1. What is the Gravity Equation?

The gravity equation describes the gravitational force between two objects. It calculates the acceleration due to gravity (g) at a certain distance from an object's center based on its mass and the universal gravitational constant.

2. How Does the Calculator Work?

The calculator uses the gravity equation:

Where:

• \( g \) — Acceleration due to gravity (m/s²)
• \( G \) — Gravitational constant (6.67430 × 10⁻¹¹ m³/kg·s²)
• \( M \) — Mass of the object (kg)
• \( r \) — Distance from the object's center (m)

Explanation: The equation shows that gravitational acceleration is directly proportional to the mass of the object and inversely proportional to the square of the distance from its center.

3. Importance of Gravity Calculation

Details: Calculating gravitational acceleration is fundamental in physics, astronomy, and space exploration. It helps determine orbital mechanics, planetary characteristics, and is essential for satellite and spacecraft trajectory calculations.

4. Using the Calculator

Tips: Enter the gravitational constant (G), mass of the object (M), and distance from the object's center (r). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value of G?
A: The gravitational constant is approximately 6.67430 × 10⁻¹¹ m³/kg·s².

Q2: How does distance affect gravity?
A: Gravity follows an inverse square law - doubling the distance reduces gravity to 1/4 of its original value.

Q3: What is Earth's surface gravity?
A: Approximately 9.81 m/s², calculated using Earth's mass (5.972 × 10²⁴ kg) and radius (6.371 × 10⁶ m).

Q4: Can this calculate orbital velocity?
A: No, this calculates gravitational acceleration. Orbital velocity requires a different equation incorporating centripetal force.

Q5: Why is G so small numerically?
A: Gravity is an extremely weak force compared to other fundamental forces, hence the small constant value.