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Cited by 0Historical, Religious, and Philosophical StudiesReligious Studies and Spiritual PracticesHistorical Astronomy and Related Studies

Decoding the Vimshottari dasha system: An observational analysis through geometry, symbolism, and psychology

Open access
Ravindran, Remya Tharackal·2026·International Journal of Jyotish Research
DOI 10.22271/24564427.2026.v11.i9a.350
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Abstract

The Vimshottari dasha system is the foundational predictive framework of Vedic astrology (Jyotisha), allocating a 120 year cycle across nine planetary rulers in a fixed chronological sequence. While universally practiced, classical astrological texts lack a definitive mathematical or structural derivation for the specific year allocations assigned to each planet. This paper presents an observational analysis that reconstructs the Vimshottari durations using an integrated framework of sacred geometry, symbolic logic, and Jungian psychological archetypes. By mapping the planetary lords of the 27 nakshatras (lunar mansions) across a 360° zodiac—divided into three 120° arcs—the planetary layout reveals two perpendicular thematic axes: the vertical Axis of Being (Conscious vs. Conditioned Self) and the horizontal Axis of Becoming (Exploration vs. Dissolution). When this geometric mandala is bound by rigid symbolic, psychological, and mathematical constraints (such as anchoring the Moon at 10, establishing relational equations like Sun+Moon=Jupiter, and enforcing intersecting 60-sum geometric parameters), the system yields the classical Vimshottari numbers as the unique, positive integer solution. This structural reconstruction highlights a profound, hidden coherence underlying the dasha system, demonstrating how geometry, psychology, symbology and karmic time allocations elegantly converge.

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Written from the paper’s full text.

TL;DR

The paper reconstructs the Vimshottari dasha durations by mapping the 27 nakshatra lords onto a 360° zodiac divided into three 120° arcs and applying geometric, symbolic, and Jungian psychological constraints. It claims the classical planetary year allocations emerge as the unique positive integer solution under those combined constraints.

Key findings

  • The classical Vimshottari sequence is given as Ketu 7 → Venus 20 → Sun 6 → Moon 10 → Mars 7 → Rahu 18 → Jupiter 16 → Saturn 19 → Mercury 17, totaling a 120-year cycle.
  • The nakshatra rulership pattern repeats three times across the 360° zodiac, dividing it into three 120° arcs, with the planetary sequence identical to the Vimshottari order.
  • Two perpendicular axes are proposed: a vertical Axis of Being (Sun/Moon as Conscious Self vs. Saturn as Conditioned Self) and a horizontal Axis of Becoming (Rahu as Explorative Drive vs. Ketu as Dissolution Drive).
  • The paper states that when constraints such as Moon = 10, Sun + Moon = Jupiter, Mars = Ketu, and intersecting 60-sum geometric parameters are applied simultaneously, the system becomes fully determined with only one positive integer solution for each planetary duration.

Methods

  • Observational and structural reconstruction using sacred geometry, symbolic logic, and Jungian psychological archetypes, rather than empirical or historical derivation.
  • The analysis maps the nine grahas and 27 nakshatras around a 360° circle, extrapolates one 120° segment as a human-lifespan circle, and imposes symbolic/mathematical constraints.
  • Main analysis applies constraints including the lunar anchor Moon = 10, relational equations such as Sun + Moon = Jupiter and Mars = Ketu, and geometric sums of 60 in squares and arcs to solve for the classical Vimshottari numbers.

Limitations

  • The paper states that the reconstruction “does not claim historical origin,” so it is not presented as the historical derivation of the system.
  • The text makes evident that the argument is observational and interpretive, with no empirical dataset, statistical test, or independent validation reported.
  • The full text provided is fragmentary and omits parts of the geometric derivation and figures, limiting what can be verified from the available text.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.22271/24564427.2026.v11.i9a.350

Cites

Statistics

Nothing to recompute.

Claims the paper makes

  • Findingnone given

    Between the two axes, the remaining strip of planets between Sun and Saturn is arranged in a clockwise manner: Mercury → Venus → Mars → Jupiter.

