{"id":"vidhyamitra:city-day:ranchi:1850-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1850-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-08-13","date_display":"August 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396982.770833,"kali_year":4952,"ahargana":1808517.2708,"sun":{"sidereal_longitude":117.8721,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":185.0156,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.1435,"elapsed_within_tithi_degrees":7.1435},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":185.0156,"elapsed_within_degrees":11.6823},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.8878},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396982.770833,"ahargana":1808517.2708,"kali_year":4952,"ayanamsa_lahiri":21.7662,"grahas":{"sun":{"sidereal_longitude":118.12428899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":187.524089,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":4.1995},"mars":{"sidereal_longitude":153.71988899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":132.584989,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":154.27558899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":160.398689,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":0.9232890000000111,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":116.0518,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":296.0518,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396982.770833,"kali_year":4952,"ahargana":1808517.2708,"sun":{"sidereal_longitude":117.8721,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":185.0156,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.1435,"elapsed_within_tithi_degrees":7.1435},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":185.0156,"elapsed_within_degrees":11.6823},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.8878},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.2,"elongation":67.143},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.2,"opposition_distance":112.857}},"eclipse_window_40days":[{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":-0.079,"elongation":2.21},{"offset_days":10,"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":"05:23","sunsetLocal":"18:23","solarNoonLocal":"11:53","dayLengthHours":13.002023814919959,"dayLengthDisplay":"13 Hours 00 Mins 07 Secs","nightLengthDisplay":"10 Hours 59 Mins 53 Secs","moonriseLocal":"10:48","moonsetLocal":"22:14","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:46","startHours":15.139224632700246,"endHours":16.76447760956524,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:38","end":"10:16","startHours":8.638212725240267,"endHours":10.263465702105261,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:31","startHours":11.888718678970257,"endHours":13.513971655835253,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.421512328324933,"endHours":8.8549131221556,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:17","startHours":5.9294577637986094,"endHours":6.276178398863141,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.455317885139591,"endHours":12.322119472800923,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:31","startHours":3.6541035961876167,"endHours":4.520905183848947,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:18","end":"05:23","startHours":4.304204786933615,"endHours":5.3877067715102775,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:55","startHours":14.055722648123583,"endHours":14.922524235784913,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.189730586430237,"endHours":18.589730586430235,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.389730586430236,"endHours":18.931481578718568,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.139730586430236,"endHours":19.889730586430236,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.455317885139593,"endHours":24.32211947280092,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:23","end":"07:01","startHours":5.3877067715102775,"endHours":7.012959748375272,"quality":"inauspicious"},{"name":"Udveg","start":"07:01","end":"08:38","startHours":7.012959748375272,"endHours":8.638212725240267,"quality":"inauspicious"},{"name":"Chala","start":"08:38","end":"10:16","startHours":8.638212725240267,"endHours":10.263465702105261,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:53","startHours":10.263465702105261,"endHours":11.888718678970257,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:31","startHours":11.888718678970257,"endHours":13.513971655835253,"quality":"auspicious"},{"name":"Kāla","start":"13:31","end":"15:08","startHours":13.513971655835253,"endHours":15.139224632700246,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:46","startHours":15.139224632700246,"endHours":16.76447760956524,"quality":"auspicious"},{"name":"Roga","start":"16:46","end":"18:23","startHours":16.76447760956524,"endHours":18.389730586430236,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:46","startHours":18.389730586430236,"endHours":19.76447760956524,"quality":"inauspicious"},{"name":"Śubha","start":"19:46","end":"21:08","startHours":19.76447760956524,"endHours":21.139224632700248,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:31","startHours":21.139224632700248,"endHours":22.513971655835253,"quality":"inauspicious"},{"name":"Udveg","start":"22:31","end":"23:53","startHours":22.513971655835253,"endHours":23.888718678970257,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:16","startHours":23.888718678970257,"endHours":25.26346570210526,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:38","startHours":25.26346570210526,"endHours":26.638212725240265,"quality":"auspicious"},{"name":"Amṛta","start":"02:38","end":"04:01","startHours":26.638212725240265,"endHours":28.012959748375273,"quality":"auspicious"},{"name":"Kāla","start":"04:01","end":"05:23","startHours":28.012959748375273,"endHours":29.387706771510278,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.3877067715102775,"endHours":6.3877067715102775,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.3877067715102775,"endHours":7.3877067715102775,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.3877067715102775,"endHours":8.387706771510278,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.387706771510278,"endHours":9.387706771510278,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.387706771510278,"endHours":10.387706771510278,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.387706771510278,"endHours":11.387706771510278,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.387706771510278,"endHours":12.387706771510278,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.387706771510278,"endHours":13.387706771510278,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.387706771510278,"endHours":14.387706771510278,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.387706771510278,"endHours":15.387706771510278,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.387706771510278,"endHours":16.387706771510278,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.387706771510278,"endHours":17.387706771510278,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.387706771510278,"endHours":18.387706771510278,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.387706771510278,"endHours":19.387706771510278,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.387706771510278,"endHours":20.387706771510278,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.387706771510278,"endHours":21.387706771510278,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.387706771510278,"endHours":22.387706771510278,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.387706771510278,"endHours":23.387706771510278,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.387706771510278,"endHours":24.387706771510278,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.387706771510278,"endHours":25.387706771510278,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.387706771510278,"endHours":26.387706771510278,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.387706771510278,"endHours":27.387706771510278,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.387706771510278,"endHours":28.387706771510278,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.387706771510278,"endHours":29.387706771510278,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.847036373361913,"eotMinutes":-4.561520738215509,"ayanamsa":21.7662}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Ṣaṣṭhī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[{"id":"kalki-jayanti","name":"Kalki Jayantī","name_sanskrit":"कल्कि जयन्ती","tradition":"Vaishnava","associated_deity":"Kalki (10th daśāvatāra of Krishna)","deity_avatara_index":22,"significance":"Future Kalki avatāra — to manifest at end of Kali Yuga; observed Śrāvaṇa Śukla 6.","vrata":false,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Bhāgavata 12.2.18-20","Kalki Purāṇa"]}],"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":[]},"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 13, 1850 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 13, 1850 CE for Ranchi, Jharkhand: Śukla Ṣaṣṭhī, sūryodaya 05:23, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1850-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1850-08-13","sa":"https://sa.vidhyamitra.com/city/ranchi/1850-08-13","hi":"https://hi.vidhyamitra.com/city/ranchi/1850-08-13","x-default":"https://vidhyamitra.com/city/ranchi/1850-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T00:36:03.950Z","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":"2026-06-04T00:36:03.950Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T00:36:03.950Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}