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Kepler's Third Law

Experiment Module

Kepler's Period

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Kepler's Third Law is an essential tool for understanding Kepler's Third Law in quantitative terms. Calculate Period T using T² = (4π²/GM)r³.

Mathematical Formulation

The relationship between the variables is governed by the following equation:

Result = √( (4×3.14159×3.14159 × r³) ÷ (6.674e-11 × m) )
Eq 1.1: Governing Formula

Variable Legend

Symbol Parameter Unit
m Central Mass kg
r Orbit Radius m

Practical Calculation Example

Problem

Calculating the result when:

  • Central Mass = 30 kg
  • Orbit Radius = 80 m

Solution

Substituting into Eq 1.1:

Result = √( (4×3.14159×3.14159 × 80³) ÷ (6.674e-11 × 30) )