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Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Formula

GoMass of Moon given Attractive Force Potentials Formula

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Mass of the Moon refers to the total quantity of matter contained in the Moon, which is a measure of its inertia and gravitational influence [7.34767309 × 10^22 kilograms]. Check FAQs

M = \frac{V M \cdot {r m}^{3}}{{[Earth-R]}^{2} \cdot f \cdot P M}

M - Mass of the Moon?V_M - Attractive Force Potentials for Moon?r_m - Distance from center of Earth to center of Moon?f - Universal Constant?P_M - Harmonic Polynomial Expansion Terms for Moon?[Earth-R] - Earth mean radius?

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Example

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Here is how the Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion equation looks like with Units.

Here is how the Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion equation looks like.

8.1E+22 = \frac{5.7E+17 \cdot 384467^{3}}{{6371.0088}^{2} \cdot 2 \cdot 4.9E+6}

8.1E+22kg = \frac{5.7E+17 \cdot {384467km}^{3}}{{6371.0088km}^{2} \cdot 2 \cdot 4.9E+6}

8.1E+22 = \frac{5.7E+17 \cdot 384467^{3}}{{6371.0088}^{2} \cdot 2 \cdot 4.9E+6}

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Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Solution

Follow our step by step solution on how to calculate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

FIRST Step Consider the formula

M = \frac{V M \cdot {r m}^{3}}{{[Earth-R]}^{2} \cdot f \cdot P M}

Next Step Substitute values of Variables

∴

M = \frac{5.7E+17 \cdot {384467km}^{3}}{{[Earth-R]}^{2} \cdot 2 \cdot 4.9E+6}

Next Step Substitute values of Constants

∴

M = \frac{5.7E+17 \cdot {384467km}^{3}}{{6371.0088km}^{2} \cdot 2 \cdot 4.9E+6}

Next Step Convert Units

∴

M = \frac{5.7E+17 \cdot {3.8E+8m}^{3}}{{6371.0088km}^{2} \cdot 2 \cdot 4.9E+6}

Next Step Prepare to Evaluate

∴

M = \frac{5.7E+17 \cdot {3.8E+8}^{3}}{{6371.0088}^{2} \cdot 2 \cdot 4.9E+6}

Next Step Evaluate

∴

M = 8.14347142387362E+22kg

LAST Step Rounding Answer

∴

M = 8.1E+22kg

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Formula Elements

Variables

Constants

Mass of the Moon

Mass of the Moon refers to the total quantity of matter contained in the Moon, which is a measure of its inertia and gravitational influence [7.34767309 × 10^22 kilograms].

Symbol: M

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of the Moon

Attractive Force Potentials for Moon

Attractive Force Potentials for Moon refers to the gravitational force exerted by the Moon on other objects, such as the Earth or objects on the Earth's surface.

Symbol: V_M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Attractive Force Potentials for Moon

Distance from center of Earth to center of Moon

Distance from center of Earth to center of Moon referred to the average distance from the center of Earth to the center of the moon is 238,897 miles (384,467 kilometers).

Symbol: r_m

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Formulas to find Distance from center of Earth to center of Moon

Universal Constant

Universal Constant is a physical constant that is thought to be universal in its application in terms of Radius of the Earth and Acceleration of Gravity.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Universal Constant

Harmonic Polynomial Expansion Terms for Moon

Harmonic Polynomial Expansion Terms for Moon refers to the expansions take into account the deviations from a perfect sphere by considering the gravitational field as a series of spherical harmonics.

Symbol: P_M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Harmonic Polynomial Expansion Terms for Moon

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

Other Formulas to find Mass of the Moon

Go Mass of Moon given Attractive Force Potentials

M = \frac{V M \cdot r S/MX}{f}

Other formulas in Attractive Force Potentials category

Go Attractive Force Potentials per unit Mass for Moon

V M = \frac{f \cdot M}{r S/MX}

Go Attractive Force Potentials per unit Mass for Sun

V s = \frac{f \cdot M sun}{r S/MX}

Go Mass of Sun given Attractive Force Potentials

M sun = \frac{V s \cdot r S/MX}{f}

Go Moon's Tide-generating Attractive Force Potential

V M = f \cdot M \cdot ((\frac{1}{r S/MX}) - (\frac{1}{r m}) - ([Earth-R] \cdot \frac{\cos (θ m/s)}{{r m}^{2}}))

How to Evaluate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion evaluator uses Mass of the Moon = (Attractive Force Potentials for Moon*Distance from center of Earth to center of Moon^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Moon) to evaluate the Mass of the Moon, The Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion formula is defined as the total quantity of matter contained in the Moon, which is a measure of its inertia and gravitational influence [7.34767309 × 10^22 kilograms]. Mass of the Moon is denoted by M symbol.

How to evaluate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion using this online evaluator? To use this online evaluator for Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion, enter Attractive Force Potentials for Moon (V_M), Distance from center of Earth to center of Moon (r_m), Universal Constant (f) & Harmonic Polynomial Expansion Terms for Moon (P_M) and hit the calculate button.

FAQs on Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion

What is the formula to find Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

The formula of Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion is expressed as Mass of the Moon = (Attractive Force Potentials for Moon*Distance from center of Earth to center of Moon^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Moon). Here is an example- 8.1E+22 = (5.7E+17*384467000^3)/([Earth-R]^2*2*4900000).

How to calculate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

With Attractive Force Potentials for Moon (V_M), Distance from center of Earth to center of Moon (r_m), Universal Constant (f) & Harmonic Polynomial Expansion Terms for Moon (P_M) we can find Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion using the formula - Mass of the Moon = (Attractive Force Potentials for Moon*Distance from center of Earth to center of Moon^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Moon). This formula also uses Earth mean radius constant(s).

What are the other ways to Calculate Mass of the Moon?

Here are the different ways to Calculate Mass of the Moon-

Mass of the Moon=(Attractive Force Potentials for Moon*Distance of Point)/Universal Constant

Can the Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion be negative?

Yes, the Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion, measured in Weight can be negative.

Which unit is used to measure Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion can be measured.

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Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Formula

​GoMass of Moon given Attractive Force Potentials Formula

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Example

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Solution

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion Formula Elements

Other Formulas to find Mass of the Moon

Other formulas in Attractive Force Potentials category

How to Evaluate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

FAQs on Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion

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GoMass of Moon given Attractive Force Potentials Formula