Orbital stability asks that a disturbance remain close to an invariant orbit or symmetry family, rather than to one fixed representative. In a complex Landau amplitude equation with , , , the circle attracts radial disturbances while every phase on it remains stationary. The family is attracting as a set, but its individual points do not have individual asymptotic stability because their phase is neutral.
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Orbital stability refers to the stability of the orbits of celestial bodies under the influence of gravitational forces. In astrodynamics and celestial mechanics, it is an important concept that describes whether an orbiting body will remain in a stable orbit or if it is likely to change its trajectory significantly over time, possibly leading to escape from a gravitational influence, collision with another body, or spiraling into a star or planet.