Abstract
Studies of the perturbations of Vesta can be divided into three phases in the early nineteenth century. Burckhardt in France was at the forefront in this research, writing a paper on it the very same year Vesta was discovered. The following decade, Pierre Daussy (also in France) published two major studies, and in 1810 Santini (in Italy) “gave Vesta’s secular variations and formulae for her periodic inequalities to the first order of small quantities, on two hypotheses of the value of the major axis.” (Airy 1835:158) A review of a two-volume work by Santini (1819) says it “contains the most noted theorems in spherics, and the formulas generally used in calculations of astronomy, particularly, a detailed account of the methods of Olbers and Gauss for computing the orbits of comets or planets, with Burckhardt’s tables of motion for a parabola, and Gauss’ tables for an ellipse or hyperbola.” (Bowditch 1825:52) Volume 1 of his work treated the asteroids.
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References
Airy, G. B. (1835). OReport on the Progress of Astronomy during the present Century [presented in 1832].Report of the Second Meeting of the British Association for the Advancement of Science, 125–188. John Murray, London.
Airy, G. B. (1853). On a new method of computing the perturbations of planets, by M. Encke. The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science 5, fourth series, 140–142.
Brouwer, D., & Clemence, G. M. (1961). Methods of celestial mechanics. New York: Academic.
Brünnow, F. F. E. (1858). The general perturbations and elliptical elements of Vesta. Astronomical Notices, 1, 2–5. Ann Arbor, Michigan.
Burckhardt, J.C. (1813). Ueber die Storungen der Vesta. Monatliche Correspondenz, 28, September, 222-226.
Encke, J. F. (1830). On the elements of the planet Ceres. The Philosophical Magazine, 7(40), 271–276.
Encke, J. F. (1852). Über eine neue Methode der Berechnung der Planetenstörungen. AN 33, February issue, 377–398. The Nautical Almanac and Astronomical Ephemeris (1853): On a New Method of Computing the Perturbations of Planets (trans: Airy G. B.).
Groombridge, S. (1822). The Philosophical Magazine and Journal, 59(285), 28–31.
Groombridge, S. (1823a). The Philosophical Magazine and Journal, 61(300), 249–251.
Liouville, J. (1836a). Mémoire sur une nouvel usage des fonctions elliptiques dans les problèmes de mécanique céleste. Journal de mathématiques pures et appliquées, 1, 445–458.
Liouville, J. (1836b). Note sur le calcul des inégalités périodiques du mouvement des planètes. Journal de mathématiques pures et appliquées, 1, 197–210; Comptes Rendus II p.217.
Lützen, J. (2012). Joseph Liouville 1809–1882 Master of Pure and Applied Mathematics. New York: Springer.
Monthly Notices of the Royal Astronomical Society. (1866). Obituary of Encke in Report of the Council at the Forty-sixth Annual General Meeting, 27, 129–134.
Moseley, W. M. (1823a). On the Orbit of the Planet Vesta. The Philosophical Magazine and Journal, 61, 31 March issue,(299), 161–162. Article dated 8 March.
Moseley, W. M. (1823b). On Mr. Groombridge’s Tables of Vesta. The Philosophical Magazine and Journal, 61(301), 31 May issue, 375. Article dated 9 May.
Robinson, S., Scarritt, S., & Goodman, J. (2016). Encke-Beta Predictor for Orion Burn Targeting and Guidance. American Astronomical Society 16–112, 25.
Santini, G. (1819). Elementi di Astronomia. Padua: tip. del Seminario.
The Annals of Philosophy. (1816). Royal Institute of France: New Determination of the Orbit of the Planet Vesta, 8. 384–385.
The London Literary Gazette. (1818). The London Literary Gazette and Journal of Belles Lettres, 72, 359.
The Philosophical Magazine, (1828). Astronomical Society, dated Feb. 8. New series vol. 3(17), May, 387-391.
The Philosophical Magazine and Journal. (1821a). Quere Respecting Tables of Vesta, 57(275), 233–234 Article is dated 7 March and signed Z.N.
The Philosophical Magazine and Journal. (1821b). To the Editor, 57(276), 395–396 Article is dated 3 April and signed Astrophilus.
The Quarterly Review of London. (1820). Review of An Elementary Treatise on Astronomy by Robert Woodhouse, 22, 129–49.
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Cunningham, C.J. (2017). The Perturbations of Vesta. In: Investigating the Origin of the Asteroids and Early Findings on Vesta. Springer, Cham. https://doi.org/10.1007/978-3-319-58118-7_7
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