{"id":"vidhyamitra:city-day:varanasi:-3146-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3146-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3146-10-18","date_display":"October 18, 3147 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3146,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572271.770833,"kali_year":-44,"ahargana":-16193.7292,"sun":{"sidereal_longitude":238.6723,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":105.9359,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.2636,"elapsed_within_tithi_degrees":11.2636},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.9359,"elapsed_within_degrees":12.6026},"yoga":{"number":26,"name":"Indra","sum_longitude":344.6082},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3146,"month":10,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572271.770833,"ahargana":-16193.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0222,"grahas":{"sun":{"sidereal_longitude":238.6723,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":105.9359,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":2.3886},"mars":{"sidereal_longitude":180.0898,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":257.6615,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":107.1861,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":277.4534,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":191.1254,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":318.0217,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":138.0217,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3146,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572271.770833,"kali_year":-44,"ahargana":-16193.7292,"sun":{"sidereal_longitude":238.6723,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":105.9359,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.2636,"elapsed_within_tithi_degrees":11.2636},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.9359,"elapsed_within_degrees":12.6026},"yoga":{"number":26,"name":"Indra","sum_longitude":344.6082},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.389,"elongation":132.736},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.389,"opposition_distance":47.264}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:47","sunsetLocal":"17:38","solarNoonLocal":"11:43","dayLengthHours":11.856818782436644,"dayLengthDisplay":"11 Hours 51 Mins 25 Secs","nightLengthDisplay":"12 Hours 08 Mins 35 Secs","moonriseLocal":"20:10","moonsetLocal":"09:34","rahuKala":{"name":"Rāhu Kāla","start":"14:41","end":"16:09","startHours":14.676017058888853,"endHours":16.158119406693434,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:45","end":"10:14","startHours":8.74760766767053,"endHours":10.22971001547511,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:43","end":"13:12","startHours":11.71181236327969,"endHours":13.193914711084272,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"08:57","startHours":8.549994021296587,"endHours":8.945221314044474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:36","startHours":6.27743708799623,"endHours":6.5936189221945405,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:06","startHours":11.316585070531804,"endHours":12.107039656027581,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:00","startHours":4.202493801069817,"endHours":4.992948386565594,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:47","startHours":4.79533474019165,"endHours":5.78340297206137,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:29","startHours":13.687948827019133,"endHours":14.47840341251491,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.440221754498015,"endHours":17.840221754498014,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:08","startHours":17.640221754498015,"endHours":18.134255870432874,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.390221754498015,"endHours":19.140221754498015,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:06","startHours":23.316585070531804,"endHours":24.107039656027577,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:47","end":"07:16","startHours":5.78340297206137,"endHours":7.26550531986595,"quality":"inauspicious"},{"name":"Udveg","start":"07:16","end":"08:45","startHours":7.26550531986595,"endHours":8.74760766767053,"quality":"inauspicious"},{"name":"Chala","start":"08:45","end":"10:14","startHours":8.74760766767053,"endHours":10.22971001547511,"quality":"neutral"},{"name":"Labha","start":"10:14","end":"11:43","startHours":10.22971001547511,"endHours":11.71181236327969,"quality":"auspicious"},{"name":"Amṛta","start":"11:43","end":"13:12","startHours":11.71181236327969,"endHours":13.193914711084272,"quality":"auspicious"},{"name":"Kāla","start":"13:12","end":"14:41","startHours":13.193914711084272,"endHours":14.676017058888853,"quality":"inauspicious"},{"name":"Śubha","start":"14:41","end":"16:09","startHours":14.676017058888853,"endHours":16.158119406693434,"quality":"auspicious"},{"name":"Roga","start":"16:09","end":"17:38","startHours":16.158119406693434,"endHours":17.640221754498015,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:38","end":"19:09","startHours":17.640221754498015,"endHours":19.158119406693434,"quality":"inauspicious"},{"name":"Śubha","start":"19:09","end":"20:41","startHours":19.158119406693434,"endHours":20.676017058888853,"quality":"auspicious"},{"name":"Roga","start":"20:41","end":"22:12","startHours":20.676017058888853,"endHours":22.193914711084275,"quality":"inauspicious"},{"name":"Udveg","start":"22:12","end":"23:43","startHours":22.193914711084275,"endHours":23.71181236327969,"quality":"inauspicious"},{"name":"Chala","start":"23:43","end":"01:14","startHours":23.71181236327969,"endHours":25.229710015475113,"quality":"neutral"},{"name":"Labha","start":"01:14","end":"02:45","startHours":25.229710015475113,"endHours":26.747607667670533,"quality":"auspicious"},{"name":"Amṛta","start":"02:45","end":"04:16","startHours":26.747607667670533,"endHours":28.26550531986595,"quality":"auspicious"},{"name":"Kāla","start":"04:16","end":"05:47","startHours":28.26550531986595,"endHours":29.78340297206137,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.78340297206137,"endHours":6.78340297206137,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.78340297206137,"endHours":7.78340297206137,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.78340297206137,"endHours":8.78340297206137,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.78340297206137,"endHours":9.78340297206137,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.78340297206137,"endHours":10.78340297206137,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.78340297206137,"endHours":11.78340297206137,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.78340297206137,"endHours":12.78340297206137,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.78340297206137,"endHours":13.78340297206137,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.78340297206137,"endHours":14.78340297206137,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.78340297206137,"endHours":15.78340297206137,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.78340297206137,"endHours":16.78340297206137,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.78340297206137,"endHours":17.78340297206137,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.78340297206137,"endHours":18.78340297206137,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.78340297206137,"endHours":19.78340297206137,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.78340297206137,"endHours":20.78340297206137,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.78340297206137,"endHours":21.78340297206137,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.78340297206137,"endHours":22.78340297206137,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.78340297206137,"endHours":23.78340297206137,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.78340297206137,"endHours":24.78340297206137,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.78340297206137,"endHours":25.78340297206137,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.78340297206137,"endHours":26.78340297206137,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.78340297206137,"endHours":27.78340297206137,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.78340297206137,"endHours":28.78340297206137,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.78340297206137,"endHours":29.78340297206137,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.215341887645047,"eotMinutes":15.395658203218455,"ayanamsa":-48.0222}},"calendars":{"vikram_samvat":-3089,"saka_samvat":-3224,"bengali_samvat":-3739,"malayalam_era":-3970,"nanakshahi_year":-4615,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram -3089 undefined · Śaka -3224 undefined"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 18, 3147 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 18, 3147 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturthī, sūryodaya 05:47, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3146-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3146-10-18","sa":"https://sa.vidhyamitra.com/city/varanasi/-3146-10-18","hi":"https://hi.vidhyamitra.com/city/varanasi/-3146-10-18","x-default":"https://vidhyamitra.com/city/varanasi/-3146-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:25:06.714Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-10T13:25:06.714Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:25:06.714Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}