KnowraJacobi integralLinked fromLinked fromThe 7 pages that link to Jacobi integral, each with the reason it gives.All 7Related 6Compared with 1Restricted three-body problemRelated: It bounds accessible regions and identifies forbidden zones in configuration space.Roche lobeRelated: Its constant-value surfaces constrain which regions of the rotating frame material can reach.Galactic tideRelated: It underlies the rotating-frame analysis used to define tidal boundaries in star clusters.Halo orbitRelated: Its value constrains which regions of space a halo-orbit spacecraft can enter.Orbital energyCompared with: It replaces ordinary orbital energy as a useful invariant in the rotating three-body model.Tisserand parameterRelated: The Tisserand parameter approximates a transformed Jacobi integral when the small body's orbit is far from the planet.Lissajous orbitRelated: Its value constrains the accessible regions and possible amplitudes of a Lissajous trajectory.