Constraints on the location of a putative distant massive body in the Solar System from recent planetary data

Abstract

We analytically work out the long-term variations caused on the motion of a planet orbiting a star by a very distant, pointlike massive object X. Apart from the semi-major axis a, all the other Keplerian osculating orbital elements experience long-term variations which are complicated functions of the orbital configurations of both the planet itself and of X. We infer constraints on the minimum distance d_X at which X may exist by comparing our prediction of the long-term variation of the longitude of the perihelion \varpi to the latest empirical determinations of the corrections Δ\dot\varpi to the standard Newtonian/Einsteinian secular precessions of several solar system planets recently estimated by independent teams of astronomers. We obtain the following approximate lower bounds on dX for the assumed masses of X quoted in brackets: 150 - 200 au (m_Mars), 250 - 450 au (0.7 m_Earth), 3500 - 4500 au (4 m_Jup).

LaTex2e, 21 pages. 1 figure, 1 table. Uncited references deleted. Expired link removed and replaced with published references. At press in Celestial Mechanics and Dynamical Astronomy

References in corpus (8)

• The Wide-field Infrared Survey Explorer (WISE): Mission Description and Initial On-orbit Performance
• The First Ultra-Cool Brown Dwarf Discovered by the Wide-field Infrared Survey Explorer
• External field effect of modified Newtonian dynamics in the Solar system
• Nemesis Reconsidered
• Mesolensing Explorations of Nearby Masses: From Planets to Black Holes
• What Can the Cosmic Microwave Background Tell Us About the Outer Solar System?
• Long-term evolution of orbits about a precessing oblate planet. 3. A semianalytical and a purely numerical approach
• Constraints on planet X/Nemesis from Solar System's inner dynamics

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