Damocloids are a class of minor planets such as 5335 Damocles and 1996 PW that have Halley-type or long-period highly eccentric orbits typical of periodic comets such as Halley's Comet, but without showing a cometary coma or tail. David C. Jewitt defines a damocloid as an object with a Jupiter Tisserand invariant (T_J) of 2 or less,^[1][a] while Akimasa Nakamura defines this group with the following orbital elements:^[2]

• q < 5.2 AU, a > 8.0 AU, and e > 0.75,
• or alternatively, i > 90°

However, this definition that does not focus on Jupiter excludes objects such as (127546) 2002 XU93, 2003 WG₁₆₆, and (661238) 2004 DA₆₂.^[3]

Using the Tisserand's parameter with respect to Jupiter of 2 or less, there are currently 220 damocloid candidates as of January 2022^[update].^[4] Of these objects, 189 have orbital observation arcs greater than 30 days providing reasonably decent orbits.^[1][5] Their average radius is eight kilometers assuming an albedo of 0.04. The albedos of four damocloids have been measured, and they are among the darkest objects known in the Solar System.^{[citation needed]} Damocloids are reddish in color, but not as red as many Kuiper-belt objects or centaurs. Other damocloids include: (709487) 2013 BL76, (668643) 2012 DR30, (528219) 2008 KV42, (65407) 2002 RP120, and 20461 Dioretsa.

Retrograde objects such as Halley's Comet and damocloid 343158 Marsyas can have relative velocities to Earth of 81 km/s (290,000 km/h).^[6]

Damocloids are thought to be nuclei of Halley-type comets that have lost all their volatile materials due to outgassing and become dormant. Such comets probably originate from the Oort cloud. This hypothesis is strengthened by the fact that a number of objects thought to be damocloids (and assigned minor-planet provisional designations) subsequently showed a coma and were confirmed to be comets: C/2001 OG₁₀₈ (LONEOS), C/2002 CE₁₀ (LINEAR), C/2002 VQ₉₄ (LINEAR), C/2004 HV₆₀ (Spacewatch) and possibly others. Another strong indication of cometary origin is the fact that some damocloids have retrograde orbits—they have an inclination beyond 90 degrees up to 180 degrees.

As of August 2021^[update] this list from the JPL SBDB contains 20 numbered and 268 unnumbered bodies that meet Akimasa Nakamura's criteria for being classified as a damocloid, that is, either a retrograde orbit, or the following orbital elements: q < 5.2 AU, a > 8.0 AU, and e > 0.75 (also see § top). Tisserand's parameter with respect to Jupiter (T_Jupiter) is also given.^[a] Akimasa Nakamura's criteria and a T_Jupiter of less than two are largely equivalent as only a few listed bodies do not meet the defined T_Jupiter threshold. Most damocloids are also listed on MPC's list of other unusual minor planets.^[7] The orbital data is sourced from JPL-numbered and -unnumbered element files.^[8] The list includes A/-designated objects (introduced in 2017) that were mistakenly identified as a comet, but are actually minor planets. However it excludes hyperbolic bodies such as A/2019 G4 as well as unbounded, interstellar objects such as 1I/ʻOumuamua and 2I/Borisov.