{"id":"vidhyamitra:city-day:ayodhya:2051-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2051-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-01-01","date_display":"January 1, 2051 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":2051,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470172.770833,"kali_year":5152,"ahargana":1881707.2708,"sun":{"sidereal_longitude":255.6244,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.6238,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9994,"elapsed_within_tithi_degrees":10.9994},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.6238,"elapsed_within_degrees":2.6238},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.2482},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2051,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470172.770833,"ahargana":1881707.2708,"kali_year":5152,"ayanamsa_lahiri":24.5654,"grahas":{"sun":{"sidereal_longitude":255.984193,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":120.79709300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-4.3558},"mars":{"sidereal_longitude":340.143193,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":232.75809299999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":130.28169300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":208.43919299999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":282.573093,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":198.0934,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.0934,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2051,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470172.770833,"kali_year":5152,"ahargana":1881707.2708,"sun":{"sidereal_longitude":255.6244,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.6238,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9994,"elapsed_within_tithi_degrees":10.9994},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.6238,"elapsed_within_degrees":2.6238},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.2482},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.356,"elongation":133.001},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.356,"opposition_distance":46.999}},"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":"06:50","sunsetLocal":"17:19","solarNoonLocal":"12:05","dayLengthHours":10.485961187487746,"dayLengthDisplay":"10 Hours 29 Mins 09 Secs","nightLengthDisplay":"13 Hours 30 Mins 51 Secs","moonriseLocal":"20:35","moonsetLocal":"09:34","rahuKala":{"name":"Rāhu Kāla","start":"16:01","end":"17:19","startHours":16.01372175069784,"endHours":17.324466899133807,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:05","end":"13:24","startHours":12.081486305389934,"endHours":13.392231453825904,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:42","end":"16:01","startHours":14.70297660226187,"endHours":16.01372175069784,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:38","startHours":9.285229988726535,"endHours":9.63476202830946,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:33","startHours":7.2754207611247175,"endHours":7.555046392791057,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:26","startHours":11.731954265807008,"endHours":12.431018344972859,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:08","startHours":5.440377553314362,"endHours":6.139441632480212,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:50","startHours":5.964675612688749,"endHours":6.838505711646062,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:32","startHours":13.829146503304559,"endHours":14.528210582470408,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.124466899133807,"endHours":17.524466899133806,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:46","startHours":17.324466899133807,"endHours":17.761381948612463,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.074466899133807,"endHours":18.824466899133807,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:26","startHours":23.73195426580701,"endHours":24.43101834497286,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:50","end":"08:09","startHours":6.838505711646062,"endHours":8.14925086008203,"quality":"inauspicious"},{"name":"Chala","start":"08:09","end":"09:28","startHours":8.14925086008203,"endHours":9.459996008517997,"quality":"neutral"},{"name":"Labha","start":"09:28","end":"10:46","startHours":9.459996008517997,"endHours":10.770741156953967,"quality":"auspicious"},{"name":"Amṛta","start":"10:46","end":"12:05","startHours":10.770741156953967,"endHours":12.081486305389934,"quality":"auspicious"},{"name":"Kāla","start":"12:05","end":"13:24","startHours":12.081486305389934,"endHours":13.392231453825904,"quality":"inauspicious"},{"name":"Śubha","start":"13:24","end":"14:42","startHours":13.392231453825904,"endHours":14.70297660226187,"quality":"auspicious"},{"name":"Roga","start":"14:42","end":"16:01","startHours":14.70297660226187,"endHours":16.01372175069784,"quality":"inauspicious"},{"name":"Udveg","start":"16:01","end":"17:19","startHours":16.01372175069784,"endHours":17.324466899133807,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:19","end":"19:01","startHours":17.324466899133807,"endHours":19.01372175069784,"quality":"auspicious"},{"name":"Roga","start":"19:01","end":"20:42","startHours":19.01372175069784,"endHours":20.70297660226187,"quality":"inauspicious"},{"name":"Udveg","start":"20:42","end":"22:24","startHours":20.70297660226187,"endHours":22.3922314538259,"quality":"inauspicious"},{"name":"Chala","start":"22:24","end":"00:05","startHours":22.3922314538259,"endHours":24.081486305389934,"quality":"neutral"},{"name":"Labha","start":"00:05","end":"01:46","startHours":24.081486305389934,"endHours":25.770741156953967,"quality":"auspicious"},{"name":"Amṛta","start":"01:46","end":"03:28","startHours":25.770741156953967,"endHours":27.459996008517997,"quality":"auspicious"},{"name":"Kāla","start":"03:28","end":"05:09","startHours":27.459996008517997,"endHours":29.149250860082027,"quality":"inauspicious"},{"name":"Śubha","start":"05:09","end":"06:50","startHours":29.149250860082027,"endHours":30.83850571164606,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.838505711646062,"endHours":7.838505711646062,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.838505711646062,"endHours":8.83850571164606,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.83850571164606,"endHours":9.83850571164606,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.83850571164606,"endHours":10.83850571164606,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.83850571164606,"endHours":11.83850571164606,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.83850571164606,"endHours":12.83850571164606,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.83850571164606,"endHours":13.83850571164606,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.83850571164606,"endHours":14.83850571164606,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.83850571164606,"endHours":15.83850571164606,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.83850571164606,"endHours":16.83850571164606,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.83850571164606,"endHours":17.83850571164606,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.83850571164606,"endHours":18.83850571164606,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.83850571164606,"endHours":19.83850571164606,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.83850571164606,"endHours":20.83850571164606,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.83850571164606,"endHours":21.83850571164606,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.83850571164606,"endHours":22.83850571164606,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.83850571164606,"endHours":23.83850571164606,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.83850571164606,"endHours":24.83850571164606,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.83850571164606,"endHours":25.83850571164606,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.83850571164606,"endHours":26.83850571164606,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.83850571164606,"endHours":27.83850571164606,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.83850571164606,"endHours":28.83850571164606,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.83850571164606,"endHours":29.83850571164606,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.83850571164606,"endHours":30.83850571164606,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.017328723974142,"eotMinutes":-3.705178323396069,"ayanamsa":24.5654}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"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":"Dhanu"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 January 1, 2051 CE · Ayodhyā · Vidhyamitra","description":"January 1, 2051 CE for Ayodhyā: Kṛṣṇa Caturthī, sūryodaya 06:50, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2051-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2051-01-01","sa":"https://sa.vidhyamitra.com/city/ayodhya/2051-01-01","hi":"https://hi.vidhyamitra.com/city/ayodhya/2051-01-01","x-default":"https://vidhyamitra.com/city/ayodhya/2051-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T12:59:36.575Z","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":"2026-05-16T12:59:36.575Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T12:59:36.575Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}