{"id":"vidhyamitra:city-day:ayodhya:2072-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2072-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-12-13","date_display":"December 13, 2072 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2072,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478189.770833,"kali_year":5174,"ahargana":1889724.2708,"sun":{"sidereal_longitude":236.4249,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":278.3333,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.9084,"elapsed_within_tithi_degrees":5.9084},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.3333,"elapsed_within_degrees":11.6667},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.7582},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2072,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478189.770833,"ahargana":1889724.2708,"kali_year":5174,"ayanamsa_lahiri":24.8721,"grahas":{"sun":{"sidereal_longitude":237.00368400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":277.095184,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":2.5781},"mars":{"sidereal_longitude":240.46718399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":224.93658400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":71.55188399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":282.662384,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":204.81958399999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":133.3141,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":313.3141,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2072,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478189.770833,"kali_year":5174,"ahargana":1889724.2708,"sun":{"sidereal_longitude":236.4249,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":278.3333,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.9084,"elapsed_within_tithi_degrees":5.9084},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.3333,"elapsed_within_degrees":11.6667},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.7582},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.578,"elongation":41.908},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.578,"opposition_distance":138.092}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:42","sunsetLocal":"17:10","solarNoonLocal":"11:56","dayLengthHours":10.472319444076874,"dayLengthDisplay":"10 Hours 28 Mins 20 Secs","nightLengthDisplay":"13 Hours 31 Mins 40 Secs","moonriseLocal":"09:15","moonsetLocal":"19:58","rahuKala":{"name":"Rāhu Kāla","start":"14:33","end":"15:52","startHours":14.552969023528917,"endHours":15.862008954038526,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:19","end":"10:38","startHours":9.31680930149048,"endHours":10.625849232000089,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.243929093019307,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:29","startHours":9.142270644089198,"endHours":9.49134795889176,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.135076083974464,"endHours":7.414337935816514,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585811847707136,"endHours":12.28396647731226,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.302420181261011,"endHours":6.000574810866135,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:50","end":"06:42","startHours":5.826036153464854,"endHours":6.6987294404712605,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.68027573652251,"endHours":14.378430366127635,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.971048884548136,"endHours":17.371048884548134,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:36","startHours":17.171048884548135,"endHours":17.607395528051338,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.921048884548135,"endHours":18.671048884548135,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.585811847707134,"endHours":24.283966477312262,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:42","end":"08:00","startHours":6.6987294404712605,"endHours":8.00776937098087,"quality":"inauspicious"},{"name":"Udveg","start":"08:00","end":"09:19","startHours":8.00776937098087,"endHours":9.31680930149048,"quality":"inauspicious"},{"name":"Chala","start":"09:19","end":"10:38","startHours":9.31680930149048,"endHours":10.625849232000089,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"11:56","startHours":10.625849232000089,"endHours":11.934889162509698,"quality":"auspicious"},{"name":"Amṛta","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.243929093019307,"quality":"auspicious"},{"name":"Kāla","start":"13:15","end":"14:33","startHours":13.243929093019307,"endHours":14.552969023528917,"quality":"inauspicious"},{"name":"Śubha","start":"14:33","end":"15:52","startHours":14.552969023528917,"endHours":15.862008954038526,"quality":"auspicious"},{"name":"Roga","start":"15:52","end":"17:10","startHours":15.862008954038526,"endHours":17.171048884548135,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:10","end":"18:52","startHours":17.171048884548135,"endHours":18.862008954038526,"quality":"inauspicious"},{"name":"Śubha","start":"18:52","end":"20:33","startHours":18.862008954038526,"endHours":20.552969023528917,"quality":"auspicious"},{"name":"Roga","start":"20:33","end":"22:15","startHours":20.552969023528917,"endHours":22.243929093019307,"quality":"inauspicious"},{"name":"Udveg","start":"22:15","end":"23:56","startHours":22.243929093019307,"endHours":23.9348891625097,"quality":"inauspicious"},{"name":"Chala","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.62584923200009,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:19","startHours":25.62584923200009,"endHours":27.31680930149048,"quality":"auspicious"},{"name":"Amṛta","start":"03:19","end":"05:00","startHours":27.31680930149048,"endHours":29.00776937098087,"quality":"auspicious"},{"name":"Kāla","start":"05:00","end":"06:42","startHours":29.00776937098087,"endHours":30.69872944047126,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.6987294404712605,"endHours":7.6987294404712605,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.6987294404712605,"endHours":8.698729440471261,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.698729440471261,"endHours":9.698729440471261,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.698729440471261,"endHours":10.698729440471261,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.698729440471261,"endHours":11.698729440471261,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.698729440471261,"endHours":12.698729440471261,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.698729440471261,"endHours":13.698729440471261,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.698729440471261,"endHours":14.698729440471261,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.698729440471261,"endHours":15.698729440471261,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.698729440471261,"endHours":16.69872944047126,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.69872944047126,"endHours":17.69872944047126,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.69872944047126,"endHours":18.69872944047126,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.69872944047126,"endHours":19.69872944047126,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.69872944047126,"endHours":20.69872944047126,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.69872944047126,"endHours":21.69872944047126,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.69872944047126,"endHours":22.69872944047126,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.69872944047126,"endHours":23.69872944047126,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.69872944047126,"endHours":24.69872944047126,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.69872944047126,"endHours":25.69872944047126,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.69872944047126,"endHours":26.69872944047126,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.69872944047126,"endHours":27.69872944047126,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.69872944047126,"endHours":28.69872944047126,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.69872944047126,"endHours":29.69872944047126,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.69872944047126,"endHours":30.69872944047126,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.187465666257836,"eotMinutes":5.090650249418121,"ayanamsa":24.8721}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2072 CE · Ayodhyā · Vidhyamitra","description":"December 13, 2072 CE for Ayodhyā: Śukla Caturthī, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2072-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2072-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2072-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2072-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/2072-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T16:19:24.948Z","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":"2026-05-20T16:19:24.948Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T16:19:24.948Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}