Range Vector Formula

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Range Vector refers to a vector that represents the position of a satellite relative to a ground station or reference point. Check FAQs
Vrange=Vsr-[Earth-R]
Vrange - Range Vector?Vsr - Satellite Radius Vector?[Earth-R] - Earth mean radius?

Range Vector Example

With values
With units
Only example

Here is how the Range Vector equation looks like with Values.

Here is how the Range Vector equation looks like with Units.

Here is how the Range Vector equation looks like.

1084.9912Edit=7456Edit-6371.0088
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Range Vector Solution

Follow our step by step solution on how to calculate Range Vector?

FIRST Step Consider the formula
Vrange=Vsr-[Earth-R]
Next Step Substitute values of Variables
Vrange=7456km-[Earth-R]
Next Step Substitute values of Constants
Vrange=7456km-6371.0088km
Next Step Convert Units
Vrange=7.5E+6m-6371.0088km
Next Step Prepare to Evaluate
Vrange=7.5E+6-6371.0088
Next Step Evaluate
Vrange=1084991.2m
LAST Step Convert to Output's Unit
Vrange=1084.9912km

Range Vector Formula Elements

Variables
Constants
Range Vector
Range Vector refers to a vector that represents the position of a satellite relative to a ground station or reference point.
Symbol: Vrange
Measurement: LengthUnit: km
Note: Value can be positive or negative.
Satellite Radius Vector
Satellite radius vector refers to the vector that represents the position of a satellite in space relative to a reference point.
Symbol: Vsr
Measurement: LengthUnit: km
Note: Value should be greater than 6371.
Earth mean radius
Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.
Symbol: [Earth-R]
Value: 6371.0088 km

Other formulas in Satellite Orbital Characteristics category

​Go Anomalistic Period
TAP=2πn
​Go Local Sidereal Time
LST=GST+Elong
​Go Mean Anomaly
M=E-esin(E)
​Go Mean Motion of Satellite
n=[GM.Earth]asemi3

How to Evaluate Range Vector?

Range Vector evaluator uses Range Vector = Satellite Radius Vector-[Earth-R] to evaluate the Range Vector, The range vector formula is defined as is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference. Range Vector is denoted by Vrange symbol.

How to evaluate Range Vector using this online evaluator? To use this online evaluator for Range Vector, enter Satellite Radius Vector (Vsr) and hit the calculate button.

FAQs on Range Vector

What is the formula to find Range Vector?
The formula of Range Vector is expressed as Range Vector = Satellite Radius Vector-[Earth-R]. Here is an example- 1.084991 = 7456000-[Earth-R].
How to calculate Range Vector?
With Satellite Radius Vector (Vsr) we can find Range Vector using the formula - Range Vector = Satellite Radius Vector-[Earth-R]. This formula also uses Earth mean radius constant(s).
Can the Range Vector be negative?
Yes, the Range Vector, measured in Length can be negative.
Which unit is used to measure Range Vector?
Range Vector is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Range Vector can be measured.
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