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<h1>🧠 Adventure 15 – Activity 2 Solution</h1>
<p class="small"><b>Pattern finding across the Solar System</b></p>
<p>This page gives concise teacher-facing answers to the Activity 2 questions.</p>
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<h2>📊 Planetary Data Charts and Tables</h2>
<p>
Use these charts together with the table to explain the big Solar System patterns:
orbital speed decreases with distance, while orbit size and orbital period increase.
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The last two questions connect these visual patterns to Kepler’s third law and the
formulas for orbital speed and orbital period.
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<h2>✅ Suggested Answers</h2>
<p><b>1.</b> As distance from the Sun increases, orbital speed decreases. Planets farther away move more slowly because the Sun’s gravitational pull is weaker at larger distances.</p>
<p><b>2.</b> As distance from the Sun increases, orbit size increases and orbital period increases strongly. Outer planets travel much longer paths and take much longer to complete one orbit.</p>
<p><b>3.</b> Period <b>T</b> is approximately proportional to <b>r^(3/2)</b>. Equivalently, <b>T²</b> is proportional to <b>r³</b>.</p>
<p><b>4.</b> Since <b>v = √(GM/r)</b> and <b>T = 2πr / v</b>, substituting gives <b>T = 2π √(r³ / GM)</b>. Squaring both sides gives <b>T² = (4π² / GM) r³</b>.</p>
<p><b>5.</b> Possible observations: inner planets are close together and move quickly; outer planets are far apart and move slowly; a small increase in orbital radius produces a much larger increase in orbital period.</p>
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<img src="images/adventure_15_chart.png" alt="Planetary data main chart">
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