Determinatio orbitae e tribus observationibus completis

Carolo Friederico Gauss

Chapter Sectio Prima in Theoria Motus Corporum Coelestium, 1981, pp 155-221 from Springer

Abstract: Zusammenfassung Ad determinationem completam motus corporis coelestis in orbita sua requiruntur elementa septem, quorum autem numerus uno minor evadit, si corporis massa vel cognita est vel negligitur; haec licentia vix evitari poterit in determinatione orbitae penitus adhuc incognitae, ubi omnes quantitates ordinis perturbationum tantisper seponere oportet, donec massae a quibus pendent aliunde innotuerint. Quamobrem in disquisitione praesente massa corporis neglecta elementorum numerum ad sex reducimus, patetque adeo, ad determinationem orbitae incognitae totidem quantitates ab elementis pendentes ab invicem vero independentes requrri. Quae quantitates nequeunt esse nisi loca corporis coelestis e terra observata, quae singula quum bina data subministrent, puta longitudinem et latitudinem, vel ascensionem rectam et declinationem, simplicissimum utique erit, tria loca geocentrica adoptare, quae generaliter loquendo sex elementis incognitis determinandis sufficient. Hoc problema tamquam gravissimum huius operis spectandum erit, summaque ideo cura in hac Sectione pertractabitur.

Date: 1981
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DOI: 10.1007/978-3-642-92478-1_5

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