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Palermo scale

From Wikipedia, the free encyclopedia
Logarithmic scale in astronomy

ThePalermo scale orPalermo technical impact hazard scale is alogarithmic scale used byastronomers to rate the potential hazard of impact of anear-Earth object (NEO). It combines two types ofdataprobability of impact and estimatedkinetic yield—into a single "hazard" value. A rating of 0 means the hazard is equivalent to thebackground hazard (defined as the average risk posed by objects of the same size or larger over the years until the date of the potential impact).[1] A rating of +2 would indicate the hazard is 100 times as great as a random background event. Scale values less than −2 reflect events for which there are no likely consequences, while Palermo scale values between −2 and 0 indicate situations that merit careful monitoring. A similar but less complex scale is theTorino scale, which is used for simpler descriptions in the non-scientific media.

As of 10 April 2025[update], no asteroid has a cumulative rating for impacts above 0, and only two asteroids have ratings between −2 and 0. Historically, three asteroids had ratings above 0 and half a dozen more above −1, but most were downrated since.

Scale

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The Palermo scale was devised for astronomers to compare impact hazards at a technical level, rather than for the general public.[2] It was adopted at the meeting of the Working Group on Near-Earth Objects of the Scientific and Technical Subcommittee of theUnited Nations Committee on the Peaceful Uses of Outer Space which was held inPalermo, Italy, on June 11–16, 2001.[3]

The scale compares the likelihood of the detected potential impact with the average risk posed by objects of the same size or larger over the years until the date of the potential impact. This average risk from random impacts is known as the background risk. The Palermo scale value,P{\displaystyle P}, is defined by the equation:

Plog10pifBT{\displaystyle P\equiv \log _{10}{\frac {p_{i}}{f_{B}T}}}

where

The background impact frequency is defined for this purpose as:

fB=0.03E45 yr1{\displaystyle f_{B}=0.03\,E^{-{\frac {4}{5}}}{\text{ yr}}^{-1}\;}

where the energy thresholdE{\displaystyle E} is measured inmegatons, and yr is the unit ofT{\displaystyle T} divided by one year.

For instance, this formula implies that theexpected value of the time from now until the next impact greater than 1 megaton is 33 years, and that when it occurs, there is a 50% chance that it will be above 2.4 megatonnes. This formula is only valid over a certain range ofE{\displaystyle E}.

However, another paper[4] published in 2002 – the same year as the paper on which the Palermo scale is based – found a power law with different constants:

fB=0.00737E0.9{\displaystyle f_{B}=0.00737E^{-0.9}\;}

This formula gives considerably lower rates for a givenE{\displaystyle E}. For instance, it gives the rate forbolides of 10 megatonnes or more (like theTunguska explosion) as 1 per thousand years, rather than 1 per 210 years (or a 38% probability that it happens at least once in a century) as in the Palermo formula. However, the authors give a rather large uncertainty (once in 400 to 1800 years for 10 megatonnes), due in part to uncertainties in determining the energies of the atmospheric impacts that they used in their determination.

Palermo Background Risk Chart
Energy (MT)Probability
Once in
this many years
At least once in one...
decadecenturymillenniummillion years
0.15.2887.73%>99.99%>99.99%>99.99%
133.326.26%95.24%>99.99%>99.99%
102104.65%37.91%99.15%>99.99%
1001,3270.75%7.26%52.94%>99.99%
1,0008,3730.12%1.19%11.26%>99.99%
10,00052,8300.019%0.19%1.88%>99.99%
100,000333,3330.003%0.03%0.3%95.02%
1,000,0002,103,1910.00048%0.0048%0.048%37.84%
10,000,00013,270,2390.000075%0.00075%0.0075%7.26%
100,000,00083,729,5480.000012%0.00012%0.0012%1.19%
1,000,000,000528,297,7310.0000019%0.000019%0.00019%0.19%
E{\displaystyle E}1fB=1003E0.8{\displaystyle {\frac {1}{f_{B}}}={\frac {100}{3}}E^{0.8}}1(1fB)10{\displaystyle 1-\left(1-f_{B}\right)^{10}}1(1fB)100{\displaystyle 1-\left(1-f_{B}\right)^{100}}1(1fB)1,000{\displaystyle 1-\left(1-f_{B}\right)^{1,000}}1(1fB)1,000,000{\displaystyle 1-\left(1-f_{B}\right)^{1,000,000}}

