{"id":"vidhyamitra:city-day:varanasi:2031-12-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2031-12-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-12-12","date_display":"December 12, 2031 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":"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":2031,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463212.770833,"kali_year":5133,"ahargana":1874747.2708,"sun":{"sidereal_longitude":234.999,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":203.9763,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.9773,"elapsed_within_tithi_degrees":4.9773},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":203.9763,"elapsed_within_degrees":3.9763},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":78.9752},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2031,"month":12,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463212.770833,"ahargana":1874747.2708,"kali_year":5133,"ayanamsa_lahiri":24.2992,"grahas":{"sun":{"sidereal_longitude":235.49191599999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":204.14421600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-0.2268},"mars":{"sidereal_longitude":291.70741599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":215.409716,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":251.40151600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":194.33471600000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":55.008216000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.8677,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.8677,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2031,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463212.770833,"kali_year":5133,"ahargana":1874747.2708,"sun":{"sidereal_longitude":234.999,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":203.9763,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.9773,"elapsed_within_tithi_degrees":4.9773},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":203.9763,"elapsed_within_degrees":3.9763},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":78.9752},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.227,"elongation":31.023},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.227,"opposition_distance":148.977}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":-1.298,"opposition_distance":2.63}]},"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":"06:35","sunsetLocal":"17:10","solarNoonLocal":"11:53","dayLengthHours":10.5881697137117,"dayLengthDisplay":"10 Hours 35 Mins 17 Secs","nightLengthDisplay":"13 Hours 24 Mins 43 Secs","moonriseLocal":"04:18","moonsetLocal":"15:16","rahuKala":{"name":"Rāhu Kāla","start":"10:33","end":"11:53","startHours":10.552527301434152,"endHours":11.876048515648115,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:31","end":"15:51","startHours":14.523090944076039,"endHours":15.846612158290004,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:54","end":"09:14","startHours":7.905484873006227,"endHours":9.229006087220188,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:24","startHours":9.052536591991661,"endHours":9.405475582448718,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:01","end":"07:18","startHours":7.023137396863585,"endHours":7.30548858922923,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:14","startHours":11.523109525191058,"endHours":12.228987506105172,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:10","end":"05:53","startHours":5.170207696964038,"endHours":5.876085677878151,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:42","end":"06:35","startHours":5.699616182649622,"endHours":6.581963658792264,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:38","end":"14:21","startHours":13.640743467933397,"endHours":14.346621448847511,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.970133372503966,"endHours":17.370133372503965,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.170133372503965,"endHours":17.611307110575286,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.920133372503965,"endHours":18.670133372503965,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:14","startHours":23.52310952519106,"endHours":24.22898750610517,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:35","end":"07:54","startHours":6.581963658792264,"endHours":7.905484873006227,"quality":"neutral"},{"name":"Labha","start":"07:54","end":"09:14","startHours":7.905484873006227,"endHours":9.229006087220188,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:33","startHours":9.229006087220188,"endHours":10.552527301434152,"quality":"auspicious"},{"name":"Kāla","start":"10:33","end":"11:53","startHours":10.552527301434152,"endHours":11.876048515648115,"quality":"inauspicious"},{"name":"Śubha","start":"11:53","end":"13:12","startHours":11.876048515648115,"endHours":13.199569729862077,"quality":"auspicious"},{"name":"Roga","start":"13:12","end":"14:31","startHours":13.199569729862077,"endHours":14.523090944076039,"quality":"inauspicious"},{"name":"Udveg","start":"14:31","end":"15:51","startHours":14.523090944076039,"endHours":15.846612158290004,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:10","startHours":15.846612158290004,"endHours":17.170133372503965,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:10","end":"18:51","startHours":17.170133372503965,"endHours":18.846612158290004,"quality":"inauspicious"},{"name":"Udveg","start":"18:51","end":"20:31","startHours":18.846612158290004,"endHours":20.52309094407604,"quality":"inauspicious"},{"name":"Chala","start":"20:31","end":"22:12","startHours":20.52309094407604,"endHours":22.199569729862077,"quality":"neutral"},{"name":"Labha","start":"22:12","end":"23:53","startHours":22.199569729862077,"endHours":23.876048515648115,"quality":"auspicious"},{"name":"Amṛta","start":"23:53","end":"01:33","startHours":23.876048515648115,"endHours":25.552527301434154,"quality":"auspicious"},{"name":"Kāla","start":"01:33","end":"03:14","startHours":25.552527301434154,"endHours":27.229006087220192,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:54","startHours":27.229006087220192,"endHours":28.905484873006227,"quality":"auspicious"},{"name":"Roga","start":"04:54","end":"06:35","startHours":28.905484873006227,"endHours":30.581963658792265,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:35","end":"07:35","startHours":6.581963658792264,"endHours":7.581963658792264,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:35","end":"08:35","startHours":7.581963658792264,"endHours":8.581963658792265,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:35","end":"09:35","startHours":8.581963658792265,"endHours":9.581963658792265,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:35","end":"10:35","startHours":9.581963658792265,"endHours":10.581963658792265,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:35","end":"11:35","startHours":10.581963658792265,"endHours":11.581963658792265,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:35","end":"12:35","startHours":11.581963658792265,"endHours":12.581963658792265,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:35","end":"13:35","startHours":12.581963658792265,"endHours":13.581963658792265,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:35","end":"14:35","startHours":13.581963658792265,"endHours":14.581963658792265,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:35","end":"15:35","startHours":14.581963658792265,"endHours":15.581963658792265,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:35","end":"16:35","startHours":15.581963658792265,"endHours":16.581963658792265,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:35","end":"17:35","startHours":16.581963658792265,"endHours":17.581963658792265,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:35","end":"18:35","startHours":17.581963658792265,"endHours":18.581963658792265,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:35","end":"19:35","startHours":18.581963658792265,"endHours":19.581963658792265,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:35","end":"20:35","startHours":19.581963658792265,"endHours":20.581963658792265,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:35","end":"21:35","startHours":20.581963658792265,"endHours":21.581963658792265,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:35","end":"22:35","startHours":21.581963658792265,"endHours":22.581963658792265,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:35","end":"23:35","startHours":22.581963658792265,"endHours":23.581963658792265,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:35","end":"00:35","startHours":23.581963658792265,"endHours":24.581963658792265,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:35","end":"01:35","startHours":24.581963658792265,"endHours":25.581963658792265,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:35","end":"02:35","startHours":25.581963658792265,"endHours":26.581963658792265,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:35","end":"03:35","startHours":26.581963658792265,"endHours":27.581963658792265,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:35","end":"04:35","startHours":27.581963658792265,"endHours":28.581963658792265,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:35","end":"05:35","startHours":28.581963658792265,"endHours":29.581963658792265,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:35","end":"06:35","startHours":29.581963658792265,"endHours":30.581963658792265,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.043857143882274,"eotMinutes":5.541489061113115,"ayanamsa":24.2992}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Trayodaśī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 Pradoṣa Vrata is not live yet; Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 12, 2031 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 12, 2031 CE for Vārāṇasī (Kāśī): Kṛṣṇa Trayodaśī, sūryodaya 06:35, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2031-12-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2031-12-12","sa":"https://sa.vidhyamitra.com/city/varanasi/2031-12-12","hi":"https://hi.vidhyamitra.com/city/varanasi/2031-12-12","x-default":"https://vidhyamitra.com/city/varanasi/2031-12-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-23T21:54:52.835Z","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":"2026-08-23T21:54:52.835Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-23T21:54:52.835Z","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"}}}