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Diagram of the Moon's elliptical orbit around the Earth, showing distances at perigee and apogee with a given scale.

Diagram of the Moon's elliptical orbit around the Earth, showing distances at perigee and apogee with a given scale.

Use the scale 1 cm = 1 × 10 8 m 1 cm=1×10 8 m: Semimajor axis 𝑎 = 3.84 × 10 8 m ⇒ 3.84 cm a=3.84×10 8 m⇒3.84 cm Earth is offset from the center by 𝑐 = 2.10 × 10 7 m ⇒ 0.21 cm c=2.10×10 7 m⇒0.21 cm So on your drawing: Draw an ellipse with a total major-axis length 2 𝑎 = 7.68 cm 2a=7.68 cm. Mark the center. Place the Earth 0.21 cm 0.21 cm to one side of the center. The Moon is: At perigee: 3.63 × 10 8 m ⇒ 3.63 cm 3.63×10 8 m⇒3.63 cm from Earth. At apogee: 4.05 × 10 8 m ⇒ 4.05 cm 4.05×10 8 m⇒4.05 cm from Earth. See more