Determine the orbital period of Phobos

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SUMMARY

The orbital period of Phobos, a Martian moon, can be determined using its eccentricity of 0.018 and a major semiaxis of 9380 km. The correct mass of Mars is crucial for accurate calculations; discrepancies in its value can lead to significant errors in the resulting orbital period. The standard gravitational parameter for Mars is approximately 4.282 × 10^13 m³/s², which should be used in conjunction with Kepler's Third Law to derive the orbital period accurately.

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  • Understanding of Kepler's Third Law of planetary motion
  • Familiarity with gravitational parameters and their applications
  • Basic knowledge of orbital mechanics
  • Ability to perform calculations involving eccentricity and semiaxis
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  • Research the application of Kepler's Third Law in calculating orbital periods
  • Learn about the gravitational parameters of celestial bodies, specifically Mars
  • Explore the effects of eccentricity on orbital dynamics
  • Study the methods for verifying astronomical calculations and common pitfalls
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Astronomy students, astrophysicists, and anyone interested in orbital mechanics and the dynamics of celestial bodies.

Alexanddros81
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Homework Statement


14.101 The orbit of Phobos, a Martian moon, has an eccentricity of 0.018 and a
major semiaxis of length 9380 km. Determine the orbital period of Phobos

Homework Equations

The Attempt at a Solution



Pytels_Dynamics126.jpg


Can you check my solution?
 

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THe value that you've used for the mass of Mars looks a little high to me. Maybe some digits out of order?
 

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