{"id":"vidhyamitra:city-day:ranchi:2124-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2124-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-05-15","date_display":"May 15, 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":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496969.770833,"kali_year":5226,"ahargana":1908504.2708,"sun":{"sidereal_longitude":28.6466,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.9813,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.3347,"elapsed_within_tithi_degrees":11.3347},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.9813,"elapsed_within_degrees":13.3147},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.628},"karana":{"half_tithi_index":1,"name":"Bava"},"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":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496969.770833,"ahargana":1908504.2708,"kali_year":5226,"ayanamsa_lahiri":25.5903,"grahas":{"sun":{"sidereal_longitude":28.946550000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":42.09834999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-0.1351},"mars":{"sidereal_longitude":25.209349999999972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":14.914150000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":176.99714999999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":12.604550000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":103.63245,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":218.2594,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":38.2594,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"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":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496969.770833,"kali_year":5226,"ahargana":1908504.2708,"sun":{"sidereal_longitude":28.6466,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.9813,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.3347,"elapsed_within_tithi_degrees":11.3347},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.9813,"elapsed_within_degrees":13.3147},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.628},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.135,"elongation":11.335},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.135,"opposition_distance":168.665}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":0.971,"elongation":1.847},{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":0.217,"opposition_distance":0.737}]},"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":"05:07","sunsetLocal":"18:23","solarNoonLocal":"11:45","dayLengthHours":13.262547895364515,"dayLengthDisplay":"13 Hours 15 Mins 45 Secs","nightLengthDisplay":"10 Hours 44 Mins 15 Secs","moonriseLocal":"05:56","moonsetLocal":"19:20","rahuKala":{"name":"Rāhu Kāla","start":"06:47","end":"08:26","startHours":6.7766345236395376,"endHours":8.434453010560102,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:06","end":"11:45","startHours":10.092271497480667,"endHours":11.750089984401232,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:24","end":"15:04","startHours":13.407908471321795,"endHours":15.06572695824236,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:39","startHours":8.21341054563736,"endHours":8.655495475482844,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:02","startHours":5.6714221990258284,"endHours":6.025090142902216,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:12","startHours":11.308005054555748,"endHours":12.192174914246715,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:21","end":"04:14","startHours":3.350476317337038,"endHours":4.234646177028006,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:01","end":"05:07","startHours":4.0136037121052635,"endHours":5.1188160367189735,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:51","startHours":13.96051463362865,"endHours":14.844684493319617,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.18136393208349,"endHours":18.581363932083487,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.381363932083488,"endHours":18.933970094390343,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.131363932083488,"endHours":19.881363932083488,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:12","startHours":23.308005054555746,"endHours":24.192174914246717,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:07","end":"06:47","startHours":5.1188160367189735,"endHours":6.7766345236395376,"quality":"auspicious"},{"name":"Kāla","start":"06:47","end":"08:26","startHours":6.7766345236395376,"endHours":8.434453010560102,"quality":"inauspicious"},{"name":"Śubha","start":"08:26","end":"10:06","startHours":8.434453010560102,"endHours":10.092271497480667,"quality":"auspicious"},{"name":"Roga","start":"10:06","end":"11:45","startHours":10.092271497480667,"endHours":11.750089984401232,"quality":"inauspicious"},{"name":"Udveg","start":"11:45","end":"13:24","startHours":11.750089984401232,"endHours":13.407908471321795,"quality":"inauspicious"},{"name":"Chala","start":"13:24","end":"15:04","startHours":13.407908471321795,"endHours":15.06572695824236,"quality":"neutral"},{"name":"Labha","start":"15:04","end":"16:43","startHours":15.06572695824236,"endHours":16.723545445162923,"quality":"auspicious"},{"name":"Amṛta","start":"16:43","end":"18:23","startHours":16.723545445162923,"endHours":18.381363932083488,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:23","end":"19:43","startHours":18.381363932083488,"endHours":19.723545445162923,"quality":"neutral"},{"name":"Labha","start":"19:43","end":"21:04","startHours":19.723545445162923,"endHours":21.065726958242358,"quality":"auspicious"},{"name":"Amṛta","start":"21:04","end":"22:24","startHours":21.065726958242358,"endHours":22.407908471321797,"quality":"auspicious"},{"name":"Kāla","start":"22:24","end":"23:45","startHours":22.407908471321797,"endHours":23.75008998440123,"quality":"inauspicious"},{"name":"Śubha","start":"23:45","end":"01:06","startHours":23.75008998440123,"endHours":25.092271497480667,"quality":"auspicious"},{"name":"Roga","start":"01:06","end":"02:26","startHours":25.092271497480667,"endHours":26.4344530105601,"quality":"inauspicious"},{"name":"Udveg","start":"02:26","end":"03:47","startHours":26.4344530105601,"endHours":27.776634523639537,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:07","startHours":27.776634523639537,"endHours":29.118816036718975,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.1188160367189735,"endHours":6.1188160367189735,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.1188160367189735,"endHours":7.1188160367189735,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.1188160367189735,"endHours":8.118816036718973,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.118816036718973,"endHours":9.118816036718973,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.118816036718973,"endHours":10.118816036718973,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.118816036718973,"endHours":11.118816036718973,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.118816036718973,"endHours":12.118816036718973,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.118816036718973,"endHours":13.118816036718973,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.118816036718973,"endHours":14.118816036718973,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.118816036718973,"endHours":15.118816036718973,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.118816036718973,"endHours":16.118816036718975,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.118816036718975,"endHours":17.118816036718975,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.118816036718975,"endHours":18.118816036718975,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.118816036718975,"endHours":19.118816036718975,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.118816036718975,"endHours":20.118816036718975,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.118816036718975,"endHours":21.118816036718975,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.118816036718975,"endHours":22.118816036718975,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.118816036718975,"endHours":23.118816036718975,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.118816036718975,"endHours":24.118816036718975,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.118816036718975,"endHours":25.118816036718975,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.118816036718975,"endHours":26.118816036718975,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.118816036718975,"endHours":27.118816036718975,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.118816036718975,"endHours":28.118816036718975,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.118816036718975,"endHours":29.118816036718975,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.90189128276031,"eotMinutes":3.7562009359260493,"ayanamsa":25.5903}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"festivals":[],"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 May 15, 2124 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 15, 2124 CE for Ranchi, Jharkhand: Śukla Pratipada, sūryodaya 05:07, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2124-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2124-05-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2124-05-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2124-05-15","x-default":"https://vidhyamitra.com/city/ranchi/2124-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:39:49.092Z","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":"2026-06-01T07:39:49.092Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:39:49.092Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}