{"id":"vidhyamitra:city-day:patna:2026-12-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2026-12-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-12-10","date_display":"December 10, 2026 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":2026,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461384.770833,"kali_year":5128,"ahargana":1872919.2708,"sun":{"sidereal_longitude":233.2507,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":246.1991,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.9484,"elapsed_within_tithi_degrees":0.9484},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":246.1991,"elapsed_within_degrees":6.1991},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.4498},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2026,"month":12,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461384.770833,"ahargana":1872919.2708,"kali_year":5128,"ayanamsa_lahiri":24.2293,"grahas":{"sun":{"sidereal_longitude":233.74645899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":244.742659,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-3.7952},"mars":{"sidereal_longitude":130.42165899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":220.91605900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":122.558559,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":189.31615899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":343.756959,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":303.7239,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.7239,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461384.770833,"kali_year":5128,"ahargana":1872919.2708,"sun":{"sidereal_longitude":233.2507,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":246.1991,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.9484,"elapsed_within_tithi_degrees":0.9484},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":246.1991,"elapsed_within_degrees":6.1991},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.4498},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.795,"elongation":12.948},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.795,"opposition_distance":167.052}},"eclipse_window_40days":[]},"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":"06:26","sunsetLocal":"17:00","solarNoonLocal":"11:43","dayLengthHours":10.58034763906771,"dayLengthDisplay":"10 Hours 34 Mins 49 Secs","nightLengthDisplay":"13 Hours 25 Mins 11 Secs","moonriseLocal":"07:12","moonsetLocal":"17:42","rahuKala":{"name":"Rāhu Kāla","start":"13:02","end":"14:22","startHours":13.039536589245877,"endHours":14.362080044129343,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:26","end":"07:45","startHours":6.426819314828559,"endHours":7.749362769712023,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:24","startHours":9.071906224595487,"endHours":10.39444967947895,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:15","startHours":8.895567097277691,"endHours":9.248245351913281,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:09","startHours":6.867667133123047,"endHours":7.149809736831519,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:04","startHours":11.364314879726825,"endHours":12.069671388998005,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:43","startHours":5.016106296286198,"endHours":5.721462805557378,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:26","startHours":5.545123678239583,"endHours":6.426819314828559,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:29","end":"14:11","startHours":13.480384407540367,"endHours":14.185740916811547,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:48","end":"17:12","startHours":16.80716695389627,"endHours":17.20716695389627,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:00","end":"17:27","startHours":17.00716695389627,"endHours":17.44801477219076,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:45","end":"18:30","startHours":16.75716695389627,"endHours":18.50716695389627,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:04","startHours":23.364314879726823,"endHours":24.069671388998007,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:26","end":"07:45","startHours":6.426819314828559,"endHours":7.749362769712023,"quality":"auspicious"},{"name":"Roga","start":"07:45","end":"09:04","startHours":7.749362769712023,"endHours":9.071906224595487,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:24","startHours":9.071906224595487,"endHours":10.39444967947895,"quality":"inauspicious"},{"name":"Chala","start":"10:24","end":"11:43","startHours":10.39444967947895,"endHours":11.716993134362415,"quality":"neutral"},{"name":"Labha","start":"11:43","end":"13:02","startHours":11.716993134362415,"endHours":13.039536589245877,"quality":"auspicious"},{"name":"Amṛta","start":"13:02","end":"14:22","startHours":13.039536589245877,"endHours":14.362080044129343,"quality":"auspicious"},{"name":"Kāla","start":"14:22","end":"15:41","startHours":14.362080044129343,"endHours":15.684623499012805,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:00","startHours":15.684623499012805,"endHours":17.00716695389627,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:00","end":"18:41","startHours":17.00716695389627,"endHours":18.684623499012808,"quality":"auspicious"},{"name":"Kāla","start":"18:41","end":"20:22","startHours":18.684623499012808,"endHours":20.362080044129343,"quality":"inauspicious"},{"name":"Śubha","start":"20:22","end":"22:02","startHours":20.362080044129343,"endHours":22.039536589245877,"quality":"auspicious"},{"name":"Roga","start":"22:02","end":"23:43","startHours":22.039536589245877,"endHours":23.716993134362415,"quality":"inauspicious"},{"name":"Udveg","start":"23:43","end":"01:24","startHours":23.716993134362415,"endHours":25.394449679478953,"quality":"inauspicious"},{"name":"Chala","start":"01:24","end":"03:04","startHours":25.394449679478953,"endHours":27.071906224595487,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:45","startHours":27.071906224595487,"endHours":28.74936276971202,"quality":"auspicious"},{"name":"Amṛta","start":"04:45","end":"06:26","startHours":28.74936276971202,"endHours":30.42681931482856,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.426819314828559,"endHours":7.426819314828559,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.426819314828559,"endHours":8.42681931482856,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.42681931482856,"endHours":9.42681931482856,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.42681931482856,"endHours":10.42681931482856,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.42681931482856,"endHours":11.42681931482856,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.42681931482856,"endHours":12.42681931482856,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.42681931482856,"endHours":13.42681931482856,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.42681931482856,"endHours":14.42681931482856,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.42681931482856,"endHours":15.42681931482856,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.42681931482856,"endHours":16.42681931482856,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.42681931482856,"endHours":17.42681931482856,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.42681931482856,"endHours":18.42681931482856,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.42681931482856,"endHours":19.42681931482856,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.42681931482856,"endHours":20.42681931482856,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.42681931482856,"endHours":21.42681931482856,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.42681931482856,"endHours":22.42681931482856,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.42681931482856,"endHours":23.42681931482856,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.42681931482856,"endHours":24.42681931482856,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.42681931482856,"endHours":25.42681931482856,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.42681931482856,"endHours":26.42681931482856,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.42681931482856,"endHours":27.42681931482856,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.42681931482856,"endHours":28.42681931482856,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.42681931482856,"endHours":29.42681931482856,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.42681931482856,"endHours":30.42681931482856,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","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":-22.89266591000247,"eotMinutes":6.4300119382551255,"ayanamsa":24.2293}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"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":"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 10, 2026 CE · Patna, Bihar · Vidhyamitra","description":"December 10, 2026 CE for Patna, Bihar: Śukla Dvitīyā, sūryodaya 06:26, sūryāsta 17:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2026-12-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2026-12-10","sa":"https://sa.vidhyamitra.com/city/patna/2026-12-10","hi":"https://hi.vidhyamitra.com/city/patna/2026-12-10","x-default":"https://vidhyamitra.com/city/patna/2026-12-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-19T06:41:17.763Z","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":"2026-08-19T06:41:17.763Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-19T06:41:17.763Z","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"}}}