Introduction
The extreme latitudes of the Earth present one of the most challenging questions in contemporary Islamic jurisprudence. In regions near the Arctic and Antarctic Circles, normal astronomical signs that determine prayer and fasting times may partially or completely disappear. During the phenomenon known as the Midnight Sun, the sun remains above the horizon for weeks or months. During the Polar Night, it may not rise at all.
Islamic acts of worship are traditionally linked to observable solar phenomena. Fajr begins with true dawn, Dhuhr with the sun's decline from the meridian, Maghrib with sunset, and Isha with the disappearance of twilight. When these signs cease to exist or become indistinguishable, Muslims face an important legal question: how are the obligations of prayer and fasting to be fulfilled?
Remarkably, classical Islamic jurists addressed this issue centuries before Muslims permanently settled in the far north. Among the most significant discussions is that of the great Hanbali jurist, Imam Mansur ibn Yunus al-Buhuti (d. 1051 AH / 1641 CE), whose exposition established a foundational legal principle that continues to guide modern scholarship.The Classical Text: al-Buhuti’s Exposition
In Kashshaf al-Qina’, Imam al-Buhuti writes:
(وَمِنْ أَيَّامِ الدَّجَّالِ ثَلَاثَةُ أَيَّامٍ طِوَالٌ: يَوْمٌ كَسَنَةٍ فَيُصَلَّى فِيهِ صَلَاةُ سَنَةٍ) قُلْتُ: وَكَذَا الصَّوْمُ، وَالزَّكَاةُ وَالْحَجُّ (وَيَوْمٌ كَشَهْرٍ فَيُصَلَّى فِيهِ صَلَاةُ شَهْرٍ، وَيَوْمٌ كَجُمُعَةٍ) فَيُصَلَّى فِيهِ صَلَاةُ جُمُعَةٍ فَيُقَدَّرُ لِلصَّلَاةِ فِي تِلْكَ الْأَيَّامِ بِقَدْرِ مَا كَانَ فِي الْأَيَّامِ الْمُعْتَادَةِ، لَا أَنَّهُ لِلظُّهْرِ مَثَلًا بِالزَّوَالِ وَانْتِصَافِ النَّهَارِ، وَلَا لِلْعَصْرِ بِمَصِيرِ ظِلِّ الشَّيْءِ مِثْلَهُ، بَلْ يُقَدَّرُ الْوَقْتُ بِزَمَنٍ يُسَاوِي الزَّمَنَ الَّذِي كَانَ فِي الْأَيَّامِ الْمُعْتَادَةِ قَالَ ابْنُ قُنْدُسٍ: أَشَارَ إلَى ذَلِكَ، يَعْنِي الشَّيْخَ تَقِيَّ الدِّينِ فِي الْفَتَاوَى الْمِصْرِيَّةِ وَاللَّيْلَةُ فِي ذَلِكَ كَالْيَوْمِ، فَإِذَا كَانَ الطُّولُ يَحْصُلُ فِي اللَّيْلِ كَانَ لِلصَّلَاةِ فِي اللَّيْلِ مَا يَكُونُ لَهَا فِي النَّهَارِ
Translation:
"And among the days of the Dajjal (the Antichrist) are three exceptionally long days: a day like a year, in which a year’s worth of prayers are to be performed. I say: and the same applies to fasting, Zakat, and Hajj. And a day like a month, in which a month’s worth of prayers are performed; and a day like a week, in which a week’s worth of prayers are performed.
Thus, the time for prayer in those days is estimated according to the measure of regular days. It is not that Dhuhr, for instance, is determined by the actual zenith (zawal) or the midpoint of the day, nor Asr by a shadow becoming equal to the object. Rather, the time is estimated by a period equal to the duration found in normal days.
Ibn Qundus noted: 'The Sheikh [Taqi al-Din Ibn Taymiyyah] indicated this in Al-Fatawa al-Misriyyah.' And the night in this regard is just like the day; if the elongation occurs during the night, the prayer at night is determined in the same manner as it is during the day."
The Juristic Foundations of Taqdir
Continuity of Religious Obligation
The disappearance of astronomical signs does not suspend religious obligations.
