{"id":"vidhyamitra:city-day:ayodhya:1745-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1745-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1745-12-16","date_display":"December 16, 1745 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":1745,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2358757.770833,"kali_year":4847,"ahargana":1770292.2708,"sun":{"sidereal_longitude":244.238,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":153.0846,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.8466,"elapsed_within_tithi_degrees":4.8466},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":153.0846,"elapsed_within_degrees":6.4179},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.3226},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1745,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2358757.770833,"ahargana":1770292.2708,"kali_year":4847,"ayanamsa_lahiri":20.3042,"grahas":{"sun":{"sidereal_longitude":243.98026500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":152.08786499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":0.6499},"mars":{"sidereal_longitude":285.0817649999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":260.642165,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":224.859465,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":221.560565,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":175.68086500000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":341.3962,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":161.3962,"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":1745,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2358757.770833,"kali_year":4847,"ahargana":1770292.2708,"sun":{"sidereal_longitude":244.238,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":153.0846,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.8466,"elapsed_within_tithi_degrees":4.8466},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":153.0846,"elapsed_within_degrees":6.4179},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.3226},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.65,"elongation":91.153},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.65,"opposition_distance":88.847}},"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":"06:44","sunsetLocal":"17:11","solarNoonLocal":"11:57","dayLengthHours":10.462222834254597,"dayLengthDisplay":"10 Hours 27 Mins 44 Secs","nightLengthDisplay":"13 Hours 32 Mins 16 Secs","moonriseLocal":"23:41","moonsetLocal":"11:59","rahuKala":{"name":"Rāhu Kāla","start":"13:16","end":"14:34","startHours":13.265562573828948,"endHours":14.573340428110773,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:44","end":"08:02","startHours":6.726673302419826,"endHours":8.03445115670165,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:21","end":"10:39","startHours":9.342229010983475,"endHours":10.6500068652653,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:31","startHours":9.167858630412566,"endHours":9.516599391554385,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:10","end":"07:26","startHours":7.162599253847101,"endHours":7.441591862760557,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:18","startHours":11.609043958405305,"endHours":12.306525480688943,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:02","startHours":5.331710257852547,"endHours":6.029191780136186,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:44","startHours":5.854821399565276,"endHours":6.726673302419826,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:24","startHours":13.701488525256224,"endHours":14.398970047539864,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.988896136674423,"endHours":17.388896136674422,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:37","startHours":17.188896136674423,"endHours":17.6248220881017,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.938896136674423,"endHours":18.688896136674423,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:18","startHours":23.609043958405305,"endHours":24.306525480688943,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:44","end":"08:02","startHours":6.726673302419826,"endHours":8.03445115670165,"quality":"auspicious"},{"name":"Roga","start":"08:02","end":"09:21","startHours":8.03445115670165,"endHours":9.342229010983475,"quality":"inauspicious"},{"name":"Udveg","start":"09:21","end":"10:39","startHours":9.342229010983475,"endHours":10.6500068652653,"quality":"inauspicious"},{"name":"Chala","start":"10:39","end":"11:57","startHours":10.6500068652653,"endHours":11.957784719547124,"quality":"neutral"},{"name":"Labha","start":"11:57","end":"13:16","startHours":11.957784719547124,"endHours":13.265562573828948,"quality":"auspicious"},{"name":"Amṛta","start":"13:16","end":"14:34","startHours":13.265562573828948,"endHours":14.573340428110773,"quality":"auspicious"},{"name":"Kāla","start":"14:34","end":"15:53","startHours":14.573340428110773,"endHours":15.881118282392599,"quality":"inauspicious"},{"name":"Śubha","start":"15:53","end":"17:11","startHours":15.881118282392599,"endHours":17.188896136674423,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:11","end":"18:53","startHours":17.188896136674423,"endHours":18.8811182823926