{"id":"vidhyamitra:city-day:aurangabad:2026-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/aurangabad/2026-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-12-16","date_display":"December 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461390.770833,"kali_year":5128,"ahargana":1872925.2708,"sun":{"sidereal_longitude":239.4023,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":319.8696,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.4674,"elapsed_within_tithi_degrees":8.4674},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.8696,"elapsed_within_degrees":13.203},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.2719},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461390.770833,"ahargana":1872925.2708,"kali_year":5128,"ayanamsa_lahiri":24.2296,"grahas":{"sun":{"sidereal_longitude":239.84682999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":316.13942999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":1.2741},"mars":{"sidereal_longitude":132.15503,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":230.17832999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":122.55813,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":194.06782999999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":343.78053,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":303.406,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.406,"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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461390.770833,"kali_year":5128,"ahargana":1872925.2708,"sun":{"sidereal_longitude":239.4023,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":319.8696,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.4674,"elapsed_within_tithi_degrees":8.4674},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.8696,"elapsed_within_degrees":13.203},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.2719},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.274,"elongation":80.467},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.274,"opposition_distance":99.533}},"eclipse_window_40days":[]},"city":{"slug":"aurangabad","name":"Aurangabad, Maharashtra","lat":19.8762,"lon":75.3433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"aurangabad","name":"Aurangabad, Maharashtra","lat":19.8762,"lon":75.3433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:57","sunsetLocal":"17:53","solarNoonLocal":"12:25","dayLengthHours":10.93548103405304,"dayLengthDisplay":"10 Hours 56 Mins 08 Secs","nightLengthDisplay":"13 Hours 03 Mins 52 Secs","moonriseLocal":"11:39","moonsetLocal":"23:21","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"13:47","startHours":12.415164719547125,"endHours":13.782099848803753,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:19","end":"09:41","startHours":8.314359331777233,"endHours":9.681294461033865,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:03","end":"12:25","startHours":11.048229590290493,"endHours":12.415164719547125,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.499036443799646,"endHours":9.863552478268081,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:42","startHours":7.403069245606147,"endHours":7.694682073180895,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:47","startHours":12.05064868507869,"endHours":12.77968075401556,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:13","startHours":5.489360064646865,"endHours":6.218392133583734,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.036134116349517,"endHours":6.947424202520604,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:58","startHours":14.237744891889296,"endHours":14.966776960826165,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:41","end":"18:05","startHours":17.682905236573646,"endHours":18.082905236573644,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:53","end":"18:20","startHours":17.882905236573645,"endHours":18.338550279659188,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:38","end":"19:23","startHours":17.632905236573645,"endHours":19.382905236573645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:47","startHours":24.05064868507869,"endHours":24.77968075401556,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:57","end":"08:19","startHours":6.947424202520604,"endHours":8.314359331777233,"quality":"auspicious"},{"name":"Amṛta","start":"08:19","end":"09:41","startHours":8.314359331777233,"endHours":9.681294461033865,"quality":"auspicious"},{"name":"Kāla","start":"09:41","end":"11:03","startHours":9.681294461033865,"endHours":11.048229590290493,"quality":"inauspicious"},{"name":"Śubha","start":"11:03","end":"12:25","startHours":11.048229590290493,"endHours":12.415164719547125,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"13:47","startHours":12.415164719547125,"endHours":13.782099848803753,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:09","startHours":13.782099848803753,"endHours":15.149034978060385,"quality":"inauspicious"},{"name":"Chala","start":"15:09","end":"16:31","startHours":15.149034978060385,"endHours":16.515970107317013,"quality":"neutral"},{"name":"Labha","start":"16:31","end":"17:53","startHours":16.515970107317013,"endHours":17.882905236573645,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:53","end":"19:31","startHours":17.882905236573645,"endHours":19.515970107317017,"quality":"inauspicious"},{"name":"Chala","start":"19:31","end":"21:09","startHours":19.515970107317017,"endHours":21.149034978060385,"quality":"neutral"},{"name":"Labha","start":"21:09","end":"22:47","startHours":21.149034978060385,"endHours":22.782099848803753,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:25","startHours":22.782099848803753,"endHours":24.415164719547125,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"02:03","startHours":24.415164719547125,"endHours":26.048229590290497,"quality":"inauspicious"},{"name":"Śubha","start":"02:03","end":"03:41","startHours":26.048229590290497,"endHours":27.681294461033865,"quality":"auspicious"},{"name":"Roga","start":"03:41","end":"05:19","startHours":27.681294461033865,"endHours":29.314359331777233,"quality":"inauspicious"},{"name":"Udveg","start":"05:19","end":"06:57","startHours":29.314359331777233,"endHours":30.947424202520605,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.947424202520604,"endHours":7.947424202520604,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.947424202520604,"endHours":8.947424202520605,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.947424202520605,"endHours":9.947424202520605,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.947424202520605,"endHours":10.947424202520605,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.947424202520605,"endHours":11.947424202520605,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.947424202520605,"endHours":12.947424202520605,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.947424202520605,"endHours":13.947424202520605,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.947424202520605,"endHours":14.947424202520605,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.947424202520605,"endHours":15.947424202520605,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.947424202520605,"endHours":16.947424202520605,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.947424202520605,"endHours":17.947424202520605,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.947424202520605,"endHours":18.947424202520605,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.947424202520605,"endHours":19.947424202520605,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.947424202520605,"endHours":20.947424202520605,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.947424202520605,"endHours":21.947424202520605,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.947424202520605,"endHours":22.947424202520605,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.947424202520605,"endHours":23.947424202520605,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.947424202520605,"endHours":24.947424202520605,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.947424202520605,"endHours":25.947424202520605,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.947424202520605,"endHours":26.947424202520605,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.947424202520605,"endHours":27.947424202520605,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.947424202520605,"endHours":28.947424202520605,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.947424202520605,"endHours":29.947424202520605,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.947424202520605,"endHours":30.947424202520605,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","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":-23.30394549179428,"eotMinutes":3.716916827172506,"ayanamsa":24.2296}},"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 Saptamī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi_ingress":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Dhanu Saṅkrānti is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"aurangabad"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 16, 2026 CE · Aurangabad, Maharashtra · Vidhyamitra","description":"December 16, 2026 CE for Aurangabad, Maharashtra: Śukla Saptamī, sūryodaya 06:57, sūryāsta 17:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/aurangabad/2026-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/aurangabad/2026-12-16","sa":"https://sa.vidhyamitra.com/city/aurangabad/2026-12-16","hi":"https://hi.vidhyamitra.com/city/aurangabad/2026-12-16","x-default":"https://vidhyamitra.com/city/aurangabad/2026-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-21T06:34:05.661Z","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":"2026-08-21T06:34:05.661Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-21T06:34:05.661Z","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"}}}