How is Rahu Kalam Calculated?

Step-by-Step Formula Using Sunrise, Day Duration, and Weekday

Rahu Kalam is not determined by complex astronomical calculations — it uses a simple formula based on three inputs: local sunrise time, local sunset time, and the day of the week. Understanding this formula helps you verify any calculator's results and understand why Rahu Kalam varies so much by location and season.

Step-by-step formula: (1) Find the local sunrise and sunset times. (2) Calculate the total daytime duration: Sunset − Sunrise (in minutes). (3) Divide by 8 to get one "octave" (1/8th of the day). (4) Look up the Rahu octave number for your weekday: Sunday=8, Monday=2, Tuesday=7, Wednesday=5, Thursday=6, Friday=4, Saturday=3. (5) Rahu Kalam start = Sunrise + (one octave × (Rahu octave − 1)). (6) Rahu Kalam end = Start + one octave.

Worked example (Monday, Chennai): Sunrise = 6:05 AM, Sunset = 6:20 PM. Day duration = 735 minutes. One octave = 735 ÷ 8 = 91.9 minutes. Monday = octave 2. Rahu Kalam start = 6:05 AM + (91.9 × 1) = 7:36 AM. End = 7:36 + 91.9 min = 9:08 AM. So Rahu Kalam on this Monday in Chennai runs approximately 7:36 AM – 9:08 AM.

The reason Rahu Kalam varies by city is that sunrise differs by latitude and longitude. Chennai (13°N, 80°E) may have sunrise at 6:05 AM while Delhi (28°N, 77°E) has sunrise at 6:35 AM on the same day. That 30-minute difference shifts all Rahu Kalam timings forward by 30 minutes in Delhi relative to Chennai.

Rahu Kalam also varies by season because day length changes through the year. In Chennai in December, the day may be 670 minutes long (octave = 84 min), while in June, it may be 790 minutes (octave = 99 min). Summer Rahu Kalam windows are about 15 minutes longer than winter windows. This is why published Panchang tables with fixed times become inaccurate after a week or two.

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Frequently Asked Questions

What is the formula for Rahu Kalam?
Step 1: Find sunrise and sunset for the day/location. Step 2: Calculate day duration (sunset minus sunrise in minutes). Step 3: Divide by 8 to get one octave. Step 4: Use the weekday table to find the Rahu octave number (Sun=8, Mon=2, Tue=7, Wed=5, Thu=6, Fri=4, Sat=3). Step 5: Rahu Kalam start = Sunrise + (octave duration × (Rahu octave − 1)). Step 6: End = Start + one octave.
Why does Rahu Kalam vary by city?
Because Rahu Kalam is calculated from the local sunrise time, which depends on geographic latitude and longitude. On the same day, Chennai sunrise (approximately 6:00 AM) is 30+ minutes earlier than Delhi sunrise, shifting Rahu Kalam forward by the same amount.
Why does Rahu Kalam vary by season?
The duration of Rahu Kalam (one octave) changes because the day length changes with seasons. In summer, sunrise is earlier and sunset later, making each of the 8 octaves longer. In winter, shorter days mean shorter Rahu Kalam windows.
Does Rahu Kalam follow night hours too?
No. The traditional Rahu Kalam calculation uses only the daytime hours (sunrise to sunset) divided into 8 equal octaves. Night hours are not included in the standard calculation.
How accurate is the approximate Rahu Kalam table?
The weekday table (e.g., "Monday 7:30–9 AM") assumes a 6 AM sunrise. These times can be off by 30–90 minutes depending on your city and the time of year. For precision, always use a calculator that takes your location's actual sunrise into account.
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