Panchāṅga Shāstra

The word Panchāṅga (पञ्चाङ्ग) literally means "five limbs" — from pañca (five) and aṅga (limb). It is the traditional Vedic almanac that captures the state of cosmic time through five fundamental elements computed for every day and every moment:

1. Tithi (तिथि) — the lunar day, from the angular separation of the Sun and Moon.
2. Vāra (वार) — the weekday, governed by one of the seven planetary lords.
3. Nakṣatra (नक्षत्र) — the lunar mansion in which the Moon is positioned.
4. Yoga (योग) — the combined longitude of Sun and Moon divided by 13°20′.
5. Karaṇa (करण) — one half of a Tithi (30 tithis × 2 = 60 karana slots).

The Panchanga is the eye of the Veda (vedasya nirmalaṁ cakṣuḥ) — it determines the correct moment for every saṃskāra, vrata, yajña and muhūrta. Without it, no Vedic action is considered complete.

सिद्धान्त-संहिता-होरारूप-स्कन्धत्रयात्मकम् । वेदस्य निर्मलं चक्षुर्ज्योतिःशास्त्रमकल्मषम् ॥
— Muhūrta Chintāmaṇi, Bhūmikā (Introduction)

A Tithi is the length of time the Moon takes to gain 12° of angular separation from the Sun, measured along the ecliptic. When the Moon is exactly conjunct the Sun, it is Amāvasyā (New Moon); when it is exactly 180° opposite, it is Pūrṇimā (Full Moon).

Because the Moon's angular velocity relative to the Sun is not constant — the Moon's orbit is elliptical and its speed varies — a Tithi is not 24 hours long. Its mean length is about 23 hours 37 minutes, but individual tithis range from roughly 19 to 26 hours.

Each synodic month (~29.53 days) contains exactly 30 tithis:

• Śukla Pakṣa (waxing fortnight): Pratipadā → Pūrṇimā (15 tithis)
• Kṛṣṇa Pakṣa (waning fortnight): Pratipadā → Amāvasyā (15 tithis)

The 15 tithis in each paksha are named: Pratipadā, Dvitīyā, Tṛtīyā, Caturthī, Pañcamī, Ṣaṣṭhī, Saptamī, Aṣṭamī, Navamī, Daśamī, Ekādaśī, Dvādaśī, Trayodaśī, Caturdaśī, and either Pūrṇimā (Shukla) or Amāvasyā (Krishna).

Because a Tithi varies in length and the solar day is fixed at 24 hours, two situations arise:

Tithi Kṣaya (तिथि क्षय)

When a tithi is shorter than a solar day, it may begin after sunrise on one day and end before sunrise the next — so no sunrise falls within it. That tithi is then omitted (kṣaya) from the civil count. Kshaya tithis occur when the Moon is moving fastest.

Tithi Vṛddhi (तिथि वृद्धि)

When a tithi is longer than a solar day, two successive sunrises may fall within it. That tithi is then repeated (vṛddhi) — it is counted on both days. Vriddhi tithis occur when the Moon is moving slowest.

Both phenomena are a natural consequence of Kepler-type lunar motion and are documented in the Sūrya Siddhānta. The correct rule for determining which tithi prevails at sunrise (prāta-kāla) is discussed at length in Muhūrta Chintāmaṇi.

Muhūrta Chintāmaṇi classifies the 15 tithis of a paksha into five groups of three, each carrying a distinct energetic character. These are known as the Nandādi saṃjñās.

Meaning: In the Shukla Paksha, the fifteen tithis are known in cycles of five as Nandā, Bhadrā, Jayā, Riktā, and Pūrṇā — first inauspicious, then middling, then auspicious. In the Krishna Paksha the order is reversed.

Muhūrta Chintāmaṇi also notes that when a Nandā tithi falls on Friday, Bhadrā on Wednesday, Jayā on Tuesday, Riktā on Saturday, or Pūrṇā on Thursday — each becomes a Siddha Yoga, powerfully auspicious for its domain.

