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Complex crater

A complex crater is a type of impact structure resulting from the hypervelocity collision of a meteoroid, asteroid, or comet with a planetary body, distinguished by its modified morphology featuring a central peak or ring, terraced walls, and a relatively flat floor, formed during the gravitational collapse of the initial transient crater. Unlike smaller, bowl-shaped simple craters, complex craters arise above specific diameter thresholds that depend on the planet's gravity and the target's lithology, typically starting at 2–4 km on Earth in sedimentary rocks and around 15 km on the Moon. These structures represent the dominant landform on airless bodies like the Moon and many asteroids, where billions of craters record the solar system's bombardment history. The formation of complex craters involves three main stages: contact and compression, during which the penetrates and compresses the ; excavation, during which material is displaced to create a transient whose is typically 0.6–0.8 times the final ; and modification, dominated by slumping of the walls and of the floor to form the central uplift, which can reach heights of 1–2 km. This process leads to shallower depths relative to compared to simple craters, with complex crater depths increasing slowly (e.g., as the 0.3 power of on the ). Terraces form as unstable walls inward, while the central peak results from and flow of deep-seated rocks, often exposing deeper crustal layers. At even larger sizes (e.g., >80 km on or >200 km on the ), central-peak complex craters transition into peak-ring basins and eventually multi-ring basins with additional internal rings instead of a single peak. Notable examples include the Copernicus crater on the (93 km diameter), showcasing a prominent central peak and terraced rims, and the Mistastin crater in (28 km), a well-preserved complex structure in crystalline rocks. On Mars, complex craters like those in the exhibit similar features but are influenced by the planet's lower gravity, allowing larger structures to form at smaller impact energies. These craters provide critical insights into , including shock metamorphism, ejecta blankets, and the scaling laws of impact events across the solar system.

Definition and Basics

Definition

A complex crater is a type of formed by the hypervelocity collision of a or with a , distinguished from simpler bowl-shaped craters by its more elaborate resulting from post-impact modifications during the crater's collapse phase. These craters typically exhibit a central uplift, such as a or , terraced walls formed by gravitational slumping, and a relatively flat floor filled with collapse debris and melt. The central uplift arises from the rebound of compressed target material, while the terraced walls and flat floor reflect the structural instability of larger excavation cavities. In the broader classification of impact craters, complex craters occupy an intermediate position between simple craters—which are small, bowl-like depressions without significant internal structure—and larger multi-ring basins, which feature multiple concentric rings due to extensive collapse. The transition from simple to complex morphology occurs when the initial transient crater becomes unstable under gravity, leading to uplift and wall failure rather than retaining a parabolic . This shift is primarily governed by crater , with the threshold marking the onset of complex features. On , complex craters generally form at diameters greater than 4 km in crystalline target rocks, though the threshold can be as low as 2 km in layered sedimentary materials due to differences in mechanical strength. Across planetary bodies, this transition diameter scales inversely with ; for instance, it occurs at larger sizes on low-gravity worlds like the (around 15-20 km). These variations highlight how influences the stability of the post-excavation cavity during modification.

Transition to Complex Morphology

The transition from to complex crater morphology occurs when the impactor's energy excavates a transient crater large enough that forces overcome the target's material strength, leading to structural instability and modification of the initial bowl shape. This shift is primarily governed by the final diameter, which serves as a proxy for the transient cavity size, with thresholds varying significantly across planetary bodies due to differences in and target . On , the transition typically happens at diameters of approximately 4 km in crystalline rock terrains, reflecting the higher that promotes earlier wall collapse. In contrast, on the and Mars, where is lower (about 1/6th and 3/8ths of 's, respectively), the threshold is larger, around 15–20 km for the and 5–8 km for Mars, allowing simple bowl-shaped forms to persist to greater sizes before complexity emerges. On icy satellites like , with low effective strength in the ice-rich crust despite similar to the , the transition occurs at even smaller diameters of about 2 km. The key mechanism involves the dimensions of the transient crater—the initial excavation cavity formed immediately after —whose depth and dictate whether the structure remains stable or undergoes rebound and collapse. For craters, below these thresholds, the transient crater closely matches the final form, maintaining a parabolic bowl profile with depth-to- ratios around 0.2, as the walls are supported by rock strength without significant slumping. Above the thresholds, the transient cavity a depth of about one-fifth its triggers inelastic deformation, where the central floor rebounds to form an uplift— a hallmark of complex —while rim segments collapse inward, though detailed uplift processes are distinct. This transition is not abrupt but gradational, with "transitional" craters exhibiting partial features like incipient peaks over a range of several kilometers. Observational evidence for these thresholds comes from systematic crater counting and morphometric analyses on planetary surfaces, revealing clear bimodal distributions in depth-diameter relationships that mark the onset of complexity. Lunar catalogs of thousands of fresh craters, for instance, show a sharp increase in flat floors and central peaks beyond 15 km, confirming the transition via high-resolution imagery from missions like Apollo and LRO. Similar patterns on Mars, derived from global databases exceeding 300,000 craters, demonstrate the 5–8 km shift through Viking and data, while Ganymede's smaller threshold is evident in Voyager and Galileo observations of over 100 measured craters, highlighting the role of icy in accelerating morphological .