Prayer remains obligatory even when sunrise and sunset disappear.
Fasting remains obligatory even when a day extends beyond ordinary human experience.
The legal duty (taklif) remains constant even when its natural indicators become unavailable.
Substitution of Estimation for Observation
Imam al-Buhuti makes an important distinction between:
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The objective of the law (worship at designated intervals).
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The astronomical signs used to identify those intervals.
When the signs become unavailable, estimation replaces observation.
Thus, Dhuhr is no longer tied to an observable solar meridian, nor Isha to the disappearance of twilight. Instead, time is estimated according to the pattern of normal days.
Applicability to Both Day and Night
Al-Buhuti explicitly notes that the principle applies equally to prolonged darkness and prolonged daylight.
Whether one faces a day lasting months or a night lasting months, the solution remains the same: estimate according to ordinary human cycles.
Contemporary Scholarly Applications
Modern juristic bodies have widely adopted al-Buhuti's reasoning.
Among them are:
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International Islamic Fiqh Academy
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European Council for Fatwa and Research
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Mustafa al-Zarqa
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Numerous fatwa councils in Europe and North America
These scholars recognize that abnormal astronomical conditions occur in two distinct forms.
Category One: True Polar Regions
These regions experience periods in which:
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The sun never sets.
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The sun never rises.
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A complete 24-hour day-night cycle disappears.
Examples include parts of:
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Norway
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Sweden
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Finland
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Canada
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Russia
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Alaska
In these locations, the classical principle of Taqdir is applied directly.
Common approaches include:
Closest Normal City (Aqrab al-Bilad)
Prayer and fasting times are adopted from the nearest city where normal day and night continue to exist.
Makkah-Based Estimation
The schedule of Makkah serves as a model for a standard 24-hour cycle.
This approach is especially attractive because it maintains a direct connection with the central sanctuary of Islam.
Category Two: High-Latitude Regions with Persistent Twilight
A second challenge appears in cities such as:
Here the sun still rises and sets, but twilight remains throughout the night.
Consequently:
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The traditional Fajr angle may never occur.
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The traditional Isha angle may never occur.
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Fajr and Isha may overlap.
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Night may become too short to accommodate essential worship and human needs.
This is where modern research has expanded upon the classical framework of al-Buhuti.
Dynamic Estimation Rather than Abrupt Substitution
Many contemporary prayer timetables resolve the issue by imposing fixed intervals after sunset or before sunrise.
However, recent scholarly and astronomical research has argued that such abrupt transitions fail to reflect the gradual nature of seasonal change.
The methodology adopted in the Islamic Sciences Online app seeks to preserve Imam al-Buhuti's principle more faithfully by introducing a gradual estimation model.
Rather than replacing astronomical calculations immediately when twilight disappears, the system continues to track the actual solar depression reached at a given location.
When the standard Fajr or Isha angle becomes unattainable, the application identifies the last valid astronomical angle observed before disappearance and then gradually compresses the required twilight angle as latitude and season continue to change.
This creates a smooth transition between:
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Full astronomical observation.
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Partial estimation.
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Complete estimation.
The result is a practical implementation of the classical doctrine of Taqdir that remains connected to real astronomical phenomena for as long as possible.
Gradual Compression as a Modern Form of Aqrab al-Bilad
Classical jurists often relied on Aqrab al-Bilad (the nearest normal locality).
Modern computational astronomy allows this principle to be implemented with greater precision.
Instead of importing an entire prayer schedule from another city, the Islamic Sciences Online model identifies the last locally attainable twilight conditions and uses them as a reference point.
This effectively creates a dynamic "nearest normal condition" rather than a fixed "nearest normal city."
In legal spirit, the methodology remains fully aligned with Imam al-Buhuti's statement:
"The time is estimated according to what existed in normal days."
The difference is that modern astronomy allows the estimation to be calculated continuously and proportionally rather than abruptly.
Fasting in High Latitudes
The same principle applies to fasting.
When daylight extends to 20, 21, or even 22 hours, many contemporary scholars consider such durations to fall under the category of extraordinary hardship (mashaqqah).