For asteroids with multiple (n{\displaystyle n}) potential impacts, the cumulative Palermo scale rating,Pcum{\displaystyle P_{cum}}, is the rating that can be calculated with the sum of the probability ratios of the individual potential impacts (each calculated with api{\displaystyle p_{i}} probability and aTi{\displaystyle T_{i}} time until potential impact), which can also be expressed as the logarithm of the sum of 10 raised to thePi{\displaystyle P_{i}} Palermo scale rating of the individual potential impacts:[1]

Pcum=log10i=1npifBTi=log10(i=1n10Pi){\displaystyle P_{cum}=\log _{10}\sum _{i=1}^{n}{\frac {p_{i}}{f_{B}T_{i}}}=log_{10}{\left(\sum _{i=1}^{n}10^{P_{i}}\right)}}

Risk calculation

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Top: example of the shrinking and changing position of the 3-sigma uncertainty region relative to Earth in the B-plane
Bottom: theoretical (blue and dashed red) and observational (crosses and triangles) evolution of impact probability as a function of uncertainty in the close approach distance for a bypass and an impact case, based on a planetary defense exercise using adapted real observations of99942 Apophis

ForNASA, a unit of theJet Propulsion Laboratory (JPL), theCenter for Near-Earth Object Studies (CNEOS) calculates impact risks and assigns ratings in itsSentry Risk Table,[5] while another unit of JPL, Solar System Dynamics (SSD) provides orbital and close approach data.[6] ForESA, similar services are provided by itsNear-Earth Object Coordination Centre (NEOCC), which maintains its own Risk List[7] and Close Approaches List.[8]

The basis for the risk evaluation is the most recent orbit calculation based on all known reliable observations. Along the calculated orbit, close approaches with Earth are determined. Due to measurement and model imprecision, the orbit calculation has an uncertainty, which can be quantified for the close approach distance. Assuming a two-dimensionalGaussian probability distribution in the plane perpendicular to the asteroid's orbit (the B-plane), the uncertainty can be characterised by thestandard deviation (sigma) the close approach point in the directions along the asteroid's orbit and perpendicular to it, where the former is usually much larger. The one-sigma margin, which is used by ESA NEOCC one-sigma,[9] means that the close approach point is within those bounds with a 68.3% probability, while the 3-sigma margin, used by NASA JPL SSD, corresponds to 99.7% probability. The probability of an impact is the integral of the probability distribution over the cross section of Earth in the B-plane.

When the close approach of a newly discovered asteroid is first put on a risk list with a significant risk, it is normal for the risk to first increase, regardless whether the potential impact will eventually be ruled out or confirmed with the help of additional observations.[10] After discovery, Earth will be close to the center of the probability distribution, that is, the 3-sigma uncertainty margin will be much bigger than the nominal close encounter distance. With additional observations, the uncertainty will decrease, thus the 3-sigma uncertainty region will shrink, thus Earth will initially cover an increasing part of the probability distribution, resulting in increased risk, and an increasing rating. If the real orbit bypasses Earth, with further observations, Earth will only intersect the tail of the probability distribution (the 3-sigma region will shrink to exclude the Earth) and the impact risk will fall towards zero; while in case the asteroid will hit the Earth, the probability distribution will contract towards its intersection (the 3-sigma region will shrink into Earth's intersection in the B-plane) and the risk will rise towards 100%.[11]

Asteroids with high ratings

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It has been suggested that this section bemerged withList of objects with non-zero Torino ratings toList of near-Earth objects with significant impact hazard ratings. (Discuss) Proposed since February 2025.

