{"id":"vidhyamitra:city-day:ranchi:2124-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2124-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-10-16","date_display":"October 16, 2124 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":2124,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497123.770833,"kali_year":5226,"ahargana":1908658.2708,"sun":{"sidereal_longitude":176.3197,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":273.5191,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.1993,"elapsed_within_tithi_degrees":1.1993},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.5191,"elapsed_within_degrees":6.8524},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.8388},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2124,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497123.770833,"ahargana":1908658.2708,"kali_year":5226,"ayanamsa_lahiri":25.5962,"grahas":{"sun":{"sidereal_longitude":177.35776599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":273.95396600000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":4.0235},"mars":{"sidereal_longitude":127.26846599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":198.54536600000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":191.47666600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":144.66456600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":120.544466,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":210.0997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.0997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2124,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497123.770833,"kali_year":5226,"ahargana":1908658.2708,"sun":{"sidereal_longitude":176.3197,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":273.5191,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.1993,"elapsed_within_tithi_degrees":1.1993},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.5191,"elapsed_within_degrees":6.8524},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.8388},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.024,"elongation":97.199},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.024,"opposition_distance":82.801}},"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":"05:46","sunsetLocal":"17:22","solarNoonLocal":"11:34","dayLengthHours":11.604594264795601,"dayLengthDisplay":"11 Hours 36 Mins 17 Secs","nightLengthDisplay":"12 Hours 23 Mins 43 Secs","moonriseLocal":"12:34","moonsetLocal":"23:26","rahuKala":{"name":"Rāhu Kāla","start":"07:13","end":"08:40","startHours":7.210174991181965,"endHours":8.660749274281415,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:07","end":"11:34","startHours":10.111323557380866,"endHours":11.561897840480317,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:01","end":"14:28","startHours":13.012472123579766,"endHours":14.463046406679215,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.467339369868156,"endHours":8.854159178694676,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:33","startHours":6.2431254691156655,"endHours":6.552581316176882,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:11","end":"11:57","startHours":11.175078031653797,"endHours":11.948717649306836,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"04:59","startHours":4.212321472776435,"endHours":4.985961090429475,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:46","startHours":4.792551186016215,"endHours":5.759600708082515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:16","startHours":13.495996884612916,"endHours":14.269636502265957,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.164194972878118,"endHours":17.564194972878116,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:51","startHours":17.364194972878117,"endHours":17.847719733911266,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.114194972878117,"endHours":18.864194972878117,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:11","end":"23:57","startHours":23.175078031653797,"endHours":23.948717649306836,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:46","end":"07:13","startHours":5.759600708082515,"endHours":7.210174991181965,"quality":"auspicious"},{"name":"Kāla","start":"07:13","end":"08:40","startHours":7.210174991181965,"endHours":8.660749274281415,"quality":"inauspicious"},{"name":"Śubha","start":"08:40","end":"10:07","startHours":8.660749274281415,"endHours":10.111323557380866,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:34","startHours":10.111323557380866,"endHours":11.561897840480317,"quality":"inauspicious"},{"name":"Udveg","start":"11:34","end":"13:01","startHours":11.561897840480317,"endHours":13.012472123579766,"quality":"inauspicious"},{"name":"Chala","start":"13:01","end":"14:28","startHours":13.012472123579766,"endHours":14.463046406679215,"quality":"neutral"},{"name":"Labha","start":"14:28","end":"15:55","startHours":14.463046406679215,"endHours":15.913620689778668,"quality":"auspicious"},{"name":"Amṛta","start":"15:55","end":"17:22","startHours":15.913620689778668,"endHours":17.364194972878117,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:22","end":"18:55","startHours":17.364194972878117,"endHours":18.913620689778668,"quality":"neutral"},{"name":"Labha","start":"18:55","end":"20:28","startHours":18.913620689778668,"endHours":20.46304640667922,"quality":"auspicious"},{"name":"Amṛta","start":"20:28","end":"22:01","startHours":20.46304640667922,"endHours":22.012472123579766,"quality":"auspicious"},{"name":"Kāla","start":"22:01","end":"23:34","startHours":22.012472123579766,"endHours":23.561897840480317,"quality":"inauspicious"},{"name":"Śubha","start":"23:34","end":"01:07","startHours":23.561897840480317,"endHours":25.111323557380867,"quality":"auspicious"},{"name":"Roga","start":"01:07","end":"02:40","startHours":25.111323557380867,"endHours":26.660749274281415,"quality":"inauspicious"},{"name":"Udveg","start":"02:40","end":"04:13","startHours":26.660749274281415,"endHours":28.210174991181965,"quality":"inauspicious"},{"name":"Chala","start":"04:13","end":"05:46","startHours":28.210174991181965,"endHours":29.759600708082516,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.759600708082515,"endHours":6.759600708082515,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.759600708082515,"endHours":7.759600708082515,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.759600708082515,"endHours":8.759600708082516,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.759600708082516,"endHours":9.759600708082516,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.759600708082516,"endHours":10.759600708082516,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.759600708082516,"endHours":11.759600708082516,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.759600708082516,"endHours":12.759600708082516,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.759600708082516,"endHours":13.759600708082516,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.759600708082516,"endHours":14.759600708082516,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.759600708082516,"endHours":15.759600708082516,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.759600708082516,"endHours":16.759600708082516,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.759600708082516,"endHours":17.759600708082516,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.759600708082516,"endHours":18.759600708082516,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.759600708082516,"endHours":19.759600708082516,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.759600708082516,"endHours":20.759600708082516,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.759600708082516,"endHours":21.759600708082516,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.759600708082516,"endHours":22.759600708082516,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.759600708082516,"endHours":23.759600708082516,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.759600708082516,"endHours":24.759600708082516,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.759600708082516,"endHours":25.759600708082516,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.759600708082516,"endHours":26.759600708082516,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.759600708082516,"endHours":27.759600708082516,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.759600708082516,"endHours":28.759600708082516,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.759600708082516,"endHours":29.759600708082516,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","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":-8.923306458948986,"eotMinutes":15.04772957118102,"ayanamsa":25.5962}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"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 Navamī · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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, 2124 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 16, 2124 CE for Ranchi, Jharkhand: Śukla Navamī, sūryodaya 05:46, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2124-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2124-10-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2124-10-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2124-10-16","x-default":"https://vidhyamitra.com/city/ranchi/2124-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:57:24.814Z","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":"2026-05-31T21:57:24.814Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:57:24.814Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}