Metals in the HSE group include gold, platinum, palladium, iridium and ruthenium.
Schmidt compared these with samples from Earth's mantle and crust; from Martian meteorites that have been found on Earth; and from analysis of HSE-rich rocks, brought back by the Apollo missions, found at impact sites on the Moon.
The startling similarities point to a "cosmochemical source" for terrestrial HSE, he said in a press release.
He calculates that around 160 large, metal-rich asteroids in the order of 20 kilometers (12 miles) in diameter would have been enough to provide the concentrations of HSE we see today.
Schmidt was scheduled to present his work at the European Planetary Science Congress, taking place this week in the German town of Muenster.