In 2002 the near-Earth asteroid(89959) 2002 NT7 reached a positive rating of 0.18 on the Palermo scale,[12] indicating a higher-than-background threat. The value was subsequently lowered after more measurements were taken.2002 NT7 is no longer considered to pose any risk and was removed from theSentry Risk Table on 1 August 2002.[13]

In September 2002, the highest Palermo rating was that of asteroid(29075) 1950 DA, with a value of 0.17 for a possible collision in the year 2880.[14] By March 2022, the rating had been reduced to −2.0.[15][16] In May 2024, a study that incorporated observations by theastrometry space observatoryGaia increased the impact risk, consequently, the rating was raised above −1 again.[17]

For a brief period in late December 2004, with anobservation arc of 190 days, asteroid99942 Apophis (then known only by itsprovisional designation2004 MN4) held the record for the highest Palermo scale value, with a value of 1.10 for a possible collision in the year 2029.[18] The 1.10 value indicated that a collision with this object was considered to be almost 12.6[19] times as likely as a random background event: 1 in 37[20] instead of 1 in 472. With further observations, the risk of impact during later close approaches was completely eliminated[21] and Apophis was removed from the Sentry Risk Table in February 2021.[13]

As of 14 October 2025[update], on NASA's Sentry Risk Table,[22] two asteroids have a cumulative Palermo scale value above −2:(29075) 1950 DA (−0.92) and101955 Bennu (−1.40). Five have cumulative Palermo scale values between −2 and −3:2025 QF85 (−2.00),2008 JL3 (−2.68),1979 XB (−2.70),2000 SG344 (−2.77) and2010 RF12 (−2.97). Of the 32 that have a cumulative Palermo scale value between −3 and −4, two were discovered in 2024 and five in 2025:2025 LK (−3.48),2025 SC5 (−3.51),2024 JW16 (−3.63),2024 TK5 (−3.63),2025 RM1 (−3.74),2025 DT2 (−3.79) and2025 SQ4 (−3.87).

As of 14 October 2025[update], on the Risk List maintained by theNear-Earth Object Coordination Centre of theEuropean Space Agency (ESA),[23] one asteroid has a cumulative Palermo scale value above −2: 101955 Bennu (−1.41). Five have cumulative Palermo scale values between −2 and −3: 1950 DA (−2.13),2025 QF85 (−2.54),2023 VD3 (−2.67), 1979 XB (−2.70),2008 JL3 (−2.73) and2000 SG344 (−2.77). Of the 27 that have a cumulative Palermo scale value between −3 and −4, three were discovered in 2024 and four in 2025:2025 LK (−3.36),2024 RF10 (−3.51),2024 JW16 (−3.53),2025 SC5 (−3.62),2025 SQ4 (−3.65),2024 TK5 (−3.74) and2025 BA1 (−3.82).

Historic cumulative Palermo ratings above −1 in NASA's Sentry Risk Table
AsteroidPeak hazardHazard as of 10 April 2025[update][22][13]
Palermo ratingRisk relative to
background risk
Torino ratingPalermo ratingRisk relative to
background risk
Torino rating
99942 Apophis1.1012.6× greater (1260%)4removed from list on 21 February 2021
(89959) 2002 NT70.181.51× greater (151%)1removed from list on 1 August 2002
(29075) 1950 DA0.171.48× greater (148%)-−0.928.32× less (12.0%)-
background risk0equal (100%)-0equal (100%)-
2024 YR4−0.181.51× less (66.1%)3−4.2517,783× less (0.0056%)0
(144898) 2004 VD17−0.251.78× less (56.2%)2removed from list on 14 February 2008
(410777) 2009 FD−0.442.75× less (36.3%)-removed from list on 19 November 2020
2022 AE1−0.664.57× less (21.9%)1removed from list on 20 January 2022
2023 GQ2−0.705.01× less (20.0%)1removed from list on 1 May 2023
2013 TV135−0.735.37× less (18.6%)1removed from list on 8 November 2013
(367789) 2011 AG5−1.0010× less (10%)1removed from list on 21 December 2012

