{"id":"vidhyamitra:city-day:ayodhya:2172-09-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2172-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-09-16","date_display":"September 16, 2172 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":2172,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514625.770833,"kali_year":5274,"ahargana":1926160.2708,"sun":{"sidereal_longitude":146.4568,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":120.0618,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.605,"elapsed_within_tithi_degrees":9.605},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.0618,"elapsed_within_degrees":0.0618},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.5186},"karana":{"half_tithi_index":55,"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":2172,"month":9,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514625.770833,"ahargana":1926160.2708,"kali_year":5274,"ayanamsa_lahiri":26.2656,"grahas":{"sun":{"sidereal_longitude":147.60146099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":121.96966100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":3.9978},"mars":{"sidereal_longitude":215.699161,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":171.43416100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":197.693261,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":110.705061,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":329.92596100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":2.7595,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":182.7595,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514625.770833,"kali_year":5274,"ahargana":1926160.2708,"sun":{"sidereal_longitude":146.4568,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":120.0618,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.605,"elapsed_within_tithi_degrees":9.605},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.0618,"elapsed_within_degrees":0.0618},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.5186},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.998,"elongation":26.395},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.998,"opposition_distance":153.605}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-1.458,"opposition_distance":0.906}]},"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":"05:47","sunsetLocal":"18:04","solarNoonLocal":"11:55","dayLengthHours":12.288724237956401,"dayLengthDisplay":"12 Hours 17 Mins 19 Secs","nightLengthDisplay":"11 Hours 42 Mins 41 Secs","moonriseLocal":"03:45","moonsetLocal":"16:40","rahuKala":{"name":"Rāhu Kāla","start":"11:55","end":"13:27","startHours":11.921928149487854,"endHours":13.458018679232406,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:19","end":"08:51","startHours":7.313656560254205,"endHours":8.849747089998754,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:23","end":"11:55","startHours":10.385837619743306,"endHours":11.921928149487854,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:03","startHours":8.644935019366148,"endHours":9.054559160631362,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:37","startHours":6.289596207091171,"endHours":6.617295520103342,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:20","startHours":11.51230400822264,"endHours":12.331552290753068,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"04:57","startHours":4.1390694654488005,"endHours":4.958317747979228,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:47","startHours":4.753505677346621,"endHours":5.777566030509655,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:47","startHours":13.970048855813921,"endHours":14.789297138344349,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.866290268466056,"endHours":18.266290268466054,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:35","startHours":18.066290268466055,"endHours":18.578320445047574,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.816290268466055,"endHours":19.566290268466055,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:20","startHours":23.512304008222642,"endHours":24.331552290753066,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:47","end":"07:19","startHours":5.777566030509655,"endHours":7.313656560254205,"quality":"auspicious"},{"name":"Amṛta","start":"07:19","end":"08:51","startHours":7.313656560254205,"endHours":8.849747089998754,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:23","startHours":8.849747089998754,"endHours":10.385837619743306,"quality":"inauspicious"},{"name":"Śubha","start":"10:23","end":"11:55","startHours":10.385837619743306,"endHours":11.921928149487854,"quality":"auspicious"},{"name":"Roga","start":"11:55","end":"13:27","startHours":11.921928149487854,"endHours":13.458018679232406,"quality":"inauspicious"},{"name":"Udveg","start":"13:27","end":"15:00","startHours":13.458018679232406,"endHours":14.994109208976955,"quality":"inauspicious"},{"name":"Chala","start":"15:00","end":"16:32","startHours":14.994109208976955,"endHours":16.530199738721507,"quality":"neutral"},{"name":"Labha","start":"16:32","end":"18:04","startHours":16.530199738721507,"endHours":18.066290268466055,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:04","end":"19:32","startHours":18.066290268466055,"endHours":19.530199738721507,"quality":"inauspicious"},{"name":"Chala","start":"19:32","end":"21:00","startHours":19.530199738721507,"endHours":20.994109208976955,"quality":"neutral"},{"name":"Labha","start":"21:00","end":"22:27","startHours":20.994109208976955,"endHours":22.458018679232403,"quality":"auspicious"},{"name":"Amṛta","start":"22:27","end":"23:55","startHours":22.458018679232403,"endHours":23.921928149487854,"quality":"auspicious"},{"name":"Kāla","start":"23:55","end":"01:23","startHours":23.921928149487854,"endHours":25.385837619743306,"quality":"inauspicious"},{"name":"Śubha","start":"01:23","end":"02:51","startHours":25.385837619743306,"endHours":26.849747089998754,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:19","startHours":26.849747089998754,"endHours":28.313656560254202,"quality":"inauspicious"},{"name":"Udveg","start":"04:19","end":"05:47","startHours":28.313656560254202,"endHours":29.777566030509654,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.777566030509655,"endHours":6.777566030509655,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.777566030509655,"endHours":7.777566030509655,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.777566030509655,"endHours":8.777566030509654,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.777566030509654,"endHours":9.777566030509654,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.777566030509654,"endHours":10.777566030509654,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.777566030509654,"endHours":11.777566030509654,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.777566030509654,"endHours":12.777566030509654,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.777566030509654,"endHours":13.777566030509654,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.777566030509654,"endHours":14.777566030509654,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.777566030509654,"endHours":15.777566030509654,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.777566030509654,"endHours":16.777566030509654,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.777566030509654,"endHours":17.777566030509654,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.777566030509654,"endHours":18.777566030509654,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.777566030509654,"endHours":19.777566030509654,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.777566030509654,"endHours":20.777566030509654,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.777566030509654,"endHours":21.777566030509654,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.777566030509654,"endHours":22.777566030509654,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.777566030509654,"endHours":23.777566030509654,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.777566030509654,"endHours":24.777566030509654,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.777566030509654,"endHours":25.777566030509654,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.777566030509654,"endHours":26.777566030509654,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.777566030509654,"endHours":27.777566030509654,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.777566030509654,"endHours":28.777566030509654,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.777566030509654,"endHours":29.777566030509654,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":2.4353468209021383,"eotMinutes":5.868311030728706,"ayanamsa":26.2656}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 September 16, 2172 CE · Ayodhyā · Vidhyamitra","description":"September 16, 2172 CE for Ayodhyā: Kṛṣṇa Trayodaśī, sūryodaya 05:47, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2172-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2172-09-16","sa":"https://sa.vidhyamitra.com/city/ayodhya/2172-09-16","hi":"https://hi.vidhyamitra.com/city/ayodhya/2172-09-16","x-default":"https://vidhyamitra.com/city/ayodhya/2172-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T03:26:00.002Z","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":"2026-05-21T03:26:00.002Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T03:26:00.002Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}