What Is the Newton's Law of Gravitation Calculator?
Newton's Law of Universal Gravitation is one of the pillars of classical astrophysics, published in the Principia in 1687.
How Does the Newton's Law of Gravitation Calculator Work?
Mass curves spacetime in General Relativity, which Newtonian gravity accurately models as a mutual attractive inverse-square central force in weak-field limits.
Newton's Law of Gravitation Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Gravitational force F is directly proportional to the product of both masses and inversely proportional to the square of separation distance.
How to Use the Newton's Law of Gravitation Calculator
- Enter the masses of both objects in kilograms (scientific notation supported, e.g. 1.989e30 for the Sun).
- Provide center-to-center distance in meters.
Step-by-Step Example Calculation
Earth-Satellite Gravitational Attraction
Input Values:
Understanding Your Result
Gravitational Attraction Force: Total mutual attractive force in Newtons.
Induced Acceleration: Separate acceleration experienced by each mass according to a = F/m.
Factors That Affect the Result
- Separation Distance: Doubling distance slashes gravitational force to 25%.
When Should You Use This Calculator?
- Astrophysics, orbital mechanics, and satellite mission trajectory design.
Assumptions & Limitations
- Treats spherical bodies as point masses (Shell Theorem).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard CODATA Newtonian constant G = 6.67430×10⁻¹¹ N·m²/kg².