{"id":"vidhyamitra:city-day:ranchi:2124-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2124-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496853.770833,"kali_year":5225,"ahargana":1908388.2708,"sun":{"sidereal_longitude":273.2072,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":312.5612,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.354,"elapsed_within_tithi_degrees":3.354},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.5612,"elapsed_within_degrees":5.8945},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.7684},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2124,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496853.770833,"ahargana":1908388.2708,"kali_year":5225,"ayanamsa_lahiri":25.5859,"grahas":{"sun":{"sidereal_longitude":273.59008199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":310.450282,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":4.4977},"mars":{"sidereal_longitude":296.3011819999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":261.89838199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":183.97308199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":315.55788200000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":107.02538200000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":224.4056,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":44.4056,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496853.770833,"kali_year":5225,"ahargana":1908388.2708,"sun":{"sidereal_longitude":273.2072,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":312.5612,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.354,"elapsed_within_tithi_degrees":3.354},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.5612,"elapsed_within_degrees":5.8945},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.7684},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.498,"elongation":39.354},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.498,"opposition_distance":140.646}},"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":"06:33","sunsetLocal":"17:27","solarNoonLocal":"12:00","dayLengthHours":10.904290176794014,"dayLengthDisplay":"10 Hours 54 Mins 15 Secs","nightLengthDisplay":"13 Hours 05 Mins 45 Secs","moonriseLocal":"08:41","moonsetLocal":"20:14","rahuKala":{"name":"Rāhu Kāla","start":"13:22","end":"14:43","startHours":13.358467994386405,"endHours":14.721504266485658,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:33","end":"07:54","startHours":6.543286633890148,"endHours":7.906322905989399,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:38","startHours":9.269359178088651,"endHours":10.632395450187904,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.087621008475416,"endHours":9.451097347701884,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.997632057923232,"endHours":7.288413129304406,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.631955383060687,"endHours":12.358908061513622,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.0893812769842794,"endHours":5.816333955437213,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:33","startHours":5.63459578582398,"endHours":6.543286633890148,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:32","startHours":13.81281341841949,"endHours":14.539766096872423,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.247576810684162,"endHours":17.64757681068416,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:54","startHours":17.44757681068416,"endHours":17.901922234717244,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19757681068416,"endHours":18.94757681068416,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.63195538306069,"endHours":24.35890806151362,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:33","end":"07:54","startHours":6.543286633890148,"endHours":7.906322905989399,"quality":"auspicious"},{"name":"Roga","start":"07:54","end":"09:16","startHours":7.906322905989399,"endHours":9.269359178088651,"quality":"inauspicious"},{"name":"Udveg","start":"09:16","end":"10:38","startHours":9.269359178088651,"endHours":10.632395450187904,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:00","startHours":10.632395450187904,"endHours":11.995431722287154,"quality":"neutral"},{"name":"Labha","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.358467994386405,"quality":"auspicious"},{"name":"Amṛta","start":"13:22","end":"14:43","startHours":13.358467994386405,"endHours":14.721504266485658,"quality":"auspicious"},{"name":"Kāla","start":"14:43","end":"16:05","startHours":14.721504266485658,"endHours":16.08454053858491,"quality":"inauspicious"},{"name":"Śubha","start":"16:05","end":"17:27","startHours":16.08454053858491,"endHours":17.44757681068416,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:27","end":"19:05","startHours":17.44757681068416,"endHours":19.08454053858491,"quality":"auspicious"},{"name":"Kāla","start":"19:05","end":"20:43","startHours":19.08454053858491,"endHours":20.72150426648566,"quality":"inauspicious"},{"name":"Śubha","start":"20:43","end":"22:22","startHours":20.72150426648566,"endHours":22.358467994386405,"quality":"auspicious"},{"name":"Roga","start":"22:22","end":"00:00","startHours":22.358467994386405,"endHours":23.995431722287154,"quality":"inauspicious"},{"name":"Udveg","start":"00:00","end":"01:38","startHours":23.995431722287154,"endHours":25.632395450187904,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:16","startHours":25.632395450187904,"endHours":27.26935917808865,"quality":"neutral"},{"name":"Labha","start":"03:16","end":"04:54","startHours":27.26935917808865,"endHours":28.9063229059894,"quality":"auspicious"},{"name":"Amṛta","start":"04:54","end":"06:33","startHours":28.9063229059894,"endHours":30.543286633890148,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.543286633890148,"endHours":7.543286633890148,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.543286633890148,"endHours":8.543286633890148,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.543286633890148,"endHours":9.543286633890148,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.543286633890148,"endHours":10.543286633890148,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.543286633890148,"endHours":11.543286633890148,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.543286633890148,"endHours":12.543286633890148,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.543286633890148,"endHours":13.543286633890148,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.543286633890148,"endHours":14.543286633890148,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.543286633890148,"endHours":15.543286633890148,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.543286633890148,"endHours":16.543286633890148,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.543286633890148,"endHours":17.543286633890148,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.543286633890148,"endHours":18.543286633890148,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.543286633890148,"endHours":19.543286633890148,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.543286633890148,"endHours":20.543286633890148,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.543286633890148,"endHours":21.543286633890148,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.543286633890148,"endHours":22.543286633890148,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.543286633890148,"endHours":23.543286633890148,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.543286633890148,"endHours":24.543286633890148,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.543286633890148,"endHours":25.543286633890148,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.543286633890148,"endHours":26.543286633890148,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.543286633890148,"endHours":27.543286633890148,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.543286633890148,"endHours":28.543286633890148,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.543286633890148,"endHours":29.543286633890148,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.543286633890148,"endHours":30.543286633890148,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.32047286977548,"eotMinutes":-10.9643033372293,"ayanamsa":25.5859}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 January 20, 2124 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 20, 2124 CE for Ranchi, Jharkhand: Śukla Caturthī, sūryodaya 06:33, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2124-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2124-01-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2124-01-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2124-01-20","x-default":"https://vidhyamitra.com/city/ranchi/2124-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:39:42.923Z","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":"2026-05-31T03:39:42.923Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:39:42.923Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}