Length of Radius Vectors at Perigee Calculator

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Satellite Orbital Characteristics

✖Major Orbital Axis is the sum of perihelion and the aphelion of the orbit gives the value of the major axis as the sum defines the largest diameter.ⓘ Major Orbital Axis [a_orbit]			+10% -10%
✖Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.ⓘ Eccentricity [e]			+10% -10%

✖Perigee Radius refers to the distance between the center of the Earth and the point in a satellite's orbit that is closest to the Earth's surface.ⓘ Length of Radius Vectors at Perigee [r_perigee]

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Length of Radius Vectors at Perigee

Formula

`"r"_{"perigee"} = "a"_{"orbit"}*(1-"e")`

Example

`"6952km"="7900km"*(1-"0.12")`

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Length of Radius Vectors at Perigee Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perigee Radius = Major Orbital Axis*(1-Eccentricity)
r_perigee = a_orbit*(1-e)
This formula uses 3 Variables

Variables Used

Perigee Radius - (Measured in Meter) - Perigee Radius refers to the distance between the center of the Earth and the point in a satellite's orbit that is closest to the Earth's surface.
Major Orbital Axis - (Measured in Meter) - Major Orbital Axis is the sum of perihelion and the aphelion of the orbit gives the value of the major axis as the sum defines the largest diameter.
Eccentricity - Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.

STEP 1: Convert Input(s) to Base Unit

Major Orbital Axis: 7900 Kilometer --> 7900000 Meter (Check conversion here)
Eccentricity: 0.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_perigee = a_orbit*(1-e) --> 7900000*(1-0.12)

Evaluating ... ...

r_perigee = 6952000

STEP 3: Convert Result to Output's Unit

6952000 Meter -->6952 Kilometer (Check conversion here)

FINAL ANSWER

6952 Kilometer <-- Perigee Radius

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Go Power Density at Satellite Station = Effective Isotropic Radiated Power-Path Loss-Total Loss-(10*log10(4*pi))-(20*log10(Range of Satellite))

Earth Station Latitude

Go Earth Station Latitude = Right Angle-Angle of Elevation-Tilt Angle

Angle of Elevation

Go Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude

Angle of Tilt

Go Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude

Time of Perigee Passage

Go Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion)

Satellite Geostationary Radius

Go Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3)

Geostationary Height

Go Geostationary Height = Geostationary Radius-[Earth-R]

Geostationary Radius

Go Geostationary Radius = Geostationary Height+[Earth-R]

Length of Radius Vectors at Perigee

Go Perigee Radius = Major Orbital Axis*(1-Eccentricity)

Length of Radius Vectors at Apogee

Go Apogee Radius = Major Orbital Axis*(1+Eccentricity)

Perigee Heights

Go Perigee Height = Perigee Radius-[Earth-R]

Azimuth Angle

Go Azimuth Angle = Straight Angle-Acute Angle

Acute Value

Go Acute Angle = Straight Angle-Azimuth Angle

Apogee Heights

Go Apogee Height = Apogee Radius-[Earth-R]

Length of Radius Vectors at Perigee Formula

Perigee Radius = Major Orbital Axis*(1-Eccentricity)
r_perigee = a_orbit*(1-e)

What is apogee and perigee altitude?

Apogee is the point farthest from earth. Perigee is the point of closest approach to earth. Apogee and Perigee Heights.

How to Calculate Length of Radius Vectors at Perigee?

Length of Radius Vectors at Perigee calculator uses Perigee Radius = Major Orbital Axis*(1-Eccentricity) to calculate the Perigee Radius, The Length of Radius Vectors at Perigee formula is defined as the point in an orbit at which the orbiting body is closest to the object it orbits. Perigee Radius is denoted by r_perigee symbol.

How to calculate Length of Radius Vectors at Perigee using this online calculator? To use this online calculator for Length of Radius Vectors at Perigee, enter Major Orbital Axis (a_orbit) & Eccentricity (e) and hit the calculate button. Here is how the Length of Radius Vectors at Perigee calculation can be explained with given input values -> 6.952 = 7900000*(1-0.12).

FAQ

What is Length of Radius Vectors at Perigee?

The Length of Radius Vectors at Perigee formula is defined as the point in an orbit at which the orbiting body is closest to the object it orbits and is represented as r_perigee = a_orbit*(1-e) or Perigee Radius = Major Orbital Axis*(1-Eccentricity). Major Orbital Axis is the sum of perihelion and the aphelion of the orbit gives the value of the major axis as the sum defines the largest diameter & Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.

How to calculate Length of Radius Vectors at Perigee?

The Length of Radius Vectors at Perigee formula is defined as the point in an orbit at which the orbiting body is closest to the object it orbits is calculated using Perigee Radius = Major Orbital Axis*(1-Eccentricity). To calculate Length of Radius Vectors at Perigee, you need Major Orbital Axis (a_orbit) & Eccentricity (e). With our tool, you need to enter the respective value for Major Orbital Axis & Eccentricity 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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