Anomalistic Period Calculator

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Satellite Orbital Characteristics

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✖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]

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✖The anomalistic period is the time that elapses between two passages of an object at its periapsis, the point of its closest approach to the attracting body.ⓘ Anomalistic Period [T_AP]

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Formula

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Anomalistic Period

Formula

`"T"_{"AP"} = (2*pi)/"n"`

Example

`"139.6263s"=(2*pi)/"0.045rad/s"`

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Anomalistic Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Anomalistic Period = (2*pi)/Mean Motion
T_AP = (2*pi)/n
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Anomalistic Period - (Measured in Second) - The anomalistic period is the time that elapses between two passages of an object at its periapsis, the point of its closest approach to the attracting body.
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

Mean Motion: 0.045 Radian per Second --> 0.045 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_AP = (2*pi)/n --> (2*pi)/0.045

Evaluating ... ...

T_AP = 139.626340159546

STEP 3: Convert Result to Output's Unit

139.626340159546 Second --> No Conversion Required

FINAL ANSWER

139.626340159546 ≈ 139.6263 Second <-- Anomalistic Period

(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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< 16 Satellite Orbital Characteristics Calculators

Position Vector

Go Position Vector = (Major Axis*(1-Eccentricity^2))/(1+Eccentricity*cos(True Anomaly))

Kepler's First Law

Go Eccentricity = sqrt((Semi Major Axis^2-Semi Minor Axis^2))/Semi Major Axis

Mean Anomaly

Go Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly)

True Anomaly

Go True Anomaly = Mean Anomaly+(2*Eccentricity*sin(Mean Anomaly))

Universal Time

Go Universal Time = (1/24)*(Time in Hour+(Time in Minutes/60)+(Time in Seconds/3600))

Reference Time in Julian Centuries

Go Reference Time = (Julian Day-Julian Day Reference)/Julian Century

Julian Day

Go Julian Day = (Reference Time*Julian Century)+Julian Day Reference

Julian Century

Go Julian Century = (Julian Day-Julian Day Reference)/Reference Time

Nominal Mean Motion

Go Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)

Mean Motion of Satellite

Go Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)

Local Sidereal Time

Go Local Sidereal Time = Greenwich Sidereal Time+East Longitude

Kepler's Third Law

Go Semi Major Axis = ([GM.Earth]/Mean Motion^2)^(1/3)

Range Vector

Go Range Vector = Satellite Radius Vector-[Earth-R]

Orbital Period of Satellite in Minutes

Go Orbital Period in Minutes = 2*pi/Mean Motion

Anomalistic Period

Go Anomalistic Period = (2*pi)/Mean Motion

Universal Time Degree

Go Universal Time Degree = (Universal Time*360)

Anomalistic Period Formula

Anomalistic Period = (2*pi)/Mean Motion
T_AP = (2*pi)/n

How long is an Anomalistic year?

The anomalistic year (365 days 6 hours 13 minutes 53 seconds) is the time between two passages of Earth through perihelion, the point in its orbit nearest the Sun.

How to Calculate Anomalistic Period?

Anomalistic Period calculator uses Anomalistic Period = (2*pi)/Mean Motion to calculate the Anomalistic Period, The Anomalistic Period formula is defined as the time between two successive perihelions (the point in a planet's orbit where it is closest to the Sun). Anomalistic Period is denoted by T_AP symbol.

How to calculate Anomalistic Period using this online calculator? To use this online calculator for Anomalistic Period, enter Mean Motion (n) and hit the calculate button. Here is how the Anomalistic Period calculation can be explained with given input values -> 139.6263 = (2*pi)/0.045.

FAQ

What is Anomalistic Period?

The Anomalistic Period formula is defined as the time between two successive perihelions (the point in a planet's orbit where it is closest to the Sun) and is represented as T_AP = (2*pi)/n or Anomalistic Period = (2*pi)/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.

How to calculate Anomalistic Period?

The Anomalistic Period formula is defined as the time between two successive perihelions (the point in a planet's orbit where it is closest to the Sun) is calculated using Anomalistic Period = (2*pi)/Mean Motion. To calculate Anomalistic Period, you need Mean Motion (n). With our tool, you need to enter the respective value for 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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