{"id":"vidhyamitra:city-day:ayodhya:1739-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1739-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1739-12-20","date_display":"December 20, 1739 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":1739,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2356569.770833,"kali_year":4841,"ahargana":1768104.2708,"sun":{"sidereal_longitude":247.8876,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":124.8698,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.9822,"elapsed_within_tithi_degrees":8.9822},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.8698,"elapsed_within_degrees":4.8698},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.7574},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":1739,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2356569.770833,"ahargana":1768104.2708,"kali_year":4841,"ayanamsa_lahiri":20.2206,"grahas":{"sun":{"sidereal_longitude":247.585062,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":120.94156199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":2.0792},"mars":{"sidereal_longitude":241.15996199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":270.809262,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":40.696462,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":262.903062,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":95.35756200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":97.327,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.327,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1739,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2356569.770833,"kali_year":4841,"ahargana":1768104.2708,"sun":{"sidereal_longitude":247.8876,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":124.8698,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.9822,"elapsed_within_tithi_degrees":8.9822},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.8698,"elapsed_within_degrees":4.8698},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.7574},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.079,"elongation":123.018},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.079,"opposition_distance":56.982}},"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":10.453750270082685,"dayLengthDisplay":"10 Hours 27 Mins 14 Secs","nightLengthDisplay":"13 Hours 32 Mins 46 Secs","moonriseLocal":"21:00","moonsetLocal":"10:05","rahuKala":{"name":"Rāhu Kāla","start":"15:55","end":"17:13","startHours":15.909024392573198,"endHours":17.215743176333532,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:59","end":"13:18","startHours":11.98886804129219,"endHours":13.295586825052526,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:36","end":"15:55","startHours":14.60230560881286,"endHours":15.909024392573198,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:33","startHours":9.201201302603474,"endHours":9.549659644939563,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:29","startHours":7.19756583417096,"endHours":7.476332508039832,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:20","startHours":11.6404096989561,"endHours":12.337326383628278,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:04","startHours":5.36815953690649,"endHours":6.065076221578669,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:53","end":"06:46","startHours":5.890847050410624,"endHours":6.761992906250848,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:26","startHours":13.731159752972637,"endHours":14.428076437644815,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:01","end":"17:25","startHours":17.015743176333533,"endHours":17.41574317633353,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:13","end":"17:39","startHours":17.215743176333532,"endHours":17.651316104253645,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:58","end":"18:43","startHours":16.965743176333532,"endHours":18.715743176333532,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:20","startHours":23.6404096989561,"endHours":24.33732638362828,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:46","end":"08:04","startHours":6.761992906250848,"endHours":8.068711690011183,"quality":"inauspicious"},{"name":"Chala","start":"08:04","end":"09:23","startHours":8.068711690011183,"endHours":9.37543047377152,"quality":"neutral"},{"name":"Labha","start":"09:23","end":"10:41","startHours":9.37543047377152,"endHours":10.682149257531854,"quality":"auspicious"},{"name":"Amṛta","start":"10:41","end":"11:59","startHours":10.682149257531854,"endHours":11.98886804129219,"quality":"auspicious"},{"name":"Kāla","start":"11:59","end":"13:18","startHours":11.98886804129219,"endHours":13.295586825052526,"quality":"inauspicious"},{"name":"Śubha","start":"13:18","end":"14:36","startHours":13.295586825052526,"endHours":14.60230560881286,"quality":"auspicious"},{"name":"Roga","start":"14:36","end":"15:55","startHours":14.60230560881286,"endHours":15.909024392573198,"quality":"inauspicious"},{"name":"Udveg","start":"15:55","end":"17:13","startHours":15.909024392573198,"endHours":17.215743176333532,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:13","end":"18:55","startHours":17.215743176333532,"endHours":18.909024392573198,"quality":"auspicious"},{"name":"Roga","start":"18:55","end":"20:36","startHours":18.909024392573198,"endHours":20.602305608812863,"quality":"inauspicious"},{"name":"Udveg","start":"20:36","end":"22:18","startHours":20.602305608812863,"endHours":22.295586825052524,"quality":"inauspicious"},{"name":"Chala","start":"22:18","end":"23:59","startHours":22.295586825052524,"endHours":23.98886804129219,"quality":"neutral"},{"name":"Labha","start":"23:59","end":"01:41","startHours":23.98886804129219,"endHours":25.682149257531854,"quality":"auspicious"},{"name":"Amṛta","start":"01:41","end":"03:23","startHours":25.682149257531854,"endHours":27.37543047377152,"quality":"auspicious"},{"name":"Kāla","start":"03:23","end":"05:04","startHours":27.37543047377152,"endHours":29.068711690011185,"quality":"inauspicious"},{"name":"Śubha","start":"05:04","end":"06:46","startHours":29.068711690011185,"endHours":30.761992906250846,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.761992906250848,"endHours":7.761992906250848,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.761992906250848,"endHours":8.761992906250848,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.761992906250848,"endHours":9.761992906250848,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.761992906250848,"endHours":10.761992906250848,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.761992906250848,"endHours":11.761992906250848,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.761992906250848,"endHours":12.761992906250848,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.761992906250848,"endHours":13.761992906250848,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.761992906250848,"endHours":14.761992906250848,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.761992906250848,"endHours":15.761992906250848,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.761992906250848,"endHours":16.761992906250846,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.761992906250846,"endHours":17.761992906250846,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.761992906250846,"endHours":18.761992906250846,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.761992906250846,"endHours":19.761992906250846,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.761992906250846,"endHours":20.761992906250846,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.761992906250846,"endHours":21.761992906250846,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.761992906250846,"endHours":22.761992906250846,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.761992906250846,"endHours":23.761992906250846,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.761992906250846,"endHours":24.761992906250846,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.761992906250846,"endHours":25.761992906250846,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.761992906250846,"endHours":26.761992906250846,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.761992906250846,"endHours":27.761992906250846,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.761992906250846,"endHours":28.761992906250846,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.761992906250846,"endHours":29.761992906250846,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.761992906250846,"endHours":30.761992906250846,"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"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.418288081144045,"eotMinutes":1.851917522468745,"ayanamsa":20.2206}},"calendars":{"vikram_samvat":1796,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1661,"saka_samvatsara":"Siddhārthī","bengali_samvat":1146,"malayalam_era":915,"nanakshahi_year":270,"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 Pañcamī · Vikram 1796 Aṅgirasa · Śaka 1661 Siddhārthī"},"festivals":[],"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 December 20, 1739 CE · Ayodhyā · Vidhyamitra","description":"December 20, 1739 CE for Ayodhyā: Kṛṣṇa Pañcamī, sūryodaya 06:46, sūryāsta 17:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1739-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1739-12-20","sa":"https://sa.vidhyamitra.com/city/ayodhya/1739-12-20","hi":"https://hi.vidhyamitra.com/city/ayodhya/1739-12-20","x-default":"https://vidhyamitra.com/city/ayodhya/1739-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:00:59.068Z","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":"2026-05-31T21:00:59.068Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:00:59.068Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}