Real calculations. No account.

The three cards above say what each calculator returns and what it asks for. This long read goes underneath them: the classical lines the three rest on, the arithmetic the server actually runs, how to read every part of a result, what a missing birth time or place really costs, and where each tool hands over to the rest of the site.

Every figure below was produced for this page by calling the same three request handlers the tools call, on a sample birth chosen for the purpose - 11 March 1994 in Mumbai, with and without a birth time of 06:40 - and a second date, 19 July 1996, for the match. They are not real people. Anything that depends on today was evaluated on 5 October 2026.

One sky, three different questions

Brihat Parashara Hora Shastra sets the frame in a few lines (Ch. 3, Sl. 4-6): the grahas are the bodies that move through the nakshatras, the zodiac holds 27 nakshatras beginning with Ashvini and 12 rashis beginning with Mesha, and the rashi rising in the east is the Lagna. The three tools put three different questions to that frame. The Birth Chart asks where everything was. The Guna Milan Match asks only where two Moons were. Numerology does not look at the sky at all: it reads the written date and, if you give one, the letters of a name.

The next instruction in the same chapter (Sl. 8-9) is the one the software has to honour: take the positions of the grahas for the given time by Drikganit, that is by computation that agrees with observation, and find the Lagna from the rising durations that apply to the place. In the code this is one function, computeChart. It converts the birth instant to a Julian Day, computes tropical longitudes, subtracts the ayanamsa to make them sidereal, and then names each point by sign, degree, nakshatra and pada.

Two things follow. First, this is not Swiss Ephemeris; the methodology page says so in as many words. It also says that no planetary position is compared in a test with a published ephemeris, so it offers no accuracy figure for positions, and neither does this page. The sources page lists which book each rule comes from. Second, houses are whole-sign: the rising sign is the first house whatever the rising degree.

What each detail you type changes

One function reads the form for both astrology tools, and its rules explain every caveat a result can carry. With no birth time it reads the sky at 12:00, the midpoint of the unknown day. With no place it has no coordinates and no time zone, so it assumes Indian Standard Time and says that it did. An ascendant needs a time and a place together; with either one missing the engine is told not to build houses at all, because the only alternative would be to cast them from a placeholder latitude.

A typed place is looked up in a bundled list of cities first and then through the Open-Meteo geocoder, which also returns the IANA time zone. The zone matters: the offset is computed for the birth date itself, so a summer birth in a country that uses daylight saving is read an hour differently from a winter one.

Input is checked before any engine runs. A date must be written as a real calendar date from 1900 onward and cannot lie in the future, so 31 February is refused rather than rolled into March. A time must be HH:MM on the 24-hour clock or left empty. A value that fails is answered with an error message, not quietly coerced into something plausible. Each connection is also limited to twenty calculations a minute.

Reading the Birth Chart result

The nine grahas

Each graha is given by sign, degree within the sign, nakshatra (a 13 degree 20 minute arc), pada (a quarter of that arc) and nakshatra lord. Two flags ride along. Retrograde is measured, not looked up: the engine computes the planet half a day before and half a day after the birth and flags it when the longitude went backwards. The Sun and Moon are never retrograde, and Rahu and Ketu always are by convention. Combust means the graha is within a set distance of the Sun: 17 degrees for Mars, 14 for Mercury (12 when retrograde), 11 for Jupiter, 10 for Venus (8 when retrograde), 15 for Saturn and 12 for the Moon. The same positions can be opened one at a time in the Nakshatra, Moon Sign and Lagna calculators.

Dignity, and the strongest and weakest graha

BPHS Ch. 3 gives the ladder the dignity column is built on. Sl. 49-50 name the exaltation signs of the seven grahas - the Sun in Mesha, the Moon in Vrishabha, Mars in Makara, Mercury in Kanya, Jupiter in Karka, Venus in Meena, Saturn in Tula - with debilitation in the seventh sign from each. Sl. 51-54 mark out the Moolatrikona portions, Sl. 55 derives natural friends and enemies from the Moolatrikona sign, Sl. 56 adds temporary friendship from where two grahas sit in a particular chart, and Sl. 57-58 combine the two. Sl. 59-60 then grade the result: full good effect in exaltation, less in Moolatrikona, half in own sign, a quarter in a friendly sign, and none in debilitation or an enemy sign.

