Mass of Sun given attractive force potentials with harmonic polynomial expansion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun)
Msun = (Vs*rs^3)/([Earth-R]^2*f*Ps)
This formula uses 1 Constants, 5 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
Variables Used
Mass of the Sun - (Measured in Kilogram) - Mass of the Sun [1.989 × 10^30 kg] about 333,000 times the mass of the Earth.
Attractive Force Potentials for Sun - The Attractive Force Potentials for sun per unit mass of the Sun.
Distance - (Measured in Meter) - Distance from center of Earth to center of Sun. if the average radius of the Earth's orbit is 93 million miles (150 million km) then the radius of the Sun's counter orbit is about 280 miles (450 km).
Universal Constant - Universal Constant in terms of Radius of the Earth and Acceleration of Gravity.
Harmonic Polynomial Expansion Terms for Sun - Harmonic Polynomial Expansion Terms for Sun that collectively describe the relative positions of the earth, moon, and sun.
STEP 1: Convert Input(s) to Base Unit
Attractive Force Potentials for Sun: 1.6E+25 --> No Conversion Required
Distance: 150000000 Kilometer --> 150000000000 Meter (Check conversion here)
Universal Constant: 2 --> No Conversion Required
Harmonic Polynomial Expansion Terms for Sun: 300000000000000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Msun = (Vs*rs^3)/([Earth-R]^2*f*Ps) --> (1.6E+25*150000000000^3)/([Earth-R]^2*2*300000000000000)
Evaluating ... ...
Msun = 2.21730838599745E+30
STEP 3: Convert Result to Output's Unit
2.21730838599745E+30 Kilogram --> No Conversion Required
FINAL ANSWER
2.21730838599745E+30 2.2E+30 Kilogram <-- Mass of the Sun
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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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

Mass of Sun given attractive force potentials with harmonic polynomial expansion Formula

Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun)
Msun = (Vs*rs^3)/([Earth-R]^2*f*Ps)

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 Sun given attractive force potentials with harmonic polynomial expansion?

Mass of Sun given attractive force potentials with harmonic polynomial expansion calculator uses Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun) to calculate the Mass of the Sun, The Mass of Sun given attractive force potentials with harmonic polynomial expansion is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun. Mass of the Sun is denoted by Msun symbol.

How to calculate Mass of Sun given attractive force potentials with harmonic polynomial expansion using this online calculator? To use this online calculator for Mass of Sun given attractive force potentials with harmonic polynomial expansion, enter Attractive Force Potentials for Sun (Vs), Distance (rs), Universal Constant (f) & Harmonic Polynomial Expansion Terms for Sun (Ps) and hit the calculate button. Here is how the Mass of Sun given attractive force potentials with harmonic polynomial expansion calculation can be explained with given input values -> 2.2E+30 = (1.6E+25*150000000000^3)/([Earth-R]^2*2*300000000000000).

FAQ

What is Mass of Sun given attractive force potentials with harmonic polynomial expansion?
The Mass of Sun given attractive force potentials with harmonic polynomial expansion is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun and is represented as Msun = (Vs*rs^3)/([Earth-R]^2*f*Ps) or Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun). The Attractive Force Potentials for sun per unit mass of the Sun, Distance from center of Earth to center of Sun. if the average radius of the Earth's orbit is 93 million miles (150 million km) then the radius of the Sun's counter orbit is about 280 miles (450 km), Universal Constant in terms of Radius of the Earth and Acceleration of Gravity & Harmonic Polynomial Expansion Terms for Sun that collectively describe the relative positions of the earth, moon, and sun.
How to calculate Mass of Sun given attractive force potentials with harmonic polynomial expansion?
The Mass of Sun given attractive force potentials with harmonic polynomial expansion is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun is calculated using Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun). To calculate Mass of Sun given attractive force potentials with harmonic polynomial expansion, you need Attractive Force Potentials for Sun (Vs), Distance (rs), Universal Constant (f) & Harmonic Polynomial Expansion Terms for Sun (Ps). With our tool, you need to enter the respective value for Attractive Force Potentials for Sun, Distance, Universal Constant & Harmonic Polynomial Expansion Terms for Sun 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 Sun?
In this formula, Mass of the Sun uses Attractive Force Potentials for Sun, Distance, Universal Constant & Harmonic Polynomial Expansion Terms for Sun. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mass of the Sun = (Attractive Force Potentials for Sun*Distance of point)/Universal Constant
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