{"id":"vidhyamitra:day:1812-08-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1812-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1812-08-13","date_display":"August 13, 1812 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":1812,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2383103.770833,"kali_year":4914,"ahargana":1794638.2708,"sun":{"sidereal_longitude":118.6681,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":186.8937,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.2255,"elapsed_within_tithi_degrees":8.2255},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.8937,"elapsed_within_degrees":0.227},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5618},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1812,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2383103.770833,"ahargana":1794638.2708,"kali_year":4914,"ayanamsa_lahiri":21.2354,"grahas":{"sun":{"sidereal_longitude":118.83236899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":183.815469,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":3.7058},"mars":{"sidereal_longitude":116.100169,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":148.396769,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":96.11976900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":104.63986899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":252.50466900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":131.428,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":311.428,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"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":1812,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2383103.770833,"kali_year":4914,"ahargana":1794638.2708,"sun":{"sidereal_longitude":118.6681,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":186.8937,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.2255,"elapsed_within_tithi_degrees":8.2255},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.8937,"elapsed_within_degrees":0.227},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5618},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.706,"elongation":68.226},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.706,"opposition_distance":111.774}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":-1.481,"elongation":0.429}]},"calendars":{"vikram_samvat":1869,"vikram_samvatsara":"Pārthiva","saka_samvat":1734,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1219,"malayalam_era":988,"nanakshahi_year":343,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ṣaṣṭhī · Vikram 1869 Pārthiva · Śaka 1734 Aṅgirasa"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"kalki-jayanti","name":"Kalki Jayantī","name_sanskrit":"कल्कि जयन्ती","tradition":"Vaishnava","associated_deity":"Kalki (10th daśāvatāra of Krishna)","deity_avatara_index":22,"significance":"Future Kalki avatāra — to manifest at end of Kali Yuga; observed Śrāvaṇa Śukla 6.","vrata":false,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Bhāgavata 12.2.18-20","Kalki Purāṇa"]}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1812-08-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 13, 1812 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 13, 1812 CE: Śukla Ṣaṣṭhī · Svātī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1812-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1812-08-13","sa":"https://sa.vidhyamitra.com/day/1812-08-13","hi":"https://hi.vidhyamitra.com/day/1812-08-13","x-default":"https://vidhyamitra.com/day/1812-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T10:38:44.502Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-22T10:38:44.502Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}