{"id":"vidhyamitra:city-day:ranchi:2172-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2172-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-10-13","date_display":"October 13, 2172 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":2172,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514652.770833,"kali_year":5274,"ahargana":1926187.2708,"sun":{"sidereal_longitude":172.9301,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":116.784,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":303.8539,"elapsed_within_tithi_degrees":3.8539},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":116.784,"elapsed_within_degrees":10.1173},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.714},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2172,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514652.770833,"ahargana":1926187.2708,"kali_year":5274,"ayanamsa_lahiri":26.2666,"grahas":{"sun":{"sidereal_longitude":174.08923000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":117.22563000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":4.0624},"mars":{"sidereal_longitude":234.37373000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":176.43213000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":202.79673000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":143.40003000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":327.9369300000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":1.3289,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":181.3289,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"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":2172,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514652.770833,"kali_year":5274,"ahargana":1926187.2708,"sun":{"sidereal_longitude":172.9301,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":116.784,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":303.8539,"elapsed_within_tithi_degrees":3.8539},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":116.784,"elapsed_within_degrees":10.1173},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.714},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.062,"elongation":56.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.062,"opposition_distance":123.854}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":-1.458,"opposition_distance":0.906}]},"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":"05:44","sunsetLocal":"17:24","solarNoonLocal":"11:34","dayLengthHours":11.66145128155181,"dayLengthDisplay":"11 Hours 39 Mins 41 Secs","nightLengthDisplay":"12 Hours 20 Mins 19 Secs","moonriseLocal":"01:20","moonsetLocal":"14:14","rahuKala":{"name":"Rāhu Kāla","start":"14:29","end":"15:57","startHours":14.487349000253362,"endHours":15.94503041044734,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:39","end":"10:07","startHours":8.656623359477457,"endHours":10.114304769671433,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:34","end":"13:02","startHours":11.571986179865409,"endHours":13.029667590059386,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.46226583811826,"endHours":8.850980880836653,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:32","startHours":6.227154342487497,"endHours":6.538126376662212,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:11","end":"11:58","startHours":11.183271137147015,"endHours":11.960701222583802,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:11","end":"04:58","startHours":4.18640036821593,"endHours":4.963830453652717,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:44","startHours":4.76947293229352,"endHours":5.741260539089504,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:18","startHours":13.515561393457379,"endHours":14.292991478894166,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.202711820641316,"endHours":17.602711820641314,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:53","startHours":17.402711820641315,"endHours":17.888605624039307,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.152711820641315,"endHours":18.902711820641315,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:11","end":"23:58","startHours":23.183271137147013,"endHours":23.960701222583804,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:44","end":"07:12","startHours":5.741260539089504,"endHours":7.198941949283481,"quality":"inauspicious"},{"name":"Udveg","start":"07:12","end":"08:39","startHours":7.198941949283481,"endHours":8.656623359477457,"quality":"inauspicious"},{"name":"Chala","start":"08:39","end":"10:07","startHours":8.656623359477457,"endHours":10.114304769671433,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:34","startHours":10.114304769671433,"endHours":11.571986179865409,"quality":"auspicious"},{"name":"Amṛta","start":"11:34","end":"13:02","startHours":11.571986179865409,"endHours":13.029667590059386,"quality":"auspicious"},{"name":"Kāla","start":"13:02","end":"14:29","startHours":13.029667590059386,"endHours":14.487349000253362,"quality":"inauspicious"},{"name":"Śubha","start":"14:29","end":"15:57","startHours":14.487349000253362,"endHours":15.94503041044734,"quality":"auspicious"},{"name":"Roga","start":"15:57","end":"17:24","startHours":15.94503041044734,"endHours":17.402711820641315,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:24","end":"18:57","startHours":17.402711820641315,"endHours":18.945030410447337,"quality":"inauspicious"},{"name":"Śubha","start":"18:57","end":"20:29","startHours":18.945030410447337,"endHours":20.487349000253364,"quality":"auspicious"},{"name":"Roga","start":"20:29","end":"22:02","startHours":20.487349000253364,"endHours":22.029667590059386,"quality":"inauspicious"},{"name":"Udveg","start":"22:02","end":"23:34","startHours":22.029667590059386,"endHours":23.57198617986541,"quality":"inauspicious"},{"name":"Chala","start":"23:34","end":"01:07","startHours":23.57198617986541,"endHours":25.114304769671435,"quality":"neutral"},{"name":"Labha","start":"01:07","end":"02:39","startHours":25.114304769671435,"endHours":26.656623359477457,"quality":"auspicious"},{"name":"Amṛta","start":"02:39","end":"04:12","startHours":26.656623359477457,"endHours":28.19894194928348,"quality":"auspicious"},{"name":"Kāla","start":"04:12","end":"05:44","startHours":28.19894194928348,"endHours":29.741260539089502,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.741260539089504,"endHours":6.741260539089504,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.741260539089504,"endHours":7.741260539089504,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.741260539089504,"endHours":8.741260539089504,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.741260539089504,"endHours":9.741260539089504,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.741260539089504,"endHours":10.741260539089504,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.741260539089504,"endHours":11.741260539089504,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.741260539089504,"endHours":12.741260539089504,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.741260539089504,"endHours":13.741260539089504,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.741260539089504,"endHours":14.741260539089504,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.741260539089504,"endHours":15.741260539089504,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.741260539089504,"endHours":16.741260539089502,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.741260539089502,"endHours":17.741260539089502,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.741260539089502,"endHours":18.741260539089502,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.741260539089502,"endHours":19.741260539089502,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.741260539089502,"endHours":20.741260539089502,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.741260539089502,"endHours":21.741260539089502,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.741260539089502,"endHours":22.741260539089502,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.741260539089502,"endHours":23.741260539089502,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.741260539089502,"endHours":24.741260539089502,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.741260539089502,"endHours":25.741260539089502,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.741260539089502,"endHours":26.741260539089502,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.741260539089502,"endHours":27.741260539089502,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.741260539089502,"endHours":28.741260539089502,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.741260539089502,"endHours":29.741260539089502,"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":-7.952436413978182,"eotMinutes":14.442429208075392,"ayanamsa":26.2666}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"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 Ekādaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 13, 2172 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 13, 2172 CE for Ranchi, Jharkhand: Kṛṣṇa Ekādaśī, sūryodaya 05:44, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2172-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2172-10-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2172-10-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2172-10-13","x-default":"https://vidhyamitra.com/city/ranchi/2172-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:07:16.341Z","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":"2026-06-03T09:07:16.341Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:07:16.341Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}