalLength/misclosure.

Traverse length / misclosure (or exact closure)

Sum leg components minus known end displacement; relative precision=totalLength/misclosure.

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

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. 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. Sum leg components minus known end displacement; relative precision=totalLength/misclosure.
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