{"id":"vidhyamitra:city-day:ranchi:1902-10-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1902-10-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-10-29","date_display":"October 29, 1902 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":1902,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416051.770833,"kali_year":5004,"ahargana":1827586.2708,"sun":{"sidereal_longitude":191.7273,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":165.2759,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.5485,"elapsed_within_tithi_degrees":9.5485},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.2759,"elapsed_within_degrees":5.2759},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.0032},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":1902,"month":10,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416051.770833,"ahargana":1827586.2708,"kali_year":5004,"ayanamsa_lahiri":22.4955,"grahas":{"sun":{"sidereal_longitude":192.186913,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":165.56591300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-1.5678},"mars":{"sidereal_longitude":131.767313,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":177.63541299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":287.30941299999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":185.80821300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":270.84611299999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":185.6844,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":5.6844,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1902,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416051.770833,"kali_year":5004,"ahargana":1827586.2708,"sun":{"sidereal_longitude":191.7273,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":165.2759,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.5485,"elapsed_within_tithi_degrees":9.5485},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.2759,"elapsed_within_degrees":5.2759},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.0032},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.568,"elongation":26.451},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.568,"opposition_distance":153.549}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":0.486,"elongation":1.952}]},"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":"05:52","sunsetLocal":"17:13","solarNoonLocal":"11:32","dayLengthHours":11.357365543553454,"dayLengthDisplay":"11 Hours 21 Mins 27 Secs","nightLengthDisplay":"12 Hours 38 Mins 33 Secs","moonriseLocal":"03:49","moonsetLocal":"15:43","rahuKala":{"name":"Rāhu Kāla","start":"11:32","end":"12:58","startHours":11.538803418682946,"endHours":12.95847411162713,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:17","end":"08:42","startHours":7.2797913398504015,"endHours":8.699462032794584,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:07","end":"11:32","startHours":10.119132725738766,"endHours":11.538803418682946,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:53","startHours":8.510172607068693,"endHours":8.888751458520474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:38","startHours":6.333344211220947,"endHours":6.636207292382372,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:55","startHours":11.160224567231165,"endHours":11.917382270134727,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:06","startHours":4.345805241099092,"endHours":5.102962944002655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:52","startHours":4.913673518276765,"endHours":5.8601206469062195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:26","end":"14:11","startHours":13.431697675941855,"endHours":14.18885537884542,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:01","end":"17:25","startHours":17.017486190459675,"endHours":17.417486190459673,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:13","end":"17:41","startHours":17.217486190459674,"endHours":17.6907097547744,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:58","end":"18:43","startHours":16.967486190459674,"endHours":18.717486190459674,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:55","startHours":23.160224567231165,"endHours":23.917382270134727,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:52","end":"07:17","startHours":5.8601206469062195,"endHours":7.2797913398504015,"quality":"auspicious"},{"name":"Amṛta","start":"07:17","end":"08:42","startHours":7.2797913398504015,"endHours":8.699462032794584,"quality":"auspicious"},{"name":"Kāla","start":"08:42","end":"10:07","startHours":8.699462032794584,"endHours":10.119132725738766,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:32","startHours":10.119132725738766,"endHours":11.538803418682946,"quality":"auspicious"},{"name":"Roga","start":"11:32","end":"12:58","startHours":11.538803418682946,"endHours":12.95847411162713,"quality":"inauspicious"},{"name":"Udveg","start":"12:58","end":"14:23","startHours":12.95847411162713,"endHours":14.37814480457131,"quality":"inauspicious"},{"name":"Chala","start":"14:23","end":"15:48","startHours":14.37814480457131,"endHours":15.797815497515492,"quality":"neutral"},{"name":"Labha","start":"15:48","end":"17:13","startHours":15.797815497515492,"endHours":17.217486190459674,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:13","end":"18:48","startHours":17.217486190459674,"endHours":18.797815497515494,"quality":"inauspicious"},{"name":"Chala","start":"18:48","end":"20:23","startHours":18.797815497515494,"endHours":20.37814480457131,"quality":"neutral"},{"name":"Labha","start":"20:23","end":"21:58","startHours":20.37814480457131,"endHours":21.95847411162713,"quality":"auspicious"},{"name":"Amṛta","start":"21:58","end":"23:32","startHours":21.95847411162713,"endHours":23.538803418682946,"quality":"auspicious"},{"name":"Kāla","start":"23:32","end":"01:07","startHours":23.538803418682946,"endHours":25.119132725738766,"quality":"inauspicious"},{"name":"Śubha","start":"01:07","end":"02:42","startHours":25.119132725738766,"endHours":26.699462032794585,"quality":"auspicious"},{"name":"Roga","start":"02:42","end":"04:17","startHours":26.699462032794585,"endHours":28.2797913398504,"quality":"inauspicious"},{"name":"Udveg","start":"04:17","end":"05:52","startHours":28.2797913398504,"endHours":29.860120646906218,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.8601206469062195,"endHours":6.8601206469062195,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.8601206469062195,"endHours":7.8601206469062195,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.8601206469062195,"endHours":8.86012064690622,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.86012064690622,"endHours":9.86012064690622,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.86012064690622,"endHours":10.86012064690622,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.86012064690622,"endHours":11.86012064690622,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.86012064690622,"endHours":12.86012064690622,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.86012064690622,"endHours":13.86012064690622,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.86012064690622,"endHours":14.86012064690622,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.86012064690622,"endHours":15.86012064690622,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.86012064690622,"endHours":16.860120646906218,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.860120646906218,"endHours":17.860120646906218,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.860120646906218,"endHours":18.860120646906218,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.860120646906218,"endHours":19.860120646906218,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.860120646906218,"endHours":20.860120646906218,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.860120646906218,"endHours":21.860120646906218,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.860120646906218,"endHours":22.860120646906218,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.860120646906218,"endHours":23.860120646906218,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.860120646906218,"endHours":24.860120646906218,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.860120646906218,"endHours":25.860120646906218,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.860120646906218,"endHours":26.860120646906218,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.860120646906218,"endHours":27.860120646906218,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.860120646906218,"endHours":28.860120646906218,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.860120646906218,"endHours":29.860120646906218,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.080544246456336,"eotMinutes":16.433394879023222,"ayanamsa":22.4955}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Trayodaśī · Vikram 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"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 29, 1902 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 29, 1902 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:52, sūryāsta 17:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1902-10-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1902-10-29","sa":"https://sa.vidhyamitra.com/city/ranchi/1902-10-29","hi":"https://hi.vidhyamitra.com/city/ranchi/1902-10-29","x-default":"https://vidhyamitra.com/city/ranchi/1902-10-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:52:15.328Z","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":"2026-05-31T16:52:15.328Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:52:15.328Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}