Range Vector Solution

STEP 0: Pre-Calculation Summary
Formula Used
Range Vector = Satellite Radius Vector-[Earth-R]
Vrange = Vsr-[Earth-R]
This formula uses 1 Constants, 2 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
Variables Used
Range Vector - (Measured in Meter) - Range Vector refers to a vector that represents the position of a satellite relative to a ground station or reference point.
Satellite Radius Vector - (Measured in Meter) - Satellite radius vector refers to the vector that represents the position of a satellite in space relative to a reference point.
STEP 1: Convert Input(s) to Base Unit
Satellite Radius Vector: 7456 Kilometer --> 7456000 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrange = Vsr-[Earth-R] --> 7456000-[Earth-R]
Evaluating ... ...
Vrange = 1084991.2
STEP 3: Convert Result to Output's Unit
1084991.2 Meter -->1084.9912 Kilometer (Check conversion here)
FINAL ANSWER
1084.9912 1084.991 Kilometer <-- Range Vector
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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16 Satellite Orbital Characteristics Calculators

Position Vector
Go Position Vector = (Major Axis*(1-Eccentricity^2))/(1+Eccentricity*cos(True Anomaly))
Kepler's First Law
Go Eccentricity = sqrt((Semi Major Axis^2-Semi Minor Axis^2))/Semi Major Axis
Mean Anomaly
Go Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly)
True Anomaly
Go True Anomaly = Mean Anomaly+(2*Eccentricity*sin(Mean Anomaly))
Universal Time
Go Universal Time = (1/24)*(Time in Hour+(Time in Minutes/60)+(Time in Seconds/3600))
Reference Time in Julian Centuries
Go Reference Time = (Julian Day-Julian Day Reference)/Julian Century
Julian Day
Go Julian Day = (Reference Time*Julian Century)+Julian Day Reference
Julian Century
Go Julian Century = (Julian Day-Julian Day Reference)/Reference Time
Nominal Mean Motion
Go Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)
Mean Motion of Satellite
Go Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)
Local Sidereal Time
Go Local Sidereal Time = Greenwich Sidereal Time+East Longitude
Kepler's Third Law
Go Semi Major Axis = ([GM.Earth]/Mean Motion^2)^(1/3)
Range Vector
Go Range Vector = Satellite Radius Vector-[Earth-R]
Orbital Period of Satellite in Minutes
Go Orbital Period in Minutes = 2*pi/Mean Motion
Anomalistic Period
Go Anomalistic Period = (2*pi)/Mean Motion
Universal Time Degree
Go Universal Time Degree = (Universal Time*360)

Range Vector Formula

Range Vector = Satellite Radius Vector-[Earth-R]
Vrange = Vsr-[Earth-R]

What is range in Prometheus?

Range vector seems more logical as it has values per timestamp : range vectors works between a range of 2 timestamps, so when you apply the [5m] to your metric, it take now-5m of the range and displays the results in that time frame, and since there maybe more than 1 results in that time frame the timestamp is shown

How to Calculate Range Vector?

Range Vector calculator uses Range Vector = Satellite Radius Vector-[Earth-R] to calculate 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 calculate Range Vector using this online calculator? To use this online calculator for Range Vector, enter Satellite Radius Vector (Vsr) and hit the calculate button. Here is how the Range Vector calculation can be explained with given input values -> 1.084991 = 7456000-[Earth-R].

FAQ

What is 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 and is represented as Vrange = Vsr-[Earth-R] or Range Vector = Satellite Radius Vector-[Earth-R]. Satellite radius vector refers to the vector that represents the position of a satellite in space relative to a reference point.
How to calculate 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 is calculated using Range Vector = Satellite Radius Vector-[Earth-R]. To calculate Range Vector, you need Satellite Radius Vector (Vsr). With our tool, you need to enter the respective value for Satellite Radius Vector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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