{"id":"vidhyamitra:city-day:ranchi:2138-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2138-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-05-16","date_display":"May 16, 2138 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":2138,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502083.770833,"kali_year":5240,"ahargana":1913618.2708,"sun":{"sidereal_longitude":29.0086,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":109.336,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.3274,"elapsed_within_tithi_degrees":8.3274},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.336,"elapsed_within_degrees":2.6694},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.3447},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2138,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502083.770833,"ahargana":1913618.2708,"kali_year":5240,"ayanamsa_lahiri":25.7859,"grahas":{"sun":{"sidereal_longitude":29.344258000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":108.08465799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":1.3862},"mars":{"sidereal_longitude":129.68985799999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":31.30295799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":250.10145799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"venus":{"sidereal_longitude":65.49135799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":278.91955800000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.295,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.295,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":2138,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502083.770833,"kali_year":5240,"ahargana":1913618.2708,"sun":{"sidereal_longitude":29.0086,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":109.336,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.3274,"elapsed_within_tithi_degrees":8.3274},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.336,"elapsed_within_degrees":2.6694},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.3447},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.386,"elongation":80.327},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.386,"opposition_distance":99.673}},"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":"05:07","sunsetLocal":"18:23","solarNoonLocal":"11:45","dayLengthHours":13.27203636923185,"dayLengthDisplay":"13 Hours 16 Mins 19 Secs","nightLengthDisplay":"10 Hours 43 Mins 41 Secs","moonriseLocal":"10:28","moonsetLocal":"23:32","rahuKala":{"name":"Rāhu Kāla","start":"10:05","end":"11:45","startHours":10.091301204532892,"endHours":11.750305750686874,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:04","end":"16:44","startHours":15.068314842994836,"endHours":16.727319389148818,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:46","end":"08:26","startHours":6.7732921122249286,"endHours":8.43229665837891,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:39","startHours":8.211096052225045,"endHours":8.653497264532774,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:01","startHours":5.667289081455608,"endHours":6.02121005130179,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:12","startHours":11.307904538379145,"endHours":12.192706962994603,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:21","end":"04:14","startHours":3.344682716840034,"endHours":4.229485141455491,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:00","end":"05:07","startHours":4.008284535301627,"endHours":5.1142875660709475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:51","startHours":13.962311812225513,"endHours":14.84711423684097,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.1863239353028,"endHours":18.586323935302797,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.386323935302798,"endHours":18.93932545068746,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.136323935302798,"endHours":19.886323935302798,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:12","startHours":23.307904538379145,"endHours":24.192706962994603,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:07","end":"06:46","startHours":5.1142875660709475,"endHours":6.7732921122249286,"quality":"neutral"},{"name":"Labha","start":"06:46","end":"08:26","startHours":6.7732921122249286,"endHours":8.43229665837891,"quality":"auspicious"},{"name":"Amṛta","start":"08:26","end":"10:05","startHours":8.43229665837891,"endHours":10.091301204532892,"quality":"auspicious"},{"name":"Kāla","start":"10:05","end":"11:45","startHours":10.091301204532892,"endHours":11.750305750686874,"quality":"inauspicious"},{"name":"Śubha","start":"11:45","end":"13:25","startHours":11.750305750686874,"endHours":13.409310296840854,"quality":"auspicious"},{"name":"Roga","start":"13:25","end":"15:04","startHours":13.409310296840854,"endHours":15.068314842994836,"quality":"inauspicious"},{"name":"Udveg","start":"15:04","end":"16:44","startHours":15.068314842994836,"endHours":16.727319389148818,"quality":"inauspicious"},{"name":"Chala","start":"16:44","end":"18:23","startHours":16.727319389148818,"endHours":18.386323935302798,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:23","end":"19:44","startHours":18.386323935302798,"endHours":19.727319389148818,"quality":"inauspicious"},{"name":"Udveg","start":"19:44","end":"21:04","startHours":19.727319389148818,"endHours":21.068314842994834,"quality":"inauspicious"},{"name":"Chala","start":"21:04","end":"22:25","startHours":21.068314842994834,"endHours":22.409310296840854,"quality":"neutral"},{"name":"Labha","start":"22:25","end":"23:45","startHours":22.409310296840854,"endHours":23.750305750686874,"quality":"auspicious"},{"name":"Amṛta","start":"23:45","end":"01:05","startHours":23.750305750686874,"endHours":25.09130120453289,"quality":"auspicious"},{"name":"Kāla","start":"01:05","end":"02:26","startHours":25.09130120453289,"endHours":26.43229665837891,"quality":"inauspicious"},{"name":"Śubha","start":"02:26","end":"03:46","startHours":26.43229665837891,"endHours":27.77329211222493,"quality":"auspicious"},{"name":"Roga","start":"03:46","end":"05:07","startHours":27.77329211222493,"endHours":29.11428756607095,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.1142875660709475,"endHours":6.1142875660709475,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.1142875660709475,"endHours":7.1142875660709475,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.1142875660709475,"endHours":8.114287566070947,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.114287566070947,"endHours":9.114287566070947,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.114287566070947,"endHours":10.114287566070947,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.114287566070947,"endHours":11.114287566070947,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.114287566070947,"endHours":12.114287566070947,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.114287566070947,"endHours":13.114287566070947,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.114287566070947,"endHours":14.114287566070947,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.114287566070947,"endHours":15.114287566070947,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.114287566070947,"endHours":16.11428756607095,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.11428756607095,"endHours":17.11428756607095,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.11428756607095,"endHours":18.11428756607095,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.11428756607095,"endHours":19.11428756607095,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.11428756607095,"endHours":20.11428756607095,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.11428756607095,"endHours":21.11428756607095,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.11428756607095,"endHours":22.11428756607095,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.11428756607095,"endHours":23.11428756607095,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.11428756607095,"endHours":24.11428756607095,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.11428756607095,"endHours":25.11428756607095,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.11428756607095,"endHours":26.11428756607095,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.11428756607095,"endHours":27.11428756607095,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.11428756607095,"endHours":28.11428756607095,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.11428756607095,"endHours":29.11428756607095,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","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":19.04561187065712,"eotMinutes":3.743254958787478,"ayanamsa":25.7859}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"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 Saptamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 May 16, 2138 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 16, 2138 CE for Ranchi, Jharkhand: Śukla Saptamī, sūryodaya 05:07, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2138-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2138-05-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2138-05-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2138-05-16","x-default":"https://vidhyamitra.com/city/ranchi/2138-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:32:15.261Z","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":"2026-06-02T03:32:15.261Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:32:15.261Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}