Correction to Latitude by Bowditch Rule Calculator

✖Error in latitude is the error occurred either in measurement or noting while surveying.ⓘ Error in Latitude [e_l/r]			+10% -10%
✖Latitude of Line is the projection of the specific line in north-south direction.ⓘ Latitude of Line [L]			+10% -10%
✖Perimeter of Traverse is the sum of the lengths of lines which is used for traversing.ⓘ Perimeter of Traverse [P]			+10% -10%

✖Correction to Latitude is the improvement given to the latitude distance.ⓘ Correction to Latitude by Bowditch Rule [c_l/r]

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Formula

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Correction to Latitude by Bowditch Rule

Formula

`"c"_{"l/r"} = "e"_{"l/r"}*"L"/"P"`

Example

`"11.52941m"="49m"*"20m"/"85m"`

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Correction to Latitude by Bowditch Rule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse
c_l/r = e_l/r*L/P
This formula uses 4 Variables

Variables Used

Correction to Latitude - (Measured in Meter) - Correction to Latitude is the improvement given to the latitude distance.
Error in Latitude - (Measured in Meter) - Error in latitude is the error occurred either in measurement or noting while surveying.
Latitude of Line - (Measured in Meter) - Latitude of Line is the projection of the specific line in north-south direction.
Perimeter of Traverse - (Measured in Meter) - Perimeter of Traverse is the sum of the lengths of lines which is used for traversing.

STEP 1: Convert Input(s) to Base Unit

Error in Latitude: 49 Meter --> 49 Meter No Conversion Required
Latitude of Line: 20 Meter --> 20 Meter No Conversion Required
Perimeter of Traverse: 85 Meter --> 85 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_l/r = e_l/r*L/P --> 49*20/85

Evaluating ... ...

c_l/r = 11.5294117647059

STEP 3: Convert Result to Output's Unit

11.5294117647059 Meter --> No Conversion Required

FINAL ANSWER

11.5294117647059 ≈ 11.52941 Meter <-- Correction to Latitude

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 12 Traversing Calculators

Total Error in Latitude if Correction is Known from Bowditch Rule

Go Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line

Correction to Latitude by Bowditch Rule

Go Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse

Correction of Latitude by Transit Rule

Go Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes

Correction to Second Bearing for given Closing Error

Go Correction to Second Bearing = (2*Closing Error/Number of Sides)*(pi/180)

Correction to First Bearing for given Closing Error

Go Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180)

Correction to Northing in Transit Rule

Go Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings

Sum of Departures given Closing Error

Go Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)

Sum of Latitudes given Closing Error

Go Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)

Closing Error in Traversing

Go Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)

Sum of Latitudes given Direction of Closing Error

Go Sum of Latitudes = Sum of Departures/Direction of Closing Error

Sum of Departure given Direction of Closing Error

Go Sum of Departures = Direction of Closing Error*Sum of Latitudes

Direction of Closing Error in Traversing

Go Direction of Closing Error = Sum of Departures/Sum of Latitudes

Correction to Latitude by Bowditch Rule Formula

Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse
c_l/r = e_l/r*L/P

What is Bowditch Rule?

It is used to balance a traverse when the linear and angular measurements are equally precise. It is assumed that the errors in the linear measurements are proportional to l^1/2, where l is the length of the line, and those in the angular measurements are inversely proportional to l^1/2, which is questionable.
If equal weights are assigned to linear and angular measurements, the errors and hence the corrections are proportional to the lengths of the lines.

How to Calculate Correction to Latitude by Bowditch Rule?

Correction to Latitude by Bowditch Rule calculator uses Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse to calculate the Correction to Latitude, The Correction to Latitude by Bowditch Rule shows the improvement given to latitude or departure. The Bowditch rule is also called compass rule. Correction to Latitude is denoted by c_l/r symbol.

How to calculate Correction to Latitude by Bowditch Rule using this online calculator? To use this online calculator for Correction to Latitude by Bowditch Rule, enter Error in Latitude (e_l/r), Latitude of Line (L) & Perimeter of Traverse (P) and hit the calculate button. Here is how the Correction to Latitude by Bowditch Rule calculation can be explained with given input values -> 11.52941 = 49*20/85.

FAQ

What is Correction to Latitude by Bowditch Rule?

The Correction to Latitude by Bowditch Rule shows the improvement given to latitude or departure. The Bowditch rule is also called compass rule and is represented as c_l/r = e_l/r*L/P or Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse. Error in latitude is the error occurred either in measurement or noting while surveying, Latitude of Line is the projection of the specific line in north-south direction & Perimeter of Traverse is the sum of the lengths of lines which is used for traversing.

How to calculate Correction to Latitude by Bowditch Rule?

The Correction to Latitude by Bowditch Rule shows the improvement given to latitude or departure. The Bowditch rule is also called compass rule is calculated using Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse. To calculate Correction to Latitude by Bowditch Rule, you need Error in Latitude (e_l/r), Latitude of Line (L) & Perimeter of Traverse (P). With our tool, you need to enter the respective value for Error in Latitude, Latitude of Line & Perimeter of Traverse and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Correction to Latitude?

In this formula, Correction to Latitude uses Error in Latitude, Latitude of Line & Perimeter of Traverse. We can use 1 other way(s) to calculate the same, which is/are as follows -

Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes

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