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Distance from Center of Earth to Center of Moon given Attractive Force Potentials Formula

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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). Check FAQs

r m = {({R M}^{2} \cdot f \cdot [Moon-M] \cdot \frac{P M}{V M})}^{\frac{1}{3}}

r_m - Distance from center of Earth to center of Moon?R_M - Mean Radius of the Earth?f - Universal Constant?P_M - Harmonic Polynomial Expansion Terms for Moon?V_M - Attractive Force Potentials for Moon?[Moon-M] - Moon mass?

Distance from Center of Earth to Center of Moon given Attractive Force Potentials Example

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Here is how the Distance from Center of Earth to Center of Moon given Attractive Force Potentials equation looks like with Values.

Here is how the Distance from Center of Earth to Center of Moon given Attractive Force Potentials equation looks like with Units.

Here is how the Distance from Center of Earth to Center of Moon given Attractive Force Potentials equation looks like.

371480.2511 = {(6371^{2} \cdot 2 \cdot 7.3E+22 \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

371480.2511km = {({6371km}^{2} \cdot 2 \cdot 7.3E+22kg \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

371480.2511 = {(6371^{2} \cdot 2 \cdot 7.3E+22 \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

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Distance from Center of Earth to Center of Moon given Attractive Force Potentials Solution

Follow our step by step solution on how to calculate Distance from Center of Earth to Center of Moon given Attractive Force Potentials?

FIRST Step Consider the formula

r m = {({R M}^{2} \cdot f \cdot [Moon-M] \cdot \frac{P M}{V M})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = {({6371km}^{2} \cdot 2 \cdot [Moon-M] \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r m = {({6371km}^{2} \cdot 2 \cdot 7.3E+22kg \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

Next Step Convert Units

∴

r m = {({6.4E+6m}^{2} \cdot 2 \cdot 7.3E+22kg \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = {({6.4E+6}^{2} \cdot 2 \cdot 7.3E+22 \cdot \frac{4.9E+6}{5.7E+17})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 371480251.070515m

Next Step Convert to Output's Unit

∴

r m = 371480.251070515km

LAST Step Rounding Answer

∴

r m = 371480.2511km

Distance from Center of Earth to Center of Moon given Attractive Force Potentials Formula Elements

Variables

Constants

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

Mean Radius of the Earth

Mean Radius of the Earth is defined as the arithmetic average of the Earth's equatorial and polar radii.

Symbol: R_M

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Formulas to find Mean Radius of the Earth

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

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

Moon mass

Moon mass represents the amount of matter contained within the Moon and is a key factor in gravitational interactions with Earth.

Symbol: [Moon-M]

Value: 7.3458E+22 kg

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 Mass of Moon given Attractive Force Potentials

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

How to Evaluate Distance from Center of Earth to Center of Moon given Attractive Force Potentials?

Distance from Center of Earth to Center of Moon given Attractive Force Potentials evaluator uses Distance from center of Earth to center of Moon = (Mean Radius of the Earth^2*Universal Constant*[Moon-M]*Harmonic Polynomial Expansion Terms for Moon/Attractive Force Potentials for Moon)^(1/3) to evaluate the Distance from center of Earth to center of Moon, The Distance from Center of Earth to Center of Moon given Attractive Force Potentials formula is referred to the average distance from the center of Earth to the center of the moon is 238,897 miles (384,467 kilometers), calculated using attractive force potentials. Distance from center of Earth to center of Moon is denoted by r_m symbol.

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

FAQs on Distance from Center of Earth to Center of Moon given Attractive Force Potentials

What is the formula to find Distance from Center of Earth to Center of Moon given Attractive Force Potentials?

The formula of Distance from Center of Earth to Center of Moon given Attractive Force Potentials is expressed as Distance from center of Earth to center of Moon = (Mean Radius of the Earth^2*Universal Constant*[Moon-M]*Harmonic Polynomial Expansion Terms for Moon/Attractive Force Potentials for Moon)^(1/3). Here is an example- 371.4803 = (6371000^2*2*[Moon-M]*4900000/5.7E+17)^(1/3).

How to calculate Distance from Center of Earth to Center of Moon given Attractive Force Potentials?

With Mean Radius of the Earth (R_M), Universal Constant (f), Harmonic Polynomial Expansion Terms for Moon (P_M) & Attractive Force Potentials for Moon (V_M) we can find Distance from Center of Earth to Center of Moon given Attractive Force Potentials using the formula - Distance from center of Earth to center of Moon = (Mean Radius of the Earth^2*Universal Constant*[Moon-M]*Harmonic Polynomial Expansion Terms for Moon/Attractive Force Potentials for Moon)^(1/3). This formula also uses Moon mass constant(s).

Can the Distance from Center of Earth to Center of Moon given Attractive Force Potentials be negative?

Yes, the Distance from Center of Earth to Center of Moon given Attractive Force Potentials, measured in Length can be negative.

Which unit is used to measure Distance from Center of Earth to Center of Moon given Attractive Force Potentials?

Distance from Center of Earth to Center of Moon given Attractive Force Potentials is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Distance from Center of Earth to Center of Moon given Attractive Force Potentials can be measured.

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Distance from Center of Earth to Center of Moon given Attractive Force Potentials Formula

Distance from Center of Earth to Center of Moon given Attractive Force Potentials Example

Distance from Center of Earth to Center of Moon given Attractive Force Potentials Solution

Distance from Center of Earth to Center of Moon given Attractive Force Potentials Formula Elements

Other formulas in Attractive Force Potentials category

How to Evaluate Distance from Center of Earth to Center of Moon given Attractive Force Potentials?

FAQs on Distance from Center of Earth to Center of Moon given Attractive Force Potentials

Variable Name