← Vedic Cosmos

Digital Panchang

The world's most precise timekeeping system — 5 astronomical limbs computed from planetary positions, encoding the exact state of Sun, Moon, and stars at every moment.

Five Limbs of Time

Tithi

Shukla Tritiya

Lunar day

Nakshatra

Rohini

Moon's mansion

Yoga

Siddha

Sun+Moon sum

Karana

Bava

Half lunar day

Vara

Mangalavar

Weekday

Masa

Phalguna

Paksha

Shukla (Waxing)

Ritu

Vasanta (Spring)

Ayana

Uttarayana (Sun moving north)

Sunrise

06:27 IST

Rahu Kala

15:00–16:30 IST

Values shown are illustrative. A live calculator requires ephemeris data. See formula section below to compute for any date.

How Each Limb Is Computed

Tithi (Lunar Day)

तिथि

Formula

T = ⌊(θ_Moon − θ_Sun) / 12°⌋ + 1

Variables

θ_Moon = Moon's ecliptic longitude, θ_Sun = Sun's ecliptic longitude

Period: ~23h 37m to 26h 6m (varies due to elliptical orbits)

Example

If Moon is at 150° and Sun at 30°: T = ⌊(150−30)/12⌋ + 1 = ⌊10⌋ + 1 = 11th Tithi (Ekadashi)

Nakshatra (Lunar Mansion)

नक्षत्र

Formula

N = ⌊θ_Moon / (360°/27)⌋ + 1 = ⌊θ_Moon / 13.333°⌋ + 1

Variables

θ_Moon = Moon's sidereal longitude. Each nakshatra spans 13° 20'.

Period: ~1 sidereal day (27.32 days / 27 = ~24.5 hours per nakshatra)

Example

Moon at 46°: N = ⌊46/13.33⌋ + 1 = ⌊3.45⌋ + 1 = 4th Nakshatra = Rohini

Yoga (Sun+Moon Sum)

योग

Formula

Y = ⌊(θ_Moon + θ_Sun) / 13.333°⌋ + 1 (mod 27)

Variables

Sum of both longitudes divided into 27 equal segments of 13°20'.

Period: Averages ~1 day but ranges 21.5h–26h

Example

Moon at 150°, Sun at 30°: Y = ⌊180/13.33⌋ + 1 = 14th Yoga = Vajra

Karana (Half-Tithi)

करण

Formula

K = ⌊(θ_Moon − θ_Sun) / 6°⌋ (mod 60) → map to 11 Karana types

Variables

4 fixed Karanas (Shakuni, Chatushpada, Naga, Kimstughna) + 7 repeating (Bava to Vishti)

Period: ~11h 45m to 13h 3m (half a Tithi)

Example

Each Tithi contains exactly 2 Karanas. Vishti Karana = inauspicious for new work.

Vara (Weekday)

वार

Formula

R = (JD + 1.5) mod 7 (Julian Day Number)

Variables

0=Sunday, 1=Monday, 2=Tuesday, 3=Wednesday, 4=Thursday, 5=Friday, 6=Saturday

Period: Exactly 24 hours (solar day)

Example

JD 2451545.0 (Jan 1.5, 2000) → (2451545 + 1.5) mod 7 = 6 → Saturday ✓

Ayanamsha — Why Vedic and Western Zodiacs Differ

The Ayanamsha is the angular difference between the tropical zodiac (Sun at 0° Aries at spring equinox) and the sidereal zodiac (fixed stars). Due to precession of the equinoxes, this angle increases by ~50.26" per year.

Ayanamsha (Lahiri) = 23° 15' 00" + (50.26"/year × years since 1900.0)

Lahiri Ayanamsha for 2025 = ~24° 7' 36"

A planet at tropical 10° Aries is actually at sidereal 10° − 24°7' = 15°52' Pisces in Vedic astrology. The "wrong" zodiac sign in Western vs. Vedic astrology is entirely explained by the Ayanamsha.

The Surya Siddhanta accounts for precession in its ayanachala (motion of the equinox) formula, giving 54"/year — within 7% of the modern value of 50.26"/year.