    “Between these two axes, the remaining strip of planets between Sun and Saturn is arranged in a clockwise manner: Mercury → Venus → Mars → Jupiter”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
  • Findingnone given

    No other integer assignment satisfies all constraints simultaneously.

    “No other integer assignment satisfies all constraints simultaneously.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
  • Findingreasoning

    The set of numbers in the squares matches the set of numbers in the arcs, only arranged differently.

    “The set of numbers in the squares matches the set of numbers in the arcs, only arranged differently.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
  • Findingreasoning

    When all constraints are applied simultaneously, the system becomes fully determined with only one positive integer solution for each planetary duration.

    “When all of the above constraints are applied simultaneously, the system becomes fully determined with only one positive integer solution for each of the planetary durations.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
    • Rests on an assumption: The 27 nakshatras cover the full 360° zodiac, each ruled by one of the nine Vimshottari grahas, and their rulership pattern repeats three times, dividing the circle into three arcs of 120°.
    • Rests on an assumption: In Jyotisha cosmology, 1° = 1 human year, 120° = 120 human years = full human lifespan, 360° = 360 human years = 1 Deva year.
  • Interpretationreasoning

    When the planetary lords of the 27 nakshatras are placed around a 360° circle and a set of mathematical, symbolic, and psychological constraints are applied, the classical Vimshottari durations emerge as the unique positive integer solution.

    “When the planetary lords of the 27 nakshatras are placed around a 360° circle, and when a set of mathematical, symbolic, and psychological constraints are applied, the classical Vimshottari durations emerge as the unique positive integer solution.”
    • Also stated in: § Conclusion · plain
      “Under above mentioned combined conditions, the classical Vimshottari durations arise as the unique solution.”
    • Also stated in: § Additional information · plain
      “When all of the above constraints are applied simultaneously, the system becomes fully determined with only one positive integer solution for each of the planetary durations.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
    • Rests on an assumption: The 27 nakshatras cover the full 360° zodiac, each ruled by one of the nine Vimshottari grahas, and their rulership pattern repeats three times, dividing the circle into three arcs of 120°.
    • Rests on an assumption: Classical astrological texts lack a definitive mathematical or structural derivation for the specific year allocations assigned to each planet.
    • Rests on an assumption: No classical text provides a definitive explanation for why the planets are arranged in this particular order, why each planet receives its specific number of years, or why the total cycle is 120 years.
    • Rests on an assumption: For centuries, practitioners have offered symbolic, mythic, and astronomical interpretations, yet no concrete derivation of the Vimshottari numbers has been established.
    • Rests on an assumption: In Jyotisha cosmology, 1° = 1 human year, 120° = 120 human years = full human lifespan, 360° = 360 human years = 1 Deva year.
    • Rests on an assumption: Vimshottari dasha is calculated from the Moon's position at birth; one's starting dasha is determined by the exact degree of the Moon's placement within a particular nakshatra at the time of birth.
    • Rests on an assumption: Sun is exalted in Aries and Venus is exalted in Pisces.
  • May combine two claims. 10
  • Classified as probably not a substantial claim. 9

  • May combine two claims.

    Findingreasoning

    The planetary sequence of the nakshatra lords is identical to the Vimshottari order, showing that the dasha system is geometrically embedded in the nakshatra/zodiac wheel.

    “The planetary sequence of the nakshatra lords is identical to the Vimshottari order, showing that the dasha system is geometrically embedded in the nakshatra/zodiac wheel.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The 27 nakshatras cover the full 360° zodiac, each ruled by one of the nine Vimshottari grahas, and their rulership pattern repeats three times, dividing the circle into three arcs of 120°.

  • May combine two claims.

    Findingnone given

    The circular diagram contains two squares and two arcs, each touching four planetary positions, each summing to 60.

    “The circular diagram contains two squares and two arcs, each touching four planetary positions, each summing to 60.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.

  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Interpretationreasoning

    The product of Sun and Venus equaling 120 symbolizes that identity finds completion through relational harmony.

    “Their product equals the full cycle, symbolizing: Identity finds completion through relational harmony.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
    • Rests on an assumption: Sun is exalted in Aries and Venus is exalted in Pisces.

