The word Panchang is derived from two ancient Sanskrit roots: Pancha meaning “five”, and Anga meaning “limbs” or “divisions”. In Vedic cosmology, the Panchang is not merely a secular almanac; it is a profound scientific instrument designed by ancient Rishi-astronomers to harmonize human activities with the subtle rhythms of celestial bodies.

Understanding the five limbs of Panchang allows one to select auspicious moments (Muhurat) for life events, observe sacred festivals on their precise lunar days, and understand the energetic qualities of time (Kala).


1. Tithi (The Lunar Day)

A Tithi is the duration in which the longitudinal angular distance between the Moon and the Sun increases by exactly 12 degrees along the ecliptic.

$$\text{Tithi Angular Distance} = (\lambda_{\text{Moon}} - \lambda_{\text{Sun}}) \pmod{360^\circ}$$

Because the Moon’s orbital velocity varies between its perigee and apogee, the duration of a Tithi fluctuates between approximately 19 hours and 26 hours.

A complete lunar month contains 30 Tithis:

  • Shukla Paksha (Waxing Bright Fortnight): 15 Tithis ending in Purnima (Full Moon).
  • Krishna Paksha (Waning Dark Fortnight): 15 Tithis ending in Amavasya (New Moon).

In traditional Indian daily life, the Tithi prevailing at local sunrise (Udaya Tithi) is observed as the primary Tithi for fasting and festival observance throughout that civil day.


2. Vara (The Solar Weekday)

Vara represents the day of the seven-day planetary week, measured from one sunrise to the subsequent sunrise. Each Vara is ruled by a presiding planetary deity:

  1. Ravivara (Sunday): Ruled by Surya (Sun) — vitality, leadership, executive decisions.
  2. Somavara (Monday): Ruled by Chandra (Moon) — mind, emotions, maternal care, peace.
  3. Mangalavara (Tuesday): Ruled by Mangal (Mars) — courage, energy, property, engineering.
  4. Budhavara (Wednesday): Ruled by Budha (Mercury) — intellect, commerce, trade, communication.
  5. Guruvara (Thursday): Ruled by Guru (Jupiter) — wisdom, dharma, higher learning, spirituality.
  6. Shukravara (Friday): Ruled by Shukra (Venus) — beauty, arts, vehicles, relationships.
  7. Shanivara (Saturday): Ruled by Shani (Saturn) — discipline, endurance, patience, service.

3. Nakshatra (The Lunar Mansion)

The ecliptic circle of $360^\circ$ is divided into 27 equal segments of $13^\circ 20’$ each, known as Nakshatras. As the Moon travels through the celestial sphere, it resides in each Nakshatra for approximately one day.

Each Nakshatra is further subdivided into 4 Padas (quarters) of $3^\circ 20’$ each, totaling 108 Padas in the entire zodiac. The Moon’s transit through a Nakshatra determines the subconscious temperament, physiological balance, and emotional resonance of that period.


4. Yoga (The Soli-Lunar Angle)

Yoga is calculated by adding the Nirayana (sidereal) longitudes of both the Sun and the Moon:

$$\text{Yoga} = (\lambda_{\text{Sun, Nirayana}} + \lambda_{\text{Moon, Nirayana}}) \pmod{360^\circ}$$

There are 27 Yogas, each spanning $13^\circ 20’$. While some Yogas like Ayushman, Saubhagya, and Siddhi are profoundly beneficial for starting new projects, other Yogas such as Vyatipata and Vaidhriti are reserved for introspection, prayer, and charity rather than worldly ventures.


5. Karana (The Half-Tithi)

A Karana is half of a Tithi, spanning 6 degrees of angular difference between the Moon and the Sun. Thus, each lunar month of 30 Tithis encompasses 60 Karanas.

There are two primary categories of Karanas:

  • 7 Movable (Chara) Karanas: Bava, Balava, Kaulava, Taitila, Gara, Vanija, and Vishti (Bhadra). These cycle 8 times across the month.
  • 4 Fixed (Sthira) Karanas: Kintughna, Shakuni, Chatushpada, and Naga. These occur during specific phases of Shukla Pratipada and Krishna Amavasya.

Vishti Karana, popularly known as Bhadra, is universally avoided in Hindu tradition for auspicious endeavors like marriage, travel, and Griha Pravesh.


Summary

When all five elements are computed accurately using modern ephemeris algorithms and adjusted for local geographic coordinates, the Panchang provides a precise roadmap for harmonizing daily decisions with cosmic natural law.