Star Force Calculator
This calculator helps determine the gravitational force between two celestial bodies. The gravitational force is calculated using Newton's Law of Universal Gravitation.
Result:
Understanding Star Force (Gravitational Force)
The force between any two objects with mass is an attractive force that follows Newton's Law of Universal Gravitation. This law is fundamental to understanding the motion of planets, stars, and galaxies.
The Formula:
The formula used in this calculator is:
F = G * (m1 * m2) / r²
- F represents the gravitational force between the two objects (measured in Newtons, N).
- G is the gravitational constant, approximately 6.674 × 10⁻¹¹ N⋅m²/kg². This is a fundamental constant of nature.
- m1 is the mass of the first celestial body (measured in kilograms, kg).
- m2 is the mass of the second celestial body (measured in kilograms, kg).
- r is the distance between the centers of the two celestial bodies (measured in meters, m).
How to Use the Calculator:
- Enter the mass of the first celestial body in kilograms. For example, the Sun's mass is approximately 1.989 × 10³⁰ kg.
- Enter the mass of the second celestial body in kilograms. For example, the Earth's mass is approximately 5.972 × 10²⁴ kg.
- Enter the distance between the centers of the two celestial bodies in meters. For example, the average distance between the Earth and the Sun is about 1.496 × 10¹¹ meters.
- Click "Calculate Force" to see the resulting gravitational force in Newtons.
Example Calculation:
Let's calculate the gravitational force between the Earth and the Sun:
- Mass of Sun (m1): 1.989 × 10³⁰ kg
- Mass of Earth (m2): 5.972 × 10²⁴ kg
- Distance between Earth and Sun (r): 1.496 × 10¹¹ m
- Gravitational Constant (G): 6.674 × 10⁻¹¹ N⋅m²/kg²
Using the formula:
F = (6.674 × 10⁻¹¹ N⋅m²/kg²) * (1.989 × 10³⁰ kg * 5.972 × 10²⁴ kg) / (1.496 × 10¹¹ m)²
F ≈ 3.54 × 10²² N
This demonstrates the immense gravitational pull the Sun exerts on the Earth, keeping it in orbit.