D10 Chart Calculator

A calculate d10 chart request answers a focused question in Vedic astrology: not just which sign each planet occupies at birth, but which tenth part of that sign, the Dasamsa, each planet falls in, and therefore where it lands in the career chart. The D10 chart divides every 30-degree sign into ten equal divisions of 3 degrees each, and classical texts treat it as the divisional lens on profession, public standing, achievement, and social duty. This free calculator computes the sidereal longitudes of the Sun, Moon, Mars, Mercury, Jupiter, Venus, Saturn, Rahu and Ketu from real astronomy, then maps each planet into its division number, its D10 sign under the Parashara odd/even counting rule, the traditional lord of that D10 sign, and its presiding digpala, one of the ten rulers of the directions.

The calculation is deterministic and transparent. Your birth date, birth time, and timezone become a single UTC instant; each planet’s sidereal longitude is computed with a standard low-precision planetary theory minus the Lahiri ayanamsa; the degrees each planet has traversed within its sign decide the division; and the odd/even rule places it in the D10 chart. The tool loads with a worked example already rendered, so you can inspect real numbers before typing anything, and it states its conventions openly, including the one place where published lists disagree about the name of the fourth digpala.

What is the D10 chart (Dasamsa)

Dasamsa is a Sanskrit compound meaning the tenth division: each rashi, or sign, is cut into ten equal parts of 3 degrees each. It is one of the sixteen shodasavargas, the classical set of divisional charts described by Parashara in the Brihat Parashara Hora Shastra, and it is the divisional chart of the tenth house, the house of karma, profession, and public life. Where the birth chart (D1) shows the planets across twelve signs and the Navamsha (D9) divides each sign into nine parts for marriage and dharma, the D10 resolves each sign ten ways for career, giving 120 divisions across the whole zodiac.

Tradition reads the D10 as a refinement of the tenth house, not a replacement for it. The classical teaching, summarized on the standard reference pages for this varga, is that the D1 tenth house shows the broad promise of career, while the D10 shows how that promise takes shape in public life: the kind of work, the standing it brings, the recognition or resistance it meets, and the dignity attached to it. The D10 is also read as a confirmation chart. If the career indications of the birth chart and the Navamsha are confirmed in the D10, tradition treats them as stronger; if they are contradicted there, tradition advises lowering the expectation. No single divisional chart is read alone, and the D10 is no exception.

Each of the ten divisions carries the name of a digpala, a ruler of a direction, from Indra in the east through Agni, Yama, Rakshasa, Varuna, Vayu, Kubera and Isana to Brahma at the nadir and Ananta at the zenith. These ten names are the same for every sign; what changes with the natal sign is the order in which they apply, forward for odd signs and reversed for even signs, as explained in the calculation section below. The digpala names give the astrologer a symbolic vocabulary for each 3-degree slice, the way the nakshatra names give a vocabulary for the Moon’s thirteen-degree mansions.

Because each division spans 3 degrees, the D10 is sensitive to birth time, though less brutally so than the finer divisions. The Moon crosses a full division roughly every 5 to 6 hours, so a birth time that is off by several hours can move the Moon, and sometimes a slower planet near a boundary, into the neighboring division with a different D10 sign and digpala. This is why traditional astrologers insist that divisional charts should only be trusted when the birth time is accurate, and why this calculator labels its date-only results as provisional. A rounded birth time, such as exactly 6:00, deserves a second look against the birth record.

One honest framing note before you use the tool. The astronomical half of this page is computed with real orbital mechanics and checked against published data: the planetary longitudes, the Lahiri ayanamsa, and the division arithmetic are all verifiable numbers. The interpretive half, what it means for a planet to sit in the division of Kubera or Varuna, belongs to astrology’s symbolic language, transmitted for centuries in the Jyotish tradition. Take what resonates, hold it lightly, and enjoy the precision of the calculation underneath it.

