Spheroidal Distance for Geodimeters Calculator

✖Reduced distance is the distance which is reduced over the ellipsoid between the projections of the two points onto the ellipsoid.ⓘ Reduced Distance [K]			+10% -10%
✖Earth radius in km is the distance from the center of Earth to a point on or near its surface. Approximating earth as a spheroid, the radius ranges from 6,357 km to 6,378 km.ⓘ Earth Radius in km [R]			+10% -10%

✖Spheroidal distance is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior).ⓘ Spheroidal Distance for Geodimeters [S]

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Spheroidal Distance for Geodimeters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2))
S = K+((K^3)/(38*R^2))
This formula uses 3 Variables

Variables Used

Spheroidal Distance - (Measured in Meter) - Spheroidal distance is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior).
Reduced Distance - (Measured in Meter) - Reduced distance is the distance which is reduced over the ellipsoid between the projections of the two points onto the ellipsoid.
Earth Radius in km - Earth radius in km is the distance from the center of Earth to a point on or near its surface. Approximating earth as a spheroid, the radius ranges from 6,357 km to 6,378 km.

STEP 1: Convert Input(s) to Base Unit

Reduced Distance: 49.5 Meter --> 49.5 Meter No Conversion Required
Earth Radius in km: 6370 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = K+((K^3)/(38*R^2)) --> 49.5+((49.5^3)/(38*6370^2))

Evaluating ... ...

S = 49.5000786598539

STEP 3: Convert Result to Output's Unit

49.5000786598539 Meter --> No Conversion Required

FINAL ANSWER

49.5000786598539 ≈ 49.50008 Meter <-- Spheroidal Distance

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Reduced Distance

LaTeX Go Reduced Distance = Earth Radius in km*sqrt(((Distance Traveled-(Elevation of b-Elevation of a))*(Distance Traveled+(Elevation of b-Elevation of a)))/((Earth Radius in km+Elevation of a)*(Earth Radius in km+Elevation of b)))

Spheroidal Distance for Tellurometers

LaTeX Go Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(43*Earth Radius in km^2))

Spheroidal Distance for Geodimeters

LaTeX Go Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2))

Spheroidal Distance

LaTeX Go Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(24*Earth Radius in km^2))

Spheroidal Distance for Geodimeters Formula

LaTeX Go

Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2))
S = K+((K^3)/(38*R^2))

What is Geodimeters?

The Geodimeter (acronym of geodetic distance meter) was the first optical electronic distance meter surveying instrument. It was originally developed for measuring the speed of light. It was invented in the 1940s by Erik Osten Bergstrand and commercialized in 1953 by the AGA (Aktiebolaget Gasaccumulator) company of Sweden.

How to Calculate Spheroidal Distance for Geodimeters?

Spheroidal Distance for Geodimeters calculator uses Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2)) to calculate the Spheroidal Distance, The Spheroidal Distance for Geodimeters formula is defined as the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior). Spheroidal Distance is denoted by S symbol.

How to calculate Spheroidal Distance for Geodimeters using this online calculator? To use this online calculator for Spheroidal Distance for Geodimeters, enter Reduced Distance (K) & Earth Radius in km (R) and hit the calculate button. Here is how the Spheroidal Distance for Geodimeters calculation can be explained with given input values -> 49.50008 = 49.5+((49.5^3)/(38*6370^2)).

FAQ

What is Spheroidal Distance for Geodimeters?

The Spheroidal Distance for Geodimeters formula is defined as the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior) and is represented as S = K+((K^3)/(38*R^2)) or Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2)). Reduced distance is the distance which is reduced over the ellipsoid between the projections of the two points onto the ellipsoid & Earth radius in km is the distance from the center of Earth to a point on or near its surface. Approximating earth as a spheroid, the radius ranges from 6,357 km to 6,378 km.

How to calculate Spheroidal Distance for Geodimeters?

The Spheroidal Distance for Geodimeters formula is defined as the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior) is calculated using Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2)). To calculate Spheroidal Distance for Geodimeters, you need Reduced Distance (K) & Earth Radius in km (R). With our tool, you need to enter the respective value for Reduced Distance & Earth Radius in km 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 Spheroidal Distance?

In this formula, Spheroidal Distance uses Reduced Distance & Earth Radius in km. We can use 2 other way(s) to calculate the same, which is/are as follows -

Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(24*Earth Radius in km^2))
Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(43*Earth Radius in km^2))

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