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Length of Radius Vectors at Perigee Formula

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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. Check FAQs

r perigee = a orbit \cdot (1 - e)

r_perigee - Perigee Radius?a_orbit - Major Orbital Axis?e - Eccentricity?

Length of Radius Vectors at Perigee Example

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

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

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

6952 = 7900 \cdot (1 - 0.12)

6952km = 7900km \cdot (1 - 0.12)

6952 = 7900 \cdot (1 - 0.12)

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Length of Radius Vectors at Perigee Solution

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

FIRST Step Consider the formula

r perigee = a orbit \cdot (1 - e)

Next Step Substitute values of Variables

∴

r perigee = 7900km \cdot (1 - 0.12)

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r perigee = 6952000m

LAST Step Convert to Output's Unit

∴

r perigee = 6952km

Length of Radius Vectors at Perigee Formula Elements

Variables

Perigee Radius

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.

Symbol: r_perigee

Measurement: LengthUnit: km

Note: Value should be greater than 6372.

Formulas to find Perigee 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 Perigee?

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

FAQs on Length of Radius Vectors at Perigee

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

The formula of Length of Radius Vectors at Perigee is expressed as Perigee Radius = Major Orbital Axis*(1-Eccentricity). Here is an example- 6.952 = 7900000*(1-0.12).

How to calculate Length of Radius Vectors at Perigee?

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

Can the Length of Radius Vectors at Perigee be negative?

Yes, the Length of Radius Vectors at Perigee, measured in Length can be negative.

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

Length of Radius Vectors at Perigee 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 Perigee can be measured.

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