Length of Radius Vectors at Apogee 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%

✖Apogee Radius represents the maximum distance between an orbiting body and the object it orbits.ⓘ Length of Radius Vectors at Apogee [r_apogee]

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Length of Radius Vectors at Apogee

Formula

`"r"_{"apogee"} = "a"_{"orbit"}*(1+"e")`

Example

`"8848km"="7900km"*(1+"0.12")`

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Length of Radius Vectors at Apogee Solution

STEP 0: Pre-Calculation Summary

Formula Used

Apogee Radius = Major Orbital Axis*(1+Eccentricity)
r_apogee = a_orbit*(1+e)
This formula uses 3 Variables

Variables Used

Apogee Radius - (Measured in Meter) - Apogee Radius represents the maximum distance between an orbiting body and the object it orbits.
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_apogee = a_orbit*(1+e) --> 7900000*(1+0.12)

Evaluating ... ...

r_apogee = 8848000

STEP 3: Convert Result to Output's Unit

8848000 Meter -->8848 Kilometer (Check conversion here)

FINAL ANSWER

8848 Kilometer <-- Apogee Radius

(Calculation completed in 00.004 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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Power Density at Satellite Station

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 Apogee Formula

Apogee Radius = Major Orbital Axis*(1+Eccentricity)
r_apogee = a_orbit*(1+e)

How do you calculate apogee distance?

The apogee as the opposite point along the semi-major axis. We define the distance from F1 to F2 as 2c. We define the eccentricity, e, of the ellipse as e = c/a. For an ellipse, e < 1.

How to Calculate Length of Radius Vectors at Apogee?

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

How to calculate Length of Radius Vectors at Apogee using this online calculator? To use this online calculator for Length of Radius Vectors at Apogee, enter Major Orbital Axis (a_orbit) & Eccentricity (e) and hit the calculate button. Here is how the Length of Radius Vectors at Apogee calculation can be explained with given input values -> 8.848 = 7900000*(1+0.12).

FAQ

What is Length of Radius Vectors at Apogee?

The Length of Radius Vectors at Apogee formula is defined as the point in an orbit at which the orbiting body is furthest to the object it orbits and is represented as r_apogee = a_orbit*(1+e) or Apogee 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 Apogee?

The Length of Radius Vectors at Apogee formula is defined as the point in an orbit at which the orbiting body is furthest to the object it orbits is calculated using Apogee Radius = Major Orbital Axis*(1+Eccentricity). To calculate Length of Radius Vectors at Apogee, 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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