A Pakṣa (पक्ष) is one half of a lunar month — literally a "wing". Each synodic lunar month has exactly two pakshas:

• Śukla Pakṣa (शुक्ल पक्ष) — the bright, waxing half, from Amāvasyā to Pūrṇimā. The Moon grows in visible brightness each night.
• Kṛṣṇa Pakṣa (कृष्ण पक्ष) — the dark, waning half, from Pūrṇimā to Amāvasyā. The Moon diminishes each night until it disappears at New Moon.

The rising phase (Shukla) is considered naturally supportive of growth, new beginnings, and outward expansion. The waning phase (Krishna) supports introspection, release, and dissolution of what has completed its cycle. Many vratas are performed on specific tithis of specific pakshas — Ekādaśī vrata, Pradoṣa vrata, Mahāśivarātri (Krishna Chaturdaśī of Phālguna), and so on.

A Chandra Māsa (चन्द्र मास) is the span of one complete synodic moon cycle — approximately 29.53 solar days. Twelve lunar months make one lunar year of ~354 days. The twelve lunar months are named after the nakṣatra in which the Moon is full (pūrṇimā) in that month:

1. Chaitra (चित्रा) — Mar/Apr
2. Vaiśākha (विशाखा) — Apr/May
3. Jyeṣṭha (ज्येष्ठा) — May/Jun
4. Āṣāḍha (पू.आषाढा) — Jun/Jul
5. Śrāvaṇa (श्रवण) — Jul/Aug
6. Bhādrapada (पू.भाद्रपदा) — Aug/Sep
7. Āśvina (अश्विनी) — Sep/Oct
8. Kārtika (कृत्तिका) — Oct/Nov
9. Mārgaśīrṣa (मृगशिरा) — Nov/Dec
10. Pauṣa (पुष्य) — Dec/Jan
11. Māgha (मघा) — Jan/Feb
12. Phālguna (उ.फाल्गुनी) — Feb/Mar

India follows two conventions for when a lunar month begins:

• Amānta — the month begins at Amāvasyā (used in Maharashtra, Karnataka, South India).
• Pūrṇimānta — the month begins at Pūrṇimā (used in North India including Varanasi).

A Sūrya Māsa (सूर्य मास) is the time the Sun takes to pass through one sidereal rāśi (zodiacal sign) of 30°. The moment the Sun enters a new rāśi is called a Saṅkrānti.

There are twelve solar months, beginning with Meṣa Saṅkrānti (typically April 13–14, when the Sun enters sidereal Aries):

1. Meṣa (मेष)
2. Vṛṣabha (वृषभ)
3. Mithuna (मिथुन)
4. Karka (कर्क)
5. Siṃha (सिंह)
6. Kanyā (कन्या)
7. Tulā (तुला)
8. Vṛścika (वृश्चिक)
9. Dhanu (धनु)
10. Makara (मकर)
11. Kumbha (कुम्भ)
12. Mīna (मीन)

Some regions (Tamil Nadu, Kerala, Bengal, Odisha, Punjab) follow the solar calendar for civil years; the rest of India follows the lunar calendar, with solar Sankrantis marking major festivals like Makar Sankranti and Meṣa Sankranti (Tamil/Malayalam New Year).

The lunar year (354.37 days) is about 11 days shorter than the solar year (365.25 days). If left uncorrected, the lunar months would drift progressively earlier each year, pulling festivals out of their proper seasons.

Adhika Māsa (अधिक मास) — the Intercalary Month

To keep the lunar calendar aligned with the solar seasons, an extra lunar month is inserted every 32 to 33 months. Any lunar month in which no Saṅkrānti (entry of the Sun into a new rāśi) occurs is declared Adhika Māsa — literally "added month". It is also called Puruṣottama Māsa and is considered highly auspicious for spiritual practice; no mundane ceremonies (marriage, house-entry) are performed in it.

Kṣaya Māsa (क्षय मास) — the Lost Month

Far rarer is a Kṣaya Māsa, which occurs when two Saṅkrantis fall within a single lunar month. That month is considered "lost" or absorbed. The last Kshaya Masa was in 1983 and the next is not expected until 2123.

