FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Spheroidal Distance Formula

GoSpheroidal Distance for Tellurometers Formula

GoSpheroidal Distance for Geodimeters Formula

Fx Copy

LaTeX Copy

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}}{24 \cdot R^{2}})

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

Spheroidal Distance Example

With values

With units

Only example

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

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

Here is how the Spheroidal Distance equation looks like.

49.5001 = 49.5 + (\frac{{49.5}^{3}}{24 \cdot 6370^{2}})

49.5001m = 49.5m + (\frac{{49.5m}^{3}}{24 \cdot 6370^{2}})

49.5001 = 49.5 + (\frac{{49.5}^{3}}{24 \cdot 6370^{2}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Spheroidal Distance

Spheroidal Distance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = 49.5m + (\frac{{49.5m}^{3}}{24 \cdot 6370^{2}})

Next Step Prepare to Evaluate

∴

S = 49.5 + (\frac{{49.5}^{3}}{24 \cdot 6370^{2}})

Next Step Evaluate

∴

S = 49.5001245447687m

LAST Step Rounding Answer

∴

S = 49.5001m

Spheroidal Distance 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 for Tellurometers

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

Go Spheroidal Distance for Geodimeters

S = K + (\frac{K^{3}}{38 \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?

Spheroidal Distance evaluator uses Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(24*Earth Radius in km^2)) to evaluate the Spheroidal Distance, The Spheroidal Distance 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 using this online evaluator? To use this online evaluator for Spheroidal Distance, enter Reduced Distance (K) & Earth Radius in km (R) and hit the calculate button.

FAQs on Spheroidal Distance

What is the formula to find Spheroidal Distance?

The formula of Spheroidal Distance is expressed as Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(24*Earth Radius in km^2)). Here is an example- 49.50012 = 49.5+((49.5^3)/(24*6370^2)).

How to calculate Spheroidal Distance?

With Reduced Distance (K) & Earth Radius in km (R) we can find Spheroidal Distance using the formula - Spheroidal Distance = Reduced Distance+((Reduced Distance^3)/(24*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)/(43*Earth Radius in km^2))
Spheroidal Distance=Reduced Distance+((Reduced Distance^3)/(38*Earth Radius in km^2))

Can the Spheroidal Distance be negative?

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

Which unit is used to measure Spheroidal Distance?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Spheroidal Distance Formula

​GoSpheroidal Distance for Tellurometers Formula

​GoSpheroidal Distance for Geodimeters Formula

Spheroidal Distance Example

Spheroidal Distance Solution

Spheroidal Distance Formula Elements

Other Formulas to find Spheroidal Distance

Other formulas in EDM Lines category

How to Evaluate Spheroidal Distance?

FAQs on Spheroidal Distance

Variable Name

GoSpheroidal Distance for Tellurometers Formula

GoSpheroidal Distance for Geodimeters Formula