Morphological Features

Central Uplift Structures

Central uplift structures form the most prominent interior feature of complex craters, distinguishing them from simpler bowl-shaped morphologies. In smaller complex craters, the central uplift typically manifests as a conical or irregular central rising from the crater floor; on , complex craters begin at 2–4 km diameter, with central peaks common up to ~80 km, while on the , complex craters start at ~15–20 km, with central peaks typical up to ~175 km. As crater size increases beyond these ranges, the central uplift evolves into more elaborate forms: peak rings beginning at ~80–150 km diameter on and ~200 km on the , where an annular ridge replaces the single peak, and proto-basin configurations in even larger impacts exceeding ~300 km on the , marking a transitional stage toward multi-ring basins. These variations reflect the increasing role of structural complexity during post-impact modification, influenced by planetary gravity and target properties. The geometry of central peaks follows an empirical power-law relation derived from observations of using Lunar Orbiter Laser Altimeter () data, such as h_{cp} = 0.034 D^{0.883} for highland terrains (where h_{cp} is peak height and D is crater diameter in km), applied to fresh complex craters spanning diameters of 15 to ~100 km. Log-log plots of measured peak heights against diameters yield these power-law , indicating that peak height grows sublinearly with crater scale before declining in very large examples due to enhanced collapse dynamics. For instance, a 20 km diameter crater might exhibit a central peak around 0.3 km high, consistent with this across highland and mare terrains. Compositionally, central uplifts expose rocks excavated from depths of several kilometers below the pre-impact surface, often comprising the deepest levels of the target sequence. These materials are intensely deformed, featuring shock such as shatter cones, planar deformation features in , and high-pressure mineral phases like or stishovite, alongside partial melting that produces impact melt rocks or breccias. In peak-ring craters larger than 100 km, such as the lunar Schrödinger basin (approximately 320 km diameter), the ring structures similarly consist of uplifted, shocked rocks interspersed with fallback and melt sheets, providing windows into otherwise inaccessible subsurface lithologies. The formation of these structures arises primarily from the elastic rebound of the transient floor immediately after excavation, where compressive stresses during cause the deep-seated material to oscillate and rebound upward as the dissipates. This upward displacement, combined with subsequent gravitational adjustment, elevates the central region by 20-50% of the transient cavity depth, fracturing and mixing the rocks in a process facilitated by acoustic fluidization in larger craters.

Rim and Wall Terraces

In complex craters, the rim and wall terraces form through the inward collapse of the initially steep transient crater margins during the modification stage of impact cratering. This process creates terraced margins characterized by fault-bounded blocks that slide downward and inward, resulting in scalloped walls with a series of stepped ledges facing the crater interior. The collapse is driven by gravitational instability, where the oversteepened walls fail along concentric, listric faults—curved normal faults that flatten with depth—allowing coherent blocks of target rock to rotate and slide as rigid units in a kinematic model akin to large-scale rotational slumps. The number of terraces typically ranges from 5 to 10, increasing with crater size, while the total width of the terrace zone comprises approximately 20-30% of the final crater diameter, with individual terrace widths generally widening outward toward the crest. This structural arrangement reduces the overall wall slope from the transient crater's near-vertical angle to a more stable configuration, complementing the central uplift in maintaining the crater's shallower profile. Preservation of rim and wall terraces varies by planetary environment; on airless bodies like the , they remain prominent due to minimal , as seen in well-exposed examples such as Theophilus crater. On , however, terraces are often obscured or modified by post-impact , sedimentation, and isostatic rebound, which can uplift or distort the structure over geological time.