The engine applies the same ladder and labels each of the seven grahas Exalted, Moolatrikona, Own sign, Friendly sign, Neutral, Enemy sign or Debilitated. The nodes are not graded. The strongest and weakest graha are simply the top and bottom of that ladder, and a tie goes to whichever graha comes first in the order Sun to Saturn. That matters when several grahas share a rung: read the whole dignity column, not only the two names in the summary. The element balance counts all nine grahas, nodes included, by the element of the sign each occupies.

The running dasha

BPHS Ch. 46 says that dashas are of many kinds and that Vimshottari is the one appropriate for people in general (Sl. 2-5). Counting from Krittika, the lords run Sun, Moon, Mars, Rahu, Jupiter, Saturn, Mercury, Ketu, Venus (Sl. 12-14) for 6, 10, 7, 18, 16, 19, 17, 7 and 20 years (Sl. 15), 120 in all. The balance at birth is the first lord's period reduced by the fraction of the nakshatra the Moon has already crossed (Sl. 16). The engine uses the same sequence, a year of 365.2425 days, and divides each mahadasha into nine antardashas in proportion to the lords' years, starting with the mahadasha lord itself. The tool shows the mahadasha and antardasha running today and the next mahadasha, with dates; the Vimshottari Dasha calculator opens the same timeline on its own page, and What is a Mahadasha and Antardasha and Pratyantar explain how to read one.

Yogas

Yogas are looked for only when the chart has a Lagna; without one the detection is skipped entirely. Each one found comes with two sentences that should be read separately: the condition actually present in this chart, and the classical reading attached to it. Sunapha, for instance, is Saravali Ch. 13 Sl. 1: any graha except the Sun in the second sign from the Moon. Sasa is one of the five Panchamahapurusha yogas of BPHS Ch. 75 Sl. 1-2: Saturn in its own or exaltation sign in a kendra from the Lagna. What a yoga in your chart means covers how much weight one deserves, and the Yogas calculator runs the same detection on its own page.

One birth, read two ways

Here is the sample birth entered twice: once as a date alone, once with a time and place.

The dasha rows can be checked by hand. With the time, the Moon is at 12.42 degrees of Aquarius, which is 312.42 degrees of the zodiac, inside Shatabhisha (306 degrees 40 minutes to 320 degrees). Shatabhisha is the 22nd nakshatra counted from Krittika; 22 divided by nine leaves four, and the fourth lord in the BPHS list is Rahu, with 18 years. The Moon has crossed 5.75 of the 13.33 degrees, about 43 percent, so about 57 percent of Rahu remains: 10.23 years, ending in June 2004. Jupiter's 16 years reach June 2020 and Saturn's 19 reach June 2039, exactly what the tool printed. So this sample is in its Saturn Mahadasha either way, but not on the same dates.

At noon the Moon stands at 15.16 degrees instead, 64 percent of the way through the nakshatra, leaving 6.53 years of Rahu and pulling every later boundary back to September. A difference of five hours and twenty minutes in the birth time moved the Moon 2.74 degrees and moved each dasha date by about three years and eight months. In a chart that opens in Rahu, one degree of the Moon is worth 1.35 years. This is why the date-only result still names a dasha, yet its dates are the first thing a birth time corrects - even on a day when the nakshatra itself is not in doubt.

The Lagna is more sensitive still. Santhanam's note to BPHS Ch. 3 says a degree takes about four minutes to rise, depending on latitude, and the engine agrees: for this morning in Mumbai it gives Aquarius 20.73 at 06:36, 22.00 at 06:40 and 23.27 at 06:44. At 07:00 the Lagna is Aquarius 28.37; at 07:10 it is Pisces 1.58, and with whole-sign houses every graha moves back one house. The Sun goes from the 1st to the 12th, Jupiter from the 9th to the 8th, Venus from the 2nd to the 1st. Place matters too: 06:40 in Delhi gives Aquarius 26.52, four and a half degrees further on than Mumbai.

