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

✖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.ⓘ Attractive Force Potentials for Moon [V_M]			+10% -10%
✖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).ⓘ Distance from center of Earth to center of Moon [r_m]			+10% -10%
✖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.ⓘ Universal Constant [f]			+10% -10%
✖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.ⓘ Harmonic Polynomial Expansion Terms for Moon [P_M]			+10% -10%

✖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].ⓘ Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion [M]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Attractive Force Potentials Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
M = (V_M*r_m^3)/([Earth-R]^2*f*P_M)
This formula uses 1 Constants, 5 Variables

Constants Used

[Earth-R] - Earth mean radius Value Taken As 6371.0088

Variables Used

Mass of the Moon - (Measured in Kilogram) - 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].
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.
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).
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.

STEP 1: Convert Input(s) to Base Unit

Attractive Force Potentials for Moon: 5.7E+17 --> No Conversion Required
Distance from center of Earth to center of Moon: 384467 Kilometer --> 384467000 Meter (Check conversion here)
Universal Constant: 2 --> No Conversion Required
Harmonic Polynomial Expansion Terms for Moon: 4900000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (V_M*r_m^3)/([Earth-R]^2*f*P_M) --> (5.7E+17*384467000^3)/([Earth-R]^2*2*4900000)

Evaluating ... ...

M = 8.14347142387362E+22

STEP 3: Convert Result to Output's Unit

8.14347142387362E+22 Kilogram --> No Conversion Required

FINAL ANSWER

8.14347142387362E+22 ≈ 8.1E+22 Kilogram <-- Mass of the Moon

(Calculation completed in 00.021 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Levels and Long Waves » Astronomical Tides » Attractive Force Potentials » Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Attractive Force Potentials Calculators

Attractive Force Potentials per unit Mass for Moon

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

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

LaTeX Go

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

Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion calculator 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 calculate 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 calculate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion using this online calculator? To use this online calculator 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. Here is how the Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion calculation can be explained with given input values -> 8.1E+22 = (5.7E+17*384467000^3)/([Earth-R]^2*2*4900000).

FAQ

What is Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion?

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] and is represented as M = (V_M*r_m^3)/([Earth-R]^2*f*P_M) or 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). 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, 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), 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.

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

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] is calculated using 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 calculate Mass of Moon given Attractive Force Potentials with Harmonic Polynomial Expansion, you need 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). With our tool, you need to enter the respective value for Attractive Force Potentials for Moon, Distance from center of Earth to center of Moon, Universal Constant & Harmonic Polynomial Expansion Terms for Moon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mass of the Moon?

In this formula, Mass of the Moon uses Attractive Force Potentials for Moon, Distance from center of Earth to center of Moon, Universal Constant & Harmonic Polynomial Expansion Terms for Moon. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search