How To Calculate Sun Weight

Sun Weight Formula:

\[ SW = \frac{G \times M_p \times r^2}{G \times R^2} \]

Gravitational Constant (G):

m³ kg⁻¹ s⁻²

Planet Mass (M_p):

Orbit Radius (r):

Sun Radius (R):

Sun Weight (SW):

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1. What is the Sun Weight Calculation?

The Sun Weight calculation estimates the equivalent weight of an object on the Sun's surface using Newton's law of universal gravitation. It provides a theoretical weight value based on the Sun's gravitational pull.

2. How Does the Calculator Work?

The calculator uses the Sun Weight formula:

\[ SW = \frac{G \times M_p \times r^2}{G \times R^2} \]

Where:

\( G \) — Gravitational constant (6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻²)
\( M_p \) — Mass of the planet or object (kg)
\( r \) — Orbit radius (m)
\( R \) — Sun's radius (m)

Explanation: The formula calculates the equivalent weight on the Sun by comparing gravitational forces between the planetary orbit and the Sun's surface.

3. Importance of Sun Weight Calculation

Details: This calculation helps in understanding gravitational forces in celestial mechanics and provides insights into how objects would weigh under the Sun's extreme gravity conditions.

4. Using the Calculator

Tips: Enter gravitational constant, planet mass, orbit radius, and Sun radius. All values must be positive numbers. Use scientific notation for very large or very small values.

5. Frequently Asked Questions (FAQ)

Q1: Why is the gravitational constant included in both numerator and denominator?
A: The gravitational constant cancels out in the final calculation, but it's included in the formula to show the complete physical relationship based on Newton's law.

Q2: What is the typical value for the Sun's radius?
A: The Sun's radius is approximately 696,340,000 meters (about 696,340 km).

Q3: Can this calculation be used for other stars?
A: Yes, the same principle can be applied to calculate equivalent weights on other stars by substituting the appropriate stellar radius.

Q4: How accurate is this calculation?
A: This provides a theoretical estimate based on Newtonian physics. For precise astronomical calculations, relativistic effects might need to be considered.

Q5: What units should be used for input values?
A: Use SI units: meters for distances, kilograms for mass, and m³ kg⁻¹ s⁻² for the gravitational constant for consistent results.