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

STEP 0: Pre-Calculation Summary
Formula Used
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)
rm = (RM^2*f*[Moon-M]*PM/VM)^(1/3)
This formula uses 1 Constants, 5 Variables
Constants Used
[Moon-M] - Moon mass Value Taken As 7.3458E+22
Variables Used
Distance from center of Earth to center of Moon - (Measured in Meter) - 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).
Mean Radius of the Earth - (Measured in Meter) - Mean Radius of the Earth is defined as the arithmetic average of the Earth's equatorial and polar radii.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Mean Radius of the Earth: 6371 Kilometer --> 6371000 Meter (Check conversion ​here)
Universal Constant: 2 --> No Conversion Required
Harmonic Polynomial Expansion Terms for Moon: 4900000 --> No Conversion Required
Attractive Force Potentials for Moon: 5.7E+17 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = (RM^2*f*[Moon-M]*PM/VM)^(1/3) --> (6371000^2*2*[Moon-M]*4900000/5.7E+17)^(1/3)
Evaluating ... ...
rm = 371480251.070515
STEP 3: Convert Result to Output's Unit
371480251.070515 Meter -->371480.251070515 Kilometer (Check conversion ​here)
FINAL ANSWER
371480.251070515 371480.3 Kilometer <-- Distance from center of Earth to center of Moon
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Attractive Force Potentials Calculators

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​ LaTeX ​ Go Attractive Force Potentials for Moon = (Universal Constant*Mass of the Moon)/Distance of Point
Mass of Moon given Attractive Force Potentials
​ LaTeX ​ Go Mass of the Moon = (Attractive Force Potentials for Moon*Distance of Point)/Universal Constant
Attractive Force Potentials per unit Mass for Sun
​ LaTeX ​ Go Attractive Force Potentials for Sun = (Universal Constant*Mass of the Sun)/Distance of Point
Mass of Sun given Attractive Force Potentials
​ LaTeX ​ Go Mass of the Sun = (Attractive Force Potentials for Sun*Distance of Point)/Universal Constant

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

​LaTeX ​Go
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)
rm = (RM^2*f*[Moon-M]*PM/VM)^(1/3)

What do you mean by Tidal Force?

The Tidal Force is a gravitational effect that stretches a body along the line towards the center of mass of another body due to a gradient (difference in strength) in gravitational field from the other body; it is responsible for diverse phenomena, including tides, tidal locking, breaking apart of celestial bodies.

How to Calculate 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 calculator 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 calculate 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 rm symbol.

How to calculate Distance from Center of Earth to Center of Moon given Attractive Force Potentials using this online calculator? To use this online calculator for Distance from Center of Earth to Center of Moon given Attractive Force Potentials, enter Mean Radius of the Earth (RM), Universal Constant (f), Harmonic Polynomial Expansion Terms for Moon (PM) & Attractive Force Potentials for Moon (VM) and hit the calculate button. Here is how the Distance from Center of Earth to Center of Moon given Attractive Force Potentials calculation can be explained with given input values -> 371.4803 = (6371000^2*2*[Moon-M]*4900000/5.7E+17)^(1/3).

FAQ

What is Distance from Center of Earth to Center of Moon given Attractive Force Potentials?
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 and is represented as rm = (RM^2*f*[Moon-M]*PM/VM)^(1/3) or 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). Mean Radius of the Earth is defined as the arithmetic average of the Earth's equatorial and polar radii, 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, 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 & 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.
How to calculate Distance from Center of Earth to Center of Moon given Attractive Force Potentials?
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 is calculated using 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 calculate Distance from Center of Earth to Center of Moon given Attractive Force Potentials, you need Mean Radius of the Earth (RM), Universal Constant (f), Harmonic Polynomial Expansion Terms for Moon (PM) & Attractive Force Potentials for Moon (VM). With our tool, you need to enter the respective value for Mean Radius of the Earth, Universal Constant, Harmonic Polynomial Expansion Terms for Moon & Attractive Force Potentials for Moon 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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