ArticleslgStudy

astronomy

Palermo scale

Palermo scale is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Palermo scale rather than just read about it. In short: The Palermo scale or Palermo technical impact hazard scale is a logarithmic scale used by astronomers to rate the potential hazard of impact of a near-Earth object (NEO). It combines two types of data—probability of impact and estimated kinetic yield—into a single "hazard" value.

Palermo scale — main illustration
Palermo scale — illustration

Key takeaways

  • Palermo scale belongs to astronomy; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Palermo scale to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Palermo scale from memory before moving on to harder problems.

Reference excerpt

The Palermo scale or Palermo technical impact hazard scale is a logarithmic scale used by astronomers to rate the potential hazard of impact of a near-Earth object (NEO). It combines two types of data—probability of impact and estimated kinetic yield—into a single "hazard" value. A rating of 0 means the hazard is equivalent to the background 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). 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 the Torino scale, which is used for simpler descriptions in the non-scientific media. As of 2 April 2026, no asteroid has a cumulative rating for impacts above 0, and only two asteroids—(29075) 1950 DA and 101955 Bennu—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 The Palermo scale was devised for astronomers to compare impact hazards at a technical level, rather than for the general public. It was adopted at the meeting of the Working Group on Near-Earth Objects of the Scientific and Technical Subcommittee of the United Nations Committee on the Peaceful Uses of Outer Space which was held in Palermo, Italy, on 11–16 June 2001. 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:

P ≡ log 10 ⁡ p i f B T {\displaystyle P\equiv \log _{10}{\frac {p_{i}}{f_{B}T}}}

where

p i {\displaystyle p_{i}} is the impact probability

T {\displaystyle T} is the time interval until the potential impact that is considered

f B {\displaystyle f_{B}} is the background impact frequency The background impact frequency is defined for this purpose as:

f B = 0.03 E − 4 5 yr − 1 {\displaystyle f_{B}=0.03\,E^{-{\frac {4}{5}}}{\text{ yr}}^{-1}\;}

where the energy threshold E {\displaystyle E} is measured in megatons, and yr is the unit of T {\displaystyle T} divided by one year. For instance, this formula implies that the expected 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 of E {\displaystyle E} . However, another paper published in 2002 – the same year as the paper on which the Palermo scale is based – found a power law with different constants:

f B = 0.00737 E − 0.9 {\displaystyle f_{B}=0.00737E^{-0.9}\;}

This formula gives considerably lower rates for a given E {\displaystyle E} . For instance, it gives the rate for bolides of 10 megatonnes or more (like the Tunguska 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.

For asteroids with multiple ( n {\displaystyle n} ) potential impacts, the cumulative Palermo scale rating, P c u m {\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 a p i {\displaystyle p_{i}} probability and a T i {\displaystyle T_{i}} time until potential impact), which can also be expressed as the logarithm of the sum of 10 raised to the P i {\displaystyle P_{i}} Palermo scale rating of the individual potential impacts:

… excerpt ends here. Continue reading the full article.

Illustrations

Palermo scale illustration

Worked examples

Example 1 — a first encounter with Palermo scale

Start with the simplest possible case. Write down what Palermo scale claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Palermo scale before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Palermo scale ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Palermo scale

In research
Palermo scale appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Palermo scale in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Palermo scale is common in secondary-school and first-year university syllabi. It links to neighbouring topics Alert measurement systems, Hazard scales, Logarithmic scales of measurement, so understanding it makes those chapters shorter.
In everyday life
Look for Palermo scale outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Palermo scale in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Palermo scale means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Palermo scale out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Palermo scale in simple terms?

The Palermo scale or Palermo technical impact hazard scale is a logarithmic scale used by astronomers to rate the potential hazard of impact of a near-Earth object (NEO). It combines two types of data—probability of impact and estimated kinetic yield—into a single "hazard" value.

Why does Palermo scale matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Palermo scale?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Palermo scale.

Tags

  • Alert measurement systems
  • Hazard scales
  • Logarithmic scales of measurement
  • Planetary defense

Keep exploring