How to use this calculator

1. Enter your birth date. Pick the year, month, and day. Dates from 1900 to 2100 are accepted.
2. Enter your birth time as accurately as you know it. Each division spans only 3 degrees, and the Moon crosses one roughly every 5 to 6 hours, so an accurate time is what makes the D10 meaningful. Hospital records and birth certificates beat family memory.
3. If you do not know the birth time, tick the date-only box. The tool then computes the planets for 12:00 noon local time and labels the whole chart PROVISIONAL, because the true divisions may differ.
4. Choose the timezone of the birthplace. Pick the nearest city from the dropdown, or choose Custom UTC offset and type the offset in hours if your city is not listed.
5. Check daylight saving. DST is not auto-applied. If the birthplace observed summer time on the birth date, adjust your time or enter the offset that was actually in effect, for example UTC+1 for a summer birth in London rather than UTC+0.
6. Press Find my D10 chart. The tool converts your birth time to UTC, computes the nine sidereal longitudes, derives each planet’s division, and places it in the D10 chart by the odd/even rule.
7. Read the spotlight. Your Moon’s division and digpala, its D10 sign and lord, and the most occupied D10 signs are summarized at the top.
8. Walk the tables. The planet table gives every graha’s sidereal position, division, D10 sign, D10 lord and digpala; the twelve-sign grid shows which planets share each D10 sign; and the ten-division reference table lists every division with its odd-sign and even-sign digpala.
9. Copy or print your result. The copy button saves a plain-text summary for your notes, and the print button produces a clean black-and-white version.

How this calculator computes your D10 chart

The calculation starts by turning your birth details into a single astronomical instant. Your birth date, birth time, and UTC offset are combined into a UTC timestamp, which becomes a day number d on the standard scale where d = 0 is 2000 Jan 0.0 UT. In date-only mode the tool uses 12:00 noon local time for this step and labels the result provisional.

Planetary positions come from the standard low-precision planetary theory: geocentric tropical longitudes for the Sun, Moon, Mercury, Venus, Mars, Jupiter and Saturn are computed from their orbital elements with the usual perturbation terms, then the Lahiri ayanamsa is subtracted to give the sidereal longitudes used in Vedic astrology. The linear Lahiri formula is ayanamsa = 23.85696 + (JD – 2451545.0) / 36525 x 1.396971 degrees, where JD is the Julian day of birth. Rahu is the mean lunar node, node = 125.1228 – 0.0529538083 x d degrees tropical minus the ayanamsa, and Ketu sits exactly opposite at Rahu + 180 degrees. This is the same verified engine core used across our Vedic calculators, accurate to a few arcminutes, which is ample for 3-degree division work but not ephemeris grade.

The division number follows from the degrees each planet has traversed within its sign: division = floor(degrees within sign / 3) + 1, giving division 1 through 10. A planet at 15.0 degrees within its sign sits in division 6; a planet at 29.9 degrees sits in division 10. The D10 sign, its lord, and its digpala then follow the Parashara rule quoted from BPHS Sarga 6, shloka 13-14, on the standard reference pages: starting from the same rashi for an odd rashi and from the 9th with reference to an even rashi, the ten dashamamshas, each of 3 degrees, are reckoned, and in the case of an odd rashi they are presided over by the ten rulers of the cardinal directions, in reverse order for an even rashi.

In the tool’s arithmetic that rule becomes explicit. In an odd sign (Aries, Gemini, Leo, Libra, Sagittarius, Aquarius) the count runs forward from the sign itself: the first 3-degree division belongs to the sign itself, and D10 sign = sign((signIndex + division – 1) mod 12), with the digpala being the division-th name in the list. So a planet in division 1 of Aries is in D10 Aries under Indra, and a planet in division 10 of Aries is in D10 Capricorn under Ananta. In an even sign (Taurus, Cancer, Virgo, Scorpio, Capricorn, Pisces) the count runs forward from the 9th sign counted from the natal sign: D10 sign = sign((signIndex + 8 + division – 1) mod 12), with the digpala being the (11 – division)-th name. So a planet in division 1 of Taurus is in D10 Capricorn under Ananta, a planet in division 2 of Taurus is in D10 Aquarius under Brahma, and a planet in division 10 of Taurus is in D10 Libra under Indra. Note the contrast with the D60 chart, where the even-sign count runs backward from the natal sign; for D10 the even-sign count runs forward from the 9th sign, and confusing the two rules is the most common D10 calculation error.

The D10 sign lord is simply the traditional lord of the resulting D10 sign: Aries Mars, Taurus Venus, Gemini Mercury, Cancer Moon, Leo Sun, Virgo Mercury, Libra Venus, Scorpio Mars, Sagittarius Jupiter, Capricorn Saturn, Aquarius Saturn, Pisces Jupiter. This scheme uses the seven classical planets plus the two nodes as planets, and it does not use the outer planets as sign lords. The lord column answers the question astrologers ask next after finding a D10 sign: which planet rules that sign, and where does that planet sit in the birth chart and in the D10 chart itself.

