{"id":"vidhyamitra:city-day:ranchi:1902-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1902-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-08-21","date_display":"August 21, 1902 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":1902,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415982.770833,"kali_year":5004,"ahargana":1827517.2708,"sun":{"sidereal_longitude":124.1363,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":325.5297,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.3934,"elapsed_within_tithi_degrees":9.3934},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.5297,"elapsed_within_degrees":5.5297},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.666},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1902,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415982.770833,"ahargana":1827517.2708,"kali_year":5004,"ayanamsa_lahiri":22.4929,"grahas":{"sun":{"sidereal_longitude":124.545049,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":325.8528490000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":3.1136},"mars":{"sidereal_longitude":89.552549,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":135.134749,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":289.231049,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"venus":{"sidereal_longitude":100.43064900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":271.059249,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":189.3404,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":9.3404,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1902,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415982.770833,"kali_year":5004,"ahargana":1827517.2708,"sun":{"sidereal_longitude":124.1363,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":325.5297,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.3934,"elapsed_within_tithi_degrees":9.3934},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.5297,"elapsed_within_degrees":5.5297},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.666},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.114,"elongation":158.607},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.114,"opposition_distance":21.393}},"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":12.856487019267526,"dayLengthDisplay":"12 Hours 51 Mins 23 Secs","nightLengthDisplay":"11 Hours 08 Mins 37 Secs","moonriseLocal":"19:22","moonsetLocal":"07:11","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"15:04","startHours":13.466385766008354,"endHours":15.073446643416796,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:26","end":"07:02","startHours":5.431081378966152,"endHours":7.038142256374592,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:15","startHours":8.645203133783033,"endHours":10.252264011191475,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.430928350128575,"endHours":8.859477917437491,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:19","startHours":5.966768338102298,"endHours":6.309607991949433,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:17","startHours":11.430775321290996,"endHours":12.287874455908833,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:34","startHours":3.7168831097304817,"endHours":4.573982244348317,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:26","startHours":4.3597074606938575,"endHours":5.431081378966152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:52","startHours":14.002072725144503,"endHours":14.859171859762338,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.087568398233678,"endHours":18.487568398233677,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:49","startHours":18.287568398233677,"endHours":18.823255357369824,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.037568398233677,"endHours":19.787568398233677,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:17","startHours":23.430775321290998,"endHours":24.28787445590883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:26","end":"07:02","startHours":5.431081378966152,"endHours":7.038142256374592,"quality":"auspicious"},{"name":"Roga","start":"07:02","end":"08:39","startHours":7.038142256374592,"endHours":8.645203133783033,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:15","startHours":8.645203133783033,"endHours":10.252264011191475,"quality":"inauspicious"},{"name":"Chala","start":"10:15","end":"11:52","startHours":10.252264011191475,"endHours":11.859324888599915,"quality":"neutral"},{"name":"Labha","start":"11:52","end":"13:28","startHours":11.859324888599915,"endHours":13.466385766008354,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"15:04","startHours":13.466385766008354,"endHours":15.073446643416796,"quality":"auspicious"},{"name":"Kāla","start":"15:04","end":"16:41","startHours":15.073446643416796,"endHours":16.680507520825238,"quality":"inauspicious"},{"name":"Śubha","start":"16:41","end":"18:17","startHours":16.680507520825238,"endHours":18.287568398233677,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:17","end":"19:41","startHours":18.287568398233677,"endHours":19.680507520825238,"quality":"auspicious"},{"name":"Kāla","start":"19:41","end":"21:04","startHours":19.680507520825238,"endHours":21.073446643416794,"quality":"inauspicious"},{"name":"Śubha","start":"21:04","end":"22:28","startHours":21.073446643416794,"endHours":22.466385766008354,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"23:52","startHours":22.466385766008354,"endHours":23.859324888599915,"quality":"inauspicious"},{"name":"Udveg","start":"23:52","end":"01:15","startHours":23.859324888599915,"endHours":25.252264011191475,"quality":"inauspicious"},{"name":"Chala","start":"01:15","end":"02:39","startHours":25.252264011191475,"endHours":26.645203133783035,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:02","startHours":26.645203133783035,"endHours":28.03814225637459,"quality":"auspicious"},{"name":"Amṛta","start":"04:02","end":"05:26","startHours":28.03814225637459,"endHours":29.43108137896615,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.431081378966152,"endHours":6.431081378966152,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.431081378966152,"endHours":7.431081378966152,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.431081378966152,"endHours":8.431081378966152,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.431081378966152,"endHours":9.431081378966152,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.431081378966152,"endHours":10.431081378966152,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.431081378966152,"endHours":11.431081378966152,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.431081378966152,"endHours":12.431081378966152,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.431081378966152,"endHours":13.431081378966152,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.431081378966152,"endHours":14.431081378966152,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.431081378966152,"endHours":15.431081378966152,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.431081378966152,"endHours":16.43108137896615,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.43108137896615,"endHours":17.43108137896615,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.43108137896615,"endHours":18.43108137896615,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.43108137896615,"endHours":19.43108137896615,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.43108137896615,"endHours":20.43108137896615,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.43108137896615,"endHours":21.43108137896615,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.43108137896615,"endHours":22.43108137896615,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.43108137896615,"endHours":23.43108137896615,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.43108137896615,"endHours":24.43108137896615,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.43108137896615,"endHours":25.43108137896615,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.43108137896615,"endHours":26.43108137896615,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.43108137896615,"endHours":27.43108137896615,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.43108137896615,"endHours":28.43108137896615,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.43108137896615,"endHours":29.43108137896615,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.497654274073037,"eotMinutes":-2.7978933159948465,"ayanamsa":22.4929}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"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 Dvitīyā · Vikram 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 August 21, 1902 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 21, 1902 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 05:26, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1902-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1902-08-21","sa":"https://sa.vidhyamitra.com/city/ranchi/1902-08-21","hi":"https://hi.vidhyamitra.com/city/ranchi/1902-08-21","x-default":"https://vidhyamitra.com/city/ranchi/1902-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:35:53.791Z","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":"2026-06-03T02:35:53.791Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:35:53.791Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}