Determinatio orbitae e quatuor observationibus, quarum duae tantum completae sunt

Carolo Friederico Gauss

Chapter Sectio Secunda in Theoria Motus Corporum Coelestium, 1981, pp 222-235 from Springer

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.

Date: 1981
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-92478-1_6

Ordering information: This item can be ordered from
http://www.springer.com/9783642924781

DOI: 10.1007/978-3-642-92478-1_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().