The ten digpala names follow the BPHS list, the edition most Jyotish references use: Indra, Agni, Yama, Rakshasa, Varuna, Vayu, Kubera, Isana, Brahma, and Ananta. Their directions are east, southeast, south, southwest, west, northwest, north, northeast, nadir (downward), and zenith (upward) respectively. One naming variant is worth knowing before you compare sources: some lists call the fourth digpala Nirriti instead of Rakshasa, call Vayu Marut, spell Isana as Ishana, and spell Ananta as Anantha. The direction and the position are the same; only the name spelling varies, and the page below documents that variance openly rather than hiding it.

Worked example

Here is a worked example so you can see exactly what the tool computes. The tool loads with this example ready: birth date August 24, 1995, birth time 14:30, timezone Delhi, India (UTC+5:30).

First the time conversion. 14:30 at UTC+5:30 is 09:00 UTC on August 24, 1995, which is day number d = -1589.625 and Julian day 2449953.875. The Lahiri ayanamsa for that instant is 23.7961 degrees. The engine’s sidereal longitudes are: Sun 126.9493 (Leo 6.95), Moon 105.8181 (Cancer 15.82), Mars 177.1447 (Virgo 27.14), Mercury 149.6369 (Leo 29.64), Jupiter 222.4309 (Scorpio 12.43), Venus 127.8805 (Leo 7.88), Saturn 329.1026 (Aquarius 29.10), Rahu 185.5034 (Libra 5.50), Ketu 5.5034 (Aries 5.50). The Moon’s sidereal longitude, 105.8181, is the established cross-check value from the earlier D60 build for this same birth instant, which confirms that the shared engine is reproducing its verified numbers.

Now the divisions, worked by hand. The Moon has traversed 15.8181 degrees of Cancer, an even sign, so division = floor(15.8181 / 3) + 1 = 6; counting forward from the 9th sign from Cancer, which is Pisces, the sixth division lands in Leo, whose lord is the Sun, and the digpala is the (11 – 6) = 5th name, Varuna. You can check the 9th-sign step directly: counting inclusively from Cancer, Cancer is 1st, Leo 2nd, Virgo 3rd, Libra 4th, Scorpio 5th, Sagittarius 6th, Capricorn 7th, Aquarius 8th, Pisces 9th, so the divisions run Pisces, Aries, Taurus, Gemini, Cancer, Leo, and division 6 is Leo. The full mapping is: Sun, division 3 of Leo, D10 Libra, lord Venus, Yama; Mars, division 10 of Virgo, D10 Aquarius, lord Saturn, Indra; Mercury, division 10 of Leo, D10 Taurus, lord Venus, Ananta; Jupiter, division 5 of Scorpio, D10 Scorpio, lord Mars, Vayu; Venus, division 3 of Leo, D10 Libra, lord Venus, Yama; Saturn, division 10 of Aquarius, D10 Scorpio, lord Mars, Ananta; Rahu, division 2 of Libra, D10 Scorpio, lord Mars, Agni; Ketu, division 2 of Aries, D10 Taurus, lord Venus, Agni. Notice that Rahu and Ketu share the digpala Agni but occupy different D10 signs, which the geometry forces: they sit 180 degrees apart with the same degrees traversed within their signs, and their signs have different parity.

In the twelve-sign grid, Libra holds the Sun and Venus, Scorpio holds Jupiter, Saturn and Rahu, Taurus holds Mercury and Ketu, Leo holds the Moon, and Aquarius holds Mars. In traditional lore, Mercury in the final division of Leo under Ananta, the endless, is read as a boundless finish to a fiery placement, while Mars in the final division of Virgo under Indra, king of the gods, sits at the peak of the sign’s final degrees. As always, this is the symbolic layer for reflection; the astronomical layer, nine sidereal longitudes mapped by exact 3-degree arithmetic, is the verifiable part.

How to read your result

Your result has four parts. First, the spotlight: your Moon’s division number, its natal sign and digpala, its D10 sign and lord, and the most occupied D10 signs in your chart, plus the ayanamsa value used. The Moon gets the spotlight because it moves fastest and its division is the most time-sensitive; if your birth time is off by several hours, the Moon’s division is the first thing that shifts.

Second, the planet table: all nine grahas with their sidereal sign and degree, division number out of 10, D10 sign, D10 lord, and presiding digpala with the traditional meaning of the name. Read down the D10 sign column to see the shape of your divisional chart at a glance: clusters of planets in one D10 sign concentrate that sign’s themes in the career layer, while an even spread diffuses them. Then read the lord column: a D10 sign whose lord is strong in your birth chart traditionally supports that career theme, while a weak or afflicted lord tempers it.

Third, the twelve-sign occupancy grid: a visual map of which planets fall in each D10 sign. Empty signs are marked empty; they are not bad, they simply carry no planetary tenant in this division. This grid is the quickest way to compare your D10 against someone else’s, or against your own birth chart’s sign placements.