Each Month = A Celestial Position

Vedic months are named after the nakshatra where the full moon occurs. Each month defines a solar longitude range, a season, and a set of observances anchored to astronomy.

Chaitra

Mar–Apr · Vasanta (Spring)

01

Sun: Pisces → Aries

Full moon in: Spica (Chitra)

Ugadi / Gudi Padwa

Ram Navami

Hanuman Jayanti

Vaishakha

Apr–May · Vasanta (Spring)

02

Sun: Aries → Taurus

Full moon in: Vishakha

Akshaya Tritiya

Buddha Purnima

Vaishakhi

Jyeshtha

May–Jun · Grishma (Summer)

03

Sun: Taurus → Gemini

Full moon in: Antares (Jyeshtha)

Vat Savitri Vrat

Ganga Dussehra

Ashadha

Jun–Jul · Grishma (Summer)

04

Sun: Gemini → Cancer

Full moon in: Uttara Ashadha

Guru Purnima

Rath Yatra

Dakshinayana begins

Shravana

Jul–Aug · Varsha (Monsoon)

05

Sun: Cancer → Leo

Full moon in: Shravana (Altair)

Raksha Bandhan

Nag Panchami

Krishna Janmashtami

Bhadrapada

Aug–Sep · Varsha (Monsoon)

06

Sun: Leo → Virgo

Full moon in: Uttara Bhadrapada

Ganesh Chaturthi

Onam

Ashwin

Sep–Oct · Sharad (Autumn)

07

Sun: Virgo → Libra

Full moon in: Ashwini

Sharad Navratri

Dussehra (Vijayadashami)

Pitru Paksha

Kartika

Oct–Nov · Sharad (Autumn)

08

Sun: Libra → Scorpio

Full moon in: Pleiades (Krittika)

Diwali (Amavasya)

Kartika Purnima

Tulsi Vivah

Margashirsha

Nov–Dec · Hemanta (Pre-winter)

09

Sun: Scorpio → Sagittarius

Full moon in: Mrigashira (Orion)

Vivah Panchami

Gita Jayanti

Mokshada Ekadashi

Pausha

Dec–Jan · Hemanta (Pre-winter)

10

Sun: Sagittarius → Capricorn

Full moon in: Pushya (Asellus)

Makar Sankranti

Lohri

Uttarayana transition

Magha

Jan–Feb · Shishira (Winter)

11

Sun: Capricorn → Aquarius

Full moon in: Regulus (Magha)

Maha Shivratri

Vasant Panchami

Ratha Saptami

Phalguna

Feb–Mar · Shishira (Winter)

12

Sun: Aquarius → Pisces

Full moon in: Uttara Phalguni

Holi (Purnima)

Holashtak

Amalaki Ekadashi

Upcoming Festival & Celestial Events

Mar 29, 2025

Partial Solar Eclipse

Amavasya, Chaitra

Europe, N. Africa

Apr 13, 2025

Ram Navami

Chaitra Shukla Navami

India (observe)

Apr 30, 2025

Akshaya Tritiya

Vaishakha Shukla Tritiya

India (observe)

May 12, 2025

Total Lunar Eclipse

Vaishakha Purnima (Buddha Purnima)

Asia, Australia, Pacific

May 12, 2025

Buddha Purnima

Vaishakha Purnima

Global (observe)

Jul 10, 2025

Guru Purnima

Ashadha Purnima

India (observe)

Aug 9, 2025

Raksha Bandhan

Shravana Purnima

India (observe)

Aug 16, 2025

Janmashtami

Bhadrapada Krishna Ashtami

India (observe)

Sep 26, 2025

Mahalaya Amavasya (Pitru Paksha ends)

Ashwin Amavasya

India (observe)

Oct 2, 2025

Navratri begins + solar eclipse possible

Ashwin Shukla Pratipada

S. America (eclipse)

Oct 20, 2025

Diwali

Kartika Amavasya — Deepest new moon

India (observe)

Jan 14, 2026

Makar Sankranti

Sun enters Capricorn (sidereal)

India (observe)

Feb 26, 2026

Maha Shivratri

Magha Krishna Chaturdashi

India (observe)

Aug 12, 2026

Total Solar Eclipse

Shravana Amavasya

Spain, Iceland, Russia