Floor Deposits and Ejecta Blanket

In complex craters, the floor deposits primarily form during the modification stage of impact cratering, where the collapse of the transient crater's walls and the rebound of the central uplift contribute to infilling the interior with a variety of materials. This results in a relatively flat but hummocky surface characterized by layered breccias, impact melt sheets, and fallback that pond in topographic lows. The deposits typically include allochthonous breccias such as —polymict breccias containing shocked clasts and variable amounts of melt—overlying more coherent melt rocks, with thicknesses reaching up to one-third of the rim-to-floor depth in some cases. Terrace collapse provides a significant source of wall-derived debris that mixes with these materials to smooth the floor. The blanket surrounding craters consists of layered, continuous deposits of excavated material emplaced primarily through ballistic trajectories during the excavation and early modification phases. These deposits extend outward for 1–3 crater radii from the rim, exhibiting radial patterns influenced by and velocity, with proximal regions showing thicker, more cohesive layers transitioning to thinner, discontinuous rays distally. Compositional zoning is evident, with proximal ejecta enriched in shocked fragments from deeper excavation levels, while distal portions primarily comprise unshocked or lightly shocked clasts from shallow depths, often forming polymict breccias with inverted . Ejecta thickness decays rapidly with radial distance, following a power-law relationship approximately t \propto r^{-3}, where t is thickness and r is distance from the crater center, reflecting the volume conservation of ballistically emplaced material. This results in the thickest accumulations near the rim, thinning to less than 1% of rim thickness beyond 2–3 radii. Secondary impact craters, formed by fallback of ejecta fragments, are common within the blanket, particularly in proximal zones, adding to its hummocky texture and complicating stratigraphic interpretation.

Formation Process

Initial Impact and Excavation

The formation of a complex crater begins with the of a , typically an or , traveling at speeds exceeding 10 km/s. Upon contact, the immense is rapidly converted into shock waves that propagate through both the projectile and the target material, compressing and heating it to extreme conditions. These shocks, with pressures reaching hundreds of gigapascals, cause immediate and at the , forming a vapor plume that expands supersonically. The shock waves weaken as they expand hemispherically into the target, transitioning from strong shocks to , with pressure decaying as P \propto (L/r)^n where n ranges from 2 to 4, L is a , and r is the radial distance. During the excavation phase, which lasts seconds to minutes depending on crater size, the transient cavity forms through outward and upward flow of material driven by the expanding shock and rarefaction waves. is launched along parabolic trajectories, primarily at angles near 45°, forming a of that deposits in a radial pattern beyond the crater rim. The transient crater typically achieves a depth approximately one-third of its , with the maximum excavation depth reaching about 0.1 to 0.14 times the transient crater , and its scales as V \propto D^3, where D is the . This excavation removes material from the upper one-third to one-half of the transient depth, with finer particles ejected farther than coarser ones. Energy partitioning in this initial phase is highly inefficient for crater excavation, with approximately 90% of the projectile's transformed into heat and deformation, while only about 10% contributes to the of ejected material. This is quantified by the cratering efficiency parameter \pi_v = (g D / KE)^{1/3}, where g is , D is diameter, and KE is the projectile's , which scales the velocity regime and highlights the dominance of thermal effects. For complex craters, which form at larger diameters (typically >4 km on ), the greater energy input amplifies propagation and heating, leading to more extensive and compared to simple craters, though the fundamental excavation mechanics remain similar.

Uplift and Structural Collapse

Following the excavation , the modification of complex crater formation begins with the central , where the of the transient undergoes rapid gravitational uplift due to the elastic and plastic response of the underlying rocks. This oscillatory motion peaks as the central material rises, often exposing deeply buried strata, before partially collapsing to form a central peak or . In numerical models, the central uplift height can reach up to 4 km for a 40 km crater on , representing a significant that exhumes rocks from depths comparable to the transient . Concurrently, the crater rim experiences structural collapse through a of outward-directed flow and inward slumping of the steep walls, driven by gravitational instability. This process generates fault-bounded terraces along the inner rim via viscoplastic relaxation, where shocked target rocks temporarily lose strength and behave like a fluid-like medium. Rheological models, such as acoustic fluidization, explain this by proposing that seismic vibrations reduce the effective and yield strength of the rocks, allowing Bingham-like flow with low yield stresses around 30 bars and friction angles below 5 degrees. The timescales for these processes are brief: central uplift occurs over seconds to minutes, governed by the characteristic time scale (D/g)^{1/2}, where D is the crater diameter and g is , while the full structural collapse extends to tens of minutes for kilometer-scale craters. In larger structures, rheological weakening via acoustic energy dissipation enables prolonged flow, with models showing decay times up to 16 seconds in some simulations. For Earth-like conditions, a 100 km crater completes modification in approximately 100 seconds. In very large craters exceeding 100 km in , the intensified rebound and collapse lead to a transition toward multi-ring basin , where excessive outward collapse of the central uplift forms inner rings at roughly half the final , influenced by lithospheric strength and subsurface rather than simple gravitational . This shift is evident in structures like lunar peak-ring basins, where the central rebound overshoots and collapses to produce multiple concentric features.