See also

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References

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  1. ^ab"Palermo Technical Impact Hazard Scale". NASA/JPLCenter for Near-Earth Object Studies.Archived from the original on 14 November 2017. Retrieved9 February 2025.
  2. ^Chesley, Steven R.; Chodas, Paul W.; Milani, Andrea; Valsecchi, Giovanni B.; Yeomans, Donald K. (October 2002). "Quantifying the risk posed by potential Earth impacts".Icarus.159 (2): 423––432.Bibcode:2002Icar..159..423C.doi:10.1006/icar.2002.6910.
  3. ^Morrison, David; Milani, Andrea; Binzel, Richard; et al. (2003). Rickman, Hans (ed.). Working group on near Earth objects.Transactions of the International Astronomical Union (Report). Vol. XXV A. IAU. pp. 139–140.doi:10.1017/S0251107X00001358.
  4. ^P. Brown; et al. (November 2002). "The flux of small near-Earth objects colliding with the Earth".Nature.420 (6913):294–296.Bibcode:2002Natur.420..294B.doi:10.1038/nature01238.PMID 12447433.S2CID 4380864.
  5. ^"Sentry: Earth Impact Monitoring. Impact Risk Data". NASA JPL CNEOS. Retrieved10 March 2025.
  6. ^"Small-Body Database Lookup". NASA JPL SSD. Retrieved8 February 2025.
  7. ^"Risk List". ESA NEOCC. Retrieved8 February 2025.
  8. ^"Close Approaches". ESA NEOCC. Retrieved8 February 2025.
  9. ^"Help: Object". ESA NEOCC. Retrieved8 February 2025.
  10. ^Bassi, Margherita (6 February 2025)."Astronomers Raise Odds of Asteroid Impact in 2032 to 2.3 Percent—Here's Why You Shouldn't Panic".Smithsonian. Retrieved8 February 2025.
  11. ^Reddy, Vishnu; Kelley, Michael S.; Dotson, Jessie; et al. (May 2022)."Apophis Planetary Defense Campaign".The Planetary Science Journal.3 (5). id. 123, 16 pp.Bibcode:2022PSJ.....3..123R.doi:10.3847/PSJ/ac66eb.hdl:10150/670423.
  12. ^"How A/CC broke the 2002 NT7 story". hohmanntransfer. 29 March 2003. Archived fromthe original on 6 November 2020. Retrieved25 April 2019.
  13. ^abc"Sentry Risk Table - Removed Objects". NASA/JPL Near-Earth Object Program Office.Archived from the original on 17 October 2017. Retrieved10 February 2025.
  14. ^"Asteroid 1950 DA". NASA/JPL Near-Earth Object Program Office. Archived fromthe original on 1 October 2002. Retrieved14 October 2011.
  15. ^"Sentry: Earth Impact Monitoring: 29075". NASA/JPL Near-Earth Object Program Office.Archived from the original on 2 April 2017. Retrieved20 June 2017.
  16. ^"Updated Calculations Refine the Impact Probability for (29075) 1950 DA".Center for NEO Studies (CNEOS). JPL (NASA). Retrieved19 August 2022.
  17. ^Fuentes-Muñoz, Oscar; Farnocchia, Davide; Naidu, Shantanu P.; Park, Ryan S. (31 May 2024)."Asteroid Orbit Determination Using Gaia FPR: Statistical Analysis".The Astronomical Journal.167 (6): 290.Bibcode:2024AJ....167..290F.doi:10.3847/1538-3881/ad4291.
  18. ^Daniel Fischer (27 December 2004)."2004 MN4 Earth Impact Risk Summary (computed 27 December 2004)". The Cosmic Mirror. Archived fromthe original on 14 March 2005. Retrieved4 November 2011.
  19. ^Math: 101.10 = 12.589
  20. ^"Predicting Apophis' Earth Encounters in 2029 and 2036". NASA/JPL Near-Earth Object Program Office. Archived fromthe original on 18 November 2007. Retrieved28 December 2007.
  21. ^"NASA Analysis: Earth Is Safe From Asteroid Apophis for 100-Plus Years".News. NASA/JPL. 25 March 2021.Archived from the original on 12 December 2024. Retrieved2 January 2025.
  22. ^ab"Sentry: Earth Impact Monitoring - Impact Risk Data".Jet Propulsion Laboratory.Archived from the original on 31 January 2025. Retrieved10 March 2025.Use unconstrained settings, sort by Palermo Scale (cum.)
  23. ^"Risk List".ESANEOCC. Retrieved3 March 2025.

Further reading

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External links

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Main topics
Defense
Space probes
NEO tracking
Organizations
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Potential threats
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