{"id":"vidhyamitra:city-day:patna:2002-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2002-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-19","date_display":"December 19, 2002 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":2002,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452627.770833,"kali_year":5104,"ahargana":1864162.2708,"sun":{"sidereal_longitude":242.6972,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":53.3107,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.6135,"elapsed_within_tithi_degrees":2.6135},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":53.3107,"elapsed_within_degrees":13.3107},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.0079},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2002,"month":12,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452627.770833,"ahargana":1864162.2708,"kali_year":5104,"ayanamsa_lahiri":23.8944,"grahas":{"sun":{"sidereal_longitude":243.056741,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":54.31544100000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":0.4386},"mars":{"sidereal_longitude":197.31194100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":261.285041,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":113.76354100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":198.51784099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":61.485240999999974,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":47.7119,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.7119,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452627.770833,"kali_year":5104,"ahargana":1864162.2708,"sun":{"sidereal_longitude":242.6972,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":53.3107,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.6135,"elapsed_within_tithi_degrees":2.6135},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":53.3107,"elapsed_within_degrees":13.3107},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.0079},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.439,"elongation":170.613},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.439,"opposition_distance":9.387}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":0.273,"elongation":2.306},{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"sunriseLocal":"06:31","sunsetLocal":"17:03","solarNoonLocal":"11:47","dayLengthHours":10.541747996336476,"dayLengthDisplay":"10 Hours 32 Mins 30 Secs","nightLengthDisplay":"13 Hours 27 Mins 30 Secs","moonriseLocal":"16:23","moonsetLocal":"06:02","rahuKala":{"name":"Rāhu Kāla","start":"13:06","end":"14:25","startHours":13.103204660139914,"endHours":14.420923159681973,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:31","end":"07:50","startHours":6.514612162429617,"endHours":7.832330661971676,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:09","end":"10:28","startHours":9.150049161513735,"endHours":10.467767661055795,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:20","startHours":8.974353361574796,"endHours":9.325744961452678,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:14","startHours":6.95385166227697,"endHours":7.2349649421792765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:08","startHours":11.434094560719974,"endHours":12.136877760475738,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:07","end":"05:49","startHours":5.109045762918087,"endHours":5.811828962673852,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.636133162734911,"endHours":6.514612162429617,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:33","end":"14:15","startHours":13.542444159987268,"endHours":14.245227359743033,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.856360158766094,"endHours":17.256360158766093,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:30","startHours":17.056360158766093,"endHours":17.495599658613447,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.806360158766093,"endHours":18.556360158766093,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:08","startHours":23.434094560719974,"endHours":24.136877760475738,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:31","end":"07:50","startHours":6.514612162429617,"endHours":7.832330661971676,"quality":"auspicious"},{"name":"Roga","start":"07:50","end":"09:09","startHours":7.832330661971676,"endHours":9.150049161513735,"quality":"inauspicious"},{"name":"Udveg","start":"09:09","end":"10:28","startHours":9.150049161513735,"endHours":10.467767661055795,"quality":"inauspicious"},{"name":"Chala","start":"10:28","end":"11:47","startHours":10.467767661055795,"endHours":11.785486160597856,"quality":"neutral"},{"name":"Labha","start":"11:47","end":"13:06","startHours":11.785486160597856,"endHours":13.103204660139914,"quality":"auspicious"},{"name":"Amṛta","start":"13:06","end":"14:25","startHours":13.103204660139914,"endHours":14.420923159681973,"quality":"auspicious"},{"name":"Kāla","start":"14:25","end":"15:44","startHours":14.420923159681973,"endHours":15.738641659224033,"quality":"inauspicious"},{"name":"Śubha","start":"15:44","end":"17:03","startHours":15.738641659224033,"endHours":17.056360158766093,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:03","end":"18:44","startHours":17.056360158766093,"endHours":18.738641659224033,"quality":"auspicious"},{"name":"Kāla","start":"18:44","end":"20:25","startHours":18.738641659224033,"endHours":20.420923159681976,"quality":"inauspicious"},{"name":"Śubha","start":"20:25","end":"22:06","startHours":20.420923159681976,"endHours":22.103204660139916,"quality":"auspicious"},{"name":"Roga","start":"22:06","end":"23:47","startHours":22.103204660139916,"endHours":23.785486160597856,"quality":"inauspicious"},{"name":"Udveg","start":"23:47","end":"01:28","startHours":23.785486160597856,"endHours":25.467767661055795,"quality":"inauspicious"},{"name":"Chala","start":"01:28","end":"03:09","startHours":25.467767661055795,"endHours":27.150049161513735,"quality":"neutral"},{"name":"Labha","start":"03:09","end":"04:50","startHours":27.150049161513735,"endHours":28.832330661971678,"quality":"auspicious"},{"name":"Amṛta","start":"04:50","end":"06:31","startHours":28.832330661971678,"endHours":30.514612162429618,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.514612162429617,"endHours":7.514612162429617,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.514612162429617,"endHours":8.514612162429618,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.514612162429618,"endHours":9.514612162429618,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.514612162429618,"endHours":10.514612162429618,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.514612162429618,"endHours":11.514612162429618,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.514612162429618,"endHours":12.514612162429618,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.514612162429618,"endHours":13.514612162429618,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.514612162429618,"endHours":14.514612162429618,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.514612162429618,"endHours":15.514612162429618,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.514612162429618,"endHours":16.514612162429618,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.514612162429618,"endHours":17.514612162429618,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.514612162429618,"endHours":18.514612162429618,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.514612162429618,"endHours":19.514612162429618,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.514612162429618,"endHours":20.514612162429618,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.514612162429618,"endHours":21.514612162429618,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.514612162429618,"endHours":22.514612162429618,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.514612162429618,"endHours":23.514612162429618,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.514612162429618,"endHours":24.514612162429618,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.514612162429618,"endHours":25.514612162429618,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.514612162429618,"endHours":26.514612162429618,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.514612162429618,"endHours":27.514612162429618,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.514612162429618,"endHours":28.514612162429618,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.514612162429618,"endHours":29.514612162429618,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.514612162429618,"endHours":30.514612162429618,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.40134831604626,"eotMinutes":2.3204303641286352,"ayanamsa":23.8944}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla 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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pūrṇimā · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"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":"Dedicated festival walk for Datta Jayantī · Annapūrṇā Jayantī is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"patna"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 19, 2002 CE · Patna, Bihar · Vidhyamitra","description":"December 19, 2002 CE for Patna, Bihar: Śukla Pūrṇimā, sūryodaya 06:31, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2002-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2002-12-19","sa":"https://sa.vidhyamitra.com/city/patna/2002-12-19","hi":"https://hi.vidhyamitra.com/city/patna/2002-12-19","x-default":"https://vidhyamitra.com/city/patna/2002-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T13:41:38.082Z","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":"2026-09-23T13:41:38.082Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T13:41:38.082Z","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"}}}