| Texto completo | |
| Autor(es): |
Ragazzo, Clodoaldo
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 14, n. 1, p. 48-pg., 2020-01-28. |
| Resumo | |
This paper contains a review of Clairaut's theory with focus on the determination of a gravitational modulus gamma defined as (C-I-o/I-o)gamma = 2/3 Omega(2), where C and I-o are the polar and mean moment of inertia of the body and Omega is the body spin. The constant gamma is related to the static fluid Love number k(2) = 3I(o) G/R-5 1/gamma, where R is the body radius and G is the gravitational constant. The new results are: a variational principle for gamma, upper and lower bounds on the ellipticity that improve previous bounds by Chandrasekhar and Roberts (Astrophys J 138:801, 1963), and a semi-empirical procedure for estimating gamma from the knowledge of m, I-o, and R, where m is the mass of the body. The main conclusion is that for 0.2 <= I-o/(mR(2)) <= 0.4 the approximation gamma approximate to G root 2(7)/5(5) m(5)/I-o(3) (def) = gamma(I) is a better estimate for gamma than that obtained from the Darwin-Radau equation, denoted as gamma(DR). Moreover, an inequality in the paper implies that the Darwin-Radau approximation may be valid only for 0.3 <= I-o/(mR(2)) <= 0.4 and within this range vertical bar gamma(DR)/gamma(I) - 1 vertical bar < 0.14%. (AU) | |
| Processo FAPESP: | 16/25053-8 - Dinâmica e geometria em baixas dimensões |
| Beneficiário: | André Salles de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |