{"id":"vidhyamitra:city-day:ranchi:2002-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2002-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-10-16","date_display":"October 16, 2002 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":2002,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452563.770833,"kali_year":5104,"ahargana":1864098.2708,"sun":{"sidereal_longitude":177.8767,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":297.8957,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.019,"elapsed_within_tithi_degrees":0.019},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.8957,"elapsed_within_degrees":4.5624},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.7724},"karana":{"half_tithi_index":20,"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":2002,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452563.770833,"ahargana":1864098.2708,"kali_year":5104,"ayanamsa_lahiri":23.892,"grahas":{"sun":{"sidereal_longitude":178.61658599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":300.999686,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.1352},"mars":{"sidereal_longitude":156.29928599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":161.013686,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":110.43588599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":201.25268600000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":65.09338600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":51.1029,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.1029,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452563.770833,"kali_year":5104,"ahargana":1864098.2708,"sun":{"sidereal_longitude":177.8767,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":297.8957,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.019,"elapsed_within_tithi_degrees":0.019},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.8957,"elapsed_within_degrees":4.5624},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.7724},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.135,"elongation":120.019},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.135,"opposition_distance":59.981}},"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":"05:45","sunsetLocal":"17:22","solarNoonLocal":"11:34","dayLengthHours":11.614296918034945,"dayLengthDisplay":"11 Hours 36 Mins 51 Secs","nightLengthDisplay":"12 Hours 23 Mins 09 Secs","moonriseLocal":"14:04","moonsetLocal":"01:23","rahuKala":{"name":"Rāhu Kāla","start":"11:34","end":"13:01","startHours":11.561897840480317,"endHours":13.013684955234684,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:39","startHours":7.206536496217211,"endHours":8.658323610971578,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:07","end":"11:34","startHours":10.110110725725947,"endHours":11.561897840480317,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.464751995670998,"endHours":8.851895226272163,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:33","startHours":6.238678419714299,"endHours":6.548393004195231,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:57","startHours":11.174754609879152,"endHours":11.949041071081481,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"04:59","startHours":4.206176459058184,"endHours":4.980462920260513,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:45","startHours":4.786891304959931,"endHours":5.754749381462843,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:16","startHours":13.49761399348614,"endHours":14.27190045468847,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.16904629949779,"endHours":17.56904629949779,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:51","startHours":17.36904629949779,"endHours":17.852975337749246,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.11904629949779,"endHours":18.86904629949779,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:57","startHours":23.17475460987915,"endHours":23.94904107108148,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:45","end":"07:12","startHours":5.754749381462843,"endHours":7.206536496217211,"quality":"auspicious"},{"name":"Amṛta","start":"07:12","end":"08:39","startHours":7.206536496217211,"endHours":8.658323610971578,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"10:07","startHours":8.658323610971578,"endHours":10.110110725725947,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:34","startHours":10.110110725725947,"endHours":11.561897840480317,"quality":"auspicious"},{"name":"Roga","start":"11:34","end":"13:01","startHours":11.561897840480317,"endHours":13.013684955234684,"quality":"inauspicious"},{"name":"Udveg","start":"13:01","end":"14:28","startHours":13.013684955234684,"endHours":14.465472069989051,"quality":"inauspicious"},{"name":"Chala","start":"14:28","end":"15:55","startHours":14.465472069989051,"endHours":15.917259184743422,"quality":"neutral"},{"name":"Labha","start":"15:55","end":"17:22","startHours":15.917259184743422,"endHours":17.36904629949779,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:22","end":"18:55","startHours":17.36904629949779,"endHours":18.917259184743422,"quality":"inauspicious"},{"name":"Chala","start":"18:55","end":"20:28","startHours":18.917259184743422,"endHours":20.465472069989055,"quality":"neutral"},{"name":"Labha","start":"20:28","end":"22:01","startHours":20.465472069989055,"endHours":22.013684955234684,"quality":"auspicious"},{"name":"Amṛta","start":"22:01","end":"23:34","startHours":22.013684955234684,"endHours":23.561897840480317,"quality":"auspicious"},{"name":"Kāla","start":"23:34","end":"01:07","startHours":23.561897840480317,"endHours":25.11011072572595,"quality":"inauspicious"},{"name":"Śubha","start":"01:07","end":"02:39","startHours":25.11011072572595,"endHours":26.65832361097158,"quality":"auspicious"},{"name":"Roga","start":"02:39","end":"04:12","startHours":26.65832361097158,"endHours":28.20653649621721,"quality":"inauspicious"},{"name":"Udveg","start":"04:12","end":"05:45","startHours":28.20653649621721,"endHours":29.754749381462844,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.754749381462843,"endHours":6.754749381462843,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.754749381462843,"endHours":7.754749381462843,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.754749381462843,"endHours":8.754749381462844,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.754749381462844,"endHours":9.754749381462844,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.754749381462844,"endHours":10.754749381462844,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.754749381462844,"endHours":11.754749381462844,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.754749381462844,"endHours":12.754749381462844,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.754749381462844,"endHours":13.754749381462844,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.754749381462844,"endHours":14.754749381462844,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.754749381462844,"endHours":15.754749381462844,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.754749381462844,"endHours":16.754749381462844,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.754749381462844,"endHours":17.754749381462844,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.754749381462844,"endHours":18.754749381462844,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.754749381462844,"endHours":19.754749381462844,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.754749381462844,"endHours":20.754749381462844,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.754749381462844,"endHours":21.754749381462844,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.754749381462844,"endHours":22.754749381462844,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.754749381462844,"endHours":23.754749381462844,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.754749381462844,"endHours":24.754749381462844,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.754749381462844,"endHours":25.754749381462844,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.754749381462844,"endHours":26.754749381462844,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.754749381462844,"endHours":27.754749381462844,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.754749381462844,"endHours":28.754749381462844,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.754749381462844,"endHours":29.754749381462844,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","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":-8.757959452159092,"eotMinutes":15.04772957118102,"ayanamsa":23.892}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ekādaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":4},{"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},{"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":"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 16, 2002 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 16, 2002 CE for Ranchi, Jharkhand: Śukla Ekādaśī, sūryodaya 05:45, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2002-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2002-10-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2002-10-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2002-10-16","x-default":"https://vidhyamitra.com/city/ranchi/2002-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T20:53:31.514Z","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":"2026-05-16T20:53:31.514Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T20:53:31.514Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}