Spheroidal Distance for Tellurometers 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 Tellurometers [S]

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Spheroidal Distance for Tellurometers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(43*Earth Radius in km^2))
S = K+((K^3)/(43*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)/(43*R^2)) --> 49.5+((49.5^3)/(43*6370^2))

Evaluating ... ...

S = 49.5000695133593

STEP 3: Convert Result to Output's Unit

49.5000695133593 Meter --> No Conversion Required

FINAL ANSWER

49.5000695133593 ≈ 49.50007 Meter <-- Spheroidal Distance

(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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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 Tellurometers Formula

LaTeX Go

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

What is Tellurometers?

The tellurometer was the first successful microwave electronic distance measurement equipment. The name derives from the Latin tellus, meaning Earth. The tellurometer emits a microwave-frequency radio wave: the remote station reradiates the incoming wave in a similar wave of more complex modulation, and the resulting phase shift is a measure of the distance travelled. The results appear on a cathode ray tube with circular sweep.

How to Calculate Spheroidal Distance for Tellurometers?

Spheroidal Distance for Tellurometers calculator uses Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(43*Earth Radius in km^2)) to calculate the Spheroidal Distance, The Spheroidal Distance for Tellurometers 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 Tellurometers using this online calculator? To use this online calculator for Spheroidal Distance for Tellurometers, enter Reduced Distance (K) & Earth Radius in km (R) and hit the calculate button. Here is how the Spheroidal Distance for Tellurometers calculation can be explained with given input values -> 49.50007 = 49.5+((49.5^3)/(43*6370^2)).

FAQ

What is Spheroidal Distance for Tellurometers?

The Spheroidal Distance for Tellurometers 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)/(43*R^2)) or Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(43*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 Tellurometers?

The Spheroidal Distance for Tellurometers 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)/(43*Earth Radius in km^2)). To calculate Spheroidal Distance for Tellurometers, 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)/(38*Earth Radius in km^2))

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