{"id":"vidhyamitra:day:2069-03-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2069-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2069-03-13","date_display":"March 13, 2069 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2069,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476818.770833,"kali_year":5170,"ahargana":1888353.2708,"sun":{"sidereal_longitude":328.2406,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":207.432,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.1914,"elapsed_within_tithi_degrees":11.1914},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.432,"elapsed_within_degrees":7.432},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":175.6726},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2069,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476818.770833,"ahargana":1888353.2708,"kali_year":5170,"ayanamsa_lahiri":24.8196,"grahas":{"sun":{"sidereal_longitude":328.225466,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":203.63356599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":0.1158},"mars":{"sidereal_longitude":276.9211660000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":322.900666,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":309.69036600000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":327.66126600000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":158.85566600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.9563,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.9563,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2069,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476818.770833,"kali_year":5170,"ahargana":1888353.2708,"sun":{"sidereal_longitude":328.2406,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":207.432,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.1914,"elapsed_within_tithi_degrees":11.1914},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.432,"elapsed_within_degrees":7.432},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":175.6726},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.116,"elongation":120.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.116,"opposition_distance":59.191}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2126,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1991,"saka_samvatsara":"Virodhi","bengali_samvat":1476,"malayalam_era":1245,"nanakshahi_year":600,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Pañcamī · Vikram 2126 Śubhakṛt · Śaka 1991 Virodhi"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2069-03-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga March 13, 2069 CE · Vidhyamitra","description":"Vedic pañchāṅga for March 13, 2069 CE: Kṛṣṇa Pañcamī · Viśākhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2069-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2069-03-13","sa":"https://sa.vidhyamitra.com/day/2069-03-13","hi":"https://hi.vidhyamitra.com/day/2069-03-13","x-default":"https://vidhyamitra.com/day/2069-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:01:52.379Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:01:52.379Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}