These corrections are inherited from the Sūrya Siddhānta and have kept the Vedic lunisolar calendar perfectly season-aligned for over two thousand years.

A Saṃvatsara (संवत्सर) is a year. Vedic tradition recognises several overlapping year systems:

The 60-Year Jovian Cycle (Bṛhaspati Chakra)

Each of the 60 years bears a distinctive name — Prabhava, Vibhava, Śukla, Pramoda, ... Akṣaya — and each name carries specific astrological qualities described in the classical texts. The cycle repeats every 60 years.

Vikrama Saṃvat (विक्रम संवत्)

Begins from 57 BCE, established by Emperor Vikramāditya. The current year 2025 CE corresponds to Vikrama Samvat 2082. The year begins at Chaitra Śukla Pratipadā (Chaitra New Moon) — celebrated as Gudi Padwa and Ugadi.

Śaka Saṃvat (शक संवत्)

Begins from 78 CE. The current year 2025 CE corresponds to Shaka Samvat 1947. This is the official national calendar of India, used for government gazettes and astronomical ephemerides.

Kali Yuga

Begins from 3102 BCE. The current year 2025 CE corresponds to Kali Yuga 5126. Most traditional panchangs display all three samvats.

The Ayana (अयन) is the Sun's apparent north-south motion during the year. Because the Earth's axis is tilted ~23.5° relative to its orbital plane, the Sun appears to swing between the Tropic of Cancer (23.5°N) and the Tropic of Capricorn (23.5°S) over the course of a year, producing the seasons.

Uttarāyaṇa (उत्तरायण)

The Sun's northward journey — six months from Makara Saṅkrānti (~January 14) to Karka Saṅkrānti (~July 16). Considered highly auspicious for Vedic rites, yajña, and departure from the body. Bhishma Pitāmaha in the Mahābhārata is said to have deliberately waited on his bed of arrows for the arrival of Uttarayana to leave his body.

Dakṣiṇāyana (दक्षिणायन)

The Sun's southward journey — six months from Karka Sankranti back to Makara Sankranti. Considered the night of the gods. Traditionally sādhanā, fasting, and inward practice are emphasised in this half of the year.

Together the two ayanas make one Divya Varṣa (day of the gods): Uttarayana is "day" and Dakshinayana is "night" from the perspective of the deities at Meru.

A Nakṣatra (नक्षत्र) is one of 27 equal divisions of the ecliptic, each spanning exactly 13°20′ (13 degrees 20 minutes of arc). Together the 27 nakshatras complete the full 360° of the zodiac.

The name nakṣatra (from na-kṣar — "that which does not decay") refers to the fixed stars in each segment. Each nakshatra is governed by a deity, a ruling planet (for Vimshottari daśā), a gaṇa, yoni, nādi, and elemental qualities:

Gaṇa — the temperament

• Deva (देव, divine): Aśvinī, Mṛgaśirā, Punarvasu, Puṣya, Hasta, Svātī, Anurādhā, Śravaṇa, Revatī
• Manuṣya (मनुष्य, human): Bharaṇī, Rohiṇī, Ārdrā, P. Phalgunī, U. Phalgunī, P. Āṣāḍhā, U. Āṣāḍhā, P. Bhādrapadā, U. Bhādrapadā
• Rākṣasa (राक्षस, demonic): Kṛttikā, Āśleṣā, Maghā, Citrā, Viśākhā, Jyeṣṭhā, Mūla, Dhaniṣṭhā, Śatabhiṣā

The Moon moves through one nakshatra roughly every 24 hours. Its position at the moment of birth (Janma Nakṣatra) is the foundation of Vedic birth-chart analysis.

The nakshatra is determined by the Moon's sidereal longitude at the time of observation. The procedure:

1. Compute the Moon's tropical longitude from modern ephemerides.
2. Subtract the Ayanāṃśa — the accumulated difference between the sidereal and tropical zodiacs due to the precession of the equinoxes. The most widely used is the Lahiri Ayanamsa, officially adopted by India's Calendar Reform Committee.
3. The resulting sidereal longitude (0° – 360°) is divided by 13°20′ (= 13.333°) to yield the nakshatra number 1–27.
4. Each nakshatra is further divided into 4 pādas (quarters) of 3°20′ each, used for fine-grained analysis.

