Upagrahas - Dhuma, Vyatipata, Parivesha, Indrachapa, Upaketu, Gulika, Mandi
Upagrahas are the “sub-planets” of Brihat Parashara Hora Shastra: points with no body of their own (st. 64 calls them non-luminous malefics) that classical kundlis print beside the grahas. /v1/vedic/upagrahas returns all of them for a birth chart.
Endpoint
Section titled “Endpoint”| Endpoint | Credits | What |
|---|---|---|
/v1/vedic/upagrahas | 20 | The five Sun-based points, the five time-based points and Mandi |
The body is the usual birth chart: date, time, timezoneOffset or timezone, latitude, longitude, and ayanamsa (Lahiri by default).
The five counted from the Sun
Section titled “The five counted from the Sun”| Point | Rule | BPHS ch. 3 |
|---|---|---|
| Dhuma | Sun + 4 signs 13°20’ (133°20’) | st. 61 |
| Vyatipata | 360° - Dhuma | st. 62 |
| Parivesha | Vyatipata + 180° | st. 62 |
| Indrachapa | 360° - Parivesha | st. 63 |
| Upaketu | Indrachapa + 16°40’, one sign behind the Sun | st. 63-64 |
These are exact arithmetic on the sidereal Sun. Stanza 64 gives its own check, Upaketu plus one sign equals the Sun, and the tests hold it for every Sun longitude.
The five of the day and night parts
Section titled “The five of the day and night parts”The day from sunrise to sunset, and the night from sunset to sunrise, are each cut into eight parts (st. 66-67). By day the parts run from the lord of the weekday in weekday order; by night from the fifth lord from it; the eighth part has no lord. The part of the Sun is Kala, of Mars Mrityu, of Mercury Ardhaprahara, of Jupiter Yamaghantaka, of Saturn Gulika (st. 68-69). The longitude is the sidereal lagna rising at that moment (st. 70).
Stanza 70 does not say which moment of the part. The response gives the lagna at the start of the part, as Santhanam renders it, and atEndOfPart with the lagna at its end, which the Prasna Marga notes use. Both moments come with partStart and partEnd in UTC.
Mandi is the lagna at the ghatika the Prasna Marga notes to V.14-16 give: 26, 22, 18, 14, 10, 6, 2 ghatis by day and 10, 6, 2, 26, 22, 18, 14 by night from Sunday, scaled to the length of the day or night. It is the same computation as the Mandi of /v1/vedic/prashna/chart.
Status
Section titled “Status”YELLOW. The Sun-based five follow the stanzas word for word. The time-based five rest on a choice the stanza leaves open (start or end of the part), and Mandi on the translator’s notes. Every point carries source, and sources gives the stanza and whether it is the verse, a note or our convention. Sunday’s Gulika is the 7th part by day and the 3rd by night, as in the panchang Gulika Kaal table.
Text: Brihat Parashara Hora Shastra, ch. 3, read in the Sanskrit with word glosses; stanza numbers as in R. Santhanam’s translation. Prasna Marga, Part I, tr. B.V. Raman, 2nd ed., Motilal Banarsidass, Delhi 1991.