Semi Major Axis of Phasing Ellipse Calculator

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The Two Body Problem

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Fundamental Parameters

✖The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.ⓘ Number of Periods [n]			+10% -10%
✖Gravitational Parameter of a celestial body is the product of the gravitational constant G and the mass M of the bodies.ⓘ Gravitational Parameter [μ]			+10% -10%

✖The Semi Major Axis of Ellipse value is denoted by the symbol a.ⓘ Semi Major Axis of Phasing Ellipse [a]

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Formula

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Semi Major Axis of Phasing Ellipse

Formula

`"a" = (("n"*"μ"^0.5)/(2*pi))^(2/3)`

Example

`"34.30935m"=(("2"*("398600")^0.5)/(2*pi))^(2/3)`

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Semi Major Axis of Phasing Ellipse Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3)
a = ((n*μ^0.5)/(2*pi))^(2/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Semi Major Axis of Ellipse - (Measured in Meter) - The Semi Major Axis of Ellipse value is denoted by the symbol a.
Number of Periods - The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.
Gravitational Parameter - Gravitational Parameter of a celestial body is the product of the gravitational constant G and the mass M of the bodies.

STEP 1: Convert Input(s) to Base Unit

Number of Periods: 2 --> No Conversion Required
Gravitational Parameter: 398600 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ((n*μ^0.5)/(2*pi))^(2/3) --> ((2*398600^0.5)/(2*pi))^(2/3)

Evaluating ... ...

a = 34.3093520554891

STEP 3: Convert Result to Output's Unit

34.3093520554891 Meter --> No Conversion Required

FINAL ANSWER

34.3093520554891 ≈ 34.30935 Meter <-- Semi Major Axis of Ellipse

(Calculation completed in 00.006 seconds)

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Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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< 8 Fundamental Parameters Calculators

Tsiolkovsky Rocket Equation

Go Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)

Radius of Sphere of Influence( Black Hole)

Go Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2

Semi Major Axis of Phasing Ellipse

Go Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3)

Radius of Sphere of Influence

Go Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5)

Angular Momentum of Trajectory given Parameter of Orbit

Go Angular Momentum of Orbit = sqrt(Parameter of Orbit*[GM.Earth])

Parameter of Orbit

Go Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter

Rocket Mass Ratio

Go Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity)

Standard Gravitational Parameter

Go Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1)

Semi Major Axis of Phasing Ellipse Formula

Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3)
a = ((n*μ^0.5)/(2*pi))^(2/3)

What is orbit phasing?

Orbit phasing is the adjustment of the time-position of spacecraft along its orbit, usually described as adjusting the orbiting spacecraft's true anomaly.

How to Calculate Semi Major Axis of Phasing Ellipse?

Semi Major Axis of Phasing Ellipse calculator uses Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3) to calculate the Semi Major Axis of Ellipse, Semi Major Axis of Phasing Ellipse is defined as half axis of the phasing orbit with a period selected to return the spacecraft to the main orbit within a specified time. Semi Major Axis of Ellipse is denoted by a symbol.

How to calculate Semi Major Axis of Phasing Ellipse using this online calculator? To use this online calculator for Semi Major Axis of Phasing Ellipse, enter Number of Periods (n) & Gravitational Parameter (μ) and hit the calculate button. Here is how the Semi Major Axis of Phasing Ellipse calculation can be explained with given input values -> 34.30935 = ((2*398600^0.5)/(2*pi))^(2/3).

FAQ

What is Semi Major Axis of Phasing Ellipse?

Semi Major Axis of Phasing Ellipse is defined as half axis of the phasing orbit with a period selected to return the spacecraft to the main orbit within a specified time and is represented as a = ((n*μ^0.5)/(2*pi))^(2/3) or Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3). The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate & Gravitational Parameter of a celestial body is the product of the gravitational constant G and the mass M of the bodies.

How to calculate Semi Major Axis of Phasing Ellipse?

Semi Major Axis of Phasing Ellipse is defined as half axis of the phasing orbit with a period selected to return the spacecraft to the main orbit within a specified time is calculated using Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3). To calculate Semi Major Axis of Phasing Ellipse, you need Number of Periods (n) & Gravitational Parameter (μ). With our tool, you need to enter the respective value for Number of Periods & Gravitational Parameter 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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