On the first determination of Mercury’s perihelion advance

Дата и время публикации : 2011-04-04T12:42:00Z

Авторы публикации и институты :
Diana Rodica Constantin

Ссылка на журнал-издание: Annals of the University of Bucharest (mathematical series) 2 (LIX) 2010, 227-236
Коментарии к cтатье: 10 pages, no figures
Первичная категория: astro-ph.EP

Все категории : astro-ph.EP, 70F15 34A30

Краткий обзор статьи: The first determination of the perihelion advance of Mercury’s orbit was obtained by Leverrier from the analysis of the transit contacts of the planet on the solar disk. He obtained for the advance the value delta pi ‘ = 38".3/century, considering that the value delta e’, namely the correction of the variation of the planet’s orbit eccentricity, is negligible. In this paper delta pi ‘ and delta e’ are calculated by the least squares method, on the basis of the meridian observations used by Leverrier. Thus, we obtain for advance the value delta pi ‘ = 42".8/century, which is close to the one given in the theory of general relativity. The same, we obtained the value delta e’ = -0".044/year, which is lower in absolute value than Leverrier’s estimation delta e’ = -0".0806/year.

Category: Physics