Astrophysics: question about nearly resonant orbits

[leonne]

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.

 

[fzero]

What has to be within two or three percent? If you think about this, you'll have your answer.

 

[phyzguy]

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

 

[leonne]

ok thxs for the info ill check it out later