Examples and Occurrences

Terrestrial Examples

Complex craters on Earth are rare due to geological processes that obscure their features, but several well-studied examples illustrate the morphology and geological context of these structures. The in , formed approximately 2.023 billion years ago, represents the largest known terrestrial complex crater with an estimated original diameter of about 250–300 km. Deep erosion has exposed the central uplift, known as the Vredefort Dome, which is roughly 60–90 km in diameter and reveals basement rocks uplifted from depths exceeding 40 km. This exposure highlights central uplift structures and ring faults typical of complex craters, though extensive weathering has removed much of the original rim and . The , located on the in , is a ~180 km diameter complex crater formed 66 million years ago and widely linked to the Cretaceous-Paleogene (K-Pg) mass that eliminated non-avian dinosaurs. Buried beneath ~600 meters of Tertiary sediments and the seafloor, its — an inner ring of uplifted fractured rocks ~80 km in diameter— was confirmed through (IODP) drilling in 2016, which recovered core samples showing shocked minerals like . This drilling also revealed hydrothermal alteration in the peak ring, providing insights into post-impact processes within the crater floor deposits. Another prominent example is the in southeastern , , a ~90 km diameter complex crater formed about 35.5 million years ago by an 3–5 km in diameter striking a shallow . Largely and buried under up to 500 meters of sediments, it features a central uplift and collapsed rim, with ejecta layers distributed across the Atlantic , including tektites and found in sediments. The structure's preservation is complicated by its marine setting, which has led to infilling by sediments and minor tectonic disruption. Terrestrial complex craters face significant preservation challenges from , , and tectonic activity, which often erode rims, bury floors, and obscure morphological features like central uplifts and terraces that are better preserved on airless bodies such as the . For instance, long-term rates averaging 10–100 m per million years have reduced many structures to subtle topographic lows, making rim identification difficult without geophysical surveys or . These processes contrast with the relative visibility of blankets and wall terraces in less degraded examples like and Chicxulub.

Extraterrestrial Examples

Complex craters are prevalent on airless bodies like the , where the absence of atmosphere and erosion preserves their morphological features, showcasing central peaks, terraced rims, and blankets in greater detail than on Earth. On the , Tycho crater, approximately 85 km in diameter, exemplifies a fresh complex crater with prominent extending across the surface, highlighting the visibility of ballistic in vacuum conditions. Similarly, Copernicus crater, about 93 km across, displays well-defined terraced walls and a central peak complex, illustrating the structural collapse phase typical of lunar impacts. Mars hosts some of the Solar System's largest complex craters, influenced by its intermediate gravity and thin atmosphere, which allows for extensive blankets but some wind modification. Hellas Planitia, a vast multi-ring impact basin roughly 2,300 km in diameter, represents an extreme example of complex crater evolution, with nested rings formed during uplift and collapse under Martian gravity. , approximately 1,800 km across, is another well-preserved multi-ring structure in the southern highlands, featuring rugged rims and floor deposits that reflect the planet's basaltic terrain. On icy satellites of , lower gravity and volatile-rich surfaces lead to distinct complex crater morphologies, often with shallower depths and multi-ring basins due to the ductile response of . Callisto's Valhalla basin, spanning about 3,000 km, is a prominent multi-ring complex with a bright central zone surrounded by concentric scarps, demonstrating how impacts on icy bodies produce expansive ring systems. exhibits larger transition diameters from simple to complex craters compared to rocky bodies, attributed to its low of 1.43 m/s², which delays the onset of central uplift formation. Remote sensing missions have been crucial in revealing these extraterrestrial complex craters' details. The Apollo missions provided early orbital imagery of lunar features like and Copernicus, capturing high-resolution views that informed impact models. For Mars, the Mars Reconnaissance Orbiter's instrument has imaged numerous complex craters, exposing central peaks and terraced walls to study mineral variations and formation processes.

