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, 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 [6,371 km] in terms of Attractive Force Potentials per unit Mass for the Moon.
Universal Constant - Universal Constant in terms of Radius of the Earth and Acceleration of Gravity.
Harmonic Polynomial Expansion Terms for Moon - Harmonic Polynomial Expansion terms for Moon that collectively describe the relative positions of the earth and moon.
Attractive Force Potentials for Moon - Attractive Force Potentials for Moon per unit Mass for the Sun or the Moon.
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)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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13 Attractive Force Potentials Calculators

Moon's Tide-generating attractive Force Potential
Go Attractive Force Potentials for Moon = Universal Constant*Mass of the Moon*((1/Distance of point)-(1/Distance from center of Earth to center of Moon)-([Earth-R]*cos(Angle made by the distance of point)/Distance from center of Earth to center of Moon^2))
Tide-generating attractive Force Potential for Sun
Go Attractive Force Potentials for Sun = (Universal Constant*Mass of the Sun)*((1/Distance of point)-(1/Distance)-(Mean Radius of the Earth*cos(Angle made by the distance of point)/Distance^2))
Mean radius of earth given attractive force potentials per unit mass for moon
Go Mean Radius of the Earth = sqrt((Attractive Force Potentials for Moon*Distance from center of Earth to center of Moon^3)/(Universal Constant*Mass of the Moon*Harmonic Polynomial Expansion Terms for Moon))
Attractive Force Potentials per unit Mass for Moon given Harmonic Polynomial Expansion
Go Attractive Force Potentials for Moon = (Universal Constant*Mass of the Moon)*(Mean Radius of the Earth^2/Distance from center of Earth to center of Moon^3)*Harmonic Polynomial Expansion Terms for Moon
Distance from center of earth to center of moon given attractive force potentials
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)
Mean radius of earth given attractive force potentials per unit mass for Sun
Go Mean Radius of the Earth = sqrt((Attractive Force Potentials for Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun))
Attractive Force Potentials per unit Mass for Sun given Harmonic Polynomial Expansion
Go Attractive Force Potentials for Sun = Universal Constant*Mass of the Sun*(Mean Radius of the Earth^2/Distance^3)*Harmonic Polynomial Expansion Terms for Sun
Mass of Moon given attractive force potentials with harmonic polynomial expansion
Go 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)
Mass of Sun given attractive force potentials with harmonic polynomial expansion
Go Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun)
Attractive Force Potentials per unit Mass for Moon
Go Attractive Force Potentials for Moon = (Universal Constant*Mass of the Moon)/Distance of point
Mass of Moon for Given Attractive Force Potentials
Go Mass of the Moon = (Attractive Force Potentials for Moon*Distance of point)/Universal Constant
Attractive Force Potentials per unit Mass for Sun
Go Attractive Force Potentials for Sun = (Universal Constant*Mass of the Sun)/Distance of point
Mass of Sun for Given Attractive Force Potentials
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

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 is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun. 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 is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun 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 [6,371 km] in terms of Attractive Force Potentials per unit Mass for the Moon, Universal Constant in terms of Radius of the Earth and Acceleration of Gravity, Harmonic Polynomial Expansion terms for Moon that collectively describe the relative positions of the earth and moon & Attractive Force Potentials for Moon per unit Mass for the Sun or the Moon.
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 is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun 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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