calculations vimshottari derived

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          "system": "vimshottari-120-year",
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            {
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              "level": "mahadasha",
              "endUtc": "2000-09-20T07:40:11.621Z",
              "startUtc": "1982-09-20T22:54:35.621Z",
              "nominalYears": 18,
              "activeAtReference": false
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              "lord": "Saturn",
              "level": "antardasha",
              "endUtc": "2019-09-23T23:17:54.221Z",
              "startUtc": "2016-09-20T04:47:23.621Z",
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          "startingLord": "Rahu",
          "balanceMethod": "actual-nakshatra-stay-time",
          "moonNakshatra": {
            "name": "Svātī",
            "index": 15,
            "fractionElapsed": 0.9600235796221036
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            "atUtc": "2026-09-11T11:50:39.821Z",
            "level": "antardasha"
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          "yearLengthDays": 365.2425,
          "activeMahadasha": {
            "lord": "Saturn",
            "level": "mahadasha",
            "endUtc": "2035-09-20T19:22:11.621Z",
            "startUtc": "2016-09-20T04:47:23.621Z",
            "nominalYears": 19,
            "activeAtReference": true
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          "activeAntardasha": {
            "lord": "Venus",
            "level": "antardasha",
            "endUtc": "2026-09-11T11:50:39.821Z",
            "startUtc": "2023-07-12T21:24:51.821Z",
            "parentLord": "Saturn",
            "nominalYears": 3.1666666666666665,
            "activeAtReference": true
          },
          "sourceReferences": [
            {
              "url": "https://vedic-astro.s3.amazonaws.com/books/bhrihat_parasara_hora…",
              "note": "Used to verify the period order, durations, birth balance, and p…",
              "title": "Bṛhat Parāśara Horā Śāstra",
              "usage": "calculation-convention",
              "locator": "Chapter 46, verses 14–16; Chapter 51, verses 1–2"
            }
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          "balanceAtBirthYears": 0.7195755668021349,
          "birthNakshatraEgressUtc": "2000-01-01T13:03:23.619Z",
          "birthNakshatraIngressUtc": "1999-12-31T10:37:37.056Z"
        },
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      },
      "offerId": "celestial-vimshottari-timing",
      "version": "maha-celestial-calculations/0.1",
      "boundaries": [
        "Calculation and convention evidence only; no forecasting narrati…"
      ],
      "conventions": {
        "nodes": "mean",
        "frames": [
          "tropical",
          "lahiri-sidereal"
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        "houses": "sidereal-whole-sign",
        "origin": "geocentric",
        "ayanamsa": "maha-lahiri-j2000-iau2006/1",
        "ephemeris": "astronomy-engine-2.1.19",
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        "birthBalance": "actual-nakshatra-stay-time",
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        "yearLengthDays": 365.2425,
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