It has an ecliptic orbit characterized by a semi-major axis equal to 2.6941350 AU and an eccentricity of 0.1047081, 6.55157 °.

Lutetia orbits the Sun at the distance of approximately 2.4 AU in the inner asteroid belt. Its orbit lies almost in the plane of ecliptic and is moderately eccentric.

The analysis of "Rosetta" images in combination with photometric light curves yielded the position of the north rotational pole of Lutetia: ; . This gives an axial tilt of 96° (retrograde rotator), meaning that the axis of rotation is approximately parallel to the ecliptic, similar to the planet Uranus.

Ecliptic's Capricorn possessed superhuman strength, uses its horns to attack, wields a gun, and possesses the Zodiac's teleportation device.