Its discovery was announced by Scott S. Sheppard, David C. Jewitt, Jan Kleyna, and Brian G. Marsden on 13 April 2007 from observations taken between 5 January 2006 and 22 March 2007.

The Tarqiupian (Tarqeqian)[a] orbit lies at an inclination of 49.90° (to the ecliptic; 49.77° to Saturn's equator), with an eccentricity of 0.1081[1] and a semi-major axis of 17.9106 Gm.

Tarqeq orbits in a prograde direction with a period of 894.86 days.

Tarqeq is the slowest-rotating irregular moon measured by Cassini–Huygens, with a period of about 76.13±0.01 h and a roughly ellipsoidal shape.

[4] It has very similar inclination and semi-major axis as Siarnaq, suggesting that it is a fragment of the latter.