Question
What is the synodic period of Deimos as seen from Phobos?
Step 1
The synodic period is the time it takes for a celestial body to return to the same position relative to another body, as observed from a third body. In this case, we want to find the synodic period of Deimos as seen from Phobos. Show more…
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Mars has two moons, Phobos and Deimos. Phobos orbits Mars at a distance of $9380 \mathrm{km}$ from Mars's center, while Deimos orbits at $23,500 \mathrm{km}$ from the center. What is the ratio of the orbital period of Deimos to that of Phobos?
Predict/Calculate The Martian moon Deimos has an orbital period that is greater than the other Martian moon, Phobos. Both moons have approximately circular orbits. (a) Is Deimos closer to or farther from Mars than Phobos? Explain. (b) Calculate the distance from the center of Mars to Deimos given that its orbital period is $1.10 \times 10^{5} \mathrm{s}$ .
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