Because the Moon moves ~13° per day while the tropical zodiac drifts ~50″ per year, Lahiri ayanamsa in 2025 is approximately 24°12′. This drift is why sidereal and tropical astrology now disagree by nearly one full sign.

A Yoga (योग) in Panchanga is the combined state of the Sun and Moon's longitudes. Unlike the word yoga in Pātañjali's context (union of consciousness), here it means "addition":

The result gives one of 27 yogas, from Viṣkambha to Vaidhṛti. Each yoga has a distinct quality:

• Auspicious yogas: Śobhana, Sukarman, Dhṛti, Hariṣaṇa, Vṛddhi, Dhruva, Siddhi, Śubha, Brahma, Indra, Siddha.
• Inauspicious yogas: Viṣkambha, Atigaṇḍa, Śūla, Gaṇḍa, Vyāghāta, Vajra, Vyatipāta, Parigha, Vaidhṛti — traditionally avoided for starting new ventures.

Each yoga lasts roughly 24 hours on average but varies with the relative motions of Sun and Moon.

A Karaṇa (करण) is exactly one half of a Tithi — the time in which the Moon gains 6° of elongation from the Sun. Since each lunar month has 30 tithis, there are 30 × 2 = 60 karana slots.

7 Moving (Cara) Karaṇas

Repeat in sequence through 56 of the 60 slots: Bava, Bālava, Kaulava, Taitila, Gara, Vaṇija, Viṣṭi (Bhadrā). Viṣṭi / Bhadrā is considered particularly inauspicious for beginning any venture — described as a "bride with a crooked face" who must be avoided.

4 Fixed (Sthira) Karaṇas

Occur only once each, at specific positions around the end of Krishna Chaturdaśī and Amāvasyā: Śakuni, Catuṣpāda, Nāga, Kiṃstughna.

For muhurta, the karana combined with tithi, vara and nakshatra is carefully checked — certain combinations have their own names (e.g. Viṣṭi + Śrāvaṇā on Sunday forms a classical yoga of great negativity).

A Vāra (वार) is a weekday, governed by one of the seven visible celestial lights: Sun, Moon, Mars, Mercury, Jupiter, Venus, and Saturn. The Vedic week has exactly seven days, each beginning at local sunrise (not midnight).

The curious order (Sun, Moon, Mars, Mercury, Jupiter, Venus, Saturn) is not the orbital order — it arises naturally from the sequence of Horās. The next section explains how.

A Horā (होरा) is a "planetary hour" — one twenty-fourth of a day from sunrise to sunrise. The word horā is cognate with the Latin hora and the English "hour". Each hora is ruled by one of the seven planets.

The Chaldean Order

Classical astrology arranges the seven planets in descending order of their sidereal orbital periods (slowest to fastest): Saturn → Jupiter → Mars → Sun → Venus → Mercury → Moon. This is called the Chaldean order.

How Weekdays Arise from Horās

Start a week at sunrise on Sunday, with the Sun ruling the first hora. Advance through the Chaldean order (Sun→Venus→Mercury→Moon→Saturn→Jupiter→Mars) repeatedly. Count 24 horas — the 25th (next sunrise) will be ruled by the Moon. That day is named after the Moon: Somavāra (Monday).

Continue: 24 horas later the next sunrise is ruled by Mars (Maṅgalavāra, Tuesday), then Mercury (Wednesday), Jupiter (Thursday), Venus (Friday), Saturn (Saturday), Sun again (Sunday). This is why the weekday order appears "scrambled" relative to the orbital order — it's the natural rhythm of the 24-hora cycle.

The same Chaldean sequence governs the choice of planetary hour for electional purposes: beginning a venture, applying a mantra, wearing a gem, or consecrating a yantra.

