Astrophysics: question about nearly resonant orbits

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SUMMARY

The discussion focuses on the concept of nearly resonant orbits, specifically examining the planets in the 55 Cancri system. The user calculates the orbital period ratio of 55 Cancri b (14.6516 days) and 55 Cancri c (44.3446 days), resulting in a ratio of 3.02, indicating a near resonance. The conversation also references the orbital resonance of Jupiter's moons Io, Europa, and Ganymede, which follow a 1:2:4 ratio. The user seeks clarification on the acceptable range for resonance, defined as within two or three percent.

PREREQUISITES
  • Understanding of orbital mechanics and resonance
  • Familiarity with the 55 Cancri planetary system
  • Basic knowledge of calculating orbital periods and ratios
  • Concept of percentage error in scientific measurements
NEXT STEPS
  • Research the orbital dynamics of the 55 Cancri system
  • Learn about the mathematical principles of orbital resonance
  • Study the resonance patterns of Jupiter's moons Io, Europa, and Ganymede
  • Explore the implications of nearly resonant orbits in exoplanetary systems
USEFUL FOR

Astronomy students, astrophysicists, and researchers interested in planetary dynamics and orbital mechanics will benefit from this discussion.

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astrophyscs: question about nearly resonant orbits

Homework Statement


are any planets in low-integer resonant or nearly resonant (within two or three percent) orbits

Homework Equations



p2/p1

The Attempt at a Solution


ok suppose to find for the planets of 55cancri so like 55cancri b has period of 14.6516 and c has 44.3446 so just do 44.3446/14.6516 and got 3.02 so would that mean these two are in resonant with each other? Also found another one but its 356.14 would this one also be in resonant or are they a little to much off? says within two or three percent.
 
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What has to be within two or three percent? If you think about this, you'll have your answer.
 


Jupiter's moons Io, Europa, and Ganymede are in a 1:2:4 orbital resonance.
 


ok thxs for the info ill check it out later
 

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