{"id":"vidhyamitra:city-day:ayodhya:1713-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1713-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1713-12-18","date_display":"December 18, 1713 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":1713,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2347071.770833,"kali_year":4815,"ahargana":1758606.2708,"sun":{"sidereal_longitude":246.5803,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":250.0402,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.4599,"elapsed_within_tithi_degrees":3.4599},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.0402,"elapsed_within_degrees":10.0402},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.6205},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1713,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2347071.770833,"ahargana":1758606.2708,"kali_year":4815,"ayanamsa_lahiri":19.8573,"grahas":{"sun":{"sidereal_longitude":246.22845600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":251.17645600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":0.7391},"mars":{"sidereal_longitude":283.575156,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":270.387556,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":320.811056,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":222.38115600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":144.99345600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":240.5768,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":60.5768,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"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":1713,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2347071.770833,"kali_year":4815,"ahargana":1758606.2708,"sun":{"sidereal_longitude":246.5803,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":250.0402,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.4599,"elapsed_within_tithi_degrees":3.4599},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.0402,"elapsed_within_degrees":10.0402},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.6205},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.739,"elongation":3.46},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.739,"opposition_distance":176.54}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":0.831,"opposition_distance":0.598}]},"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":"06:45","sunsetLocal":"17:12","solarNoonLocal":"11:58","dayLengthHours":10.456950170105781,"dayLengthDisplay":"10 Hours 27 Mins 25 Secs","nightLengthDisplay":"13 Hours 32 Mins 35 Secs","moonriseLocal":"07:06","moonsetLocal":"17:31","rahuKala":{"name":"Rāhu Kāla","start":"08:03","end":"09:22","startHours":8.051914897074644,"endHours":9.359033668337867,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:40","end":"11:58","startHours":10.66615243960109,"endHours":11.973271210864311,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:17","end":"14:35","startHours":13.280389982127534,"endHours":14.587508753390757,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:32","startHours":9.184751165502771,"endHours":9.533316171172963,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:11","end":"07:28","startHours":7.180502382899163,"endHours":7.459354387435317,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:19","startHours":11.624706205194121,"endHours":12.321836216534505,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:21","end":"06:03","startHours":5.350536103130651,"endHours":6.047666114471037,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:45","startHours":5.87338361163594,"endHours":6.744796125811422,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:25","startHours":13.716096239215275,"endHours":14.413226250555661,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:00","end":"17:24","startHours":17.001746295917204,"endHours":17.401746295917203,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:12","end":"17:38","startHours":17.201746295917204,"endHours":17.637452553004945,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:57","end":"18:42","startHours":16.951746295917204,"endHours":18.701746295917204,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:19","startHours":23.62470620519412,"endHours":24.321836216534503,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:45","end":"08:03","startHours":6.744796125811422,"endHours":8.051914897074644,"quality":"auspicious"},{"name":"Kāla","start":"08:03","end":"09:22","startHours":8.051914897074644,"endHours":9.359033668337867,"quality":"inauspicious"},{"name":"Śubha","start":"09:22","end":"10:40","startHours":9.359033668337867,"endHours":10.66615243960109,"quality":"auspicious"},{"name":"Roga","start":"10:40","end":"11:58","startHours":10.66615243960109,"endHours":11.973271210864311,"quality":"inauspicious"},{"name":"Udveg","start":"11:58","end":"13:17","startHours":11.973271210864311,"endHours":13.280389982127534,"quality":"inauspicious"},{"name":"Chala","start":"13:17","end":"14:35","startHours":13.280389982127534,"endHours":14.587508753390757,"quality":"neutral"},{"name":"Labha","start":"14:35","end":"15:54","startHours":14.587508753390757,"endHours":15.89462752465398,"quality":"auspicious"},{"name":"Amṛta","start":"15:54","end":"17:12","startHours":15.89462752465398,"endHours":17.201746295917204,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:12","end":"18:54","startHours":17.201746295917204,"endHours":18.89462752465398,"quality":"neutral"},{"name":"Labha","start":"18:54","end":"20:35","startHours":18.89462752465398,"endHours":20.587508753390757,"quality":"auspicious"},{"name":"Amṛta","start":"20:35","end":"22:17","startHours":20.587508753390757,"endHours":22.280389982127538,"quality":"auspicious"},{"name":"Kāla","start":"22:17","end":"23:58","startHours":22.280389982127538,"endHours":23.97327121086431,"quality":"inauspicious"},{"name":"Śubha","start":"23:58","end":"01:40","startHours":23.97327121086431,"endHours":25.666152439601092,"quality":"auspicious"},{"name":"Roga","start":"01:40","end":"03:22","startHours":25.666152439601092,"endHours":27.35903366833787,"quality":"inauspicious"},{"name":"Udveg","start":"03:22","end":"05:03","startHours":27.35903366833787,"endHours":29.051914897074646,"quality":"inauspicious"},{"name":"Chala","start":"05:03","end":"06:45","startHours":29.051914897074646,"endHours":30.744796125811423,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.744796125811422,"endHours":7.744796125811422,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.744796125811422,"endHours":8.744796125811423,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.744796125811423,"endHours":9.744796125811423,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.744796125811423,"endHours":10.744796125811423,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.744796125811423,"endHours":11.744796125811423,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.744796125811423,"endHours":12.744796125811423,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.744796125811423,"endHours":13.744796125811423,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.744796125811423,"endHours":14.744796125811423,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.744796125811423,"endHours":15.744796125811423,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.744796125811423,"endHours":16.744796125811423,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.744796125811423,"endHours":17.744796125811423,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.744796125811423,"endHours":18.744796125811423,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.744796125811423,"endHours":19.744796125811423,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.744796125811423,"endHours":20.744796125811423,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.744796125811423,"endHours":21.744796125811423,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.744796125811423,"endHours":22.744796125811423,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.744796125811423,"endHours":23.744796125811423,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.744796125811423,"endHours":24.744796125811423,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.744796125811423,"endHours":25.744796125811423,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.744796125811423,"endHours":26.744796125811423,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.744796125811423,"endHours":27.744796125811423,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.744796125811423,"endHours":28.744796125811423,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.744796125811423,"endHours":29.744796125811423,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.744796125811423,"endHours":30.744796125811423,"planetary_lord":"Venus"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","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":-23.378575346052248,"eotMinutes":2.787727348141232,"ayanamsa":19.8573}},"calendars":{"vikram_samvat":1770,"vikram_samvatsara":"Parābhava","saka_samvat":1635,"saka_samvatsara":"Vijaya","bengali_samvat":1120,"malayalam_era":889,"nanakshahi_year":244,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Pratipada · Vikram 1770 Parābhava · Śaka 1635 Vijaya"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 18, 1713 CE · Ayodhyā · Vidhyamitra","description":"December 18, 1713 CE for Ayodhyā: Śukla Pratipada, sūryodaya 06:45, sūryāsta 17:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1713-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1713-12-18","sa":"https://sa.vidhyamitra.com/city/ayodhya/1713-12-18","hi":"https://hi.vidhyamitra.com/city/ayodhya/1713-12-18","x-default":"https://vidhyamitra.com/city/ayodhya/1713-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:50:59.382Z","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":"2026-06-01T07:50:59.382Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:50:59.382Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}