{"id":"vidhyamitra:city-day:ranchi:2162-10-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2162-10-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-10-06","date_display":"October 6, 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":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510992.770833,"kali_year":5264,"ahargana":1922527.2708,"sun":{"sidereal_longitude":165.6123,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":130.3204,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.708,"elapsed_within_tithi_degrees":0.708},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.3204,"elapsed_within_degrees":10.3204},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.9327},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510992.770833,"ahargana":1922527.2708,"kali_year":5264,"ayanamsa_lahiri":26.1267,"grahas":{"sun":{"sidereal_longitude":166.75276800000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":130.615068,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-4.0754},"mars":{"sidereal_longitude":159.687368,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":165.512468,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":251.7399680000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":134.87696800000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":212.928768,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":195.2533,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.2533,"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":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510992.770833,"kali_year":5264,"ahargana":1922527.2708,"sun":{"sidereal_longitude":165.6123,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":130.3204,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.708,"elapsed_within_tithi_degrees":0.708},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.3204,"elapsed_within_degrees":10.3204},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.9327},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.075,"elongation":35.292},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.075,"opposition_distance":144.708}},"eclipse_window_40days":[{"offset_days":17,"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":"17:31","solarNoonLocal":"11:36","dayLengthHours":11.827974685741102,"dayLengthDisplay":"11 Hours 49 Mins 41 Secs","nightLengthDisplay":"12 Hours 10 Mins 19 Secs","moonriseLocal":"02:53","moonsetLocal":"15:30","rahuKala":{"name":"Rāhu Kāla","start":"11:36","end":"13:05","startHours":11.60136624670221,"endHours":13.079863082419848,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:39","startHours":7.165875739549297,"endHours":8.644372575266935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:07","end":"11:36","startHours":10.122869410984572,"endHours":11.60136624670221,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.447239663837916,"endHours":8.841505486695953,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:30","startHours":6.180211182404205,"endHours":6.495623840690635,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:12","end":"12:00","startHours":11.207100423844173,"endHours":11.995632069560246,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:54","startHours":4.110315612399512,"endHours":4.898847258115586,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:41","startHours":4.701714346686567,"endHours":5.687378903831659,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:22","startHours":13.572695360992395,"endHours":14.361227006708468,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.315353589572762,"endHours":17.71535358957276,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"18:00","startHours":17.51535358957276,"endHours":18.008185868145308,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.26535358957276,"endHours":19.01535358957276,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:12","end":"00:00","startHours":23.20710042384417,"endHours":23.995632069560248,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:41","end":"07:10","startHours":5.687378903831659,"endHours":7.165875739549297,"quality":"auspicious"},{"name":"Amṛta","start":"07:10","end":"08:39","startHours":7.165875739549297,"endHours":8.644372575266935,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"10:07","startHours":8.644372575266935,"endHours":10.122869410984572,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:36","startHours":10.122869410984572,"endHours":11.60136624670221,"quality":"auspicious"},{"name":"Roga","start":"11:36","end":"13:05","startHours":11.60136624670221,"endHours":13.079863082419848,"quality":"inauspicious"},{"name":"Udveg","start":"13:05","end":"14:34","startHours":13.079863082419848,"endHours":14.558359918137485,"quality":"inauspicious"},{"name":"Chala","start":"14:34","end":"16:02","startHours":14.558359918137485,"endHours":16.036856753855126,"quality":"neutral"},{"name":"Labha","start":"16:02","end":"17:31","startHours":16.036856753855126,"endHours":17.51535358957276,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:31","end":"19:02","startHours":17.51535358957276,"endHours":19.036856753855123,"quality":"inauspicious"},{"name":"Chala","start":"19:02","end":"20:34","startHours":19.036856753855123,"endHours":20.558359918137487,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"22:05","startHours":20.558359918137487,"endHours":22.07986308241985,"quality":"auspicious"},{"name":"Amṛta","start":"22:05","end":"23:36","startHours":22.07986308241985,"endHours":23.60136624670221,"quality":"auspicious"},{"name":"Kāla","start":"23:36","end":"01:07","startHours":23.60136624670221,"endHours":25.12286941098457,"quality":"inauspicious"},{"name":"Śubha","start":"01:07","end":"02:39","startHours":25.12286941098457,"endHours":26.644372575266935,"quality":"auspicious"},{"name":"Roga","start":"02:39","end":"04:10","startHours":26.644372575266935,"endHours":28.165875739549296,"quality":"inauspicious"},{"name":"Udveg","start":"04:10","end":"05:41","startHours":28.165875739549296,"endHours":29.687378903831657,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.687378903831659,"endHours":6.687378903831659,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.687378903831659,"endHours":7.687378903831659,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.687378903831659,"endHours":8.68737890383166,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.68737890383166,"endHours":9.68737890383166,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.68737890383166,"endHours":10.68737890383166,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.68737890383166,"endHours":11.68737890383166,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.68737890383166,"endHours":12.68737890383166,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.68737890383166,"endHours":13.68737890383166,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.68737890383166,"endHours":14.68737890383166,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.68737890383166,"endHours":15.68737890383166,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.68737890383166,"endHours":16.687378903831657,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.687378903831657,"endHours":17.687378903831657,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.687378903831657,"endHours":18.687378903831657,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.687378903831657,"endHours":19.687378903831657,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.687378903831657,"endHours":20.687378903831657,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.687378903831657,"endHours":21.687378903831657,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.687378903831657,"endHours":22.687378903831657,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.687378903831657,"endHours":23.687378903831657,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.687378903831657,"endHours":24.687378903831657,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.687378903831657,"endHours":25.687378903831657,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.687378903831657,"endHours":26.687378903831657,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.687378903831657,"endHours":27.687378903831657,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.687378903831657,"endHours":28.687378903831657,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.687378903831657,"endHours":29.687378903831657,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","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":-5.086228152561871,"eotMinutes":12.679625197867345,"ayanamsa":26.1267}},"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 Trayodaśī · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 6, 2162 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 6, 2162 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:41, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2162-10-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2162-10-06","sa":"https://sa.vidhyamitra.com/city/ranchi/2162-10-06","hi":"https://hi.vidhyamitra.com/city/ranchi/2162-10-06","x-default":"https://vidhyamitra.com/city/ranchi/2162-10-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:18:40.570Z","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":"2026-06-01T00:18:40.570Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:18:40.570Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}