{"id":"vidhyamitra:city-day:kanchipuram:-3111-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kanchipuram/-3111-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-12-18","date_display":"December 18, 3112 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":-3111,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585116.770833,"kali_year":-9,"ahargana":-3348.7292,"sun":{"sidereal_longitude":301.134,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":151.5426,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":210.4086,"elapsed_within_tithi_degrees":6.4086},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.5426,"elapsed_within_degrees":4.8759},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.6766},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":-3111,"month":12,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585116.770833,"ahargana":-3348.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5309,"grahas":{"sun":{"sidereal_longitude":301.134,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":151.5426,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":1.9632},"mars":{"sidereal_longitude":17.6842,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":305.4867,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":79.688,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":338.4217,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":250.9917,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":357.4318,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.4318,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585116.770833,"kali_year":-9,"ahargana":-3348.7292,"sun":{"sidereal_longitude":301.134,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":151.5426,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":210.4086,"elapsed_within_tithi_degrees":6.4086},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.5426,"elapsed_within_degrees":4.8759},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.6766},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.963,"elongation":149.591},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.963,"opposition_distance":30.409}},"eclipse_window_40days":[]},"city":{"slug":"kanchipuram","name":"Kāñcīpuram","lat":12.8342,"lon":79.7036,"tz_offset_hours":5.5,"state":"Tamil Nadu","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"kanchipuram","name":"Kāñcīpuram","lat":12.8342,"lon":79.7036,"tz_offset_hours":5.5,"state":"Tamil Nadu","country":"IN","tier":"tirtha"},"sunriseLocal":"06:26","sunsetLocal":"17:51","solarNoonLocal":"12:08","dayLengthHours":11.404202124550984,"dayLengthDisplay":"11 Hours 24 Mins 15 Secs","nightLengthDisplay":"12 Hours 35 Mins 45 Secs","moonriseLocal":"19:46","moonsetLocal":"08:35","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:25","startHours":14.991015075335392,"endHours":16.416540340904266,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:17","end":"10:43","startHours":9.2889140130599,"endHours":10.714439278628774,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:08","end":"13:34","startHours":12.139964544197646,"endHours":13.565489809766518,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:29","startHours":9.098843977650716,"endHours":9.478984048469083,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:13","startHours":6.913038570445112,"endHours":7.217150627099805,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:31","startHours":11.75982447337928,"endHours":12.520104615016011,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:41","startHours":4.917303198648689,"endHours":5.677583340285421,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:26","startHours":5.487513304876239,"endHours":6.437863481922154,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:48","startHours":14.040664898289478,"endHours":14.80094503992621,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.64206560647314,"endHours":18.042065606473138,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:19","startHours":17.842065606473138,"endHours":18.317240694996094,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.592065606473138,"endHours":19.342065606473138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:31","startHours":23.75982447337928,"endHours":24.520104615016013,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:26","end":"07:52","startHours":6.437863481922154,"endHours":7.863388747491027,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:17","startHours":7.863388747491027,"endHours":9.2889140130599,"quality":"inauspicious"},{"name":"Chala","start":"09:17","end":"10:43","startHours":9.2889140130599,"endHours":10.714439278628774,"quality":"neutral"},{"name":"Labha","start":"10:43","end":"12:08","startHours":10.714439278628774,"endHours":12.139964544197646,"quality":"auspicious"},{"name":"Amṛta","start":"12:08","end":"13:34","startHours":12.139964544197646,"endHours":13.565489809766518,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"14:59","startHours":13.565489809766518,"endHours":14.991015075335392,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:25","startHours":14.991015075335392,"endHours":16.416540340904266,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:51","startHours":16.416540340904266,"endHours":17.842065606473138,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:51","end":"19:25","startHours":17.842065606473138,"endHours":19.416540340904266,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"20:59","startHours":19.416540340904266,"endHours":20.99101507533539,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:34","startHours":20.99101507533539,"endHours":22.565489809766518,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"00:08","startHours":22.565489809766518,"endHours":24.139964544197646,"quality":"inauspicious"},{"name":"Chala","start":"00:08","end":"01:43","startHours":24.139964544197646,"endHours":25.714439278628774,"quality":"neutral"},{"name":"Labha","start":"01:43","end":"03:17","startHours":25.714439278628774,"endHours":27.2889140130599,"quality":"auspicious"},{"name":"Amṛta","start":"03:17","end":"04:52","startHours":27.2889140130599,"endHours":28.863388747491026,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:26","startHours":28.863388747491026,"endHours":30.437863481922154,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.437863481922154,"endHours":7.437863481922154,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.437863481922154,"endHours":8.437863481922154,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.437863481922154,"endHours":9.437863481922154,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.437863481922154,"endHours":10.437863481922154,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.437863481922154,"endHours":11.437863481922154,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.437863481922154,"endHours":12.437863481922154,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.437863481922154,"endHours":13.437863481922154,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.437863481922154,"endHours":14.437863481922154,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.437863481922154,"endHours":15.437863481922154,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.437863481922154,"endHours":16.437863481922154,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.437863481922154,"endHours":17.437863481922154,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.437863481922154,"endHours":18.437863481922154,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.437863481922154,"endHours":19.437863481922154,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.437863481922154,"endHours":20.437863481922154,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.437863481922154,"endHours":21.437863481922154,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.437863481922154,"endHours":22.437863481922154,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.437863481922154,"endHours":23.437863481922154,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.437863481922154,"endHours":24.437863481922154,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.437863481922154,"endHours":25.437863481922154,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.437863481922154,"endHours":26.437863481922154,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.437863481922154,"endHours":27.437863481922154,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.437863481922154,"endHours":28.437863481922154,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.437863481922154,"endHours":29.437863481922154,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.437863481922154,"endHours":30.437863481922154,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.430121994439887,"eotMinutes":2.787727348141232,"ayanamsa":-47.5309}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Tṛtīyā · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[],"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":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"kanchipuram"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 18, 3112 BCE · Kāñcīpuram · Vidhyamitra","description":"December 18, 3112 BCE for Kāñcīpuram: Kṛṣṇa Tṛtīyā, sūryodaya 06:26, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kanchipuram/-3111-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kanchipuram/-3111-12-18","sa":"https://sa.vidhyamitra.com/city/kanchipuram/-3111-12-18","hi":"https://hi.vidhyamitra.com/city/kanchipuram/-3111-12-18","x-default":"https://vidhyamitra.com/city/kanchipuram/-3111-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:12:38.375Z","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":"2026-08-12T00:12:38.375Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:12:38.375Z","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"}}}