{"id":"vidhyamitra:city-day:ranchi:2104-05-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2104-05-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-05-07","date_display":"May 7, 2104 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":2104,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489656.770833,"kali_year":5206,"ahargana":1901191.2708,"sun":{"sidereal_longitude":21.1253,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":164.4853,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.36,"elapsed_within_tithi_degrees":11.36},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.4853,"elapsed_within_degrees":4.4853},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.6107},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2104,"month":5,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489656.770833,"ahargana":1901191.2708,"kali_year":5206,"ayanamsa_lahiri":25.3106,"grahas":{"sun":{"sidereal_longitude":21.332960000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":166.12256000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.4475},"mars":{"sidereal_longitude":103.06306000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":357.55476,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":302.98155999999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":18.096859999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":225.54096000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":245.7373,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":65.7373,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489656.770833,"kali_year":5206,"ahargana":1901191.2708,"sun":{"sidereal_longitude":21.1253,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":164.4853,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.36,"elapsed_within_tithi_degrees":11.36},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.4853,"elapsed_within_degrees":4.4853},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.6107},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.448,"elongation":143.36},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.448,"opposition_distance":36.64}},"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":"05:11","sunsetLocal":"18:19","solarNoonLocal":"11:45","dayLengthHours":13.126469694145918,"dayLengthDisplay":"13 Hours 07 Mins 35 Secs","nightLengthDisplay":"10 Hours 52 Mins 25 Secs","moonriseLocal":"15:30","moonsetLocal":"03:19","rahuKala":{"name":"Rāhu Kāla","start":"11:45","end":"13:24","startHours":11.754165656549901,"endHours":13.394974368318142,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:50","end":"08:28","startHours":6.831739521245181,"endHours":8.47254823301342,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:07","end":"11:45","startHours":10.11335694478166,"endHours":11.754165656549901,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:15","end":"08:41","startHours":8.25377373811099,"endHours":8.691322727915853,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:44","end":"06:05","startHours":5.7378670467330215,"endHours":6.087906238576913,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.316616666745038,"endHours":12.191714646354765,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:19","startHours":3.4407348502574857,"endHours":4.3158328298672135,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:11","startHours":4.097058334964782,"endHours":5.190930809476941,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:49","startHours":13.941910605574222,"endHours":14.81700858518395,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.11740050362286,"endHours":18.51740050362286,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:52","startHours":18.31740050362286,"endHours":18.86433674087894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.06740050362286,"endHours":19.81740050362286,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.316616666745038,"endHours":24.191714646354765,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:11","end":"06:50","startHours":5.190930809476941,"endHours":6.831739521245181,"quality":"auspicious"},{"name":"Amṛta","start":"06:50","end":"08:28","startHours":6.831739521245181,"endHours":8.47254823301342,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"10:07","startHours":8.47254823301342,"endHours":10.11335694478166,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:45","startHours":10.11335694478166,"endHours":11.754165656549901,"quality":"auspicious"},{"name":"Roga","start":"11:45","end":"13:24","startHours":11.754165656549901,"endHours":13.394974368318142,"quality":"inauspicious"},{"name":"Udveg","start":"13:24","end":"15:02","startHours":13.394974368318142,"endHours":15.035783080086379,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:41","startHours":15.035783080086379,"endHours":16.67659179185462,"quality":"neutral"},{"name":"Labha","start":"16:41","end":"18:19","startHours":16.67659179185462,"endHours":18.31740050362286,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:19","end":"19:41","startHours":18.31740050362286,"endHours":19.67659179185462,"quality":"inauspicious"},{"name":"Chala","start":"19:41","end":"21:02","startHours":19.67659179185462,"endHours":21.035783080086382,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:24","startHours":21.035783080086382,"endHours":22.39497436831814,"quality":"auspicious"},{"name":"Amṛta","start":"22:24","end":"23:45","startHours":22.39497436831814,"endHours":23.7541656565499,"quality":"auspicious"},{"name":"Kāla","start":"23:45","end":"01:07","startHours":23.7541656565499,"endHours":25.11335694478166,"quality":"inauspicious"},{"name":"Śubha","start":"01:07","end":"02:28","startHours":25.11335694478166,"endHours":26.47254823301342,"quality":"auspicious"},{"name":"Roga","start":"02:28","end":"03:50","startHours":26.47254823301342,"endHours":27.831739521245183,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:11","startHours":27.831739521245183,"endHours":29.190930809476942,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.190930809476941,"endHours":6.190930809476941,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.190930809476941,"endHours":7.190930809476941,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.190930809476941,"endHours":8.190930809476942,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.190930809476942,"endHours":9.190930809476942,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.190930809476942,"endHours":10.190930809476942,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.190930809476942,"endHours":11.190930809476942,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.190930809476942,"endHours":12.190930809476942,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.190930809476942,"endHours":13.190930809476942,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.190930809476942,"endHours":14.190930809476942,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.190930809476942,"endHours":15.190930809476942,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.190930809476942,"endHours":16.190930809476942,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.190930809476942,"endHours":17.190930809476942,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.190930809476942,"endHours":18.190930809476942,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.190930809476942,"endHours":19.190930809476942,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.190930809476942,"endHours":20.190930809476942,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.190930809476942,"endHours":21.190930809476942,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.190930809476942,"endHours":22.190930809476942,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.190930809476942,"endHours":23.190930809476942,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.190930809476942,"endHours":24.190930809476942,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.190930809476942,"endHours":25.190930809476942,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.190930809476942,"endHours":26.190930809476942,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.190930809476942,"endHours":27.190930809476942,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.190930809476942,"endHours":28.190930809476942,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.190930809476942,"endHours":29.190930809476942,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.80946941947914,"eotMinutes":3.5116606070058483,"ayanamsa":25.3106}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"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 Dvādaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[],"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 May 7, 2104 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 7, 2104 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 05:11, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2104-05-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2104-05-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2104-05-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2104-05-07","x-default":"https://vidhyamitra.com/city/ranchi/2104-05-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:42:26.549Z","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":"2026-05-31T18:42:26.549Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:42:26.549Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}