{"id":"vidhyamitra:city-day:ranchi:2169-11-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2169-11-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-11-01","date_display":"November 1, 2169 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":2169,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513575.770833,"kali_year":5271,"ahargana":1925110.2708,"sun":{"sidereal_longitude":191.6391,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":327.4151,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.776,"elapsed_within_tithi_degrees":3.776},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.4151,"elapsed_within_degrees":7.4151},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.0542},"karana":{"half_tithi_index":22,"name":"Bava"},"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":2169,"month":11,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513575.770833,"ahargana":1925110.2708,"kali_year":5271,"ayanamsa_lahiri":26.2254,"grahas":{"sun":{"sidereal_longitude":192.74217899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":329.42887900000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":-4.4993},"mars":{"sidereal_longitude":119.12367900000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":210.94787900000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":134.70677899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":184.99177899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":289.9567790000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":58.3936,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.3936,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2169,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513575.770833,"kali_year":5271,"ahargana":1925110.2708,"sun":{"sidereal_longitude":191.6391,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":327.4151,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.776,"elapsed_within_tithi_degrees":3.776},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.4151,"elapsed_within_degrees":7.4151},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.0542},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.499,"elongation":135.776},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.499,"opposition_distance":44.224}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:54","sunsetLocal":"17:10","solarNoonLocal":"11:32","dayLengthHours":11.272086046521224,"dayLengthDisplay":"11 Hours 16 Mins 20 Secs","nightLengthDisplay":"12 Hours 43 Mins 40 Secs","moonriseLocal":"14:40","moonsetLocal":"02:39","rahuKala":{"name":"Rāhu Kāla","start":"11:32","end":"12:57","startHours":11.538656118045115,"endHours":12.947666873860268,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:19","end":"08:43","startHours":7.3116238505996565,"endHours":8.720634606414809,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:08","end":"11:32","startHours":10.129645362229962,"endHours":11.538656118045115,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:55","startHours":8.532766505639456,"endHours":8.908502707190163,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:40","startHours":6.372283346722888,"endHours":6.672872307963454,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:55","startHours":11.162919916494408,"endHours":11.914392319595821,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:09","startHours":4.399668288581673,"endHours":5.151140691683088,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"05:54","startHours":4.963272590907735,"endHours":5.9026130947845035,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:25","end":"14:10","startHours":13.417337125798653,"endHours":14.168809528900068,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.974699141305727,"endHours":17.374699141305726,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:39","startHours":17.174699141305727,"endHours":17.644369393244112,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.924699141305727,"endHours":18.674699141305727,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:55","startHours":23.162919916494406,"endHours":23.914392319595823,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:54","end":"07:19","startHours":5.9026130947845035,"endHours":7.3116238505996565,"quality":"auspicious"},{"name":"Amṛta","start":"07:19","end":"08:43","startHours":7.3116238505996565,"endHours":8.720634606414809,"quality":"auspicious"},{"name":"Kāla","start":"08:43","end":"10:08","startHours":8.720634606414809,"endHours":10.129645362229962,"quality":"inauspicious"},{"name":"Śubha","start":"10:08","end":"11:32","startHours":10.129645362229962,"endHours":11.538656118045115,"quality":"auspicious"},{"name":"Roga","start":"11:32","end":"12:57","startHours":11.538656118045115,"endHours":12.947666873860268,"quality":"inauspicious"},{"name":"Udveg","start":"12:57","end":"14:21","startHours":12.947666873860268,"endHours":14.35667762967542,"quality":"inauspicious"},{"name":"Chala","start":"14:21","end":"15:46","startHours":14.35667762967542,"endHours":15.765688385490574,"quality":"neutral"},{"name":"Labha","start":"15:46","end":"17:10","startHours":15.765688385490574,"endHours":17.174699141305727,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:10","end":"18:46","startHours":17.174699141305727,"endHours":18.765688385490574,"quality":"inauspicious"},{"name":"Chala","start":"18:46","end":"20:21","startHours":18.765688385490574,"endHours":20.35667762967542,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:57","startHours":20.35667762967542,"endHours":21.947666873860268,"quality":"auspicious"},{"name":"Amṛta","start":"21:57","end":"23:32","startHours":21.947666873860268,"endHours":23.538656118045115,"quality":"auspicious"},{"name":"Kāla","start":"23:32","end":"01:08","startHours":23.538656118045115,"endHours":25.12964536222996,"quality":"inauspicious"},{"name":"Śubha","start":"01:08","end":"02:43","startHours":25.12964536222996,"endHours":26.72063460641481,"quality":"auspicious"},{"name":"Roga","start":"02:43","end":"04:19","startHours":26.72063460641481,"endHours":28.311623850599656,"quality":"inauspicious"},{"name":"Udveg","start":"04:19","end":"05:54","startHours":28.311623850599656,"endHours":29.902613094784503,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.9026130947845035,"endHours":6.9026130947845035,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.9026130947845035,"endHours":7.9026130947845035,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.9026130947845035,"endHours":8.902613094784503,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.902613094784503,"endHours":9.902613094784503,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.902613094784503,"endHours":10.902613094784503,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.902613094784503,"endHours":11.902613094784503,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.902613094784503,"endHours":12.902613094784503,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.902613094784503,"endHours":13.902613094784503,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.902613094784503,"endHours":14.902613094784503,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.902613094784503,"endHours":15.902613094784503,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.902613094784503,"endHours":16.902613094784503,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.902613094784503,"endHours":17.902613094784503,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.902613094784503,"endHours":18.902613094784503,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.902613094784503,"endHours":19.902613094784503,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.902613094784503,"endHours":20.902613094784503,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.902613094784503,"endHours":21.902613094784503,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.902613094784503,"endHours":22.902613094784503,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.902613094784503,"endHours":23.902613094784503,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.902613094784503,"endHours":24.902613094784503,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.902613094784503,"endHours":25.902613094784503,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.902613094784503,"endHours":26.902613094784503,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.902613094784503,"endHours":27.902613094784503,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.902613094784503,"endHours":28.902613094784503,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.902613094784503,"endHours":29.902613094784503,"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"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.484980463086256,"eotMinutes":16.442232917293087,"ayanamsa":26.2254}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga November 1, 2169 CE · Ranchi, Jharkhand · Vidhyamitra","description":"November 1, 2169 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 05:54, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2169-11-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2169-11-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2169-11-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2169-11-01","x-default":"https://vidhyamitra.com/city/ranchi/2169-11-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:21:40.451Z","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":"2026-06-03T04:21:40.451Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:21:40.451Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}