{"id":"vidhyamitra:city-day:ranchi:2162-10-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2162-10-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-10-05","date_display":"October 5, 2162 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":2162,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510991.770833,"kali_year":5264,"ahargana":1922526.2708,"sun":{"sidereal_longitude":164.6281,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":117.1582,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.5301,"elapsed_within_tithi_degrees":0.5301},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.1582,"elapsed_within_degrees":10.4915},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.7862},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":2162,"month":10,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510991.770833,"ahargana":1922526.2708,"kali_year":5264,"ayanamsa_lahiri":26.1266,"grahas":{"sun":{"sidereal_longitude":165.76860699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":116.655307,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":-4.4039},"mars":{"sidereal_longitude":159.03820700000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":163.76190699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":251.644907,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":134.876307,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":212.83710700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":195.3063,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.3063,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2162,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510991.770833,"kali_year":5264,"ahargana":1922526.2708,"sun":{"sidereal_longitude":164.6281,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":117.1582,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.5301,"elapsed_within_tithi_degrees":0.5301},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.1582,"elapsed_within_degrees":10.4915},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.7862},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.404,"elongation":47.47},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.404,"opposition_distance":132.53}},"eclipse_window_40days":[{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":0.902,"opposition_distance":0.32}]},"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":"17:32","solarNoonLocal":"11:36","dayLengthHours":11.850154788156559,"dayLengthDisplay":"11 Hours 51 Mins 01 Secs","nightLengthDisplay":"12 Hours 08 Mins 59 Secs","moonriseLocal":"01:53","moonsetLocal":"14:47","rahuKala":{"name":"Rāhu Kāla","start":"14:34","end":"16:03","startHours":14.56869402603299,"endHours":16.04996337455256,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:39","end":"10:07","startHours":8.64361663195471,"endHours":10.124885980474282,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:36","end":"13:05","startHours":11.60615532899385,"endHours":13.087424677513422,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.446114052152101,"endHours":8.84111921175732,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:29","startHours":6.174834384422095,"endHours":6.4908385121062695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:13","end":"12:00","startHours":11.211150169388631,"endHours":12.00116048859907,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:53","startHours":4.101057296494697,"endHours":4.8910676157051345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:41","startHours":4.693565035902525,"endHours":5.681077934915572,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:35","end":"14:22","startHours":13.581181127019944,"endHours":14.37119144623038,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.33123272307213,"endHours":17.73123272307213,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"18:01","startHours":17.53123272307213,"endHours":18.024989172578653,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.28123272307213,"endHours":19.03123272307213,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:13","end":"00:00","startHours":23.21115016938863,"endHours":24.00116048859907,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:41","end":"07:10","startHours":5.681077934915572,"endHours":7.162347283435142,"quality":"inauspicious"},{"name":"Udveg","start":"07:10","end":"08:39","startHours":7.162347283435142,"endHours":8.64361663195471,"quality":"inauspicious"},{"name":"Chala","start":"08:39","end":"10:07","startHours":8.64361663195471,"endHours":10.124885980474282,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:36","startHours":10.124885980474282,"endHours":11.60615532899385,"quality":"auspicious"},{"name":"Amṛta","start":"11:36","end":"13:05","startHours":11.60615532899385,"endHours":13.087424677513422,"quality":"auspicious"},{"name":"Kāla","start":"13:05","end":"14:34","startHours":13.087424677513422,"endHours":14.56869402603299,"quality":"inauspicious"},{"name":"Śubha","start":"14:34","end":"16:03","startHours":14.56869402603299,"endHours":16.04996337455256,"quality":"auspicious"},{"name":"Roga","start":"16:03","end":"17:32","startHours":16.04996337455256,"endHours":17.53123272307213,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:32","end":"19:03","startHours":17.53123272307213,"endHours":19.04996337455256,"quality":"inauspicious"},{"name":"Śubha","start":"19:03","end":"20:34","startHours":19.04996337455256,"endHours":20.56869402603299,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"22:05","startHours":20.56869402603299,"endHours":22.087424677513418,"quality":"inauspicious"},{"name":"Udveg","start":"22:05","end":"23:36","startHours":22.087424677513418,"endHours":23.60615532899385,"quality":"inauspicious"},{"name":"Chala","start":"23:36","end":"01:07","startHours":23.60615532899385,"endHours":25.124885980474282,"quality":"neutral"},{"name":"Labha","start":"01:07","end":"02:39","startHours":25.124885980474282,"endHours":26.64361663195471,"quality":"auspicious"},{"name":"Amṛta","start":"02:39","end":"04:10","startHours":26.64361663195471,"endHours":28.16234728343514,"quality":"auspicious"},{"name":"Kāla","start":"04:10","end":"05:41","startHours":28.16234728343514,"endHours":29.68107793491557,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.681077934915572,"endHours":6.681077934915572,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.681077934915572,"endHours":7.681077934915572,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.681077934915572,"endHours":8.681077934915571,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.681077934915571,"endHours":9.681077934915571,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.681077934915571,"endHours":10.681077934915571,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.681077934915571,"endHours":11.681077934915571,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.681077934915571,"endHours":12.681077934915571,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.681077934915571,"endHours":13.681077934915571,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.681077934915571,"endHours":14.681077934915571,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.681077934915571,"endHours":15.681077934915571,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.681077934915571,"endHours":16.68107793491557,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.68107793491557,"endHours":17.68107793491557,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.68107793491557,"endHours":18.68107793491557,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.68107793491557,"endHours":19.68107793491557,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.68107793491557,"endHours":20.68107793491557,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.68107793491557,"endHours":21.68107793491557,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.68107793491557,"endHours":22.68107793491557,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.68107793491557,"endHours":23.68107793491557,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.68107793491557,"endHours":24.68107793491557,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.68107793491557,"endHours":25.68107793491557,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.68107793491557,"endHours":26.68107793491557,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.68107793491557,"endHours":27.68107793491557,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.68107793491557,"endHours":28.68107793491557,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.68107793491557,"endHours":29.68107793491557,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","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":-4.702473905119163,"eotMinutes":12.392280260369008,"ayanamsa":26.1266}},"calendars":{"vikram_samvat":2219,"vikram_samvatsara":"Yuva","saka_samvat":2084,"saka_samvatsara":"Dundubhi","bengali_samvat":1569,"malayalam_era":1338,"nanakshahi_year":693,"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 Dvādaśī · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"festivals":[],"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 October 5, 2162 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 5, 2162 CE for Ranchi, Jharkhand: Kṛṣṇa Dvādaśī, sūryodaya 05:41, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2162-10-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2162-10-05","sa":"https://sa.vidhyamitra.com/city/ranchi/2162-10-05","hi":"https://hi.vidhyamitra.com/city/ranchi/2162-10-05","x-default":"https://vidhyamitra.com/city/ranchi/2162-10-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:09:06.740Z","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":"2026-06-02T16:09:06.740Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:09:06.740Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}