{"id":"vidhyamitra:city-day:ranchi:2104-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2104-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-08-20","date_display":"August 20, 2104 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":2104,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489761.770833,"kali_year":5206,"ahargana":1901296.2708,"sun":{"sidereal_longitude":121.0052,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":114.5446,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.5394,"elapsed_within_tithi_degrees":5.5394},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.5446,"elapsed_within_degrees":7.878},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.5498},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2104,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489761.770833,"ahargana":1901296.2708,"kali_year":5206,"ayanamsa_lahiri":25.3146,"grahas":{"sun":{"sidereal_longitude":121.88894899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":113.88944900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":-3.6563},"mars":{"sidereal_longitude":162.40634899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":101.835849,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":300.99294899999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":146.79194900000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.540349,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":240.1739,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":60.1739,"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":2104,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489761.770833,"kali_year":5206,"ahargana":1901296.2708,"sun":{"sidereal_longitude":121.0052,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":114.5446,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.5394,"elapsed_within_tithi_degrees":5.5394},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.5446,"elapsed_within_degrees":7.878},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.5498},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.656,"elongation":6.461},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.656,"opposition_distance":173.539}},"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":"05:26","sunsetLocal":"18:17","solarNoonLocal":"11:52","dayLengthHours":12.853018944251815,"dayLengthDisplay":"12 Hours 51 Mins 11 Secs","nightLengthDisplay":"11 Hours 08 Mins 49 Secs","moonriseLocal":"04:50","moonsetLocal":"17:49","rahuKala":{"name":"Rāhu Kāla","start":"11:52","end":"13:28","startHours":11.863526848508837,"endHours":13.470154216540312,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:39","startHours":7.043644744414405,"endHours":8.650272112445883,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:15","end":"11:52","startHours":10.256899480477358,"endHours":11.863526848508837,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.436055130041686,"endHours":8.864489094850079,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:19","startHours":5.97255983239342,"endHours":6.315307004240135,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:18","startHours":11.435092883700444,"endHours":12.29196081331723,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:35","startHours":3.7232815171493527,"endHours":4.580149446766141,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:26","startHours":4.3659324643619435,"endHours":5.437017376382928,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:52","startHours":14.005696672550805,"endHours":14.862564602167593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.090036320634745,"endHours":18.490036320634744,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:50","startHours":18.290036320634744,"endHours":18.825578776645237,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.040036320634744,"endHours":19.790036320634744,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:18","startHours":23.43509288370044,"endHours":24.291960813317232,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:26","end":"07:03","startHours":5.437017376382928,"endHours":7.043644744414405,"quality":"auspicious"},{"name":"Amṛta","start":"07:03","end":"08:39","startHours":7.043644744414405,"endHours":8.650272112445883,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"10:15","startHours":8.650272112445883,"endHours":10.256899480477358,"quality":"inauspicious"},{"name":"Śubha","start":"10:15","end":"11:52","startHours":10.256899480477358,"endHours":11.863526848508837,"quality":"auspicious"},{"name":"Roga","start":"11:52","end":"13:28","startHours":11.863526848508837,"endHours":13.470154216540312,"quality":"inauspicious"},{"name":"Udveg","start":"13:28","end":"15:05","startHours":13.470154216540312,"endHours":15.07678158457179,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:41","startHours":15.07678158457179,"endHours":16.683408952603266,"quality":"neutral"},{"name":"Labha","start":"16:41","end":"18:17","startHours":16.683408952603266,"endHours":18.290036320634744,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:17","end":"19:41","startHours":18.290036320634744,"endHours":19.683408952603266,"quality":"inauspicious"},{"name":"Chala","start":"19:41","end":"21:05","startHours":19.683408952603266,"endHours":21.07678158457179,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:28","startHours":21.07678158457179,"endHours":22.470154216540315,"quality":"auspicious"},{"name":"Amṛta","start":"22:28","end":"23:52","startHours":22.470154216540315,"endHours":23.863526848508837,"quality":"auspicious"},{"name":"Kāla","start":"23:52","end":"01:15","startHours":23.863526848508837,"endHours":25.256899480477358,"quality":"inauspicious"},{"name":"Śubha","start":"01:15","end":"02:39","startHours":25.256899480477358,"endHours":26.650272112445883,"quality":"auspicious"},{"name":"Roga","start":"02:39","end":"04:03","startHours":26.650272112445883,"endHours":28.043644744414408,"quality":"inauspicious"},{"name":"Udveg","start":"04:03","end":"05:26","startHours":28.043644744414408,"endHours":29.43701737638293,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.437017376382928,"endHours":6.437017376382928,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.437017376382928,"endHours":7.437017376382928,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.437017376382928,"endHours":8.43701737638293,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.43701737638293,"endHours":9.43701737638293,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.43701737638293,"endHours":10.43701737638293,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.43701737638293,"endHours":11.43701737638293,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.43701737638293,"endHours":12.43701737638293,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.43701737638293,"endHours":13.43701737638293,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.43701737638293,"endHours":14.43701737638293,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.43701737638293,"endHours":15.43701737638293,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.43701737638293,"endHours":16.43701737638293,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.43701737638293,"endHours":17.43701737638293,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.43701737638293,"endHours":18.43701737638293,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.43701737638293,"endHours":19.43701737638293,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.43701737638293,"endHours":20.43701737638293,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.43701737638293,"endHours":21.43701737638293,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.43701737638293,"endHours":22.43701737638293,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.43701737638293,"endHours":23.43701737638293,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.43701737638293,"endHours":24.43701737638293,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.43701737638293,"endHours":25.43701737638293,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.43701737638293,"endHours":26.43701737638293,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.43701737638293,"endHours":27.43701737638293,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.43701737638293,"endHours":28.43701737638293,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.43701737638293,"endHours":29.43701737638293,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.441003916032816,"eotMinutes":-3.0500109105302213,"ayanamsa":25.3146}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"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 August 20, 2104 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 20, 2104 CE for Ranchi, Jharkhand: Kṛṣṇa Amāvasyā, sūryodaya 05:26, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2104-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2104-08-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2104-08-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2104-08-20","x-default":"https://vidhyamitra.com/city/ranchi/2104-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T16:41:32.428Z","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":"2026-06-01T16:41:32.428Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T16:41:32.428Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}