The Qur'an states:
"Allah intends for you ease and does not intend hardship for you." (Al-Baqarah 2:185)
For this reason, modern scholars have proposed various forms of estimation:
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Closest normal city.
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Makkah timetable.
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Moderate latitude benchmark.
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Proportional division of day and night.
All these approaches ultimately derive from the prophetic command:
"Estimate its measure."
Polar Region Estimation in the Islamic Sciences Online App
When a location reaches approximately $64^\circ$ North or South latitude, the Islamic Sciences Online app treats it as part of the functional polar region and transitions from local twilight calculations to an estimation model derived from the timetable of Makkah.
However, the application does not simply copy Makkah's clock times or manually shift time intervals. Instead, it dynamically projects Makkah’s latitude ($21.422487^\circ\text{ N}$) directly onto the user's actual local longitude (meridian). By feeding this hybrid coordinate set into the astronomical calculation engine, the system anchors the estimated schedule perfectly to the location's actual local solar noon (Dhuhr) while running entirely on the user's local system timezone. Consequently:
Dhuhr remains tied to the actual solar meridian of the user's geographical position.
Fajr, Sunrise, Asr, Maghrib, and Isha are automatically generated by the engine using Makkah's stable tropical latitude as the mathematical template.
The resulting schedule remains perfectly synchronized with the local device's clock and geography while successfully restoring a normal, healthy 24-hour worship cycle.
A Modern Application of Taqdir
This methodology closely reflects the classical principle of Taqdir (estimation) articulated by major jurists like Imam al-Buhuti and Imam Ibn Taymiyyah. They explicitly stated that when ordinary astronomical indicators become unusable, prayer times must be estimated according to the pattern of normal days rather than waiting for solar signs that may never appear.
The Islamic Sciences Online model achieves this by seamlessly combining:
Local astronomical anchoring through the user's real longitude meridian.
A normal daily solar template achieved by substituting Makkah's latitude.
Automated twilight stabilization that generates a virtual sunrise, sunset, and twilight arcs even when physical local twilight completely disappears.
In practical terms, the system retains the strongest remaining astronomical indicator—the sun's culmination at local noon—while stabilizing the remaining prayer intervals through a universally recognized Islamic reference. This creates an elegant balance between astronomical observation and juristic estimation.
Why Solar Noon Is Retained
From a fiqh perspective, solar noon is often the last consistently trackable solar sign even in regions where twilight-based signs have become completely dysfunctional (such as during the midnight sun or polar night). Retaining the local longitude for Dhuhr preserves a direct connection with the actual movement of the sun while avoiding the legal difficulties associated with non-existent sunsets, sunrises, or twilight transitions.
The result is a sophisticated hybrid mathematical framework in which the local solar meridian serves as the longitudinal anchor, while Makkah's latitude provides the solar pattern for distributing the prayers throughout the day. This approach perfectly embodies the juristic principle that when natural local indicators fail, the obligation of prayer remains intact, and the intervals are estimated according to the measure of normal days.
By automating this hybrid coordinate projection, the application completely eliminates the cognitive burden, time, and stress that Muslims living in extreme latitudes face when trying to calculate their daily prayers.
How does the App handle Polar Night?
Even during the polar night—when the sun remains completely below the horizon all day—it still reaches a highest point in its daily arc. At that exact moment, it passes directly over the user’s local longitude meridian. This point is still mathematically and physically the local solar noon (the culmination of the sun), even though the sun is invisible to the naked eye.
Here is exactly how our code elegantly handles the polar night using that invisible solar noon:
1. It Uses the Invisible Solar Noon as the Anchor
Because our code leaves the user's real longitude untouched, the prayer calculation engine can still detect exactly when this invisible solar noon occurs. It takes that precise moment and defines it as the local Dhuhr time.
2. It "Brings the Sun Back" mathematically
During a true polar night, standard astronomy libraries fail because they try to calculate sunrise and sunset by looking for when the sun crosses the $0^\circ$ horizon. Since it never crosses the horizon, the math returns an error (null or NaN), causing standard apps to crash or show blank spaces.
