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Standard Gravitational Parameter Formula

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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. Check FAQs

μ std = [G.] \cdot (M 1)

μ_std - Standard Gravitational Parameter?M₁ - Mass of Orbital Body 1?[G.] - Gravitational constant?

Standard Gravitational Parameter Example

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Here is how the Standard Gravitational Parameter equation looks like with Values.

Here is how the Standard Gravitational Parameter equation looks like with Units.

Here is how the Standard Gravitational Parameter equation looks like.

4E+14 = 6.7E-11 \cdot (6E+24)

4E+14m³/s² = 6.7E-11 \cdot (6E+24kg)

4E+14 = 6.7E-11 \cdot (6E+24)

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Standard Gravitational Parameter Solution

Follow our step by step solution on how to calculate Standard Gravitational Parameter?

FIRST Step Consider the formula

μ std = [G.] \cdot (M 1)

Next Step Substitute values of Variables

∴

μ std = [G.] \cdot (6E+24kg)

Next Step Substitute values of Constants

∴

μ std = 6.7E-11 \cdot (6E+24kg)

Next Step Prepare to Evaluate

∴

μ std = 6.7E-11 \cdot (6E+24)

Next Step Evaluate

∴

μ std = 398442576000000m³/s²

LAST Step Rounding Answer

∴

μ std = 4E+14m³/s²

Standard Gravitational Parameter Formula Elements

Variables

Constants

Standard Gravitational Parameter

The Standard Gravitational Parameter of a celestial body is the product of the gravitational constant G and the mass M of the bodies.

Symbol: μ_std

Measurement: Gravitational ParameterUnit: m³/s²

Note: Value can be positive or negative.

Formulas to find Standard Gravitational Parameter

Mass of Orbital Body 1

Mass of Orbital Body 1 is the mass which has been carried by a particular orbital body.

Symbol: M₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Orbital Body 1

Gravitational constant

Gravitational constant is a fundamental constant in physics that appears in Newton's law of universal gravitation and Einstein's theory of general relativity.

Symbol: [G.]

Value: 6.67408E-11

Other formulas in Fundamental Parameters category

Go Rocket Mass Ratio

M R = e^{\frac{ΔV}{V e}}

Go Tsiolkovsky Rocket Equation

ΔV = I sp \cdot [g] \cdot \ln (\frac{M wet}{M dry})

Go Parameter of Orbit

p = \frac{h^{2}}{μ std}

Go Angular Momentum of Trajectory given Parameter of Orbit

h = \sqrt{p \cdot [GM.Earth]}

How to Evaluate Standard Gravitational Parameter?

Standard Gravitational Parameter evaluator uses Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1) to evaluate the Standard Gravitational Parameter, The Standard Gravitational Parameter formula is a constant parameter used in celestial mechanics to describe the gravitational field of a celestial body, it is defined as the product of the gravitational constant and the mass of the celestial body. Standard Gravitational Parameter is denoted by μ_std symbol.

How to evaluate Standard Gravitational Parameter using this online evaluator? To use this online evaluator for Standard Gravitational Parameter, enter Mass of Orbital Body 1 (M₁) and hit the calculate button.

FAQs on Standard Gravitational Parameter

What is the formula to find Standard Gravitational Parameter?

The formula of Standard Gravitational Parameter is expressed as Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1). Here is an example- 4E+14 = [G.]*(5.97E+24).

How to calculate Standard Gravitational Parameter?

With Mass of Orbital Body 1 (M₁) we can find Standard Gravitational Parameter using the formula - Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1). This formula also uses Gravitational constant .

Can the Standard Gravitational Parameter be negative?

Yes, the Standard Gravitational Parameter, measured in Gravitational Parameter can be negative.

Which unit is used to measure Standard Gravitational Parameter?

Standard Gravitational Parameter is usually measured using the Cubic Meter per Square Second[m³/s²] for Gravitational Parameter. are the few other units in which Standard Gravitational Parameter can be measured.

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