Bortle Scale Calculator
Estimate your sky darkness on the Bortle scale based on naked-eye limiting magnitude. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer
Bortle Scale Calculator
Calculator
Adjust values & calculateEnter your values below. Every result is computed in your browser โ no data is sent to any server.
Formula: Bortle Class = f(NELM) adjusted for elevation, humidity, and Moon phase
Worked example โ Base: Bortle 6 | Effective: Bortle 8 (with Moon) | Can see M31, M44 with difficulty
Formula
Bortle Class = f(NELM) adjusted for elevation, humidity, and Moon phase
The Bortle class is determined primarily by the Naked-Eye Limiting Magnitude (NELM) โ the faintest star visible without optical aid. Higher NELM values indicate darker skies. Elevation improves seeing by ~0.1 mag per 1000m, high humidity reduces it, and moonlight can reduce effective NELM by up to 3 magnitudes.
Worked Examples
Example 1: Suburban Backyard Assessment
Problem:From your suburban backyard, the faintest star you can see is magnitude 5.2. Elevation is 200m, humidity 60%, and the Moon is at 30% illumination. What is your Bortle class and what can you observe?
Solution:Base NELM: 5.2 -> Bortle Class 6 (Bright Suburban) Elevation adjustment: +200/1000 x 0.1 = +0.02 Humidity (60%): -0.1 Moon (30%): -0.9 Effective NELM: 5.2 + 0.02 - 0.1 - 0.9 = 4.22 Effective Bortle: Class 8 (City Sky) SQM: ~19.50 mag/arcsec2 (base) Stars visible: ~830
Result:Base: Bortle 6 | Effective: Bortle 8 (with Moon) | Can see M31, M44 with difficulty
Example 2: Dark Sky Site Evaluation
Problem:At a mountain observatory at 2,500m elevation, you see stars to magnitude 7.2. Humidity is 30% and it is a new Moon (0%). Evaluate the site.
Solution:Base NELM: 7.2 -> Bortle Class 2 (Typical Dark Site) Elevation: +2500/1000 x 0.1 = +0.25 Humidity (30%): no penalty Moon (0%): no penalty Effective NELM: 7.2 + 0.25 = 7.45 Effective Bortle: Class 2 SQM: ~21.89 mag/arcsec2 Stars visible: ~7,600 Astrophotography: Excellent
Result:Bortle 2 | Excellent for deep sky | M33 easy naked eye | Zodiacal light vivid
Frequently Asked Questions
What is the Bortle scale and how is it used in astronomy?
The Bortle Dark-Sky Scale is a nine-level numeric scale that measures the night sky brightness at an observing location. It was created by amateur astronomer John E. Bortle and published in Sky and Telescope magazine in February 2001. Class 1 represents the darkest possible sky visible from Earth, found only in the most remote locations far from any artificial lighting. Class 9 represents inner-city skies where only the Moon, planets, and a few of the brightest stars are visible. Astronomers and stargazers use the Bortle scale to rate potential observing sites, plan what objects they can observe, determine appropriate telescope equipment, and evaluate conditions for astrophotography. The scale correlates with measurable quantities like sky brightness in magnitudes per square arcsecond.
How do you determine your Bortle class using naked-eye limiting magnitude?
Naked-Eye Limiting Magnitude (NELM) is the faintest star you can see without optical aid, and it directly maps to the Bortle scale. To measure your NELM, go outside after your eyes have dark-adapted for at least 20 minutes and locate a star chart showing magnitudes of stars in a familiar constellation. Try to identify the faintest stars visible in an area well above the horizon. If you can see stars to magnitude 7.6 or fainter, you are at Bortle Class 1. Magnitude 6.6 to 7.0 indicates Class 3. Magnitude 5.6 to 6.1 indicates Class 5. Magnitude 4.6 to 5.0 indicates Class 7. Below magnitude 4.0, you are at Class 9. The triangle of stars in the constellation Lyra near Vega is a popular test area, as its stars range from magnitude 3.2 to 4.3.
What effect does light pollution have on astronomical observations?
Light pollution dramatically reduces what you can observe in the night sky. In a Bortle Class 1 site, approximately 9,000 stars are visible to the naked eye, the Milky Way casts visible shadows on the ground, and faint objects like the zodiacal light and gegenschein are easily visible. At Bortle Class 5, a typical suburban sky, only about 1,500 stars are visible, the Milky Way appears weak and washed out, and most deep-sky objects require optical aid. At Bortle Class 9, inner-city skies show fewer than 200 stars and only the brightest constellations are recognizable. For telescope users, light pollution reduces contrast and limiting magnitude by 2 to 4 magnitudes, making faint galaxies, nebulae, and star clusters difficult or impossible to observe even with large apertures.
How does moon phase affect night sky darkness and observing quality?
The Moon is a significant natural source of sky brightness that temporarily shifts your effective Bortle class. A full Moon brightens the sky by roughly 2 to 3 magnitudes per square arcsecond, effectively turning a Bortle Class 3 rural sky into the equivalent of a Bortle Class 5 or 6 suburban sky. Even a half Moon (first or third quarter) reduces NELM by about 1 magnitude. The Moon affects observations most when it is above the horizon and near the objects you are trying to view. Deep-sky observers and astrophotographers carefully plan sessions around the lunar cycle, avoiding the week surrounding full Moon for faint targets. Planetary and lunar observers actually benefit from moonlit nights since they observe bright objects anyway. The optimal deep-sky window is typically 5 to 7 days centered on the new Moon.
What equipment works best for different Bortle classes?
Equipment choices should match your sky conditions for optimal results. At Bortle Class 1 to 3, any telescope performs well, and wide-field refractors excel for sweeping the rich Milky Way fields. Visual observers benefit from large Dobsonian reflectors of 10 to 16 inches that can reach magnitude 15+ targets. At Bortle Class 4 to 5, narrowband filters like OIII and UHC become important for nebula observation, boosting contrast against the brighter background. Telescope choice matters less than filter choice here. At Bortle Class 6 to 7, narrowband and light pollution filters are essential. Astrophotographers should use narrowband imaging with Ha, OIII, and SII filters. At Bortle Class 8 to 9, focus on planets, the Moon, and double stars. Solar observation is equally effective from any Bortle class since it occurs during daylight.
References
Background & Theory
History
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
Related Calculators
๐งฎSolar System Scale Model Calculator
Calculate scaled distances and sizes for a solar system scale model at any chosen scale.
๐งฎSpace Mission Cost Calculator
Estimate space mission costs from payload mass, orbit, and launch vehicle selection.
๐งฎSpace Suit Air Supply Calculator
Calculate breathable air supply duration for EVA from tank pressure, volume, and consumption rate.
๐งฎBlackbody Peak Wavelength Calculator
Calculate blackbody peak wavelength with inputs, formulas, and instant results.
๐งฎParallax Distance Calculator
Calculate parallax distance with inputs, formulas, and instant results.
๐งฎRedshift Calculator
Calculate redshift with inputs, formulas, and instant results.
๐งฎField of View Calculator
Calculate field of view with inputs, formulas, and instant results.
๐งฎLimiting Magnitude Calculator
Calculate limiting magnitude with inputs, formulas, and instant results.