About Celestial Surface Gravity & Gravitational Force Calculator
Calculate surface gravitational acceleration and Newtonian universal gravitational attraction forces. Computes surface gravity (m/s²) and Earth g-ratio based on mass and radius, solves two-body gravitational attraction F = G(m1*m2)/r², and includes an interactive Solar System weight explorer showing your weight on Mercury, Venus, the Moon, Mars, Jupiter, Saturn, and beyond.
Key Capabilities & Features
- Surface gravity equation: g = GM / R² in m/s² and standard Earth G-forces
- Newtonian two-body universal gravitational force solver: F = G(m1 * m2) / r²
- Interactive Solar System Weight Explorer modeling personal weight across 10 celestial bodies
- Preloaded astronomical constants for planets, moons, and white dwarf compact remnants
How to Use Celestial Surface Gravity & Gravitational Force Calculator
Enter Body Weight
Input your mass in kg or lbs to model your weight across the cosmos.
Select Celestial Target
Choose Earth, Moon, Mars, Jupiter, or the Sun to compute local surface gravity.
Compare Across Solar System
Examine the multi-world weight grid to see where you would feel lightest or heaviest.
Privacy & In-Browser Execution Guarantee
All physical calculations execute locally in your browser with complete privacy.
Frequently Asked Questions
Why is Jupiter surface gravity only 2.53 times Earth despite having 318 times Earth mass?
Although Jupiter has 318 times more mass, its equatorial radius is approximately 11 times larger than Earth. Because gravity decreases with the square of the distance from the center (g ∝ M / R²), the larger radius dampens the surface gravity to about 24.79 m/s² (2.53 G).