{"id":"vidhyamitra:city-day:ranchi:2029-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2029-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-10-13","date_display":"October 13, 2029 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":2029,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462422.770833,"kali_year":5131,"ahargana":1873957.2708,"sun":{"sidereal_longitude":174.9133,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":243.8846,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.9713,"elapsed_within_tithi_degrees":8.9713},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":243.8846,"elapsed_within_degrees":3.8846},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.7979},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2029,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462422.770833,"ahargana":1873957.2708,"kali_year":5131,"ayanamsa_lahiri":24.269,"grahas":{"sun":{"sidereal_longitude":175.72350000000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":247.88869999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-0.3794},"mars":{"sidereal_longitude":229.1911,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":162.70460000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":189.73450000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":221.66509999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":29.50540000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":248.7257,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":68.7257,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2029,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462422.770833,"kali_year":5131,"ahargana":1873957.2708,"sun":{"sidereal_longitude":174.9133,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":243.8846,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.9713,"elapsed_within_tithi_degrees":8.9713},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":243.8846,"elapsed_within_degrees":3.8846},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.7979},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.379,"elongation":68.971},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.379,"opposition_distance":111.029}},"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":11.669449528973738,"dayLengthDisplay":"11 Hours 40 Mins 10 Secs","nightLengthDisplay":"12 Hours 19 Mins 50 Secs","moonriseLocal":"11:03","moonsetLocal":"21:43","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:07","startHours":8.654623797621973,"endHours":10.11330498874369,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:02","end":"14:29","startHours":13.030667370987125,"endHours":14.489348562108843,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:44","end":"07:12","startHours":5.737261415378539,"endHours":7.195942606500256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.460132972139078,"endHours":8.84911462310487,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:32","startHours":6.223488479085778,"endHours":6.534673799858411,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:11","end":"11:58","startHours":11.183004528899618,"endHours":11.9609678308312,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:11","end":"04:58","startHours":4.181334811515374,"endHours":4.959298113446956,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:44","startHours":4.764807287964061,"endHours":5.737261415378539,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:18","startHours":13.516894434694365,"endHours":14.294857736625946,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.206710944352277,"endHours":17.606710944352276,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:54","startHours":17.406710944352277,"endHours":17.892938008059517,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.156710944352277,"endHours":18.906710944352277,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:11","end":"23:58","startHours":23.183004528899616,"endHours":23.9609678308312,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:44","end":"07:12","startHours":5.737261415378539,"endHours":7.195942606500256,"quality":"inauspicious"},{"name":"Śubha","start":"07:12","end":"08:39","startHours":7.195942606500256,"endHours":8.654623797621973,"quality":"auspicious"},{"name":"Roga","start":"08:39","end":"10:07","startHours":8.654623797621973,"endHours":10.11330498874369,"quality":"inauspicious"},{"name":"Udveg","start":"10:07","end":"11:34","startHours":10.11330498874369,"endHours":11.571986179865409,"quality":"inauspicious"},{"name":"Chala","start":"11:34","end":"13:02","startHours":11.571986179865409,"endHours":13.030667370987125,"quality":"neutral"},{"name":"Labha","start":"13:02","end":"14:29","startHours":13.030667370987125,"endHours":14.489348562108843,"quality":"auspicious"},{"name":"Amṛta","start":"14:29","end":"15:57","startHours":14.489348562108843,"endHours":15.948029753230559,"quality":"auspicious"},{"name":"Kāla","start":"15:57","end":"17:24","startHours":15.948029753230559,"endHours":17.406710944352277,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:24","end":"18:57","startHours":17.406710944352277,"endHours":18.94802975323056,"quality":"auspicious"},{"name":"Amṛta","start":"18:57","end":"20:29","startHours":18.94802975323056,"endHours":20.48934856210884,"quality":"auspicious"},{"name":"Kāla","start":"20:29","end":"22:02","startHours":20.48934856210884,"endHours":22.030667370987125,"quality":"inauspicious"},{"name":"Śubha","start":"22:02","end":"23:34","startHours":22.030667370987125,"endHours":23.57198617986541,"quality":"auspicious"},{"name":"Roga","start":"23:34","end":"01:07","startHours":23.57198617986541,"endHours":25.113304988743693,"quality":"inauspicious"},{"name":"Udveg","start":"01:07","end":"02:39","startHours":25.113304988743693,"endHours":26.654623797621973,"quality":"inauspicious"},{"name":"Chala","start":"02:39","end":"04:12","startHours":26.654623797621973,"endHours":28.195942606500257,"quality":"neutral"},{"name":"Labha","start":"04:12","end":"05:44","startHours":28.195942606500257,"endHours":29.73726141537854,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.737261415378539,"endHours":6.737261415378539,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.737261415378539,"endHours":7.737261415378539,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.737261415378539,"endHours":8.737261415378539,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.737261415378539,"endHours":9.737261415378539,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.737261415378539,"endHours":10.737261415378539,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.737261415378539,"endHours":11.737261415378539,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.737261415378539,"endHours":12.737261415378539,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.737261415378539,"endHours":13.737261415378539,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.737261415378539,"endHours":14.737261415378539,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.737261415378539,"endHours":15.737261415378539,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.737261415378539,"endHours":16.73726141537854,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.73726141537854,"endHours":17.73726141537854,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.73726141537854,"endHours":18.73726141537854,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.73726141537854,"endHours":19.73726141537854,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.73726141537854,"endHours":20.73726141537854,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.73726141537854,"endHours":21.73726141537854,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.73726141537854,"endHours":22.73726141537854,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.73726141537854,"endHours":23.73726141537854,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.73726141537854,"endHours":24.73726141537854,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.73726141537854,"endHours":25.73726141537854,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.73726141537854,"endHours":26.73726141537854,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.73726141537854,"endHours":27.73726141537854,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.73726141537854,"endHours":28.73726141537854,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.73726141537854,"endHours":29.73726141537854,"planetary_lord":"Mercury"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-7.815499906793692,"eotMinutes":14.442429208075392,"ayanamsa":24.269}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ṣaṣṭhī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2029 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 13, 2029 CE for Ranchi, Jharkhand: Śukla Ṣaṣṭhī, sūryodaya 05:44, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2029-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2029-10-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2029-10-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2029-10-13","x-default":"https://vidhyamitra.com/city/ranchi/2029-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T01:55:07.134Z","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":"2026-05-15T01:55:07.134Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T01:55:07.134Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}