🧠 Adventure 15 – Activity 1 Solution

The Sun Controls the Solar System

This page shows one reasonable set of numerical answers for Activity 1.

🔹 Part I — Compute GM of the Sun

G = 6.67 × 10^-11

M_sun = 2 × 10^30

GM_sun = 1.334 × 10^20 m³/s²

📊 Solutions Table

PlanetDistance from Sun r (m)Orbital Velocity v (m/s)Orbit Size 2πr (m)Period T (s)Period (years)
Mercury5.79 × 10^104.80 × 10^43.64 × 10^117.58 × 10^60.24
Earth1.496 × 10^112.99 × 10^49.40 × 10^113.15 × 10^71.00
Neptune4.495 × 10^125.45 × 10^32.82 × 10^135.18 × 10^9164.1