In other words, the mean motion of Io is indeed double of that of Europa taking into account the precession of the perijove.
22.
A stability analysis on this putative system suggest that the pair of gas giant planets are in a 4 : 1 mean motion resonance.
23.
Subsequently, the orbit drifted as a result of the Yarkovsky effect and mean motion resonances with the giant planets, such as Jupiter and Saturn.
24.
From orbital mechanics, \ frac { 2 \ pi } { P } is just n, the mean motion of the body in its orbit.
25.
The orbit had a shallow inclination and an orbital period suggesting that this meteoroid originated in the 3 : 1 mean motion resonance with Jupiter.
26.
Neptune's high eccentricity causes its mean-motion resonances to overlap and orbits in the region between Neptune and its 2 : 1 mean motion resonances to become chaotic.
27.
Given hypothetical planet g of up to 50 Earth masses, stable mean motion resonance regions lie at 3f : 2g, 2g : 1d, and 3g : 2d.
28.
In this context " commensurability " means that the ratio of the two planets'mean motions is very nearly equal to a ratio between a pair of small whole numbers.
29.
It is closely related to 1362 Griqua and 1921 Pala, which also received tribal name and librate in the 2 : 1 ratio of Jupiter's mean motion as well.
30.
In statistical orbital mechanics, a body's " "'dynamical lifetime " "'refers to the mean time that a small body can be expected to remain in its current mean motion resonance.
