Solar Explorer KEPLER-MATH

Kepler's Planetary Calculations

How planetary age is derived from Kepler's Laws of Planetary Motion and orbital period harmonics.

1. The Orbital Ratio Equation

A planetary year corresponds to one complete heliocentric orbit around the Sun. The age on planet $P$ is inversely proportional to its orbital period.

Age(P) =
Earth Age (Sidereal Years) Orbital Period T(P)

Where $T(P)$ is the planetary orbital period in Earth years. By Kepler's Third Law ($T^2 \propto a^3$), orbital period scales exponentially with semi-major axis distance $a$ from the Sun.

2. Live Orbital Ratio Simulator

Slide to adjust Earth years and observe instantaneous age dilation across the solar system in real time.

Earth Reference Age: 25.0 Solar Years

NASA JPL Heliocentric Orbital Ephemeris

Reference orbital period parameters used in Solar Explorer conversions.

Celestial Body Symbol Period (Earth Yrs) Period (Solar Days) Semi-Major Axis (km) Mean Velocity