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Home » Nephalem Hacked My Routine—Discover the 5 Hacks That Will Save You Hours Every Day! - Dyverse

Nephalem Hacked My Routine—Discover the 5 Hacks That Will Save You Hours Every Day! - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 So \( \frac{2}{5} h^{5/2} = 199.726 - 3.648 = 196.078 \)

📌 \( h^{5/2} = \frac{5}{2} \cdot 196.078 = 490.195 \)

📌 Now \( h = (490.195)^{2/5} \)

📌 \( \ln(490.195) \approx 6.192 \), \( \frac{2}{5} \times 6.192 = 2.477 \), \( e^{2.477} \approx 11.94 \)

📌 So \( h \approx 11.94 \) cm.

📌 #### 11.94

📌 A satellite orbits Earth in an elliptical path where the Earth is at one focus. The semi-major axis is 15,000 km and the eccentricity is 0.2. What is the distance from the satellite to the Earth’s center at the closest approach (perigee)?

📌 Perigee distance = \( a(1 - e) = 15000 \times (1 - 0.2) = 15000 \times 0.8 = 12,000 \, \text{km} \).

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