A theoretical dynamical limit of planet X's mass based on its perturbations on Uranus and Neptune

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Neptune (Planet), Perturbation, Solar System, Uranus (Planet), Dark Matter, Planet Ephemerides

Scientific paper

We present theoretical bounds to the detectability of dark mass in the outer solar system from its dynamical influence on the motion of Uranus and Neptune. Our results corroborate those of Hogg et al. (1991) when the unknown body is so far that its mean motion can be considered as negligible. We find, however, that these bounds are no longer valid for distances not greater than 100 AU, where the mean motion of the disturbing body introduces measurable modulations in the residuals. In this situation, Uranus is nearly two times as sensitive as Neptune to detect dark mass, because it has been observed over a larger fraction of its orbit.

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