The asteroid 243 Ida has its own small moon, Dactyl. Another such system, asteroid 624 Hektor, has a mass of 7.9×1018kg, with its moon orbiting at a radius of 623.5 km and a period of 2.965 days. Given that the orbital radius of Datyl is 108 km, and its period is 1.54 days, is the mass of 243 Ida greater than, less than, or equal to the mass of 624 Hektor? Calculate the mass of 243 Ida.

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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The asteroid 243 Ida has its own small moon, Dactyl. Another such system, asteroid 624 Hektor, has a mass of 7.9×1018kg, with its moon orbiting at a radius of 623.5 km and a period of 2.965 days.

Given that the orbital radius of Datyl is 108 km, and its period is 1.54 days, is the mass of 243 Ida greater than, less than, or equal to the mass of 624 Hektor?

Calculate the mass of 243 Ida.

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