OSIRIS-REx, currently on a two-year outbound journey to the asteroid Bennu, will spend almost two weeks searching for evidence of these small bodies, NASA said.
Trojan asteroids are trapped in stable gravity wells, called Lagrange points, which precede or follow a planet.
OSIRIS-REx is currently travelling through Earth's fourth Lagrange point, which is located 60 degrees ahead in Earth's orbit around the Sun, about 150 million kilometres from our planet.
Although scientists have discovered thousands of Trojan asteroids accompanying other planets, only one Earth-Trojan has been identified to date, asteroid 2010 TK7.
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Scientists predict that there should be more Trojans sharing Earth's orbit, but they are difficult to detect from Earth as they appear near the Sun on the Earth's horizon.
"Because the Earth's fourth Lagrange point is relatively stable, it is possible that remnants of the material that built Earth are trapped within it," said principal investigator Dante Lauretta of the University of Arizona, Tucson.
On each observation day, the spacecraft's MapCam camera will take 135 survey images that will be processed and examined by the mission's imaging scientists.
The study plan also includes opportunities for MapCam to image Jupiter, several galaxies, and the main belt asteroids 55 Pandora, 47 Aglaja and 12 Victoria, NASA said.
Whether or not the team discovers any new asteroids, the search is a beneficial exercise, researchers said.
The operations involved in searching for Earth-Trojan asteroids closely resemble those required to search for natural satellites and other potential hazards around Bennu when the spacecraft approaches its target in 2018.
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