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Home » \frac14 s^2 = 36 - Belip

\frac14 s^2 = 36 - Belip

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 At \( y=0 \), circle has \( x = \pm8 \), ellipse: \( x^2 = 100 \Rightarrow x = \pm10 \), so \( x=8 < 10 \), within ellipse.

📌 So the circle lies inside the ellipse and touches at \( (0,\pm8) \) — only two intersection points.

📌 But the question asks for how many points from the orbit are **reached** — meaning intersection points.

📌 Since the circle is tangent at two points, there are **2 intersection points**.

📌 However, "reached" may mean visited — but in geometry, "intersected" is implied.

📌 But wait: the signal covers a circle — so any point on the orbit that lies within the signal range is "reached".

📌 But the signal only reaches points where the satellite's signal covers, i.e., inside the circle.

📌 But the orbit points are only on the ellipse — so only the points where the ellipse intersects the circle are **exactly covered**.

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