From Destinypedia, the Destiny wiki
Kestrel is a class of jumpships. Its hull is triangular, with two long "noses" at the front and wings bending downwards. The ships are thought to be late-Golden Age prototype crafts built for long-range travels.
Two popular variants of Kestrels are Slipper Misfit and Spindle Demon. The class also has several subtypes of AX, CX and EX ships. Dead Orbit seems to prefer this class of ships, as the faction-themed jumpships rewarded from Arach Jalaal in Destiny are all Kestrels.
Known Kestrel-class ships