{"id":"vidhyamitra:city-day:ayodhya:2030-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2030-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2030-12-13","date_display":"December 13, 2030 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":2030,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462848.770833,"kali_year":5132,"ahargana":1874383.2708,"sun":{"sidereal_longitude":236.2893,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":93.0758,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.7865,"elapsed_within_tithi_degrees":0.7865},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":93.0758,"elapsed_within_degrees":13.0758},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.3651},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2030,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462848.770833,"ahargana":1874383.2708,"kali_year":5132,"ayanamsa_lahiri":24.2853,"grahas":{"sun":{"sidereal_longitude":236.76892299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":90.26152300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-3.2853},"mars":{"sidereal_longitude":167.56352300000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.86652299999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":227.00822300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":249.58882300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":39.77712300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":226.1541,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":46.1541,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2030,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462848.770833,"kali_year":5132,"ahargana":1874383.2708,"sun":{"sidereal_longitude":236.2893,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":93.0758,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.7865,"elapsed_within_tithi_degrees":0.7865},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":93.0758,"elapsed_within_degrees":13.0758},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.3651},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.285,"elongation":143.213},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.285,"opposition_distance":36.787}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-0.714,"opposition_distance":2.237}]},"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":10.476552814780739,"dayLengthDisplay":"10 Hours 28 Mins 36 Secs","nightLengthDisplay":"13 Hours 31 Mins 24 Secs","moonriseLocal":"19:22","moonsetLocal":"08:58","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"11:56","startHours":10.625320060662107,"endHours":11.934889162509698,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:33","end":"15:52","startHours":14.554027366204885,"endHours":15.863596468052474,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:00","end":"09:19","startHours":8.006181856966922,"endHours":9.315750958814515,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.141141745234835,"endHours":9.490360172394194,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:25","startHours":7.133135789068527,"endHours":7.4125105307960135,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.585670735350341,"endHours":12.284107589669055,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:00","startHours":5.299739046481898,"endHours":5.9981759008006135,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:42","startHours":5.823566687220935,"endHours":6.69661275511933,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:23","startHours":13.680981298306488,"endHours":14.379418152625204,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.97316556990007,"endHours":17.373165569900067,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.173165569900068,"endHours":17.609688603849264,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.923165569900068,"endHours":18.673165569900068,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.58567073535034,"endHours":24.284107589669055,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:42","end":"08:00","startHours":6.69661275511933,"endHours":8.006181856966922,"quality":"neutral"},{"name":"Labha","start":"08:00","end":"09:19","startHours":8.006181856966922,"endHours":9.315750958814515,"quality":"auspicious"},{"name":"Amṛta","start":"09:19","end":"10:38","startHours":9.315750958814515,"endHours":10.625320060662107,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"11:56","startHours":10.625320060662107,"endHours":11.934889162509698,"quality":"inauspicious"},{"name":"Śubha","start":"11:56","end":"13:15","startHours":11.934889162509698,"endHours":13.244458264357291,"quality":"auspicious"},{"name":"Roga","start":"13:15","end":"14:33","startHours":13.244458264357291,"endHours":14.554027366204885,"quality":"inauspicious"},{"name":"Udveg","start":"14:33","end":"15:52","startHours":14.554027366204885,"endHours":15.863596468052474,"quality":"inauspicious"},{"name":"Chala","start":"15:52","end":"17:10","startHours":15.863596468052474,"endHours":17.173165569900068,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:10","end":"18:52","startHours":17.173165569900068,"endHours":18.863596468052474,"quality":"inauspicious"},{"name":"Udveg","start":"18:52","end":"20:33","startHours":18.863596468052474,"endHours":20.554027366204885,"quality":"inauspicious"},{"name":"Chala","start":"20:33","end":"22:15","startHours":20.554027366204885,"endHours":22.24445826435729,"quality":"neutral"},{"name":"Labha","start":"22:15","end":"23:56","startHours":22.24445826435729,"endHours":23.9348891625097,"quality":"auspicious"},{"name":"Amṛta","start":"23:56","end":"01:38","startHours":23.9348891625097,"endHours":25.625320060662105,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:19","startHours":25.625320060662105,"endHours":27.31575095881451,"quality":"inauspicious"},{"name":"Śubha","start":"03:19","end":"05:00","startHours":27.31575095881451,"endHours":29.006181856966922,"quality":"auspicious"},{"name":"Roga","start":"05:00","end":"06:42","startHours":29.006181856966922,"endHours":30.69661275511933,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.69661275511933,"endHours":7.69661275511933,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.69661275511933,"endHours":8.696612755119329,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.696612755119329,"endHours":9.696612755119329,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.696612755119329,"endHours":10.696612755119329,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.696612755119329,"endHours":11.696612755119329,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.696612755119329,"endHours":12.696612755119329,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.696612755119329,"endHours":13.696612755119329,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.696612755119329,"endHours":14.696612755119329,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.696612755119329,"endHours":15.696612755119329,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.696612755119329,"endHours":16.69661275511933,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.69661275511933,"endHours":17.69661275511933,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.69661275511933,"endHours":18.69661275511933,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.69661275511933,"endHours":19.69661275511933,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.69661275511933,"endHours":20.69661275511933,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.69661275511933,"endHours":21.69661275511933,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.69661275511933,"endHours":22.69661275511933,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.69661275511933,"endHours":23.69661275511933,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.69661275511933,"endHours":24.69661275511933,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.69661275511933,"endHours":25.69661275511933,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.69661275511933,"endHours":26.69661275511933,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.69661275511933,"endHours":27.69661275511933,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.69661275511933,"endHours":28.69661275511933,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.69661275511933,"endHours":29.69661275511933,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.69661275511933,"endHours":30.69661275511933,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","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":-23.134719032940797,"eotMinutes":5.090650249418121,"ayanamsa":24.2853}},"calendars":{"vikram_samvat":2087,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1952,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1437,"malayalam_era":1206,"nanakshahi_year":561,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram 2087 Rudhirodgāri · Śaka 1952 Sādhāraṇa"},"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":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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, 2030 CE · Ayodhyā · Vidhyamitra","description":"December 13, 2030 CE for Ayodhyā: Kṛṣṇa Caturthī, sūryodaya 06:42, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2030-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2030-12-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2030-12-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2030-12-13","x-default":"https://vidhyamitra.com/city/ayodhya/2030-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T02:56:42.497Z","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":"2026-05-15T02:56:42.497Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T02:56:42.497Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}