Four classical methods for determining planetary elliptic elements: A comparison

Celestial Mechanics and Dynamical Astronomy

Volumn 93, Issue 1-4, 2005, Pages 1-52

  Celletti, Alessandra ^a   Pinzari, Gabriella ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b ROMA TRE UNIVERSITY   (Italy)

Author keywords

Gauss' method; Laplace's method; Mossotti's method; Orbit determination

Indexed keywords

EID: 27844530153     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10569-005-8663-8     Document Type: Review

References (9)

1. Gallavotti, G.: 1980, In: P. Boringhieri (ed), Meccanica Elementare,Torino, seconda edizione (1986), pp. 498-516.
2. Gauss, C.F.: 1809, Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic Sections, English Translation, New York, Dover Publ., New York 1963.
3. Gauss C.F.: 1817, in Gutting. Gelehrte Anzeigen 144, 1433-1438.
4. Laplace P.S.: 1780, 'Memoires de l'Académie Royale des Sciences de Paris', Collected Works 10, 93-146.
5. Levi-Civita T.: 1904, 'Sopra la equazione di Kepler', Rendiconti Acc. Nazionale Lincei 13, 260-268.
6. Moulton F.R.: 1914, An Introduction to Celestial Mechanics, The Macmillan Company, New York.
7. Mossotti O.F.: 1942a, Sopra la Determinazione delle Orbite dei Corpi Celesti per Mezzo di Tre Osservazioni, Scritti', Pisa, Domus Galileana, original version: "Memoria Postuma", 1866
8. Mossotti O.F.: 1942b, 'Nuova analisi del problema di determinare le orbite dei corpi celesti [1816-1818], Scritti', Pisa, Domus Galileana.
9. von Zach F.X.: 1801, 'Fortgesetzte Nachrichten über den längst vermutheten neuen Haupt-Planeten unseres Sonnen-Systems', Monatliche Correspondes, pp. 279-283.