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Mercury’s track wandered just a little bit more than the theory predicted.

It was a small number—tiny, really—but the gap between theory and the data was greater than estimates of observational errors could explain, which meant the problem was real.

He would steal time there between patients, just minutes sometimes, sneaking from his office to the dome to look, perhaps to dream, just a little.

Lescarbault watched Mercury’s moving dot across the solar face, untroubled by any mathematical subtleties.Le Verrier’s number for the discrepancy between the empirical picture and the theoretical one of Mercury’s motion—38 arcseconds per century—is a little off the modern value of 43 arcseconds, but he got it as nearly right as anyone could in 1859, given the limitations of the data at his disposal. Of all men, Le Verrier knew what came next: in his booklength report on Mercury, he said as much: “a planet, or if one prefers a group of smaller planets circling in the vicinity of Mercury’s orbit, would be capable of producing the anomalous perturbation felt by the latter planet…According to this hypothesis, the mass sought should exist inside the orbit of Mercury.’ ” Le Verrier then took the next step, figuring out how big an intra-Mercurian planet would have to be to drive the advance of the perihelion, the point at which Mercury is closest to the sun.Assuming it lay roughly halfway between Mercury and the sun, he wrote, its mass would have to be about the same as its neighbor. If it were that big, why hadn’t anyone seen it yet?He tracks it continuously now, noting its nearest approach to the center of the solar circle, and then the instant and place it disappears over the solar limb. Total transit duration: one hour, 17 minutes, and nine seconds.If an asteroid were ever to be discovered within the innermost wards of the solar system, this is how it would reveal itself. Until, at last, he permits himself to write a letter to be delivered—by hand—to Paris.

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