Correction of Latitude by Transit 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%
✖Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).ⓘ Sum of Latitudes [ƩL]			+10% -10%

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

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Formula

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Correction of Latitude by Transit Rule

Formula

`"c"_{"l/r"} = "e"_{"l/r"}*"L"/"ƩL"`

Example

`"24.5m"="49m"*"20m"/"40m"`

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Correction of Latitude by Transit Rule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes
c_l/r = e_l/r*L/ƩL
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.
Sum of Latitudes - (Measured in Meter) - Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).

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
Sum of Latitudes: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_l/r = e_l/r*L/ƩL --> 49*20/40

Evaluating ... ...

c_l/r = 24.5

STEP 3: Convert Result to Output's Unit

24.5 Meter --> No Conversion Required

FINAL ANSWER

24.5 Meter <-- Correction to Latitude

(Calculation completed in 00.005 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 of Latitude by Transit Rule Formula

Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes
c_l/r = e_l/r*L/ƩL

What is Transit Rule?

This method of adjusting the consecutive coordinates of traverse is purely empirical and there is no sound theoretical foundation for it. It is employed when the angular measurements are more precise as compared to the linear measurements (theodolite traversing).

How to Calculate Correction of Latitude by Transit Rule?

Correction of Latitude by Transit Rule calculator uses Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes to calculate the Correction to Latitude, The Correction of Latitude by Transit Rule is the method of adjusting the consecutive coordinates of traverse is purely empirical and there is no sound theoretical foundation for it. This equation can be used for both latitudes and departures. Correction to Latitude is denoted by c_l/r symbol.

How to calculate Correction of Latitude by Transit Rule using this online calculator? To use this online calculator for Correction of Latitude by Transit Rule, enter Error in Latitude (e_l/r), Latitude of Line (L) & Sum of Latitudes (ƩL) and hit the calculate button. Here is how the Correction of Latitude by Transit Rule calculation can be explained with given input values -> 24.5 = 49*20/40.

FAQ

What is Correction of Latitude by Transit Rule?

The Correction of Latitude by Transit Rule is the method of adjusting the consecutive coordinates of traverse is purely empirical and there is no sound theoretical foundation for it. This equation can be used for both latitudes and departures and is represented as c_l/r = e_l/r*L/ƩL or Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes. 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 & Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).

How to calculate Correction of Latitude by Transit Rule?

The Correction of Latitude by Transit Rule is the method of adjusting the consecutive coordinates of traverse is purely empirical and there is no sound theoretical foundation for it. This equation can be used for both latitudes and departures is calculated using Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes. To calculate Correction of Latitude by Transit Rule, you need Error in Latitude (e_l/r), Latitude of Line (L) & Sum of Latitudes (ƩL). With our tool, you need to enter the respective value for Error in Latitude, Latitude of Line & Sum of Latitudes 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 & Sum of Latitudes. 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/Perimeter of Traverse

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