Influencing Factors

Size and Gravity Thresholds

The onset of complex crater morphology is primarily governed by the interplay between crater diameter and surface gravity, which determines whether gravitational forces can overcome material strength to cause structural collapse and central uplift formation. For craters below a critical transition diameter D_t, the morphology remains simple, with a bowl-shaped profile. Above D_t, gravity induces collapse of the transient crater walls, leading to terraced rims and central peaks or rings characteristic of complex craters. This threshold varies significantly across planetary bodies due to differences in gravitational acceleration g. Theoretical models of cratering , based on π-group laws, predict that the transition scales with as D_t \propto g^{-0.22 \text{ to } -0.33}, reflecting the balance between inertial, gravitational, and strength forces during impact excavation and modification. These relations derive from of the partitioning in impacts, where the -scaled size parameter \pi_2 = 1.61 \rho_t g D^3 / E (with \rho_t as target and E as impactor ) reaches a at the onset of . Analogies to point-source explosions, where craters form from buried releases, provide the foundational for these laws, treating the impact as an instantaneous deposition followed by hydrodynamic flow and gravitational adjustment. Numerical hydrocode simulations, such as those using the iSALE code, validate this by modeling the full formation sequence, demonstrating how lower g delays wall , requiring larger diameters for complex features to emerge. Observed transition diameters illustrate this gravity dependence on rocky bodies with comparable material properties. On high-gravity worlds (g \approx 9.8 m/s²), D_t is small, around 3–4 km for crystalline targets, while on the (g \approx 1.6 m/s²), it increases to approximately 15–20 km. Similarly, Mars and Mercury, both with g \approx 3.7 m/s², show D_t values of about 7 km and 10–12 km, respectively, consistent with the scaling. On low-gravity asteroids (g \approx 0.25 m/s²), the threshold is roughly 25–60 km. For icy satellites (g \approx 1.2 m/s²), the threshold is smaller at ~2 km due to the weakness of facilitating earlier collapse, despite gravity similar to the 's. These variations underscore the dominant role of g in modulating the morphological , modulated by target .

Target Material Properties

The composition and physical state of the target material significantly influence the morphology and structural evolution of complex craters, primarily by modulating the response to pressures, excavation dynamics, and post-impact . In targets with varying mechanical properties, such as strength, , and , the from to complex crater forms occurs at lower diameters compared to homogeneous strong rock, as weaker materials facilitate earlier wall slumping and central uplift. This variability arises because target properties determine the during the transient phase and the subsequent gravitational adjustment, leading to distinct features like terraces, peaks, or pits. Layered targets, common in sedimentary basins where unconsolidated sediments overlie competent , promote enhanced slumping of crater walls and the formation of thick lenses during collapse. The strength contrast between layers induces differential deformation, with weaker upper sediments failing preferentially and incorporating fragmented into breccias, resulting in shallower s and more pronounced terracing. Numerical simulations of such targets demonstrate that increasing the thickness or of weak layers can enlarge the final crater radius by up to 28% while reducing depth by 37%, as observed in terrestrial examples like the Haughton and Ries craters. In volatile-rich icy targets, such as those on , complex craters exhibit shallower profiles and distinctive central pits or domes compared to rocky targets, due to the lower and rapid viscous relaxation of . The presence of underlying liquid water or warm convective layers exacerbates this, producing wider wall terraces and promoting pit formation in craters exceeding 15 km in diameter, as the volatile content facilitates material flow and inhibits rebound. These features contrast with rock-dominated craters, where higher rigidity supports taller central peaks and narrower rims. On icy satellites like and Callisto, the simple-to-complex transition occurs at small diameters (~2 km), highlighting material weakness's role in lowering thresholds. Target strength and play critical roles in lowering the for complex crater formation, as porous materials reduce overall resistance to deformation despite absorbing energy in compaction, which diminishes cratering efficiency and typically results in smaller transient cavities. High-porosity targets (e.g., with φ > 0.5) thus promote earlier collapse at smaller scales due to reduced strength. Water-saturated or volatile-bearing targets further enhance structural collapse in complex craters by generating high pore pressures and vapor expansion, which weaken walls and accelerate slumping. In such environments, shock-induced melting interacts with fluids to produce pseudotachylytes—quenched frictional melt veins—or fluidal clasts with vesicular textures, dispersing melt and forming suevite-like deposits rather than coherent sheets. This results in 20-50% larger crater diameters compared to dry equivalents, as volatiles like H₂O vaporize at pressures above 100 kbar, boosting excavation and inhibiting peak preservation.

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