{"id":"vidhyamitra:city-day:ayodhya:2175-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2175-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-12-20","date_display":"December 20, 2175 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":2175,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515815.770833,"kali_year":5277,"ahargana":1927350.2708,"sun":{"sidereal_longitude":240.8854,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.2208,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.3353,"elapsed_within_tithi_degrees":9.3353},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.2208,"elapsed_within_degrees":2.2208},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.1062},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2175,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515815.770833,"ahargana":1927350.2708,"kali_year":5277,"ayanamsa_lahiri":26.3111,"grahas":{"sun":{"sidereal_longitude":241.67019400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":320.291794,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":1.7215},"mars":{"sidereal_longitude":189.951194,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":223.649494,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":295.02439400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":209.23609399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":5.690793999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":299.7076,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.7076,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"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":2175,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515815.770833,"kali_year":5277,"ahargana":1927350.2708,"sun":{"sidereal_longitude":240.8854,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.2208,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.3353,"elapsed_within_tithi_degrees":9.3353},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.2208,"elapsed_within_degrees":2.2208},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.1062},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.722,"elongation":81.335},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.722,"opposition_distance":98.665}},"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":"06:46","sunsetLocal":"17:13","solarNoonLocal":"11:59","dayLengthHours":10.4535247219252,"dayLengthDisplay":"10 Hours 27 Mins 13 Secs","nightLengthDisplay":"13 Hours 32 Mins 47 Secs","moonriseLocal":"11:22","moonsetLocal":"23:06","rahuKala":{"name":"Rāhu Kāla","start":"11:59","end":"13:18","startHours":11.98886804129219,"endHours":13.295558631532838,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:04","end":"09:23","startHours":8.068796270570239,"endHours":9.375486860810888,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:41","end":"11:59","startHours":10.682177451051539,"endHours":11.98886804129219,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:33","startHours":9.201261448778801,"endHours":9.549712272842974,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:29","startHours":7.197669210409805,"endHours":7.4764298696611435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:20","startHours":11.640417217228016,"endHours":12.337318865356362,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:04","startHours":5.368302384072895,"endHours":6.065204032201241,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:53","end":"06:46","startHours":5.890978620169155,"endHours":6.762105680329588,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:26","startHours":13.731122161613055,"endHours":14.4280238097414,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:01","end":"17:25","startHours":17.01563040225479,"endHours":17.415630402254788,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:13","end":"17:39","startHours":17.21563040225479,"endHours":17.651193932335005,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:58","end":"18:43","startHours":16.96563040225479,"endHours":18.71563040225479,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:20","startHours":23.640417217228016,"endHours":24.337318865356362,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:46","end":"08:04","startHours":6.762105680329588,"endHours":8.068796270570239,"quality":"auspicious"},{"name":"Amṛta","start":"08:04","end":"09:23","startHours":8.068796270570239,"endHours":9.375486860810888,"quality":"auspicious"},{"name":"Kāla","start":"09:23","end":"10:41","startHours":9.375486860810888,"endHours":10.682177451051539,"quality":"inauspicious"},{"name":"Śubha","start":"10:41","end":"11:59","startHours":10.682177451051539,"endHours":11.98886804129219,"quality":"auspicious"},{"name":"Roga","start":"11:59","end":"13:18","startHours":11.98886804129219,"endHours":13.295558631532838,"quality":"inauspicious"},{"name":"Udveg","start":"13:18","end":"14:36","startHours":13.295558631532838,"endHours":14.602249221773489,"quality":"inauspicious"},{"name":"Chala","start":"14:36","end":"15:55","startHours":14.602249221773489,"endHours":15.908939812014138,"quality":"neutral"},{"name":"Labha","start":"15:55","end":"17:13","startHours":15.908939812014138,"endHours":17.21563040225479,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:13","end":"18:55","startHours":17.21563040225479,"endHours":18.90893981201414,"quality":"inauspicious"},{"name":"Chala","start":"18:55","end":"20:36","startHours":18.90893981201414,"endHours":20.602249221773487,"quality":"neutral"},{"name":"Labha","start":"20:36","end":"22:18","startHours":20.602249221773487,"endHours":22.29555863153284,"quality":"auspicious"},{"name":"Amṛta","start":"22:18","end":"23:59","startHours":22.29555863153284,"endHours":23.98886804129219,"quality":"auspicious"},{"name":"Kāla","start":"23:59","end":"01:41","startHours":23.98886804129219,"endHours":25.682177451051537,"quality":"inauspicious"},{"name":"Śubha","start":"01:41","end":"03:23","startHours":25.682177451051537,"endHours":27.375486860810888,"quality":"auspicious"},{"name":"Roga","start":"03:23","end":"05:04","startHours":27.375486860810888,"endHours":29.06879627057024,"quality":"inauspicious"},{"name":"Udveg","start":"05:04","end":"06:46","startHours":29.06879627057024,"endHours":30.76210568032959,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.762105680329588,"endHours":7.762105680329588,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.762105680329588,"endHours":8.762105680329588,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.762105680329588,"endHours":9.762105680329588,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.762105680329588,"endHours":10.762105680329588,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.762105680329588,"endHours":11.762105680329588,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.762105680329588,"endHours":12.762105680329588,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.762105680329588,"endHours":13.762105680329588,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.762105680329588,"endHours":14.762105680329588,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.762105680329588,"endHours":15.762105680329588,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.762105680329588,"endHours":16.76210568032959,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.76210568032959,"endHours":17.76210568032959,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.76210568032959,"endHours":18.76210568032959,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.76210568032959,"endHours":19.76210568032959,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.76210568032959,"endHours":20.76210568032959,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.76210568032959,"endHours":21.76210568032959,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.76210568032959,"endHours":22.76210568032959,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.76210568032959,"endHours":23.76210568032959,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.76210568032959,"endHours":24.76210568032959,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.76210568032959,"endHours":25.76210568032959,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.76210568032959,"endHours":26.76210568032959,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.76210568032959,"endHours":27.76210568032959,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.76210568032959,"endHours":28.76210568032959,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.76210568032959,"endHours":29.76210568032959,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.76210568032959,"endHours":30.76210568032959,"planetary_lord":"Sun"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.42108627668609,"eotMinutes":1.851917522468745,"ayanamsa":26.3111}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"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}],"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 20, 2175 CE · Ayodhyā · Vidhyamitra","description":"December 20, 2175 CE for Ayodhyā: Śukla Saptamī, sūryodaya 06:46, sūryāsta 17:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2175-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2175-12-20","sa":"https://sa.vidhyamitra.com/city/ayodhya/2175-12-20","hi":"https://hi.vidhyamitra.com/city/ayodhya/2175-12-20","x-default":"https://vidhyamitra.com/city/ayodhya/2175-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T02:47:18.098Z","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":"2026-05-21T02:47:18.098Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T02:47:18.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}