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Spheroidal Distance for Geodimeters Formula

GoSpheroidal Distance Formula

GoSpheroidal Distance for Tellurometers Formula

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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). Check FAQs

S = K + (\frac{K^{3}}{38 \cdot R^{2}})

S - Spheroidal Distance?K - Reduced Distance?R - Earth Radius in km?

Spheroidal Distance for Geodimeters Example

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Here is how the Spheroidal Distance for Geodimeters equation looks like with Values.

Here is how the Spheroidal Distance for Geodimeters equation looks like with Units.

Here is how the Spheroidal Distance for Geodimeters equation looks like.

49.5001 = 49.5 + (\frac{{49.5}^{3}}{38 \cdot 6370^{2}})

49.5001m = 49.5m + (\frac{{49.5m}^{3}}{38 \cdot 6370^{2}})

49.5001 = 49.5 + (\frac{{49.5}^{3}}{38 \cdot 6370^{2}})

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Spheroidal Distance for Geodimeters Solution

Follow our step by step solution on how to calculate Spheroidal Distance for Geodimeters?

FIRST Step Consider the formula

S = K + (\frac{K^{3}}{38 \cdot R^{2}})

Next Step Substitute values of Variables

∴

S = 49.5m + (\frac{{49.5m}^{3}}{38 \cdot 6370^{2}})

Next Step Prepare to Evaluate

∴

S = 49.5 + (\frac{{49.5}^{3}}{38 \cdot 6370^{2}})

Next Step Evaluate

∴

S = 49.5000786598539m

LAST Step Rounding Answer

∴

S = 49.5001m

Spheroidal Distance for Geodimeters Formula Elements

Variables

Spheroidal Distance

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).

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spheroidal Distance

Reduced Distance

Reduced distance is the distance which is reduced over the ellipsoid between the projections of the two points onto the ellipsoid.

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Reduced Distance

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.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Earth Radius in km

Other Formulas to find Spheroidal Distance

Go Spheroidal Distance

S = K + (\frac{K^{3}}{24 \cdot R^{2}})

Go Spheroidal Distance for Tellurometers

S = K + (\frac{K^{3}}{43 \cdot R^{2}})

Other formulas in EDM Lines category

Go Reduced Distance

K = R \cdot \sqrt{\frac{(D - (H 2 - H 1)) \cdot (D + (H 2 - H 1))}{(R + H 1) \cdot (R + H 2)}}

How to Evaluate Spheroidal Distance for Geodimeters?

Spheroidal Distance for Geodimeters evaluator uses Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2)) to evaluate 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 evaluate Spheroidal Distance for Geodimeters using this online evaluator? To use this online evaluator for Spheroidal Distance for Geodimeters, enter Reduced Distance (K) & Earth Radius in km (R) and hit the calculate button.

FAQs on Spheroidal Distance for Geodimeters

What is the formula to find Spheroidal Distance for Geodimeters?

The formula of Spheroidal Distance for Geodimeters is expressed as Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2)). Here is an example- 49.50008 = 49.5+((49.5^3)/(38*6370^2)).

How to calculate Spheroidal Distance for Geodimeters?

With Reduced Distance (K) & Earth Radius in km (R) we can find Spheroidal Distance for Geodimeters using the formula - Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2)).

What are the other ways to Calculate Spheroidal Distance?

Here are the different ways to Calculate Spheroidal Distance-

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))

Can the Spheroidal Distance for Geodimeters be negative?

No, the Spheroidal Distance for Geodimeters, measured in Length cannot be negative.

Which unit is used to measure Spheroidal Distance for Geodimeters?

Spheroidal Distance for Geodimeters is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Spheroidal Distance for Geodimeters can be measured.

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Spheroidal Distance for Geodimeters Formula

​GoSpheroidal Distance Formula

​GoSpheroidal Distance for Tellurometers Formula

Spheroidal Distance for Geodimeters Example

Spheroidal Distance for Geodimeters Solution

Spheroidal Distance for Geodimeters Formula Elements

Other Formulas to find Spheroidal Distance

Other formulas in EDM Lines category

How to Evaluate Spheroidal Distance for Geodimeters?

FAQs on Spheroidal Distance for Geodimeters

Variable Name

GoSpheroidal Distance Formula

GoSpheroidal Distance for Tellurometers Formula