{"id":"vidhyamitra:city-day:ranchi:1866-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1866-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1866-10-01","date_display":"October 1, 1866 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":1866,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402875.770833,"kali_year":4968,"ahargana":1814410.2708,"sun":{"sidereal_longitude":165.2106,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":70.188,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.9774,"elapsed_within_tithi_degrees":0.9774},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.188,"elapsed_within_degrees":3.5213},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.3986},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":1866,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402875.770833,"ahargana":1814410.2708,"kali_year":4968,"ayanamsa_lahiri":21.9916,"grahas":{"sun":{"sidereal_longitude":165.63383299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":72.84373299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-4.491},"mars":{"sidereal_longitude":81.38993299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":165.891033,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":272.97773299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":214.14863300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":199.63033300000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":163.8123,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":343.8123,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1866,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402875.770833,"kali_year":4968,"ahargana":1814410.2708,"sun":{"sidereal_longitude":165.2106,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":70.188,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.9774,"elapsed_within_tithi_degrees":0.9774},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.188,"elapsed_within_degrees":3.5213},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.3986},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.491,"elongation":95.023},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.491,"opposition_distance":84.977}},"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":"05:39","sunsetLocal":"17:36","solarNoonLocal":"11:38","dayLengthHours":11.946880529000628,"dayLengthDisplay":"11 Hours 56 Mins 49 Secs","nightLengthDisplay":"12 Hours 03 Mins 11 Secs","moonriseLocal":"22:41","moonsetLocal":"12:12","rahuKala":{"name":"Rāhu Kāla","start":"07:09","end":"08:38","startHours":7.146483731848359,"endHours":8.639843797973437,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:08","end":"11:38","startHours":10.133203864098515,"endHours":11.626563930223593,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:07","end":"14:37","startHours":13.119923996348673,"endHours":14.61328406247375,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:50","startHours":8.440729122490094,"endHours":8.838958473456781,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:28","startHours":6.150910354431639,"endHours":6.4694938352049896,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:14","end":"12:01","startHours":11.228334579256906,"endHours":12.02479328119028,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:51","startHours":4.060206261856529,"endHours":4.856664963789905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:39","startHours":4.657550288306561,"endHours":5.65312366572328,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:25","startHours":13.617710685057032,"endHours":14.414169386990407,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.40000419472391,"endHours":17.800004194723908,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:06","startHours":17.60000419472391,"endHours":18.097790883432268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.35000419472391,"endHours":19.10000419472391,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:14","end":"00:01","startHours":23.228334579256906,"endHours":24.02479328119028,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:39","end":"07:09","startHours":5.65312366572328,"endHours":7.146483731848359,"quality":"auspicious"},{"name":"Kāla","start":"07:09","end":"08:38","startHours":7.146483731848359,"endHours":8.639843797973437,"quality":"inauspicious"},{"name":"Śubha","start":"08:38","end":"10:08","startHours":8.639843797973437,"endHours":10.133203864098515,"quality":"auspicious"},{"name":"Roga","start":"10:08","end":"11:38","startHours":10.133203864098515,"endHours":11.626563930223593,"quality":"inauspicious"},{"name":"Udveg","start":"11:38","end":"13:07","startHours":11.626563930223593,"endHours":13.119923996348673,"quality":"inauspicious"},{"name":"Chala","start":"13:07","end":"14:37","startHours":13.119923996348673,"endHours":14.61328406247375,"quality":"neutral"},{"name":"Labha","start":"14:37","end":"16:06","startHours":14.61328406247375,"endHours":16.10664412859883,"quality":"auspicious"},{"name":"Amṛta","start":"16:06","end":"17:36","startHours":16.10664412859883,"endHours":17.60000419472391,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:36","end":"19:06","startHours":17.60000419472391,"endHours":19.10664412859883,"quality":"neutral"},{"name":"Labha","start":"19:06","end":"20:37","startHours":19.10664412859883,"endHours":20.613284062473753,"quality":"auspicious"},{"name":"Amṛta","start":"20:37","end":"22:07","startHours":20.613284062473753,"endHours":22.119923996348675,"quality":"auspicious"},{"name":"Kāla","start":"22:07","end":"23:38","startHours":22.119923996348675,"endHours":23.626563930223593,"quality":"inauspicious"},{"name":"Śubha","start":"23:38","end":"01:08","startHours":23.626563930223593,"endHours":25.133203864098515,"quality":"auspicious"},{"name":"Roga","start":"01:08","end":"02:38","startHours":25.133203864098515,"endHours":26.639843797973437,"quality":"inauspicious"},{"name":"Udveg","start":"02:38","end":"04:09","startHours":26.639843797973437,"endHours":28.146483731848356,"quality":"inauspicious"},{"name":"Chala","start":"04:09","end":"05:39","startHours":28.146483731848356,"endHours":29.653123665723278,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.65312366572328,"endHours":6.65312366572328,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.65312366572328,"endHours":7.65312366572328,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.65312366572328,"endHours":8.65312366572328,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.65312366572328,"endHours":9.65312366572328,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.65312366572328,"endHours":10.65312366572328,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.65312366572328,"endHours":11.65312366572328,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.65312366572328,"endHours":12.65312366572328,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.65312366572328,"endHours":13.65312366572328,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.65312366572328,"endHours":14.65312366572328,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.65312366572328,"endHours":15.65312366572328,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.65312366572328,"endHours":16.653123665723278,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.653123665723278,"endHours":17.653123665723278,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.653123665723278,"endHours":18.653123665723278,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.653123665723278,"endHours":19.653123665723278,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.653123665723278,"endHours":20.653123665723278,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.653123665723278,"endHours":21.653123665723278,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.653123665723278,"endHours":22.653123665723278,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.653123665723278,"endHours":23.653123665723278,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.653123665723278,"endHours":24.653123665723278,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.653123665723278,"endHours":25.653123665723278,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.653123665723278,"endHours":26.653123665723278,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.653123665723278,"endHours":27.653123665723278,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.653123665723278,"endHours":28.653123665723278,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.653123665723278,"endHours":29.653123665723278,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.025342374808731,"eotMinutes":11.167764186584405,"ayanamsa":21.9916}},"calendars":{"vikram_samvat":1923,"vikram_samvatsara":"Pramāthi","saka_samvat":1788,"saka_samvatsara":"Akṣaya","bengali_samvat":1273,"malayalam_era":1042,"nanakshahi_year":397,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","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 Kṛṣṇa Aṣṭamī · Vikram 1923 Pramāthi · Śaka 1788 Akṣaya"},"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 October 1, 1866 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 1, 1866 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 05:39, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1866-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1866-10-01","sa":"https://sa.vidhyamitra.com/city/ranchi/1866-10-01","hi":"https://hi.vidhyamitra.com/city/ranchi/1866-10-01","x-default":"https://vidhyamitra.com/city/ranchi/1866-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:45:31.113Z","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":"2026-06-02T21:45:31.113Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:45:31.113Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}