De determinatione orbitarum, habita ratione perturbationum

Carolo Friederico Gauss

Chapter Sectio Quarta in Theoria Motus Corporum Coelestium, 1981, pp 258-261 from Springer

Abstract: Zusammenfassung Perturbationes, quas planetarum motus per actionem planetarum reliquorum patiuntur, tam exiguae lentaeque sunt, ut post longius demum temporis intervallum sensibiles fiant: intra tempus brevius — vel adeo, prout circumstantiae sunt, per revolutionem integram unam pluresve — motus tam parum differet a motu in ellipsi perfecta secundum leges Kepleri exacte descripta, ut observationes deviationem indicare non valeant. Quamdiu res ita se habet, operae haud pretium esset, calculum praematurum perturbationum suscipere, sed potius sufficiet, sectionem conicam quasi osculatricem observationibus adaptare: dein vero, postquam planeta per tempus longius accurate observatus est, effectus perturbationum tandem ita se manifestabit, ut non amplius possibile sit, omnes observationes per motum pure ellipticum exacte conciliare; tunc itaque harmonía completa et stabilis parari non poterit, nisi perturbationes cum motu elliptico rite iungantur.

Date: 1981
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DOI: 10.1007/978-3-642-92478-1_8

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