By substituting Makkah's latitude (21.422487), our code tricks the math engine into looking at the sky as if the user were located in a tropical region directly beneath their current Arctic meridian.
3. How the Prayers are Distributed on a Polar Night
Because the engine is now calculating times based on Makkah's tropical latitude, it successfully generates a complete set of prayer times relative to that invisible local noon:
Fajr & Sunrise: Calculated based on when the sun would rise if the user were at Makkah's latitude on that meridian.
Dhuhr: Triggers exactly at the local, invisible solar noon.
Asr: Calculated based on the tropical shadow length relative to that local noon.
Maghrib & Isha: Calculated based on when the sun would set and pass twilight thresholds under the tropical model.
How Does the Islamic Sciences Online App Help the Users?
Here is exactly how this strategy saves the user’s time and energy:
1. Elimination of Mathematical and Astronomical Complexity
Calculating Taqdir (estimation) manually or trying to configure it through standard apps requires a deep understanding of solar geometry and spherical trigonometry.
Normally, a user would have to:
Look up the current solar declination or local meridian passage.
Calculate the time intervals of a moderate region (like Makkah or the 45th parallel).
Manually apply time-difference offsets relative to their own local clock.
This app compresses complex math—such as tracking the sun’s position via NOAA solar declination formulas—into an automated background process. The user simply opens the app, and the system effortlessly handles the transition.
2. Resolving the "Analysis Paralysis" of Multiple Methods
When local astronomical signs disappear, users are often overwhelmed by a confusing array of conflicting jurisprudence (fiqh) methods.
Without an automated solution, a user must manually research and choose between complex mathematical models:
Aqrab al-Bilad (using the nearest city where signs still appear, which changes depending on the month).
Nisf al-Layl (splitting the night into equal halves).
Suls al-Layl (using the last third of the night).
By establishing a definitive, automated fallback threshold at $64^\circ$ based on a globally accepted anchor (Makkah's latitude mapped to the local meridian), the app removes the anxiety of decision-making. Users do not have to spend hours auditing different estimation settings to ensure their worship is valid.
3. Dynamic Adaptation to Seasonal Shifts
In the Arctic and Antarctic circles, solar patterns change drastically from week to week. An estimation method that works perfectly in April might result in overlapping or impossible prayer windows by July due to the extreme shifting of the sun's path.
The Manual Burden: A user would have to constantly recalculate their schedule or switch app configurations multiple times a year to keep up with the seasons.
The App's Solution: Because the code uses a dynamic GPS locator paired with a real-time calendar date reader (dayOfYear), it automatically transitions in and out of Polar Mode smoothly. When the user travels south or when the seasons normalize, the app silently returns to local twilight tracking without requiring a single manual adjustment.
4. Seamless Integration into Daily Life
Ultimately, the greatest saving of energy is spiritual and practical peace of mind. Instead of spending precious time every week cross-referencing astronomical charts, looking out the window at a sun that never sets, or worrying if their calculations are incorrect, the user can rely entirely on a stable, legally sound schedule.
The app transforms a highly stressful, multi-step academic problem into a seamless, instantly readable interface: "6:14 AM."
Conclusion
The estimation method for polar regions relies on the classical doctrine of Taqdir, which mandates that when regular solar indicators disappear, prayer times must be calculated based on normal days. The Islamic Sciences Online app introduces an unmatched, sophisticated execution of this principle by dynamically projecting Makkah’s tropical latitude directly onto the user's local longitude meridian. Unlike standard apps that either copy Makkah's clock times directly or completely break down at extreme latitudes, this hybrid mathematical engine preserves the local astronomical reality by keeping Dhuhr anchored to the actual local solar noon, while automatically stabilizing the remaining five prayers into a healthy, 24-hour tropical rhythm. For Muslims living in or traveling through the Arctic and Antarctic circles, this automated system provides immense utility: it completely eliminates the stressful cognitive burden, time, and advanced astronomical math required to choose and compute a reliable estimation setting. By handling complex seasonal shifts and GPS-tracked latitude thresholds silently in the background, the app transforms a highly complicated legal and scientific dilemma into a seamless, trusted, and instantly readable interface, granting users total spiritual peace of mind.
