Standard Gravitational Parameter Calculator

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The Two Body Problem

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Fundamental Parameters

✖Mass of Orbital Body 1 is the mass which has been carried by a particular orbital body.ⓘ Mass of Orbital Body 1 [M₁]

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✖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]

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Formula

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Standard Gravitational Parameter

Formula

`"μ" = "[G.]"*("M"_{"1"})`

Example

`"4E^14m³/s²"="[G.]"*("5.97E24kg")`

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Standard Gravitational Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1)
μ = [G.]*(M₁)
This formula uses 1 Constants, 2 Variables

Constants Used

[G.] - Gravitational constant Value Taken As 6.67408E-11

Variables Used

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.
Mass of Orbital Body 1 - (Measured in Kilogram) - Mass of Orbital Body 1 is the mass which has been carried by a particular orbital body.

STEP 1: Convert Input(s) to Base Unit

Mass of Orbital Body 1: 5.97E+24 Kilogram --> 5.97E+24 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = [G.]*(M₁) --> [G.]*(5.97E+24)

Evaluating ... ...

μ = 398442576000000

STEP 3: Convert Result to Output's Unit

398442576000000 Cubic Meter per Square Second --> No Conversion Required

FINAL ANSWER

398442576000000 ≈ 4E+14 Cubic Meter per Square Second <-- Standard Gravitational Parameter

(Calculation completed in 00.020 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)

Standard Gravitational Parameter Formula

Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1)
μ = [G.]*(M₁)

What are the gravitational parameters of Earth?

Calculating the gravity at Earth's surface using the average radius of Earth (6,371 kilometres (3,959 mi)), the experimentally determined value of the gravitational constant, and the Earth mass of 5.9722 ×10^24 kg gives an acceleration of 9.8203 m/s^2, slightly greater than the standard gravity of 9.80665 m/s^2.

How to Calculate Standard Gravitational Parameter?

Standard Gravitational Parameter calculator uses Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1) to calculate the Standard Gravitational Parameter, The Standard Gravitational Parameter formula is defined as the product of the gravitational constant G and the mass M of the bodies. Standard Gravitational Parameter is denoted by μ symbol.

How to calculate Standard Gravitational Parameter using this online calculator? To use this online calculator for Standard Gravitational Parameter, enter Mass of Orbital Body 1 (M₁) and hit the calculate button. Here is how the Standard Gravitational Parameter calculation can be explained with given input values -> 4E+14 = [G.]*(5.97E+24).

FAQ

What is Standard Gravitational Parameter?

The Standard Gravitational Parameter formula is defined as the product of the gravitational constant G and the mass M of the bodies and is represented as μ = [G.]*(M₁) or Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1). Mass of Orbital Body 1 is the mass which has been carried by a particular orbital body.

How to calculate Standard Gravitational Parameter?

The Standard Gravitational Parameter formula is defined as the product of the gravitational constant G and the mass M of the bodies is calculated using Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1). To calculate Standard Gravitational Parameter, you need Mass of Orbital Body 1 (M₁). With our tool, you need to enter the respective value for Mass of Orbital Body 1 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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