{"id":"vidhyamitra:city-day:ranchi:2176-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2176-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-10-20","date_display":"October 20, 2176 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":2176,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516120.770833,"kali_year":5278,"ahargana":1927655.2708,"sun":{"sidereal_longitude":179.8413,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":20.5966,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.7553,"elapsed_within_tithi_degrees":8.7553},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.5966,"elapsed_within_degrees":7.2633},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.4379},"karana":{"half_tithi_index":33,"name":"Gara"},"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":2176,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516120.770833,"ahargana":1927655.2708,"kali_year":5278,"ayanamsa_lahiri":26.3228,"grahas":{"sun":{"sidereal_longitude":180.998241,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":24.11454100000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.4659},"mars":{"sidereal_longitude":291.1646410000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":198.069341,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":325.722041,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":222.38424099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":24.247840999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":283.5472,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":103.5472,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2176,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516120.770833,"kali_year":5278,"ahargana":1927655.2708,"sun":{"sidereal_longitude":179.8413,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":20.5966,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.7553,"elapsed_within_tithi_degrees":8.7553},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.5966,"elapsed_within_degrees":7.2633},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.4379},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.466,"elongation":159.245},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.466,"opposition_distance":20.755}},"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":"05:48","sunsetLocal":"17:18","solarNoonLocal":"11:33","dayLengthHours":11.510538659402833,"dayLengthDisplay":"11 Hours 30 Mins 38 Secs","nightLengthDisplay":"12 Hours 29 Mins 22 Secs","moonriseLocal":"18:31","moonsetLocal":"07:40","rahuKala":{"name":"Rāhu Kāla","start":"15:52","end":"17:18","startHours":15.867530809872207,"endHours":17.306348142297562,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:33","end":"12:59","startHours":11.551078812596145,"endHours":12.989896145021499,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:26","end":"15:52","startHours":14.428713477446852,"endHours":15.867530809872207,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:29","end":"08:52","startHours":8.481601836755388,"endHours":8.865286458735483,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:35","startHours":6.275415260369846,"endHours":6.582362957953922,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:56","startHours":11.16739419061605,"endHours":11.93476343457624,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:02","startHours":4.26107099497435,"endHours":5.0284402389345395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:48","startHours":4.836597927944492,"endHours":5.795809482894728,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:28","end":"14:14","startHours":13.469501922496617,"endHours":14.236871166456806,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.106348142297563,"endHours":17.50634814229756,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:47","startHours":17.306348142297562,"endHours":17.78595391977268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.056348142297562,"endHours":18.806348142297562,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:56","startHours":23.16739419061605,"endHours":23.93476343457624,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:48","end":"07:14","startHours":5.795809482894728,"endHours":7.234626815320082,"quality":"inauspicious"},{"name":"Chala","start":"07:14","end":"08:40","startHours":7.234626815320082,"endHours":8.673444147745435,"quality":"neutral"},{"name":"Labha","start":"08:40","end":"10:07","startHours":8.673444147745435,"endHours":10.11226148017079,"quality":"auspicious"},{"name":"Amṛta","start":"10:07","end":"11:33","startHours":10.11226148017079,"endHours":11.551078812596145,"quality":"auspicious"},{"name":"Kāla","start":"11:33","end":"12:59","startHours":11.551078812596145,"endHours":12.989896145021499,"quality":"inauspicious"},{"name":"Śubha","start":"12:59","end":"14:26","startHours":12.989896145021499,"endHours":14.428713477446852,"quality":"auspicious"},{"name":"Roga","start":"14:26","end":"15:52","startHours":14.428713477446852,"endHours":15.867530809872207,"quality":"inauspicious"},{"name":"Udveg","start":"15:52","end":"17:18","startHours":15.867530809872207,"endHours":17.306348142297562,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:18","end":"18:52","startHours":17.306348142297562,"endHours":18.867530809872207,"quality":"auspicious"},{"name":"Roga","start":"18:52","end":"20:26","startHours":18.867530809872207,"endHours":20.428713477446856,"quality":"inauspicious"},{"name":"Udveg","start":"20:26","end":"21:59","startHours":20.428713477446856,"endHours":21.9898961450215,"quality":"inauspicious"},{"name":"Chala","start":"21:59","end":"23:33","startHours":21.9898961450215,"endHours":23.551078812596145,"quality":"neutral"},{"name":"Labha","start":"23:33","end":"01:07","startHours":23.551078812596145,"endHours":25.11226148017079,"quality":"auspicious"},{"name":"Amṛta","start":"01:07","end":"02:40","startHours":25.11226148017079,"endHours":26.673444147745435,"quality":"auspicious"},{"name":"Kāla","start":"02:40","end":"04:14","startHours":26.673444147745435,"endHours":28.234626815320084,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"05:48","startHours":28.234626815320084,"endHours":29.79580948289473,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.795809482894728,"endHours":6.795809482894728,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.795809482894728,"endHours":7.795809482894728,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.795809482894728,"endHours":8.795809482894729,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.795809482894729,"endHours":9.795809482894729,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.795809482894729,"endHours":10.795809482894729,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.795809482894729,"endHours":11.795809482894729,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.795809482894729,"endHours":12.795809482894729,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.795809482894729,"endHours":13.795809482894729,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.795809482894729,"endHours":14.795809482894729,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.795809482894729,"endHours":15.795809482894729,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.795809482894729,"endHours":16.79580948289473,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.79580948289473,"endHours":17.79580948289473,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.79580948289473,"endHours":18.79580948289473,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.79580948289473,"endHours":19.79580948289473,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.79580948289473,"endHours":20.79580948289473,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.79580948289473,"endHours":21.79580948289473,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.79580948289473,"endHours":22.79580948289473,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.79580948289473,"endHours":23.79580948289473,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.79580948289473,"endHours":24.79580948289473,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.79580948289473,"endHours":25.79580948289473,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.79580948289473,"endHours":26.79580948289473,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.79580948289473,"endHours":27.79580948289473,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.79580948289473,"endHours":28.79580948289473,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.79580948289473,"endHours":29.79580948289473,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.518301931661343,"eotMinutes":15.696871244231174,"ayanamsa":26.3228}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Dvitīyā · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 20, 2176 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 20, 2176 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 05:48, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2176-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2176-10-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2176-10-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2176-10-20","x-default":"https://vidhyamitra.com/city/ranchi/2176-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T10:54:08.576Z","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":"2026-06-03T10:54:08.576Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T10:54:08.576Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}