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<title>Adventure 15 Activity 1 – Solution</title>
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<h1>🧠 Adventure 15 – Activity 1 Solution</h1>
<p class="small"><b>The Sun Controls the Solar System</b></p>
<p>This page shows one reasonable set of numerical answers for Activity 1.</p>
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<h2>🔹 Part I — Compute GM of the Sun</h2>
<div class="formula">G = 6.67 × 10^-11</div><br>
<div class="formula">M_sun = 2 × 10^30</div><br>
<div class="formula">GM_sun = 1.334 × 10^20 m³/s²</div>
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<h2>📊 Solutions Table</h2>
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<tr><th>Planet</th><th>Distance from Sun r (m)</th><th>Orbital Velocity v (m/s)</th><th>Orbit Size 2πr (m)</th><th>Period T (s)</th><th>Period (years)</th></tr>
<tr><td>Mercury</td><td>5.79 × 10^10</td><td>4.80 × 10^4</td><td>3.64 × 10^11</td><td>7.58 × 10^6</td><td>0.24</td></tr>
<tr><td>Earth</td><td>1.496 × 10^11</td><td>2.99 × 10^4</td><td>9.40 × 10^11</td><td>3.15 × 10^7</td><td>1.00</td></tr>
<tr><td>Neptune</td><td>4.495 × 10^12</td><td>5.45 × 10^3</td><td>2.82 × 10^13</td><td>5.18 × 10^9</td><td>164.1</td></tr>
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