Complex craters are a type of large impact crater morphology.
Above a certain threshold size, which varies with planetary gravity, the collapse and modification of the transient cavity is much more extensive, and the resulting structure is called a complex crater. The collapse of the transient cavity is driven by gravity, and involves both the uplift of the central region and the inward collapse of the rim. The central uplift is not the result of elastic rebound which is a process in which a material with elastic strength attempts to return to its original geometry; rather the uplift is a process in which a material with little or no strength attempts to return to a state of gravitational equilibrium.
Complex craters have uplifted centers, and they have typically broad flat shallow crater floors, and terraced walls. At the largest sizes, one or more exterior or interior rings may appear, and the structure may be labeled an impact basin rather than an impact crater. Complex-crater morphology on rocky planets appears to follow a regular sequence with increasing size: small complex craters with a central topographic peak are called central-peak craters, for example Tycho; intermediate-sized craters, in which the central peak is replaced by a ring of peaks, are called peak ring craters, for example Schrödinger; and the largest craters contain multiple concentric topographic rings, and are called multi-ringed basins, for example Orientale. On icy as opposed to rocky bodies, other morphological forms appear which may have central pits rather than central peaks, and at the largest sizes may contain very many concentric rings – Valhalla on Callisto is the type example of the latter.
Complex craters are classified into two groups: central-peak and peak-ring craters. Peak-ring craters have diameters that are larger in than central-peak craters and have a ring of raised massifs which are roughly half the rim-to-rim diameter, instead of a central peak.
A central-peak crater is the most basic form of complex crater.
When central peaks form
Diameters of craters where complex features form depends on the strength of gravity of the celestial body they occur on. Stronger gravity, such as on Earth compared to the Moon, causes rim collapse in smaller diameter craters. Complex craters may occur at 2 kilometres (1.2 mi) to 4 kilometres (2.5 mi) on Earth, but start from 20 kilometres (12 mi) on the Moon.
If lunar craters have diameters between about 20 kilometres (12 mi) to 175 kilometres (109 mi), the central peak is usually a single peak, or small group of peaks. Lunar craters of diameter greater than about 175 kilometres (109 mi) may have complex, ring-shaped uplifts. If impact features exceed 300 kilometres (190 mi) of diameter, they are called impact basins, not craters.
Height of central peak relative to crater diameter
On Earth's moon, heights of central peaks are directly proportional to diameters of craters, which implies that peak height varies with crater-forming energy. There is a similar relationship for terrestrial meteorite craters, and TNT craters whose uplifts originated from rebound. 
- Impact crater – Circular depression on a solid astronomical body formed by a hypervelocity impact of a smaller object
- Impact structure
- Peak ring (crater) – A roughly circular ring or plateau, possibly discontinuous, surrounds the impact crater's center
- Traces of Catastrophe book from Lunar and Planetary Institute - comprehensive reference on impact crater science
- French, Bevan M (1998). Traces of Catastrophe: A Handbook of Shock-Metamorphic Effects in Terrestrial Meteorite Impact Structures. Houston, Texas: Lunar and Planetary Institute. p. 120. LPI Contribution No. 954.
- "Science Concept 6: The Moon is an Accessible Laboratory for Studying the Impact Process on Planetary Scales".
- Bray, Veronica J. (November 20, 2015). "Central Peak Crater". Encyclopedia of Planetary Landforms. pp. 249–256. doi:10.1007/978-1-4614-3134-3_37. ISBN 978-1-4614-3133-6.
- "Valles Caldra, Jemez Volcanic Field".
- Bray, Veronica J (January 1, 2014). "Central peak crater". researchgate.net.
- French, Bevan M (1998). Traces of Catastrophe: A Handbook of Shock-Metamorphic Effects in Terrestrial Meteorite Impact Structures. Houston, Texas: Lunar and Planetary Institute. p. 27. LPI Contribution No. 954.
- Millham, Rosemary. "Mapping The Surface of the Moon" (PDF).
- Allen, C. C. (April 12, 1975). "Central peaks in lunar craters". Moon. 12 (4): 463–474. Bibcode:1975Moon...12..463A. doi:10.1007/BF00577935. hdl:10150/622036.
- Hodges, Carroll Ann (1992). "Atlas of Volcanic Landforms on Mars" (PDF). pubs.usgs.gov.
- Wood, Charles A. (July 24, 1973). "Moon: Central peak heights and crater origins". sciencedirect.