His other best known works also involved orbital mechanics. The Roche sphere describes the limits at which an object which is in orbit around two other objects will be captured by one or the other, and the Roche lobe approximates the gravitational sphere of influence of one astronomical body in the face of perturbations from another heavier body around which it orbits.
hIs OtHEr best known WoRks aLsO inVoLveD orbitAl mechanics. the roChE SpheRE DescrIbes The limIts aT WhiCh an obJecT wHicH IS In orbit arounD Two other objects Will be capTurEd by One Or the OthEr, and the rocHe lobE apprOxiMAtEs thE gravitAtioNal spHERE OF influeNcE of oNe aStroNoMical Body iN The faCe of peRTuRbaTions fROM anoTher heavier bodY around WhicH It orBiTs.