The Solar Gravitational Figure - j2 and J4

Details The Solar Gravitational Figure - j2 and J4 The Solar Gravitational Figure - j2 and J4

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...246..985u&link_type=abstract

Astrophysical Journal, Vol.246, P. 985, 1981

Astronomy and Astrophysics

Astrophysics

19

Scientific paper

The theory of the solar gravitational figure is derived including the effects of differential rotation. It is shown that J4 is smaller than J2 by a factor of about 10 rather than being of order J22 as would be expected for rigid rotation. The dependence of both J2 and J4 on envelope mass is given. Higher-order p-mode oscillation frequencies provide a constraint on solar structure which limits the range in envelope mass to the range 0.01 < Me/Msun < 0.04. For an assumed rotation law in which the surface pattern of differential rotation extends uniformly throughout the convective envelope, this structural constraint limits the ranges of J2 and J4 in units of 10-8 to 10 < J2 < 15 and O.6 < -J4 < l.5. Deviations from these ranges would imply that the rotation law is not constant with depth and would provide a measure of this rotation law.

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