{"id":"vidhyamitra:city-day:ayodhya:2024-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2024-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-12-13","date_display":"December 13, 2024 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":2024,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460657.770833,"kali_year":5126,"ahargana":1872192.2708,"sun":{"sidereal_longitude":236.8558,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":27.6237,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.7679,"elapsed_within_tithi_degrees":6.7679},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.6237,"elapsed_within_degrees":0.9571},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.4796},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2024,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460657.770833,"ahargana":1872192.2708,"kali_year":5126,"ayanamsa_lahiri":24.2015,"grahas":{"sun":{"sidereal_longitude":237.31743600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":25.884836000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":3.2014},"mars":{"sidereal_longitude":101.36823600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":222.47393599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":51.31893600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":282.10803599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":319.246036,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":342.2439,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.2439,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":"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":2024,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460657.770833,"kali_year":5126,"ahargana":1872192.2708,"sun":{"sidereal_longitude":236.8558,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":27.6237,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.7679,"elapsed_within_tithi_degrees":6.7679},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.6237,"elapsed_within_degrees":0.9571},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.4796},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.201,"elongation":150.768},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.201,"opposition_distance":29.232}},"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":10.474109187336893,"dayLengthDisplay":"10 Hours 28 Mins 27 Secs","nightLengthDisplay":"13 Hours 31 Mins 33 Secs","moonriseLocal":"15:10","moonsetLocal":"04:30","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"11:56","startHours":10.625625514092587,"endHours":11.934889162509698,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:33","end":"15:52","startHours":14.553416459343921,"endHours":15.862680107761033,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:00","end":"09:19","startHours":8.007098217258363,"endHours":9.316361865675475,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:29","startHours":9.141793379219859,"endHours":9.49093035213109,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.134255784980289,"endHours":7.413565363309273,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585752189598468,"endHours":12.284026135420929,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.301286677196333,"endHours":5.999560623018792,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.824992136563178,"endHours":6.697834568841252,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.680574027065846,"endHours":14.378847972888305,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.971943756178145,"endHours":17.371943756178144,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.171943756178145,"endHours":17.608364972317183,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.921943756178145,"endHours":18.671943756178145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58575218959847,"endHours":24.284026135420927,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:42","end":"08:00","startHours":6.697834568841252,"endHours":8.007098217258363,"quality":"neutral"},{"name":"Labha","start":"08:00","end":"09:19","startHours":8.007098217258363,"endHours":9.316361865675475,"quality":"auspicious"},{"name":"Amṛta","start":"09:19","end":"10:38","startHours":9.316361865675475,"endHours":10.625625514092587,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"11:56","startHours":10.625625514092587,"endHours":11.934889162509698,"quality":"inauspicious"},{"name":"Śubha","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.24415281092681,"quality":"auspicious"},{"name":"Roga","start":"13:15","end":"14:33","startHours":13.24415281092681,"endHours":14.553416459343921,"quality":"inauspicious"},{"name":"Udveg","start":"14:33","end":"15:52","startHours":14.553416459343921,"endHours":15.862680107761033,"quality":"inauspicious"},{"name":"Chala","start":"15:52","end":"17:10","startHours":15.862680107761033,"endHours":17.171943756178145,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:10","end":"18:52","startHours":17.171943756178145,"endHours":18.862680107761033,"quality":"inauspicious"},{"name":"Udveg","start":"18:52","end":"20:33","startHours":18.862680107761033,"endHours":20.55341645934392,"quality":"inauspicious"},{"name":"Chala","start":"20:33","end":"22:15","startHours":20.55341645934392,"endHours":22.24415281092681,"quality":"neutral"},{"name":"Labha","start":"22:15","end":"23:56","startHours":22.24415281092681,"endHours":23.9348891625097,"quality":"auspicious"},{"name":"Amṛta","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.625625514092587,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:19","startHours":25.625625514092587,"endHours":27.316361865675475,"quality":"inauspicious"},{"name":"Śubha","start":"03:19","end":"05:00","startHours":27.316361865675475,"endHours":29.007098217258363,"quality":"auspicious"},{"name":"Roga","start":"05:00","end":"06:42","startHours":29.007098217258363,"endHours":30.69783456884125,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.697834568841252,"endHours":7.697834568841252,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.697834568841252,"endHours":8.697834568841252,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.697834568841252,"endHours":9.697834568841252,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.697834568841252,"endHours":10.697834568841252,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.697834568841252,"endHours":11.697834568841252,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.697834568841252,"endHours":12.697834568841252,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.697834568841252,"endHours":13.697834568841252,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.697834568841252,"endHours":14.697834568841252,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.697834568841252,"endHours":15.697834568841252,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.697834568841252,"endHours":16.69783456884125,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.69783456884125,"endHours":17.69783456884125,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.69783456884125,"endHours":18.69783456884125,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.69783456884125,"endHours":19.69783456884125,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.69783456884125,"endHours":20.69783456884125,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.69783456884125,"endHours":21.69783456884125,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.69783456884125,"endHours":22.69783456884125,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.69783456884125,"endHours":23.69783456884125,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.69783456884125,"endHours":24.69783456884125,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.69783456884125,"endHours":25.69783456884125,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.69783456884125,"endHours":26.69783456884125,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.69783456884125,"endHours":27.69783456884125,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.69783456884125,"endHours":28.69783456884125,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.69783456884125,"endHours":29.69783456884125,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.69783456884125,"endHours":30.69783456884125,"planetary_lord":"Mars"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-23.165171571532618,"eotMinutes":5.090650249418121,"ayanamsa":24.2015}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[{"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":"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":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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, 2024 CE · Ayodhyā · Vidhyamitra","description":"December 13, 2024 CE for Ayodhyā: Śukla Trayodaśī, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2024-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2024-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2024-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2024-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/2024-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T22:24:39.931Z","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":"2026-05-14T22:24:39.931Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T22:24:39.931Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}