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Time of Perigee Passage Formula

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Perigee passage refers to the moment when a satellite reaches its closest point to Earth during its orbit. Check FAQs

L perigee = t min - (\frac{M}{n})

L_perigee - Perigee Passage?t_min - Time in Minutes?M - Mean Anomaly?n - Mean Motion?

Time of Perigee Passage Example

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Here is how the Time of Perigee Passage equation looks like with Values.

Here is how the Time of Perigee Passage equation looks like with Units.

Here is how the Time of Perigee Passage equation looks like.

19.7934 = 20 - (\frac{31.958}{0.045})

19.7934min = 20min - (\frac{31.958°}{0.045rad/s})

19.7934 = 20 - (\frac{31.958}{0.045})

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Time of Perigee Passage Solution

Follow our step by step solution on how to calculate Time of Perigee Passage?

FIRST Step Consider the formula

L perigee = t min - (\frac{M}{n})

Next Step Substitute values of Variables

∴

L perigee = 20min - (\frac{31.958°}{0.045rad/s})

Next Step Convert Units

∴

L perigee = 1200s - (\frac{0.5578rad}{0.045rad/s})

Next Step Prepare to Evaluate

∴

L perigee = 1200 - (\frac{0.5578}{0.045})

Next Step Evaluate

∴

L perigee = 1187.60505950328s

Next Step Convert to Output's Unit

∴

L perigee = 19.7934176583881min

LAST Step Rounding Answer

∴

L perigee = 19.7934min

Time of Perigee Passage Formula Elements

Variables

Perigee Passage

Perigee passage refers to the moment when a satellite reaches its closest point to Earth during its orbit.

Symbol: L_perigee

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Perigee Passage

Time in Minutes

Time in Minutes is the time measurement in minutes which is equivalent to 60 seconds.

Symbol: t_min

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Time in Minutes

Mean Anomaly

Mean Anomaly is the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis.

Symbol: M

Measurement: AngleUnit: °

Note: Value should be less than 360.

Formulas to find Mean Anomaly

Mean Motion

Mean Motion is angular speed required for a body to complete an orbit, assuming constant speed in circular orbit that takes same time as variable speed elliptical orbit of actual body.

Symbol: n

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Mean Motion

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 Time of Perigee Passage?

Time of Perigee Passage evaluator uses Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion) to evaluate the Perigee Passage, The Time of Perigee Passage formula is defined as the time of the satellite passage through the closest approach to the earth. Perigee Passage is denoted by L_perigee symbol.

How to evaluate Time of Perigee Passage using this online evaluator? To use this online evaluator for Time of Perigee Passage, enter Time in Minutes (t_min), Mean Anomaly (M) & Mean Motion (n) and hit the calculate button.

FAQs on Time of Perigee Passage

What is the formula to find Time of Perigee Passage?

The formula of Time of Perigee Passage is expressed as Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion). Here is an example- 0.323526 = 1200-(0.557772322352243/0.045).

How to calculate Time of Perigee Passage?

With Time in Minutes (t_min), Mean Anomaly (M) & Mean Motion (n) we can find Time of Perigee Passage using the formula - Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion).

Can the Time of Perigee Passage be negative?

No, the Time of Perigee Passage, measured in Time cannot be negative.

Which unit is used to measure Time of Perigee Passage?

Time of Perigee Passage is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Time of Perigee Passage can be measured.

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Time of Perigee Passage Formula

Time of Perigee Passage Example

Time of Perigee Passage Solution

Time of Perigee Passage Formula Elements

Other formulas in Geostationary Orbit category

How to Evaluate Time of Perigee Passage?

FAQs on Time of Perigee Passage

Variable Name