Is it plausible to expect a close encounter of the Earth with a yet undiscovered astronomical object in the next few years?
Lorenzo Iorio

TL;DR
This paper assesses the likelihood of an undiscovered astronomical object entering the inner solar system in the next few years, concluding it is highly implausible due to required unrealistically high velocities and current observational constraints.
Contribution
It provides a combined analytical and numerical analysis showing that a nearby undiscovered object cannot reach Earth in two years without possessing unphysical speeds, given current observational bounds.
Findings
An undiscovered object would need to travel at near-light speeds to reach Earth in 2 years.
Such high velocities are inconsistent with known astrophysical objects like hypervelocity stars.
Current observational limits strongly suggest no such object is on a collision course in the near future.
Abstract
We analytically and numerically investigate the possibility that a still undiscovered body X, moving along an unbound hyperbolic path from outside the solar system, may penetrate its inner regions in the next few years posing a threat to the Earth. By conservatively using as initial position the lower bounds on the present-day distance dX of X dynamically inferred from the gravitational perturbations induced by it on the orbital motions of the planets of the solar system, both the analyses show that, in order to reach the Earth's orbit in the next 2 yr, X should move at a highly unrealistic speed v, whatever its mass MX is. For example, by assuming for it a solar (MX =M_Sun) or brown dwarf mass (MX = 80mJup), now at not less than dX = 11-6 kau (1 kau=1000 astronomical units), v would be of the order of 6-10% and 3-5% of the speed of light c, respectively. By assuming larger present-day…
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