Internal rotation and gravitational quadrupole moment of the sun

Physics

Scientific paper

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63

Gravitation Theory, Quadrupoles, Solar Gravitation, Solar Interior, Solar Rotation, Angular Momentum, Angular Velocity, Helium, Limb Darkening, Photosphere, Relativistic Theory

Scientific paper

The internal angular velocity of the sun is estimated from observations of apparent rotational splitting of low-order low-degree global oscillations detected in fluctuations in the limb-darkening function. A sidereal rotation of 3 micro-Hz is inferred for the deep interior; this is more than six times greater than the equatorial rotation frequency of the photosphere. The inferred angular velocity distribution does not vary strongly with latitude, and yields a gravitational quadrupole moment 0.0000036. When combined with the results of planetary radar observations to determine a combination of Eddington-Robertson post-newtonian parameters which in general relativity is unity, a value of about 0.994 is thus obtained.

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