{"id":"vidhyamitra:city-day:ranchi:1850-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1850-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-10-07","date_display":"October 7, 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":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397037.770833,"kali_year":4952,"ahargana":1808572.2708,"sun":{"sidereal_longitude":171.2677,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":191.2413,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.9735,"elapsed_within_tithi_degrees":7.9735},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.2413,"elapsed_within_degrees":4.5746},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.509},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2397037.770833,"ahargana":1808572.2708,"kali_year":4952,"ayanamsa_lahiri":21.7683,"grahas":{"sun":{"sidereal_longitude":171.64968699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":190.20218699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":4.4032},"mars":{"sidereal_longitude":189.762387,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":177.44178699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":165.87978699999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":220.47038699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":357.912087,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":113.1376,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":293.1376,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1850,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397037.770833,"kali_year":4952,"ahargana":1808572.2708,"sun":{"sidereal_longitude":171.2677,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":191.2413,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.9735,"elapsed_within_tithi_degrees":7.9735},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.2413,"elapsed_within_degrees":4.5746},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.509},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.403,"elongation":19.974},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.403,"opposition_distance":160.026}},"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":"05:41","sunsetLocal":"17:30","solarNoonLocal":"11:36","dayLengthHours":11.815860821522307,"dayLengthDisplay":"11 Hours 48 Mins 57 Secs","nightLengthDisplay":"12 Hours 11 Mins 03 Secs","moonriseLocal":"07:09","moonsetLocal":"18:31","rahuKala":{"name":"Rāhu Kāla","start":"07:10","end":"08:39","startHours":7.165766355112141,"endHours":8.642748957802429,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:07","end":"11:36","startHours":10.119731560492717,"endHours":11.596714163183005,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:04","end":"14:33","startHours":13.073696765873294,"endHours":14.550679368563582,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.445817944110392,"endHours":8.839679971494467,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:30","startHours":6.181111286651949,"endHours":6.49620090855921,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:12","end":"11:59","startHours":11.202852135798928,"endHours":11.990576190567083,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:54","startHours":4.113335642885545,"endHours":4.901059697653699,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:41","startHours":4.7041286839616605,"endHours":5.688783752421853,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:21","startHours":13.56602430010339,"endHours":14.353748354871543,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.30464457394416,"endHours":17.704644573944158,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"18:00","startHours":17.50464457394416,"endHours":17.996972108174255,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.25464457394416,"endHours":19.00464457394416,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:12","end":"23:59","startHours":23.202852135798928,"endHours":23.990576190567083,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:10","startHours":5.688783752421853,"endHours":7.165766355112141,"quality":"auspicious"},{"name":"Kāla","start":"07:10","end":"08:39","startHours":7.165766355112141,"endHours":8.642748957802429,"quality":"inauspicious"},{"name":"Śubha","start":"08:39","end":"10:07","startHours":8.642748957802429,"endHours":10.119731560492717,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:36","startHours":10.119731560492717,"endHours":11.596714163183005,"quality":"inauspicious"},{"name":"Udveg","start":"11:36","end":"13:04","startHours":11.596714163183005,"endHours":13.073696765873294,"quality":"inauspicious"},{"name":"Chala","start":"13:04","end":"14:33","startHours":13.073696765873294,"endHours":14.550679368563582,"quality":"neutral"},{"name":"Labha","start":"14:33","end":"16:02","startHours":14.550679368563582,"endHours":16.02766197125387,"quality":"auspicious"},{"name":"Amṛta","start":"16:02","end":"17:30","startHours":16.02766197125387,"endHours":17.50464457394416,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:30","end":"19:02","startHours":17.50464457394416,"endHours":19.02766197125387,"quality":"neutral"},{"name":"Labha","start":"19:02","end":"20:33","startHours":19.02766197125387,"endHours":20.550679368563582,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"22:04","startHours":20.550679368563582,"endHours":22.073696765873294,"quality":"auspicious"},{"name":"Kāla","start":"22:04","end":"23:36","startHours":22.073696765873294,"endHours":23.596714163183005,"quality":"inauspicious"},{"name":"Śubha","start":"23:36","end":"01:07","startHours":23.596714163183005,"endHours":25.119731560492717,"quality":"auspicious"},{"name":"Roga","start":"01:07","end":"02:39","startHours":25.119731560492717,"endHours":26.64274895780243,"quality":"inauspicious"},{"name":"Udveg","start":"02:39","end":"04:10","startHours":26.64274895780243,"endHours":28.16576635511214,"quality":"inauspicious"},{"name":"Chala","start":"04:10","end":"05:41","startHours":28.16576635511214,"endHours":29.688783752421852,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.688783752421853,"endHours":6.688783752421853,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.688783752421853,"endHours":7.688783752421853,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.688783752421853,"endHours":8.688783752421852,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.688783752421852,"endHours":9.688783752421852,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.688783752421852,"endHours":10.688783752421852,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.688783752421852,"endHours":11.688783752421852,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.688783752421852,"endHours":12.688783752421852,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.688783752421852,"endHours":13.688783752421852,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.688783752421852,"endHours":14.688783752421852,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.688783752421852,"endHours":15.688783752421852,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.688783752421852,"endHours":16.688783752421852,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.688783752421852,"endHours":17.688783752421852,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.688783752421852,"endHours":18.688783752421852,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.688783752421852,"endHours":19.688783752421852,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.688783752421852,"endHours":20.688783752421852,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.688783752421852,"endHours":21.688783752421852,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.688783752421852,"endHours":22.688783752421852,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.688783752421852,"endHours":23.688783752421852,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.688783752421852,"endHours":24.688783752421852,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.688783752421852,"endHours":25.688783752421852,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.688783752421852,"endHours":26.688783752421852,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.688783752421852,"endHours":27.688783752421852,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.688783752421852,"endHours":28.688783752421852,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.688783752421852,"endHours":29.688783752421852,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.295657560809438,"eotMinutes":12.958750209019716,"ayanamsa":21.7683}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvitīyā · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 7, 1850 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 7, 1850 CE for Ranchi, Jharkhand: Śukla Dvitīyā, sūryodaya 05:41, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1850-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1850-10-07","sa":"https://sa.vidhyamitra.com/city/ranchi/1850-10-07","hi":"https://hi.vidhyamitra.com/city/ranchi/1850-10-07","x-default":"https://vidhyamitra.com/city/ranchi/1850-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T02:41:58.394Z","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":"2026-06-04T02:41:58.394Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T02:41:58.394Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}