{"id":"vidhyamitra:city-day:ranchi:1850-08-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1850-08-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-08-06","date_display":"August 6, 1850 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":1850,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396975.770833,"kali_year":4952,"ahargana":1808510.2708,"sun":{"sidereal_longitude":111.1919,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":86.3531,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.1611,"elapsed_within_tithi_degrees":11.1611},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.3531,"elapsed_within_degrees":6.3531},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.545},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1850,"month":8,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396975.770833,"ahargana":1808510.2708,"kali_year":4952,"ayanamsa_lahiri":21.7659,"grahas":{"sun":{"sidereal_longitude":111.40725600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":84.97805599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":-2.253},"mars":{"sidereal_longitude":149.31405600000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":119.40025600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":152.927956,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":152.27615600000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":0.9975559999999746,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":116.4227,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":296.4227,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"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":1850,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396975.770833,"kali_year":4952,"ahargana":1808510.2708,"sun":{"sidereal_longitude":111.1919,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":86.3531,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.1611,"elapsed_within_tithi_degrees":11.1611},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.3531,"elapsed_within_degrees":6.3531},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.545},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.253,"elongation":24.839},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.253,"opposition_distance":155.161}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.079,"elongation":2.21},{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":-1.111,"opposition_distance":2.372}]},"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":"05:20","sunsetLocal":"18:28","solarNoonLocal":"11:54","dayLengthHours":13.129819804464253,"dayLengthDisplay":"13 Hours 07 Mins 47 Secs","nightLengthDisplay":"10 Hours 52 Mins 13 Secs","moonriseLocal":"03:25","moonsetLocal":"16:52","rahuKala":{"name":"Rāhu Kāla","start":"15:11","end":"16:50","startHours":15.188353703266488,"endHours":16.82958117882452,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:37","end":"10:16","startHours":8.623443801034362,"endHours":10.264671276592393,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:33","startHours":11.905898752150424,"endHours":13.547126227708457,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:51","startHours":8.404613470959958,"endHours":8.842274131108766,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:14","startHours":5.888064675104309,"endHours":6.238193203223356,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.468238092001618,"endHours":12.343559412299234,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:28","startHours":3.590346209323065,"endHours":4.465667529620681,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:20","startHours":4.2468371995462775,"endHours":5.340988849918299,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:58","startHours":14.094202052894468,"endHours":14.969523373192086,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.270808654382552,"endHours":18.67080865438255,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"19:01","startHours":18.47080865438255,"endHours":19.01788447956856,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.22080865438255,"endHours":19.97080865438255,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.46823809200162,"endHours":24.343559412299236,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:20","end":"06:59","startHours":5.340988849918299,"endHours":6.9822163254763305,"quality":"inauspicious"},{"name":"Udveg","start":"06:59","end":"08:37","startHours":6.9822163254763305,"endHours":8.623443801034362,"quality":"inauspicious"},{"name":"Chala","start":"08:37","end":"10:16","startHours":8.623443801034362,"endHours":10.264671276592393,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:54","startHours":10.264671276592393,"endHours":11.905898752150424,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:33","startHours":11.905898752150424,"endHours":13.547126227708457,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"15:11","startHours":13.547126227708457,"endHours":15.188353703266488,"quality":"inauspicious"},{"name":"Śubha","start":"15:11","end":"16:50","startHours":15.188353703266488,"endHours":16.82958117882452,"quality":"auspicious"},{"name":"Roga","start":"16:50","end":"18:28","startHours":16.82958117882452,"endHours":18.47080865438255,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:28","end":"19:50","startHours":18.47080865438255,"endHours":19.82958117882452,"quality":"inauspicious"},{"name":"Śubha","start":"19:50","end":"21:11","startHours":19.82958117882452,"endHours":21.18835370326649,"quality":"auspicious"},{"name":"Roga","start":"21:11","end":"22:33","startHours":21.18835370326649,"endHours":22.547126227708457,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"23:54","startHours":22.547126227708457,"endHours":23.905898752150424,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:16","startHours":23.905898752150424,"endHours":25.264671276592395,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:37","startHours":25.264671276592395,"endHours":26.623443801034362,"quality":"auspicious"},{"name":"Amṛta","start":"02:37","end":"03:59","startHours":26.623443801034362,"endHours":27.98221632547633,"quality":"auspicious"},{"name":"Kāla","start":"03:59","end":"05:20","startHours":27.98221632547633,"endHours":29.340988849918297,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.340988849918299,"endHours":6.340988849918299,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.340988849918299,"endHours":7.340988849918299,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.340988849918299,"endHours":8.340988849918299,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.340988849918299,"endHours":9.340988849918299,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.340988849918299,"endHours":10.340988849918299,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.340988849918299,"endHours":11.340988849918299,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.340988849918299,"endHours":12.340988849918299,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.340988849918299,"endHours":13.340988849918299,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.340988849918299,"endHours":14.340988849918299,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.340988849918299,"endHours":15.340988849918299,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.340988849918299,"endHours":16.340988849918297,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.340988849918297,"endHours":17.340988849918297,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.340988849918297,"endHours":18.340988849918297,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.340988849918297,"endHours":19.340988849918297,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.340988849918297,"endHours":20.340988849918297,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.340988849918297,"endHours":21.340988849918297,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.340988849918297,"endHours":22.340988849918297,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.340988849918297,"endHours":23.340988849918297,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.340988849918297,"endHours":24.340988849918297,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.340988849918297,"endHours":25.340988849918297,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.340988849918297,"endHours":26.340988849918297,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.340988849918297,"endHours":27.340988849918297,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.340988849918297,"endHours":28.340988849918297,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.340988849918297,"endHours":29.340988849918297,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.86166885275937,"eotMinutes":-5.592325129025582,"ayanamsa":21.7659}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 6, 1850 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 6, 1850 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:20, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1850-08-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1850-08-06","sa":"https://sa.vidhyamitra.com/city/ranchi/1850-08-06","hi":"https://hi.vidhyamitra.com/city/ranchi/1850-08-06","x-default":"https://vidhyamitra.com/city/ranchi/1850-08-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T19:30:48.131Z","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":"2026-06-03T19:30:48.131Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T19:30:48.131Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}