The yoga list follows the houses. At 06:40 the engine reports Sunapha, Vesi, Sula, Sasa, Dhan Yoga (Wealth), Raj Yoga (Kendra-Kona) and Parivarthana, and its own text for Sasa states the condition: Saturn in Moolatrikona in Aquarius, in the 1st house. At 07:10 Saturn is in the 12th, so Sasa is gone; exalted Venus now sits in the 1st, so Malavya appears, and the list grows to nine. Ten minutes changed which Panchamahapurusha yoga the chart is said to hold. That is simply how much a first house depends on the clock, and why the tool will not guess one.

The Numerology tool: every number and its rule

Numerology here is arithmetic on the written date, so it has no precision problem to disclose. The rules come from the numerology books in this project's library and are written down, with worked examples, in the project's rules document. The table gives each rule beside what it returns for the sample date and for the name used in that document, Aarav Kapoor.

Advanced Vedic Numerology defines the Moolank as the sum of the birth day alone and the Destiny Number as the total of the full date, and separates their roles: the first describes nature, the second what happens to a person. Mulank, Bhagyank and Life Path sets the two calculations side by side. Because the Mulank is reduced, it can be a digit that never appears in the grid. The sample shows it: Mulank 2, with no 2 anywhere in 11-3-1994. The rules document flags this as correct behaviour, not a fault.

The Lo Shu square is described in Numerology Masters Notes as a three-by-three arrangement of 1 to 9 in which every line totals 15; the digits of the birth date are placed in their fixed cells, zero is disregarded, and the grid then shows which energies are present and which are missing. That is all the grid panel does, and Lo Shu grid: missing numbers explains what an empty cell does and does not mean. The arrows panel tests eight straight lines through the same digits. For seven of them, the engine notes, its source book gives both a favourable and an unfavourable reading without a rule for choosing, so it returns both rather than picking one. The sample date completes no line.

The two timing systems are deliberately different. Pinnacles follow Numerology Professional Course Notes: four long cycles built by addition, the first ending at 36 minus the Life Path Number, the next two lasting nine years each, the fourth running on. Life Challenges follow Numerology Made Easy, Ch. 8: three interim challenges and one main challenge that lasts the whole life, built by subtraction, so they can come to zero and never exceed eight. The personal year, month and day are the only numbers that change after birth. They are read on the reader's calendar date, with Indian time as the default, and Personal Year number is the longer read on the first of them.

Two details are easy to miss. The favourable days, colours, numbers and dates are not a separate opinion: all are derived from the Mulank and the planet that rules it, and the favourable numbers come from the same harmony table the match tool uses, so the two cannot contradict each other. And the name numbers need Latin letters. A name typed only in Devanagari returns no name numbers, with a reason code, because transliterating it would mean choosing a spelling and the spelling is exactly what these numbers measure. Single pieces of this result have their own pages: Lo Shu Grid, Life Path, Personal Year and Name Number.

The Guna Milan tool: two Moons, eight comparisons

Everything in the score is drawn from two sidereal Moon longitudes. Each gives a Moon sign and a Moon nakshatra, and each of the eight kootas compares one or the other. The Moon is computed for the centre of the Earth, so the coordinates of the birth place do not enter at all; only the instant does. That is why the tool can work from two dates and why it treats times as optional.

A word on sources, because this tool is the one place where the engine says openly what it cannot cite. Which signs belong to which Varna class follows BPHS Ch. 4 for the nine rashis it classes, with the other three taking the value of their element, and the friend and enemy lists used by Graha Maitri are the ones BPHS Ch. 3 Sl. 55 derives. The point scales themselves - how much each friendship grade is worth, which sign distances zero Bhakoot - are not given in any book in this project's library, and the engine's own header says so. Since October 2026 they follow published Kundli-matching references where those agree, named in that header, and keep the previous value where they disagree. Varna is used here only as the classical name of the koota; it classifies Moon signs, not people. The sources page shows what is and is not backed by a text.

