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Determinatio orbitae e quatuor observationibus, quarum duae tantum completae sunt

In: Theoria Motus Corporum Coelestium

Author

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  • Carolo Friederico Gauss

Abstract

Zusammenfassung Iam in ipso limine Libri secundi (art. 115) declaravimus, usum problematis in Sect. praec. pertractati ad eas orbitas limitari, quarum inclinatio nec evanescit, nec nimis exigua est, determinationemque orbitarum parum inclinatarum necessario quatuor observationibus superstrui debere. Quatuor autem observationes completae, quum octo aequationibus aequivaleant, incognitarumque numerus ad sex tantum ascendat, problema plus quam determinatum redderent: quapropter a duabus observationibus latitudines (sive declinationes) seponere oportebit, ut datis reliquis exacte satisfieri possit. Sic oritur problema, cui haec Sectio dicata erit: solutio autem, quam hic trademus, non solum ad orbitas parum inclinatas patebit, sed etiam ad orbitas inclinationis quantumvis magnae pari successu applicari poterit. Etiam hic, perinde ut in problemate Sect, praec., casum eum, ubi orbitae dimensiones approximatae iam in potestate sunt, segregare oportet a determinatione prima orbitae penitus adhuc incognitae: ab ilio initium faciemus.

Suggested Citation

  • Carolo Friederico Gauss, 1981. "Determinatio orbitae e quatuor observationibus, quarum duae tantum completae sunt," Springer Books, in: Theoria Motus Corporum Coelestium, chapter 0, pages 222-235, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-92478-1_6
    DOI: 10.1007/978-3-642-92478-1_6
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