Time of Perigee Passage Calculator

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Geostationary Orbit

Radio Wave Propagation

Satellite Orbital Characteristics

✖Time in Minutes is the time measurement in minutes which is equivalent to 60 seconds.ⓘ Time in Minutes [t_min]			+10% -10%
✖Mean Anomaly is the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis.ⓘ Mean Anomaly [M]			+10% -10%
✖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.ⓘ Mean Motion [n]			+10% -10%

✖Perigee passage refers to the moment when a satellite reaches its closest point to Earth during its orbit.ⓘ Time of Perigee Passage [L_perigee]

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Formula

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Time of Perigee Passage

Formula

`"L"_{"perigee"} = "t"_{"min"}-("M"/"n")`

Example

`"19.79342min"="20min"-("31.958°"/"0.045rad/s")`

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Time of Perigee Passage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion)
L_perigee = t_min-(M/n)
This formula uses 4 Variables

Variables Used

Perigee Passage - (Measured in Second) - Perigee passage refers to the moment when a satellite reaches its closest point to Earth during its orbit.
Time in Minutes - (Measured in Second) - Time in Minutes is the time measurement in minutes which is equivalent to 60 seconds.
Mean Anomaly - (Measured in Radian) - Mean Anomaly is the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis.
Mean Motion - (Measured in Radian per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Time in Minutes: 20 Minute --> 1200 Second (Check conversion here)
Mean Anomaly: 31.958 Degree --> 0.557772322352243 Radian (Check conversion here)
Mean Motion: 0.045 Radian per Second --> 0.045 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_perigee = t_min-(M/n) --> 1200-(0.557772322352243/0.045)

Evaluating ... ...

L_perigee = 1187.60505950328

STEP 3: Convert Result to Output's Unit

1187.60505950328 Second -->19.7934176583881 Minute (Check conversion here)

FINAL ANSWER

19.7934176583881 ≈ 19.79342 Minute <-- Perigee Passage

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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]

Time of Perigee Passage Formula

Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion)
L_perigee = t_min-(M/n)

What is Orbital Plane?

An orbital plane is the flat, disk-shaped space that connects the center of the object being orbited with the center of the orbiting objects.

How to Calculate Time of Perigee Passage?

Time of Perigee Passage calculator uses Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion) to calculate 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 calculate Time of Perigee Passage using this online calculator? To use this online calculator for Time of Perigee Passage, enter Time in Minutes (t_min), Mean Anomaly (M) & Mean Motion (n) and hit the calculate button. Here is how the Time of Perigee Passage calculation can be explained with given input values -> 0.323526 = 1200-(0.557772322352243/0.045).

FAQ

What is Time of Perigee Passage?

The Time of Perigee Passage formula is defined as the time of the satellite passage through the closest approach to the earth and is represented as L_perigee = t_min-(M/n) or Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion). Time in Minutes is the time measurement in minutes which is equivalent to 60 seconds, Mean Anomaly is the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis & 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.

How to calculate Time of Perigee Passage?

The Time of Perigee Passage formula is defined as the time of the satellite passage through the closest approach to the earth is calculated using Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion). To calculate Time of Perigee Passage, you need Time in Minutes (t_min), Mean Anomaly (M) & Mean Motion (n). With our tool, you need to enter the respective value for Time in Minutes, Mean Anomaly & Mean Motion 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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