The headline is the total as a percentage: 75 or more reads Strong match, 55 or more Workable match, 35 or more Mixed, anything lower Challenging match. Marriage scores all eight kootas out of 36. Business and Friendship score only Tara, Graha Maitri, Gana and Bhakoot, out of 21. The koota marked as needing most attention is the one with the lowest score relative to its own maximum among those that count. The number match beside it is a separate reading: it checks the two Mulanks and the two Bhagyanks against one harmony table and says Strong when both pairs agree, Workable when one does, Needs effort when neither does. It is never added to the gunas. The Kundli Matching and Love Compatibility pages in the catalogue are served by this same handler: one engine under two names.

The sample pair

For 11 March 1994 with 19 July 1996, dates only, the tool reads an Aquarius Moon in Shatabhisha against a Leo Moon in Magha: Varna 1, Vashya 0.5, Tara 1.5, Yoni 2, Graha Maitri 0, Gana 6, Bhakoot 7, Nadi 8. That is 26 of 36, 72 percent, a Workable match one point short of Strong. It is also marked provisional. During their birth days the first Moon passed from Shatabhisha into Purva Bhadrapada and the second from Magha into Purva Phalguni, while neither changed sign. So the four nakshatra kootas, 21 points, are not settled, and the four sign kootas, 15 points, are.

Add birth times of 06:40 and 14:15 and the second Moon turns out to be in Purva Phalguni. Gana drops from 6 to 3, the total becomes 23 of 36, 64 percent, still a Workable match, and all 36 points are now settled. The provisional label was doing real work: the three points that moved were among the 21 it had named. The weakest koota, Graha Maitri at 0 of 5 for Saturn and Sun, mutual enemies in BPHS Ch. 3 Sl. 55, was a sign koota and stayed put throughout.

How often a missing birth time matters

Rather than print a general warning, both astrology tools, when no birth time is given, run the engine at 00:00 and at 23:59 of the birth date and compare the two Moons. The same test was run for this page on every date from 1990 to 1999, 3,652 in all, on the Indian clock.

• On 104 dates (2.8 percent) the Moon kept both its sign and its nakshatra all day. These are the only dates on which a date-only reading of the Moon is fully settled, and the tool says so when it happens; 15 March 1990, with the Moon in Swati throughout, is one.
• On 1,944 dates (53.2 percent) the nakshatra changed while the sign held. For a match, that person's 15 sign points are firm and the 21 nakshatra points are not.
• On 1,604 dates (43.9 percent) the Moon changed sign, and on all but 50 of them its nakshatra as well. A match with such a date and no time then has all 36 points at risk; 15 May 1990 is one.

The reason is plain arithmetic. Across that decade the engine's Moon covered between 11.76 and 15.36 degrees in a day, and a nakshatra is 13.33 degrees wide, so a day almost always contains a boundary. A sign is 30 degrees wide, so a little under half of all days contain a sign change. Birth time unknown sets out what can still be read in that case, and Moon sign and nakshatra explains what each of the two is.

Limits to keep in view

• The astronomy is analytical, not a full ephemeris. The five planets come from orbital elements precessed to the date; checked against the VSOP87 theory for 1950 to 2030 they fall within 0.02 degree for Mercury, Venus and Mars and 0.16 degree for Jupiter and Saturn. A graha that close to a sign or nakshatra boundary can fall on the other side in a program built on a full ephemeris. In the sample chart Mercury, at 0.48 degrees of Aquarius, is the placement to double-check. The planetary elements are stated for 1800 to 2050, and the tools accept dates from 1900.
• One ayanamsa is used, Lahiri. A site using another will place every point a fixed amount away, which near a boundary changes a sign or a nakshatra. The Ayanamsa calculator shows the value for any date, and Why apps disagree on your nakshatra works through the cases.
• Rahu and Ketu are the mean nodes. A program using the true node can differ by up to about 1.9 degrees.
• Houses are whole-sign only; no other house system is offered.
• In the match, Varna compares the first person with the second, so its single point depends on the order of entry. The sample pair scores 27 one way and 26 the other, which is the difference between Strong and Workable at that exact total.
• Apart from the number match, the tool scores the eight kootas and nothing else. It does not test Mangal Dosha; that has its own Mangal Dosha calculator and its own explainer, Mangal Dosha: what it is and is not.
• Some koota notes use the traditional vocabulary of health and vitality. That is classical wording for a category of comparison, not medical advice about either person.

