{"id":"vidhyamitra:city-day:varanasi:-3207-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3207-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-12-15","date_display":"December 15, 3208 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":-3207,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":550049.770833,"kali_year":-105,"ahargana":-38415.7292,"sun":{"sidereal_longitude":298.9393,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":343.3514,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.412,"elapsed_within_tithi_degrees":8.412},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":343.3514,"elapsed_within_degrees":10.018},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.2907},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3207,"month":12,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":550049.770833,"ahargana":-38415.7292,"kali_year":-105,"ayanamsa_lahiri":-48.8721,"grahas":{"sun":{"sidereal_longitude":298.9393,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":343.3514,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.2817},"mars":{"sidereal_longitude":3.8816,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":293.7893,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":41.8372,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":328.9499,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":169.5294,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":55.4502,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.4502,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":-3207,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":550049.770833,"kali_year":-105,"ahargana":-38415.7292,"sun":{"sidereal_longitude":298.9393,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":343.3514,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.412,"elapsed_within_tithi_degrees":8.412},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":343.3514,"elapsed_within_degrees":10.018},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.2907},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.282,"elongation":44.412},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.282,"opposition_distance":135.588}},"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":"06:34","sunsetLocal":"17:14","solarNoonLocal":"11:54","dayLengthHours":10.668764709150757,"dayLengthDisplay":"10 Hours 40 Mins 08 Secs","nightLengthDisplay":"13 Hours 19 Mins 52 Secs","moonriseLocal":"09:31","moonsetLocal":"20:12","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"11:54","startHours":10.565178827463287,"endHours":11.89877441610713,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:34","end":"15:54","startHours":14.565965593394822,"endHours":15.899561182038664,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:54","end":"09:14","startHours":7.8979876501755975,"endHours":9.231583238819443,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:25","startHours":9.05377049366693,"endHours":9.409395983971955,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:01","end":"07:18","startHours":7.008923924413034,"endHours":7.293424316657054,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:15","startHours":11.543148925802106,"endHours":12.254399906412155,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:09","end":"05:51","startHours":5.141890100311652,"endHours":5.853141080921702,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:41","end":"06:34","startHours":5.67532833576919,"endHours":6.564392061531753,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.676901867632257,"endHours":14.388152848242306,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.03315677068251,"endHours":17.43315677068251,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:41","startHours":17.23315677068251,"endHours":17.67768863356379,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.98315677068251,"endHours":18.73315677068251,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:15","startHours":23.543148925802104,"endHours":24.254399906412157,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:34","end":"07:54","startHours":6.564392061531753,"endHours":7.8979876501755975,"quality":"neutral"},{"name":"Labha","start":"07:54","end":"09:14","startHours":7.8979876501755975,"endHours":9.231583238819443,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:34","startHours":9.231583238819443,"endHours":10.565178827463287,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"11:54","startHours":10.565178827463287,"endHours":11.89877441610713,"quality":"inauspicious"},{"name":"Śubha","start":"11:54","end":"13:14","startHours":11.89877441610713,"endHours":13.232370004750976,"quality":"auspicious"},{"name":"Roga","start":"13:14","end":"14:34","startHours":13.232370004750976,"endHours":14.565965593394822,"quality":"inauspicious"},{"name":"Udveg","start":"14:34","end":"15:54","startHours":14.565965593394822,"endHours":15.899561182038664,"quality":"inauspicious"},{"name":"Chala","start":"15:54","end":"17:14","startHours":15.899561182038664,"endHours":17.23315677068251,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:14","end":"18:54","startHours":17.23315677068251,"endHours":18.899561182038664,"quality":"inauspicious"},{"name":"Udveg","start":"18:54","end":"20:34","startHours":18.899561182038664,"endHours":20.56596559339482,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"22:14","startHours":20.56596559339482,"endHours":22.232370004750976,"quality":"neutral"},{"name":"Labha","start":"22:14","end":"23:54","startHours":22.232370004750976,"endHours":23.89877441610713,"quality":"auspicious"},{"name":"Amṛta","start":"23:54","end":"01:34","startHours":23.89877441610713,"endHours":25.565178827463285,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"03:14","startHours":25.565178827463285,"endHours":27.23158323881944,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:54","startHours":27.23158323881944,"endHours":28.897987650175597,"quality":"auspicious"},{"name":"Roga","start":"04:54","end":"06:34","startHours":28.897987650175597,"endHours":30.564392061531752,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:34","end":"07:34","startHours":6.564392061531753,"endHours":7.564392061531753,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:34","end":"08:34","startHours":7.564392061531753,"endHours":8.564392061531752,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:34","end":"09:34","startHours":8.564392061531752,"endHours":9.564392061531752,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:34","end":"10:34","startHours":9.564392061531752,"endHours":10.564392061531752,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:34","end":"11:34","startHours":10.564392061531752,"endHours":11.564392061531752,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:34","end":"12:34","startHours":11.564392061531752,"endHours":12.564392061531752,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:34","end":"13:34","startHours":12.564392061531752,"endHours":13.564392061531752,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:34","end":"14:34","startHours":13.564392061531752,"endHours":14.564392061531752,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:34","end":"15:34","startHours":14.564392061531752,"endHours":15.564392061531752,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:34","end":"16:34","startHours":15.564392061531752,"endHours":16.564392061531752,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:34","end":"17:34","startHours":16.564392061531752,"endHours":17.564392061531752,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:34","end":"18:34","startHours":17.564392061531752,"endHours":18.564392061531752,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:34","end":"19:34","startHours":18.564392061531752,"endHours":19.564392061531752,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:34","end":"20:34","startHours":19.564392061531752,"endHours":20.564392061531752,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:34","end":"21:34","startHours":20.564392061531752,"endHours":21.564392061531752,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:34","end":"22:34","startHours":21.564392061531752,"endHours":22.564392061531752,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:34","end":"23:34","startHours":22.564392061531752,"endHours":23.564392061531752,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:34","end":"00:34","startHours":23.564392061531752,"endHours":24.564392061531752,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:34","end":"01:34","startHours":24.564392061531752,"endHours":25.564392061531752,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:34","end":"02:34","startHours":25.564392061531752,"endHours":26.564392061531752,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:34","end":"03:34","startHours":26.564392061531752,"endHours":27.564392061531752,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:34","end":"04:34","startHours":27.564392061531752,"endHours":28.564392061531752,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:34","end":"05:34","startHours":28.564392061531752,"endHours":29.564392061531752,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:34","end":"06:34","startHours":29.564392061531752,"endHours":30.564392061531752,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.95668522664972,"eotMinutes":4.177935033572184,"ayanamsa":-48.8721}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram -3150 undefined · Śaka -3285 undefined"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Śukravāra (Friday) — 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 December 15, 3208 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 15, 3208 BCE for Vārāṇasī (Kāśī): Śukla Caturthī, sūryodaya 06:34, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3207-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3207-12-15","sa":"https://sa.vidhyamitra.com/city/varanasi/-3207-12-15","hi":"https://hi.vidhyamitra.com/city/varanasi/-3207-12-15","x-default":"https://vidhyamitra.com/city/varanasi/-3207-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T13:19:33.417Z","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":"2026-09-06T13:19:33.417Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T13:19:33.417Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}