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Length of Radius Vectors at Apogee Formula

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Apogee Radius represents the maximum distance between an orbiting body and the object it orbits. Check FAQs

r apogee = a orbit \cdot (1 + e)

r_apogee - Apogee Radius?a_orbit - Major Orbital Axis?e - Eccentricity?

Length of Radius Vectors at Apogee Example

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Here is how the Length of Radius Vectors at Apogee equation looks like with Values.

Here is how the Length of Radius Vectors at Apogee equation looks like with Units.

Here is how the Length of Radius Vectors at Apogee equation looks like.

8848 = 7900 \cdot (1 + 0.12)

8848km = 7900km \cdot (1 + 0.12)

8848 = 7900 \cdot (1 + 0.12)

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Length of Radius Vectors at Apogee Solution

Follow our step by step solution on how to calculate Length of Radius Vectors at Apogee?

FIRST Step Consider the formula

r apogee = a orbit \cdot (1 + e)

Next Step Substitute values of Variables

∴

r apogee = 7900km \cdot (1 + 0.12)

Next Step Convert Units

∴

r apogee = 7.9E+6m \cdot (1 + 0.12)

Next Step Prepare to Evaluate

∴

r apogee = 7.9E+6 \cdot (1 + 0.12)

Next Step Evaluate

∴

r apogee = 8848000m

LAST Step Convert to Output's Unit

∴

r apogee = 8848km

Length of Radius Vectors at Apogee Formula Elements

Variables

Apogee Radius

Apogee Radius represents the maximum distance between an orbiting body and the object it orbits.

Symbol: r_apogee

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Apogee Radius

Major Orbital Axis

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.

Symbol: a_orbit

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Major Orbital Axis

Eccentricity

Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Eccentricity

Other formulas in Geostationary Orbit category

Go Angle of Elevation

∠θ el = ∠θ R - ∠θ tilt - λ e

Go Angle of Tilt

∠θ tilt = ∠θ R - ∠θ el - λ e

Go Satellite Geostationary Radius

R gso = {(\frac{[GM.Earth] \cdot P day}{4 \cdot π^{2}})}^{\frac{1}{3}}

Go Geostationary Height

H gso = R gso - [Earth-R]

How to Evaluate Length of Radius Vectors at Apogee?

Length of Radius Vectors at Apogee evaluator uses Apogee Radius = Major Orbital Axis*(1+Eccentricity) to evaluate 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 evaluate Length of Radius Vectors at Apogee using this online evaluator? To use this online evaluator for Length of Radius Vectors at Apogee, enter Major Orbital Axis (a_orbit) & Eccentricity (e) and hit the calculate button.

FAQs on Length of Radius Vectors at Apogee

What is the formula to find Length of Radius Vectors at Apogee?

The formula of Length of Radius Vectors at Apogee is expressed as Apogee Radius = Major Orbital Axis*(1+Eccentricity). Here is an example- 8.848 = 7900000*(1+0.12).

How to calculate Length of Radius Vectors at Apogee?

With Major Orbital Axis (a_orbit) & Eccentricity (e) we can find Length of Radius Vectors at Apogee using the formula - Apogee Radius = Major Orbital Axis*(1+Eccentricity).

Can the Length of Radius Vectors at Apogee be negative?

No, the Length of Radius Vectors at Apogee, measured in Length cannot be negative.

Which unit is used to measure Length of Radius Vectors at Apogee?

Length of Radius Vectors at Apogee is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Length of Radius Vectors at Apogee can be measured.

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