,"quality":"auspicious"},{"name":"Kāla","start":"18:53","end":"20:34","startHours":18.8811182823926,"endHours":20.573340428110775,"quality":"inauspicious"},{"name":"Śubha","start":"20:34","end":"22:16","startHours":20.573340428110775,"endHours":22.265562573828948,"quality":"auspicious"},{"name":"Roga","start":"22:16","end":"23:57","startHours":22.265562573828948,"endHours":23.957784719547124,"quality":"inauspicious"},{"name":"Udveg","start":"23:57","end":"01:39","startHours":23.957784719547124,"endHours":25.6500068652653,"quality":"inauspicious"},{"name":"Chala","start":"01:39","end":"03:21","startHours":25.6500068652653,"endHours":27.342229010983473,"quality":"neutral"},{"name":"Labha","start":"03:21","end":"05:02","startHours":27.342229010983473,"endHours":29.03445115670165,"quality":"auspicious"},{"name":"Amṛta","start":"05:02","end":"06:44","startHours":29.03445115670165,"endHours":30.726673302419826,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:44","end":"07:44","startHours":6.726673302419826,"endHours":7.726673302419826,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:44","end":"08:44","startHours":7.726673302419826,"endHours":8.726673302419826,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:44","end":"09:44","startHours":8.726673302419826,"endHours":9.726673302419826,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:44","end":"10:44","startHours":9.726673302419826,"endHours":10.726673302419826,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:44","end":"11:44","startHours":10.726673302419826,"endHours":11.726673302419826,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:44","end":"12:44","startHours":11.726673302419826,"endHours":12.726673302419826,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:44","end":"13:44","startHours":12.726673302419826,"endHours":13.726673302419826,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:44","end":"14:44","startHours":13.726673302419826,"endHours":14.726673302419826,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:44","end":"15:44","startHours":14.726673302419826,"endHours":15.726673302419826,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:44","end":"16:44","startHours":15.726673302419826,"endHours":16.726673302419826,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:44","end":"17:44","startHours":16.726673302419826,"endHours":17.726673302419826,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:44","end":"18:44","startHours":17.726673302419826,"endHours":18.726673302419826,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:44","end":"19:44","startHours":18.726673302419826,"endHours":19.726673302419826,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:44","end":"20:44","startHours":19.726673302419826,"endHours":20.726673302419826,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:44","end":"21:44","startHours":20.726673302419826,"endHours":21.726673302419826,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:44","end":"22:44","startHours":21.726673302419826,"endHours":22.726673302419826,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:44","end":"23:44","startHours":22.726673302419826,"endHours":23.726673302419826,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:44","end":"00:44","startHours":23.726673302419826,"endHours":24.726673302419826,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:44","end":"01:44","startHours":24.726673302419826,"endHours":25.726673302419826,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:44","end":"02:44","startHours":25.726673302419826,"endHours":26.726673302419826,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:44","end":"03:44","startHours":26.726673302419826,"endHours":27.726673302419826,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:44","end":"04:44","startHours":27.726673302419826,"endHours":28.726673302419826,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:44","end":"05:44","startHours":28.726673302419826,"endHours":29.726673302419826,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:44","end":"06:44","startHours":29.726673302419826,"endHours":30.726673302419826,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.313080757015783,"eotMinutes":3.716916827172506,"ayanamsa":20.3042}},"calendars":{"vikram_samvat":1802,"vikram_samvatsara":"Bahudhānya","saka_samvat":1667,"saka_samvatsara":"Krodhana","bengali_samvat":1152,"malayalam_era":921,"nanakshahi_year":276,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 1802 Bahudhānya · Śaka 1667 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 16, 1745 CE · Ayodhyā · Vidhyamitra","description":"December 16, 1745 CE for Ayodhyā: Kṛṣṇa Aṣṭamī, sūryodaya 06:44, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1745-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1745-12-16","sa":"https://sa.vidhyamitra.com/city/ayodhya/1745-12-16","hi":"https://hi.vidhyamitra.com/city/ayodhya/1745-12-16","x-default":"https://vidhyamitra.com/city/ayodhya/1745-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:24:19.883Z","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":"2026-05-31T00:24:19.883Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:24:19.883Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}