The sun's quadrupole moment and perihelion precession of Mercury

Physics

Scientific paper

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Mercury (Planet), Perihelions, Precession, Quadrupoles, Solar Rotation, Angular Velocity, Gravitation Theory, Icarus Asteroid, Relativity, Solar Interior, Solar Orbits, Mercury(Planet), Sun, Quadrupole Moment, Perihelion, Precession, Rotation, Angular Velocity, Distribution, Comparisons, Symmetry, Gravity Effects, Radar Observations, Orbits, Mathematical Models, Calculations, Radii, Data

Scientific paper

The interior rotation of the Sun is determined from rotational splittings of global oscillations of the Sun. The angular velocity distribution yields the minimum quadrupole moment coefficient J2 = 1.6×10-6. A physical angular velocity distribution will produce a larger J2 of the order of 5.0×10-6. These results are compared with general relativity and the nonsymmetric theory of gravitation. For J2 = 5.0×10-6 the authors find that using the radar tracking data for the orbits of Mercury and the minor planet Icarus, general relativity disagrees with the data by ≡2.2 standard deviations. The nonsymmetric gravitational theory can fit all the Solar System data, including the orbits of Mercury and Icarus, if the new post-newtonian parameter l_sun; = 3.1×103 km.

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