{"id":"vidhyamitra:city-day:ranchi:2168-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2168-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-10-13","date_display":"October 13, 2168 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":2168,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513191.770833,"kali_year":5270,"ahargana":1924726.2708,"sun":{"sidereal_longitude":172.9647,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":306.1676,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.2028,"elapsed_within_tithi_degrees":1.2028},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.1676,"elapsed_within_degrees":12.8342},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.1323},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2168,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513191.770833,"ahargana":1924726.2708,"kali_year":5270,"ayanamsa_lahiri":26.2108,"grahas":{"sun":{"sidereal_longitude":174.11464999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":307.30594999999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-3.3124},"mars":{"sidereal_longitude":203.11525000000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":170.41895,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":105.64794999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":214.09545000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.1704500000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.7397,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.7397,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2168,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513191.770833,"kali_year":5270,"ahargana":1924726.2708,"sun":{"sidereal_longitude":172.9647,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":306.1676,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.2028,"elapsed_within_tithi_degrees":1.2028},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.1676,"elapsed_within_degrees":12.8342},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.1323},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.312,"elongation":133.203},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.312,"opposition_distance":46.797}},"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":"05:44","sunsetLocal":"17:24","solarNoonLocal":"11:34","dayLengthHours":11.662119635031473,"dayLengthDisplay":"11 Hours 39 Mins 44 Secs","nightLengthDisplay":"12 Hours 20 Mins 16 Secs","moonriseLocal":"14:42","moonsetLocal":"02:12","rahuKala":{"name":"Rāhu Kāla","start":"13:02","end":"14:29","startHours":13.029751134244343,"endHours":14.487516088623277,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:44","end":"07:12","startHours":5.740926362349673,"endHours":7.198691316728607,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:07","startHours":8.65645627110754,"endHours":10.114221225486475,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.462087610523684,"endHours":8.850824931691399,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:32","startHours":6.226848013809318,"endHours":6.53783787074349,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:11","end":"11:58","startHours":11.183248858697693,"endHours":11.960723501033124,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:11","end":"04:58","startHours":4.18597707767881,"endHours":4.963451720014241,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:44","startHours":4.7690830594303835,"endHours":5.740926362349673,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:18","startHours":13.515672785703988,"endHours":14.293147428039418,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.203045997381146,"endHours":17.603045997381145,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:53","startHours":17.403045997381145,"endHours":17.88896764884079,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.153045997381145,"endHours":18.903045997381145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:11","end":"23:58","startHours":23.18324885869769,"endHours":23.960723501033126,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:44","end":"07:12","startHours":5.740926362349673,"endHours":7.198691316728607,"quality":"auspicious"},{"name":"Roga","start":"07:12","end":"08:39","startHours":7.198691316728607,"endHours":8.65645627110754,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:07","startHours":8.65645627110754,"endHours":10.114221225486475,"quality":"inauspicious"},{"name":"Chala","start":"10:07","end":"11:34","startHours":10.114221225486475,"endHours":11.571986179865409,"quality":"neutral"},{"name":"Labha","start":"11:34","end":"13:02","startHours":11.571986179865409,"endHours":13.029751134244343,"quality":"auspicious"},{"name":"Amṛta","start":"13:02","end":"14:29","startHours":13.029751134244343,"endHours":14.487516088623277,"quality":"auspicious"},{"name":"Kāla","start":"14:29","end":"15:57","startHours":14.487516088623277,"endHours":15.945281043002211,"quality":"inauspicious"},{"name":"Śubha","start":"15:57","end":"17:24","startHours":15.945281043002211,"endHours":17.403045997381145,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:24","end":"18:57","startHours":17.403045997381145,"endHours":18.94528104300221,"quality":"auspicious"},{"name":"Kāla","start":"18:57","end":"20:29","startHours":18.94528104300221,"endHours":20.487516088623277,"quality":"inauspicious"},{"name":"Śubha","start":"20:29","end":"22:02","startHours":20.487516088623277,"endHours":22.029751134244343,"quality":"auspicious"},{"name":"Roga","start":"22:02","end":"23:34","startHours":22.029751134244343,"endHours":23.57198617986541,"quality":"inauspicious"},{"name":"Udveg","start":"23:34","end":"01:07","startHours":23.57198617986541,"endHours":25.114221225486475,"quality":"inauspicious"},{"name":"Chala","start":"01:07","end":"02:39","startHours":25.114221225486475,"endHours":26.65645627110754,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:12","startHours":26.65645627110754,"endHours":28.198691316728606,"quality":"auspicious"},{"name":"Amṛta","start":"04:12","end":"05:44","startHours":28.198691316728606,"endHours":29.740926362349672,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.740926362349673,"endHours":6.740926362349673,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.740926362349673,"endHours":7.740926362349673,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.740926362349673,"endHours":8.740926362349672,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.740926362349672,"endHours":9.740926362349672,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.740926362349672,"endHours":10.740926362349672,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.740926362349672,"endHours":11.740926362349672,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.740926362349672,"endHours":12.740926362349672,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.740926362349672,"endHours":13.740926362349672,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.740926362349672,"endHours":14.740926362349672,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.740926362349672,"endHours":15.740926362349672,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.740926362349672,"endHours":16.740926362349672,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.740926362349672,"endHours":17.740926362349672,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.740926362349672,"endHours":18.740926362349672,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.740926362349672,"endHours":19.740926362349672,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.740926362349672,"endHours":20.740926362349672,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.740926362349672,"endHours":21.740926362349672,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.740926362349672,"endHours":22.740926362349672,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.740926362349672,"endHours":23.740926362349672,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.740926362349672,"endHours":24.740926362349672,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.740926362349672,"endHours":25.740926362349672,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.740926362349672,"endHours":26.740926362349672,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.740926362349672,"endHours":27.740926362349672,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.740926362349672,"endHours":28.740926362349672,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.740926362349672,"endHours":29.740926362349672,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","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":-7.940996920493384,"eotMinutes":14.442429208075392,"ayanamsa":26.2108}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"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 Dvādaśī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2168 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 13, 2168 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 05:44, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2168-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2168-10-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2168-10-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2168-10-13","x-default":"https://vidhyamitra.com/city/ranchi/2168-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:07:32.241Z","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":"2026-06-03T07:07:32.241Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:07:32.241Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}