The Navagraha (नवग्रह — nine graspers) are the nine celestial influences recognised in Jyotiṣa:

1. Sūrya ☉ — the Sun, king of the grahas, ruler of the soul.
2. Candra ☽ — the Moon, queen, ruler of the mind.
3. Maṅgala ♂ — Mars, commander, ruler of energy and brothers.
4. Budha ☿ — Mercury, prince, ruler of intellect and speech.
5. Guru / Bṛhaspati ♃ — Jupiter, teacher of the gods, ruler of dharma and wisdom.
6. Śukra ♀ — Venus, teacher of the asuras, ruler of love and creativity.
7. Śani ♄ — Saturn, judge, ruler of karma and discipline.
8. Rāhu ☊ — the Moon's north node, shadow planet of ambition and obsession.
9. Ketu ☋ — the Moon's south node, shadow planet of liberation and spirituality.

The seven visible grahas rule the weekdays and horas. Rāhu and Ketu are not physical bodies — they are the two points where the Moon's orbit crosses the ecliptic. They are responsible for eclipses and carry immense karmic significance.

Every day, from local sunrise to sunset, three inauspicious time-intervals rotate through different sections of the day depending on the weekday. Each is one-eighth of the daylight period (~1.5 hours):

Rāhu Kāla (राहु काल)

The shadow of Rahu. Avoided for starting any new or important activity. A popular rule to remember the weekday sequence: "Mother Saw Father Wearing The Turban Suddenly" — Monday, Saturday, Friday, Wednesday, Thursday, Tuesday, Sunday: the parts 2, 7, 5, 4, 8, 3, 8 (approximate ordering in various texts).

Yama Gaṇḍa (यम गण्ड)

The time governed by Yama, the god of death. Avoided for travel and new ventures.

Gulika Kāla (गुलिक काल)

The time of Gulika (son of Saturn). Traditionally used only for death rites and for activities one wishes to be lasting — because anything initiated in Gulika Kala is said to repeat or endure.

Classical muhurta texts including Muhūrta Chintāmaṇi emphasize that these intervals should be avoided for auspicious undertakings but are not absolute bars for daily routine activities.

A Muhūrta (मुहूर्त) is a unit of time equal to 2 ghaṭikās or approximately 48 minutes. There are exactly 30 muhurtas from sunrise to next sunrise — 15 in the day and 15 in the night.

Brāhma Muhūrta (ब्राह्म मुहूर्त)

The 29th muhurta of the night — roughly 96 minutes before sunrise (approximately 4:24 AM – 5:12 AM for a 6:00 sunrise). Considered the most sattvic and spiritually potent time of the entire day. The Caraka Saṃhitā and Ayurveda recommend rising during Brahma Muhurta for meditation, yoga, and prayer.

Abhijit Muhūrta (अभिजित् मुहूर्त)

The 8th muhurta of the day — the ~48-minute interval centered on local solar noon. Considered universally auspicious and capable of neutralizing most muhurta defects ("doṣa") except on Wednesdays.

Muhūrta Chintāmaṇi dedicates its entire central treatise to the selection of the correct muhurta for every samskāra — Garbhādhāna, Sīmanta, Jātakarman, Nāmakaraṇa, Annaprāśana, Cūḍākaraṇa, Upanayana, Vivāha, Gṛhapraveśa, and all the way to Antyeṣṭi.

For a householder, the daily panchanga reading is a practical compass. The traditional sequence for checking auspiciousness:

1. Tithi — check the Nandādi category (avoid Riktā unless doing tapas).
2. Vāra — consider the planetary lord for the work intended.
3. Nakṣatra — match the nakshatra gaṇa and activity (e.g. Puṣya for beginning anything auspicious).
4. Yoga — verify it is not among the nine inauspicious yogas.
5. Karaṇa — avoid Viṣṭi (Bhadrā) for new ventures.
6. Rāhu Kāla / Yama Gaṇḍa — find and avoid the bad intervals.
7. Abhijit Muhūrta — if everything else fails, use Abhijit around noon.

For serious rites, the lagna (rising sign) at the moment of action is also computed and checked against the house-lord requirements for the samskāra being performed.

This living tradition — constantly checking the quality of time before acting — is the heart of Vedic kāla-vidyā, the science of time.