Fourth, the ten-division reference table: every division with its degree range and its odd-sign and even-sign digpala, so you can look up any division’s presiding name. Remember that for even signs the digpala order reverses: division 1 of an even sign takes the 10th name, Ananta, and division 10 takes the 1st name, Indra. The meanings are classical name glosses, the king of the gods, fire, restraint and judgment, waters and cosmic order, wind, wealth, lordship, the creator, the endless, offered as symbolism rather than verdicts.

A few reading notes from the tradition. Planets in the early divisions of a sign sit near its beginning in the D10 cycle, while planets in the late divisions (9 and 10) have nearly completed the ten-step journey through the zodiac within that one sign. The tradition pays special attention to the D10 ascendant and its lord, to the lord of the tenth house of the D10 chart, and to the planets sitting in the D10 tenth house itself, though this calculator maps the nine planets only and does not compute the D10 Lagna, as disclosed below. And because Rahu and Ketu always sit exactly opposite, they always share the same division number and, when their signs share odd/even parity, the same digpala name, while never sharing a D10 sign. In the worked example both signs are odd, Libra for Rahu and Aries for Ketu, so both take the forward digpala order and both land on Agni at division 2; the parity rule is what decides this, not coincidence.

D10 reference: the 10 Dasamsa divisions and their traditional meanings

The digpala list is the soul of the D10. Each 3-degree division is said to be presided over by a ruler of a direction, and the ten names run a full symbolic gamut: sovereignty and fire (Indra, Agni), judgment and order (Yama, Varuna), the guardian of the southwest (Rakshasa), wind and wealth (Vayu, Kubera), lordship (Isana), and the two poles of the vertical axis, the creator below (Brahma) and the endless above (Ananta). The tool shows each name with its traditional gloss and its direction so the symbolism is legible even if you read no Sanskrit.

These meanings are lore, not predictions. A planet in the division of Yama, restraint and judgment, does not foretell punishment; in the classical symbolic language it speaks of discipline, accountability, and the gravity the planet carries in the career layer of the chart. A planet under Kubera, wealth, is read as operating with an eye to resources and stewardship. The names are evocative on purpose: they give the astrologer a poetic vocabulary for the 3-degree slice, the way the nakshatra names give a vocabulary for the Moon’s thirteen-degree mansions.

Now the honest complication: published lists of the ten names do not fully agree on spelling. This tool uses the BPHS list, the one most Jyotish references follow, verified against a full published rendering of BPHS Sarga 6, shloka 13-14. But other respected lists spell the same ten differently: Rakshasa appears as Nirriti or Nirrti, Vayu appears as Marut, Isana appears as Ishana, and Ananta appears as Anantha. If you compare this calculator against another source and a digpala name looks different, check whether it is a spelling variant of the same direction-ruler before concluding anything is wrong. The division numbers, the odd/even counting rule, and the D10 signs are stable across lists; it is the name spellings that vary. One further trap to avoid: some popular summaries describe the D10 even-sign rule loosely as counting backward, by analogy with other vargas. The BPHS text and the worked examples in the references used here agree that the even-sign D10 count starts at the 9th sign and proceeds forward, and this calculator follows that rule.

What this calculator does not do

Honest limits, stated plainly. This tool does not compute the D10 Lagna (ascendant): the ascendant needs the birthplace’s latitude, which is not collected, so only the nine planets are mapped. It uses a low-precision planetary engine, accurate to a few arcminutes, which is ample for 3-degree divisions but not ephemeris grade; within a few arcminutes of a division boundary, a high-precision ephemeris could disagree on the division. In date-only mode the planets are pinned at local noon and the whole chart is labeled provisional, because the Moon crosses a division roughly every 5 to 6 hours and the true birth-time divisions may differ. The digpala names follow one spelling edition of the classical list; other lists use variants such as Nirriti, Marut, Ishana, and Anantha, as documented above, so cross-check the edition when comparing sources. Rahu and Ketu are the mean nodes, not the true osculating nodes; the two differ by up to about 1.5 degrees, which can matter near a division boundary. Finally, nothing here is a prediction: the digpala meanings are centuries-old symbolic lore, and a single division never describes a whole career on its own. Read the D10 alongside the birth chart and the Navamsha, as tradition advises, and treat it as confirmation and refinement rather than a verdict.

Frequently asked questions

What is the D10 chart in Vedic astrology?

