Question

An orrery is a mechanical model of the solar system. Gear ratios approximate the ratio of orbital periods for various planets and accurate ratios are necessary to build an accurate orrery. The numerator and denominator of the rational approximation corresponds to the number of teeth in the two gears that model the corresponding orbits.

Name: an orrery is a mechanical model of the solar system gear ratios approximate the ratio of orbital periods for various planets and accurate ratios are necessary to build an accurate orrery the 96864
Uploaded: 2023-05-23T11:10:54-08:00
Duration: 1 min 51 s
Channel: Donna Densmore
Description: an orrery is a mechanical model of the solar system gear ratios approximate the ratio of orbital periods for various planets and accurate ratios are necessary to build an accurate orrery the 96864

          An orrery is a mechanical model of the solar system. Gear ratios approximate the ratio of orbital periods for various planets and accurate ratios are necessary to build an accurate orrery. The numerator and denominator of the rational approximation corresponds to the number of teeth in the two gears that model the corresponding orbits.

Added by Jose Manuel M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Donna Densmore

05/23/2023

Step 1

In an orrery, you want the gear train’s rotation ratio to reflect the ratio of orbital periods of two bodies. If gear A models the inner orbit (Earth) and gear B models the outer orbit (Mars), the gear ratio should approximate P_B / P_A, where P are orbital Show more…

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An orrery is a mechanical model of the solar system. Gear ratios approximate the ratio of orbital periods for various planets and accurate ratios are necessary to build an accurate orrery. The numerator and denominator of the rational approximation corresponds to the number of teeth in the two gears that model the corresponding orbits.