From three tools to the rest of the site

Behind the three tools the same engine answers narrower questions one at a time in the calculator catalogue: the Navamsa and the other divisional charts, Shad Bala strength, Sade Sati dates, and a full Numerology Profile. The convergence page runs astrology and numerology separately on one birth date and reports whether they agree about the next twelve months, and When astrology and numerology disagree takes up the case where they point different ways. The feature pages for Kundali, Timing, Numerology and Compatibility describe what the signed-in app does with the same inputs, and the learn library holds the longer explanations.

Questions about the free calculators

Can I get a birth chart without knowing my birth time?

Yes, in part. A date alone gives the sign and nakshatra of all nine grahas as they stood at midday, the dignity of each, the element balance, a Vimshottari dasha and three core numbers. It cannot give a Lagna, houses or yogas, and the tool leaves those out instead of estimating them.

Why does a date-only reading use noon?

Noon is the midpoint of the unknown day, so it is the single choice that can be least wrong: the true Moon is at most about half a day of motion away. The tool then measures the cost of that choice by reading the Moon at both ends of the day and reporting whether its sign or nakshatra changed.

Why did my dasha dates move when I added a birth time?

The balance of the first dasha is set by how far the Moon has travelled through its nakshatra (BPHS Ch. 46 Sl. 16), and the Moon moves about half a degree an hour. In the sample chart five hours and twenty minutes shifted every dasha boundary by roughly three years and eight months, with the nakshatra unchanged.

Why does another site show a different Lagna or nakshatra?

The usual causes are a different ayanamsa, a different time zone for the birth, the true node instead of the mean node for Rahu and Ketu, or a position that sits very close to a boundary. The Lagna also changes by about a degree every four minutes, so a small difference in the recorded time is enough. Why apps disagree on your nakshatra goes through each case.

What does it mean when points of the match are not settled?

It means at least one birth time is missing and that person's Moon changed nakshatra or sign during the day. Kootas that read the part that changed could score differently once the time is known. The tool names those kootas, totals their maximum points, and tells you how many points are unaffected.

Does the birth place matter for Guna Milan?

Its coordinates do not, because the Moon is computed for the centre of the Earth. Its time zone does. A birth time given without a place is read as Indian Standard Time, so for a birth outside India add the place, or the clock time will be converted with the wrong offset.

What score counts as a good match?

The tool has four bands and no pass mark: Strong match from 75 percent, Workable match from 55, Mixed from 35, Challenging below that. A total hides which kootas produced it, and one point can cross a band, as the sample pair shows. The eight rows are the reading; the band is a summary of them.

Is the numerology result affected by birth time or place?

No. Every number is computed from the calendar date as written, and the name numbers from the letters as typed. The only values that change later are the personal year, month and day, which depend on today's date where you are reading.

Why are there no name numbers for a name typed in Hindi?

The letter table covers the Latin alphabet. Converting a Devanagari name would force the engine to pick one spelling out of several, and different spellings give different numbers. So it returns none and says why. Type the name in Latin letters as you actually spell it.

Why does the chart say no yogas were found?

Either the chart has no Lagna, in which case yogas were not attempted, or it has one and none of the tested rules is met. The second is an ordinary result. A yoga is a specific arrangement, and yogas are not present in every chart; see What a yoga in your chart means.