The D10 chart, or Dasamsa chart, is the tenth divisional chart of Vedic astrology. Each 30-degree sign is divided into ten equal parts of 3 degrees, called divisions, giving 120 divisions across the zodiac. It is one of the sixteen classical shodasavargas described by Parashara, and tradition reads it as the refinement of the tenth house: profession, public standing, achievement, and social duty.

How is the D10 chart calculated?

Take the degrees each planet has traversed within its sign and compute division = floor(degrees / 3) + 1, giving division 1 to 10. In odd signs (Aries, Gemini, Leo, Libra, Sagittarius, Aquarius) count forward from the sign itself: D10 sign = sign((signIndex + division – 1) mod 12). In even signs (Taurus, Cancer, Virgo, Scorpio, Capricorn, Pisces) count forward from the 9th sign counted from the natal sign: D10 sign = sign((signIndex + 8 + division – 1) mod 12). The digpala is the division-th name in the ten-name list for odd signs, and the (11 – division)-th name for even signs.

Why does the D10 chart need an accurate birth time?

Because each division spans only 3 degrees. The Moon crosses one division roughly every 5 to 6 hours, so a birth time that is off by several hours can put the Moon, and sometimes slower planets near boundaries, into the wrong division with the wrong D10 sign and digpala. This calculator requires a birth time for full results and labels its noon-fallback date-only mode as provisional for exactly this reason.

What are the 10 digpalas of the D10 chart?

The ten digpalas are the rulers of the directions, in odd-sign order: Indra (east), Agni (southeast), Yama (south), Rakshasa (southwest), Varuna (west), Vayu (northwest), Kubera (north), Isana (northeast), Brahma (nadir, downward), and Ananta (zenith, upward). For even signs the order reverses, so division 1 of an even sign takes Ananta and division 10 takes Indra. The tool result page includes the full table with the traditional meaning of each name.

What is the D10 sign lord in the result table?

The D10 sign lord is the traditional ruler of the sign a planet lands in after the Dasamsa mapping, using the Vedic scheme: Aries Mars, Taurus Venus, Gemini Mercury, Cancer Moon, Leo Sun, Virgo Mercury, Libra Venus, Scorpio Mars, Sagittarius Jupiter, Capricorn Saturn, Aquarius Saturn, Pisces Jupiter. Astrologers read the lord next because a D10 sign whose lord is strong in the birth chart traditionally supports that career theme, while a weak lord tempers it.

Why do some sources call the fourth digpala Nirriti instead of Rakshasa?

Because the classical ten-name list survives with spelling variants, not because the rule differs. This calculator follows the BPHS list, which names the fourth digpala Rakshasa, while some lists call the same southwest direction-ruler Nirriti or Nirrti. The same kind of variant gives Marut for Vayu, Ishana for Isana, and Anantha for Ananta. The direction, the position, and the counting rule are the same in every list; only the name spelling varies, so check for variants before comparing sources.

Does this calculator show the D10 Lagna?

No. The D10 ascendant needs the birthplace latitude, which this calculator does not collect, so it maps only the nine planets: Sun, Moon, Mars, Mercury, Jupiter, Venus, Saturn, Rahu, and Ketu. Sign-only D10 work needs no birthplace, and the page states the omission openly rather than estimating an ascendant from incomplete data.

Is this d10 chart calculator free?

Yes, it is completely free and no account or signup is needed. Enter your birth date, birth time, and timezone to get each planet’s sidereal position, division number, D10 sign, D10 lord, and presiding digpala, plus the twelve-sign occupancy grid and the ten-division reference table. Use the copy button to save your result as plain text.

Related tools

• D60 chart calculator: map the same nine planets into the sixty Shashtiamsha divisions, the finest divisional lens, for comparison with your D10 career layer.
• Atmakaraka calculator: find your soul-significator planet, the highest-degree Jaimini chara karaka, and see how it fares in the D10 career chart.
• Darakaraka calculator: find the lowest-degree chara karaka and its sign, the complementary significator to check alongside career placements.

About the author

This D10 chart calculator was built by Saba for ZodiaScope. Saba builds astronomy-accurate astrology tools alongside traditional interpretations: the planetary longitudes on this page are computed with a standard planetary theory minus the Lahiri ayanamsa, the division numbers and D10 signs follow the Parashara odd/even rule by exact 3-degree arithmetic with the even-sign count starting from the 9th sign, and the ten digpala names are verified against a published rendering of BPHS Sarga 6, shloka 13-14, with name variants disclosed, while the digpala meanings follow traditional Jyotish teachings. Interpretations are offered for reflection and entertainment.

Published: October 25, 2026. Last updated: October 25, 2026.