{"id":"vidhyamitra:city-day:ayodhya:2052-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2052-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-12-04","date_display":"December 4, 2052 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":2052,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470875.770833,"kali_year":5154,"ahargana":1882410.2708,"sun":{"sidereal_longitude":227.3889,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":16.92,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.5311,"elapsed_within_tithi_degrees":5.5311},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":16.92,"elapsed_within_degrees":3.5867},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.309},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2052,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470875.770833,"ahargana":1882410.2708,"kali_year":5154,"ayanamsa_lahiri":24.5923,"grahas":{"sun":{"sidereal_longitude":227.99373300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":15.903532999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-2.648},"mars":{"sidereal_longitude":3.978232999999989,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":209.23893299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":182.72123299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":202.770533,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":301.6726329999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":160.8451,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":340.8451,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"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":2052,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470875.770833,"kali_year":5154,"ahargana":1882410.2708,"sun":{"sidereal_longitude":227.3889,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":16.92,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.5311,"elapsed_within_tithi_degrees":5.5311},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":16.92,"elapsed_within_degrees":3.5867},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.309},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.648,"elongation":149.531},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.648,"opposition_distance":30.469}},"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":"06:36","sunsetLocal":"17:09","solarNoonLocal":"11:52","dayLengthHours":10.542833010177468,"dayLengthDisplay":"10 Hours 32 Mins 34 Secs","nightLengthDisplay":"13 Hours 27 Mins 26 Secs","moonriseLocal":"15:10","moonsetLocal":"04:18","rahuKala":{"name":"Rāhu Kāla","start":"11:52","end":"13:11","startHours":11.870386257764949,"endHours":13.188240384037133,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:55","end":"09:14","startHours":7.916823878948399,"endHours":9.234678005220584,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"11:52","startHours":10.552532131492766,"endHours":11.870386257764949,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.058964121717626,"endHours":9.410391888723542,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:19","startHours":7.038254461433611,"endHours":7.319396675038343,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:13","startHours":11.518958490759033,"endHours":12.221814024770865,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:12","end":"05:54","startHours":5.1932586846525535,"endHours":5.896114218664385,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:43","end":"06:36","startHours":5.720400335161427,"endHours":6.598969752676216,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:38","end":"14:20","startHours":13.627525092794528,"endHours":14.33038062680636,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:57","end":"17:21","startHours":16.941802762853683,"endHours":17.341802762853682,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:09","end":"17:35","startHours":17.141802762853683,"endHours":17.581087471611077,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:54","end":"18:39","startHours":16.891802762853683,"endHours":18.641802762853683,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:13","startHours":23.518958490759033,"endHours":24.221814024770865,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:36","end":"07:55","startHours":6.598969752676216,"endHours":7.916823878948399,"quality":"auspicious"},{"name":"Amṛta","start":"07:55","end":"09:14","startHours":7.916823878948399,"endHours":9.234678005220584,"quality":"auspicious"},{"name":"Kāla","start":"09:14","end":"10:33","startHours":9.234678005220584,"endHours":10.552532131492766,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"11:52","startHours":10.552532131492766,"endHours":11.870386257764949,"quality":"auspicious"},{"name":"Roga","start":"11:52","end":"13:11","startHours":11.870386257764949,"endHours":13.188240384037133,"quality":"inauspicious"},{"name":"Udveg","start":"13:11","end":"14:30","startHours":13.188240384037133,"endHours":14.506094510309318,"quality":"inauspicious"},{"name":"Chala","start":"14:30","end":"15:49","startHours":14.506094510309318,"endHours":15.823948636581498,"quality":"neutral"},{"name":"Labha","start":"15:49","end":"17:09","startHours":15.823948636581498,"endHours":17.141802762853683,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:09","end":"18:49","startHours":17.141802762853683,"endHours":18.8239486365815,"quality":"inauspicious"},{"name":"Chala","start":"18:49","end":"20:30","startHours":18.8239486365815,"endHours":20.506094510309318,"quality":"neutral"},{"name":"Labha","start":"20:30","end":"22:11","startHours":20.506094510309318,"endHours":22.188240384037133,"quality":"auspicious"},{"name":"Amṛta","start":"22:11","end":"23:52","startHours":22.188240384037133,"endHours":23.87038625776495,"quality":"auspicious"},{"name":"Kāla","start":"23:52","end":"01:33","startHours":23.87038625776495,"endHours":25.552532131492764,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"03:14","startHours":25.552532131492764,"endHours":27.23467800522058,"quality":"auspicious"},{"name":"Roga","start":"03:14","end":"04:55","startHours":27.23467800522058,"endHours":28.9168238789484,"quality":"inauspicious"},{"name":"Udveg","start":"04:55","end":"06:36","startHours":28.9168238789484,"endHours":30.598969752676215,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:36","end":"07:36","startHours":6.598969752676216,"endHours":7.598969752676216,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:36","end":"08:36","startHours":7.598969752676216,"endHours":8.598969752676215,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:36","end":"09:36","startHours":8.598969752676215,"endHours":9.598969752676215,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:36","end":"10:36","startHours":9.598969752676215,"endHours":10.598969752676215,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:36","end":"11:36","startHours":10.598969752676215,"endHours":11.598969752676215,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:36","end":"12:36","startHours":11.598969752676215,"endHours":12.598969752676215,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:36","end":"13:36","startHours":12.598969752676215,"endHours":13.598969752676215,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:36","end":"14:36","startHours":13.598969752676215,"endHours":14.598969752676215,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:36","end":"15:36","startHours":14.598969752676215,"endHours":15.598969752676215,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:36","end":"16:36","startHours":15.598969752676215,"endHours":16.598969752676215,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:36","end":"17:36","startHours":16.598969752676215,"endHours":17.598969752676215,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:36","end":"18:36","startHours":17.598969752676215,"endHours":18.598969752676215,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:36","end":"19:36","startHours":18.598969752676215,"endHours":19.598969752676215,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:36","end":"20:36","startHours":19.598969752676215,"endHours":20.598969752676215,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:36","end":"21:36","startHours":20.598969752676215,"endHours":21.598969752676215,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:36","end":"22:36","startHours":21.598969752676215,"endHours":22.598969752676215,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:36","end":"23:36","startHours":22.598969752676215,"endHours":23.598969752676215,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:36","end":"00:36","startHours":23.598969752676215,"endHours":24.598969752676215,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:36","end":"01:36","startHours":24.598969752676215,"endHours":25.598969752676215,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:36","end":"02:36","startHours":25.598969752676215,"endHours":26.598969752676215,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:36","end":"03:36","startHours":26.598969752676215,"endHours":27.598969752676215,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:36","end":"04:36","startHours":27.598969752676215,"endHours":28.598969752676215,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:36","end":"05:36","startHours":28.598969752676215,"endHours":29.598969752676215,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:36","end":"06:36","startHours":29.598969752676215,"endHours":30.598969752676215,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":-22.302922382573684,"eotMinutes":8.960824534103129,"ayanamsa":24.5923}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"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 Trayodaśī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[{"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":"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":"Budhavāra (Wednesday) — 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 4, 2052 CE · Ayodhyā · Vidhyamitra","description":"December 4, 2052 CE for Ayodhyā: Śukla Trayodaśī, sūryodaya 06:36, sūryāsta 17:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2052-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2052-12-04","sa":"https://sa.vidhyamitra.com/city/ayodhya/2052-12-04","hi":"https://hi.vidhyamitra.com/city/ayodhya/2052-12-04","x-default":"https://vidhyamitra.com/city/ayodhya/2052-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:29:08.388Z","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":"2026-05-31T00:29:08.388Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:29:08.388Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}