Parameter of Orbit Calculator

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✖Angular Momentum of Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.ⓘ Angular Momentum of Orbit [h]			+10% -10%
✖The Standard Gravitational Parameter of a celestial body is the product of the gravitational constant G and the mass M of the bodies.ⓘ Standard Gravitational Parameter [μ]			+10% -10%

✖Parameter of Orbit is defined as the half of chord length through the center of attraction perpendicular to the apse line.ⓘ Parameter of Orbit [p]

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Formula

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Parameter of Orbit

Formula

`"p" = "h"^2/"μ"`

Example

`"10816.09km"=("65611km²/s")^2/"3.98E14m³/s²"`

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Parameter of Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter
p = h^2/μ
This formula uses 3 Variables

Variables Used

Parameter of Orbit - (Measured in Meter) - Parameter of Orbit is defined as the half of chord length through the center of attraction perpendicular to the apse line.
Angular Momentum of Orbit - (Measured in Squaer Meter per Second) - Angular Momentum of Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.
Standard Gravitational Parameter - (Measured in Cubic Meter per Square Second) - The Standard 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

Angular Momentum of Orbit: 65611 Square Kilometer per Second --> 65611000000 Squaer Meter per Second (Check conversion here)
Standard Gravitational Parameter: 398000000000000 Cubic Meter per Square Second --> 398000000000000 Cubic Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = h^2/μ --> 65611000000^2/398000000000000

Evaluating ... ...

p = 10816088.7462312

STEP 3: Convert Result to Output's Unit

10816088.7462312 Meter -->10816.0887462312 Kilometer (Check conversion here)

FINAL ANSWER

10816.0887462312 ≈ 10816.09 Kilometer <-- Parameter of Orbit

(Calculation completed in 00.004 seconds)

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Created by Karavadiya Divykumar Rasikbhai

Hindustan Institute of Technology and Science (HITS), Chennai, Indian

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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)

Parameter of Orbit Formula

Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter
p = h^2/μ

Why Parameter of Orbit is also known as Semi-latus rectum?

The latus rectum is the chord through the center of attraction perpendicular to the apse line. By symmetry, the center of attraction divides the latus rectum into two equal parts, each of length p, known historically as the semi-latus rectum. In modern parlance, p is called the parameter of the orbit.

How to Calculate Parameter of Orbit?

Parameter of Orbit calculator uses Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter to calculate the Parameter of Orbit, The Parameter of Orbit formula is defined as half of chord length through the center of attraction perpendicular to the apse line. Parameter of Orbit is denoted by p symbol.

How to calculate Parameter of Orbit using this online calculator? To use this online calculator for Parameter of Orbit, enter Angular Momentum of Orbit (h) & Standard Gravitational Parameter (μ) and hit the calculate button. Here is how the Parameter of Orbit calculation can be explained with given input values -> 10.81609 = 65611000000^2/398000000000000.

FAQ

What is Parameter of Orbit?

The Parameter of Orbit formula is defined as half of chord length through the center of attraction perpendicular to the apse line and is represented as p = h^2/μ or Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter. Angular Momentum of Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star & The Standard Gravitational Parameter of a celestial body is the product of the gravitational constant G and the mass M of the bodies.

How to calculate Parameter of Orbit?

The Parameter of Orbit formula is defined as half of chord length through the center of attraction perpendicular to the apse line is calculated using Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter. To calculate Parameter of Orbit, you need Angular Momentum of Orbit (h) & Standard Gravitational Parameter (μ). With our tool, you need to enter the respective value for Angular Momentum of Orbit & Standard 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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