  • Probably not a substantial claim: may not pass S4 (based). May combine two claims.

    Interpretationreasoning

    The journey through the Vimshottari dasha cycle can be likened to the Moon traversing a 120° arc mapped onto a full zodiac wheel-a circle representing 120 human years and encompassing all 12 zodiac signs.

    “Thus, the journey through the Vimshottari dasha cycle can be likened to the Moon traversing a 120° arc mapped onto a full zodiac wheel-a circle representing 120 human years and encompassing all 12 zodiac signs.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: In Jyotisha cosmology, 1° = 1 human year, 120° = 120 human years = full human lifespan, 360° = 360 human years = 1 Deva year.
    • Rests on an assumption: Vimshottari dasha is calculated from the Moon's position at birth; one's starting dasha is determined by the exact degree of the Moon's placement within a particular nakshatra at the time of birth.

  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Interpretationreasoning

    The arrangement of Mercury and Jupiter near Saturn reflects their psychological functions: Mercury is discriminative, analytical, micro-perspective; Jupiter is synthesizing, meaning-making, macro-perspective; both operate outside the realm of emotion, like Saturn.

    “The reasoning for this arrangement could reflect their respective psychological functions: Mercury and Jupiter near Saturn Mercury: discriminative, analytical, micro-perspective Jupiter: synthesizing, meaning-making, macro-perspective Both operate outside the realm of emotion, like Saturn.”
    Quote in the paperNot a substantial claim

  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationreasoning

    The structural harmony underlying the system is a mandala where geometry, symbolism, psychology, and karmic evolution converge into the elegant sequence known as Vimshottari.

    “It reveals the structural harmony underlying the system -a mandala where geometry, symbolism, psychology, and karmic evolution converge into the elegant sequence known as Vimshottari.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.

  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    The product of the luminaries (Sun and Moon) equals half of 120 (i.e., 60), symbolizing Self-concept = half of the whole psyche.

    “The product of the luminaries equals half of 120, symbolizing: Self-concept = half of the whole psyche.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.

  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    Father + mother → Guru; identity + emotion → wisdom; psychologically, the integrated self produces meaning.

    “Father + mother → Guru Identity + emotion → wisdom Psychologically: The integrated self produces meaning.”
    Quote in the paperNot a substantial claim

  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    External severing force = internal severing force; action-based pruning = detachment-based pruning; psychologically, Mars and Ketu are two expressions of the same boundary-cutting mechanism.

    “External severing force = internal severing force Action-based pruning = detachment-based pruning Psychologically: Mars and Ketu are two expressions of the same boundary-cutting mechanism.”
    Quote in the paperNot a substantial claim

  • May combine two claims.

    Interpretationreasoning

    The Moon's value must be 10, derived from 120 degrees / 12 zodiac signs = 10, preserving the lunar cycle.

    “Thus: 120 degrees / 12 zodiac signs = 10 The Moon's value must be 10, preserving the lunar cycle that underlies the entire dasha system.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: In Jyotisha cosmology, 1° = 1 human year, 120° = 120 human years = full human lifespan, 360° = 360 human years = 1 Deva year.
    • Rests on an assumption: Vimshottari dasha is calculated from the Moon's position at birth; one's starting dasha is determined by the exact degree of the Moon's placement within a particular nakshatra at the time of birth.

  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Interpretationreasoning

    Venus and Mars near Sun/Moon reflect their psychological functions: Venus is relational harmony, bonding; Mars is assertion, conflict, boundary enforcement; both operate through emotion, like Sun/Moon.

    “Venus and Mars near Sun/Moon Venus: relational harmony, bonding Mars: assertion, conflict, boundary enforcement Both operate through emotion, like Sun/Moon.”
    Quote in the paperNot a substantial claim

  • Probably not a substantial claim: may not pass S2 (checkable). May combine two claims.

    Interpretationreasoning

    This structural reconstruction highlights a profound, hidden coherence underlying the dasha system, demonstrating how geometry, psychology, symbology and karmic time allocations elegantly converge.

