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Distance from center of Earth to center of Sun given Attractive Force Potentials Formula

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Distance from the center of the Earth to the center of the Sun is called an astronomical unit (AU). One astronomical unit is approximately 149,597,870.7 kilometers. Check FAQs

r s = {(\frac{{R M}^{2} \cdot f \cdot M sun \cdot P s}{V s})}^{\frac{1}{3}}

r_s - Distance?R_M - Mean Radius of the Earth?f - Universal Constant?M_sun - Mass of the Sun?P_s - Harmonic Polynomial Expansion Terms for Sun?V_s - Attractive Force Potentials for Sun?

Distance from center of Earth to center of Sun given Attractive Force Potentials Example

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

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

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

1.4E+8 = {(\frac{6371^{2} \cdot 2 \cdot 2E+30 \cdot 3E+14}{1.6E+25})}^{\frac{1}{3}}

1.4E+8km = {(\frac{{6371km}^{2} \cdot 2 \cdot 2E+30kg \cdot 3E+14}{1.6E+25})}^{\frac{1}{3}}

1.4E+8 = {(\frac{6371^{2} \cdot 2 \cdot 2E+30 \cdot 3E+14}{1.6E+25})}^{\frac{1}{3}}

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Distance from center of Earth to center of Sun given Attractive Force Potentials Solution

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

FIRST Step Consider the formula

r s = {(\frac{{R M}^{2} \cdot f \cdot M sun \cdot P s}{V s})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r s = {(\frac{{6371km}^{2} \cdot 2 \cdot 2E+30kg \cdot 3E+14}{1.6E+25})}^{\frac{1}{3}}

Next Step Convert Units

∴

r s = {(\frac{{6.4E+6m}^{2} \cdot 2 \cdot 2E+30kg \cdot 3E+14}{1.6E+25})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r s = {(\frac{{6.4E+6}^{2} \cdot 2 \cdot 2E+30 \cdot 3E+14}{1.6E+25})}^{\frac{1}{3}}

Next Step Evaluate

∴

r s = 144663983694.005m

Next Step Convert to Output's Unit

∴

r s = 144663983.694005km

LAST Step Rounding Answer

∴

r s = 1.4E+8km

Distance from center of Earth to center of Sun given Attractive Force Potentials Formula Elements

Variables

Distance

Distance from the center of the Earth to the center of the Sun is called an astronomical unit (AU). One astronomical unit is approximately 149,597,870.7 kilometers.

Symbol: r_s

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Distance

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