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- W3122593559 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 $${Deltadotvarpi}$$ 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 d X for the assumed masses of X quoted in brackets: 150–200 au (Mars), 250–450 au $$({0.7 m_{oplus}})$$ , 3500–4500 au (4 m Jup)." @default.
- W3122593559 created "2021-02-01" @default.
- W3122593559 creator A5045144289 @default.
- W3122593559 date "2011-12-21" @default.
- W3122593559 modified "2023-09-23" @default.
- W3122593559 title "Constraints on the location of a putative distant massive body in the Solar System from recent planetary data" @default.
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- W3122593559 doi "https://doi.org/10.1007/s10569-011-9386-7" @default.
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