    “This structural reconstruction highlights a profound, hidden coherence underlying the dasha system, demonstrating how geometry, psychology, symbology and karmic time allocations elegantly converge.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.
12 of 12

  • The paper relies on this without support.

    The classical Vimshottari dasha system assigns a 120-year cycle across nine planetary rulers in the fixed sequence Ketu 7, Venus 20, Sun 6, Moon 10, Mars 7, Rahu 18, Jupiter 16, Saturn 19, Mercury 17.

    “It assigns 120 years to the nine grahas in a fixed sequence: Ketu (7 years) → Venus (20 years) → Sun (6 years) → Moon (10 years) → Mars (7 years) → Rahu (18 years) → Jupiter (16 years) → Saturn (19 years) → Mercury (17 years)”

  • The paper relies on this without support.

    The 27 nakshatras cover the full 360° zodiac, each ruled by one of the nine Vimshottari grahas, and their rulership pattern repeats three times, dividing the circle into three arcs of 120°.

    “The 27 nakshatras cover the full 360° zodiac, each ruled by one of the nine Vimshottari grahas.Their rulership pattern repeats three times, dividing the circle into three arcs of 120°.”

  • The paper relies on this without support.

    Classical astrological texts lack a definitive mathematical or structural derivation for the specific year allocations assigned to each planet.

    “While universally practiced, classical astrological texts lack a definitive mathematical or structural derivation for the specific year allocations assigned to each planet.”

  • The paper relies on this without support.

    No classical text provides a definitive explanation for why the planets are arranged in this particular order, why each planet receives its specific number of years, or why the total cycle is 120 years.

    “Although this sequence is universally accepted, no classical text provides a definitive explanation for why the planets are arranged in this particular order, why each planet receives its specific number of years, or why the total cycle is 120 years.”

  • The paper relies on this without support.

    For centuries, practitioners have offered symbolic, mythic, and astronomical interpretations, yet no concrete derivation of the Vimshottari numbers has been established.

    “For centuries, practitioners have offered symbolic, mythic, and astronomical interpretations, yet no concrete derivation of the Vimshottari numbers has been established.”

  • The paper relies on this without support.

    In Jyotisha cosmology, 1° = 1 human year, 120° = 120 human years = full human lifespan, 360° = 360 human years = 1 Deva year.

    “In Jyotisha cosmology: 1° = 1 human year 120° = 120 human years = full human lifespan 360° = 360 human years = 1 Deva year”

  • The paper relies on this without support.

    Vimshottari dasha is calculated from the Moon's position at birth; one's starting dasha is determined by the exact degree of the Moon's placement within a particular nakshatra at the time of birth.

    “Vimshottari dasha is calculated from the Moon's position at birth.One's starting dasha is determined by the exact degree of the Moon's placement within a particular nakshatra at the time of birth.”

  • The paper relies on this without support.

    Sun is exalted in Aries and Venus is exalted in Pisces.

    “Sun is exalted in the first sign (Aries).Venus is exalted in the last sign (Pisces).”
8 of 8

Cites

The publisher hasn’t deposited this paper’s reference list.

Research works printed but not linked: 1

  1. Jung CG. Mandala Symbolism. Princeton University Press; 1973.

Authors
Ravindran, R. T.
Corresponding author
Ravindran, Remya Tharackal
Venue
International Journal of Jyotish Research
Publisher
AkiNik Publications
Published
2026-09-01
Volume
11
Issue
9
Pages
14-17
ISSN
2456-4427 (ISSN-L)
DOI
10.22271/24564427.2026.v11.i9a.350
OpenAlex
W7214700750
Semantic Scholar
8d0cc2cb1e4d89e40af5f9f517394d1f49ce3394
Cited by
0
References
0
FWCI
0.00
Type
journal article
Open access
Locations
International Journal of Jyotish Research (publishedVersion)
Topics
  • Social Sciences › Arts and Humanities › Archeology › Historical, Religious, and Philosophical Studies
  • Social Sciences › Arts and Humanities › Philosophy › Religious Studies and Spiritual Practices
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Historical Astronomy and Related Studies
Keywords
Vedic astrology, nakshatras, sacred geometry, Jungian archetypes, mandala, mathematical logic, zodiac

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