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Home » You Won’t Believe What Lies Behind the Fences of This Stunning Suburban Home! - Midis

You Won’t Believe What Lies Behind the Fences of This Stunning Suburban Home! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 An astronomer observes a planetary system with 3 planets orbiting a star. Planet X has an orbital period of 6 Earth years, Planet Y is 3 times farther from the star, and Planet Z is 4 times farther than Planet Y. Using Kepler’s third law (T² ∝ R³), what is the orbital period of Planet Z?

📌 Orbital period squared is proportional to radius cubed.

📌 Planet Y is 3× farther → R_Y³ = 3³ = 27 → T_Y² = 6² × 27 = 36 × 27 = <<36*27=972>>972.

📌 Planet Z is 4× farther than Y → R_Z = 4 × R_Y → R_Z³ = 64 × R_Y³ = 64 × 27 = <<64*27=1728>>1,728.

📌 T_Z² = (R_Z³) × (T_Y²)/(R_Y³) = 1,728 × (972 / 27) = 1,728 × 36 = <<1728*36=62208>>62,208.

📌 T_Z = √62,208 = <<sqrt(62208)=249.4>>≈ 249.4 Earth years.

📌 #### 249.4

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