{"id":"vidhyamitra:city-day:ranchi:2050-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2050-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-05-01","date_display":"May 1, 2050 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":2050,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469927.770833,"kali_year":5152,"ahargana":1881462.2708,"sun":{"sidereal_longitude":16.2759,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":128.3394,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.0635,"elapsed_within_tithi_degrees":4.0635},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.3394,"elapsed_within_degrees":8.3394},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.6154},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2050,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469927.770833,"ahargana":1881462.2708,"kali_year":5152,"ayanamsa_lahiri":24.5561,"grahas":{"sun":{"sidereal_longitude":16.330452999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":129.518553,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-4.4638},"mars":{"sidereal_longitude":275.6536530000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":357.055753,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":91.640353,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":44.97865300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":283.381353,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":211.0747,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":31.0747,"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":2050,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469927.770833,"kali_year":5152,"ahargana":1881462.2708,"sun":{"sidereal_longitude":16.2759,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":128.3394,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.0635,"elapsed_within_tithi_degrees":4.0635},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.3394,"elapsed_within_degrees":8.3394},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.6154},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.464,"elongation":112.063},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.464,"opposition_distance":67.937}},"eclipse_window_40days":[{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":-0.621,"opposition_distance":0.75}]},"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":"05:15","sunsetLocal":"18:16","solarNoonLocal":"11:46","dayLengthHours":13.017298446800645,"dayLengthDisplay":"13 Hours 01 Mins 02 Secs","nightLengthDisplay":"10 Hours 58 Mins 58 Secs","moonriseLocal":"12:59","moonsetLocal":"01:39","rahuKala":{"name":"Rāhu Kāla","start":"16:39","end":"18:16","startHours":16.645546795400794,"endHours":18.272709101250875,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:46","end":"13:23","startHours":11.764059877850553,"endHours":13.391222183700634,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:01","end":"16:39","startHours":15.018384489550712,"endHours":16.645546795400794,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:44","startHours":8.292780292037047,"endHours":8.726690240263736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:09","startHours":5.79779808973359,"endHours":6.14492604831494,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:12","startHours":11.330149929623865,"endHours":12.197969826077241,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:23","startHours":3.519770861543477,"endHours":4.387590757996853,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:15","startHours":4.170635783883509,"endHours":5.2554106544502295,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:48","startHours":13.933609618983994,"endHours":14.80142951543737,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.072709101250876,"endHours":18.472709101250874,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:49","startHours":18.272709101250875,"endHours":18.815096536534234,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.022709101250875,"endHours":19.772709101250875,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:12","startHours":23.330149929623865,"endHours":24.19796982607724,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:15","end":"06:53","startHours":5.2554106544502295,"endHours":6.88257296030031,"quality":"inauspicious"},{"name":"Chala","start":"06:53","end":"08:31","startHours":6.88257296030031,"endHours":8.50973526615039,"quality":"neutral"},{"name":"Labha","start":"08:31","end":"10:08","startHours":8.50973526615039,"endHours":10.136897572000471,"quality":"auspicious"},{"name":"Amṛta","start":"10:08","end":"11:46","startHours":10.136897572000471,"endHours":11.764059877850553,"quality":"auspicious"},{"name":"Kāla","start":"11:46","end":"13:23","startHours":11.764059877850553,"endHours":13.391222183700634,"quality":"inauspicious"},{"name":"Śubha","start":"13:23","end":"15:01","startHours":13.391222183700634,"endHours":15.018384489550712,"quality":"auspicious"},{"name":"Roga","start":"15:01","end":"16:39","startHours":15.018384489550712,"endHours":16.645546795400794,"quality":"inauspicious"},{"name":"Udveg","start":"16:39","end":"18:16","startHours":16.645546795400794,"endHours":18.272709101250875,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:16","end":"19:39","startHours":18.272709101250875,"endHours":19.645546795400794,"quality":"auspicious"},{"name":"Roga","start":"19:39","end":"21:01","startHours":19.645546795400794,"endHours":21.018384489550712,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:23","startHours":21.018384489550712,"endHours":22.391222183700634,"quality":"inauspicious"},{"name":"Chala","start":"22:23","end":"23:46","startHours":22.391222183700634,"endHours":23.764059877850553,"quality":"neutral"},{"name":"Labha","start":"23:46","end":"01:08","startHours":23.764059877850553,"endHours":25.13689757200047,"quality":"auspicious"},{"name":"Amṛta","start":"01:08","end":"02:31","startHours":25.13689757200047,"endHours":26.509735266150393,"quality":"auspicious"},{"name":"Kāla","start":"02:31","end":"03:53","startHours":26.509735266150393,"endHours":27.882572960300312,"quality":"inauspicious"},{"name":"Śubha","start":"03:53","end":"05:15","startHours":27.882572960300312,"endHours":29.25541065445023,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.2554106544502295,"endHours":6.2554106544502295,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.2554106544502295,"endHours":7.2554106544502295,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.2554106544502295,"endHours":8.25541065445023,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.25541065445023,"endHours":9.25541065445023,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.25541065445023,"endHours":10.25541065445023,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.25541065445023,"endHours":11.25541065445023,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.25541065445023,"endHours":12.25541065445023,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.25541065445023,"endHours":13.25541065445023,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.25541065445023,"endHours":14.25541065445023,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.25541065445023,"endHours":15.25541065445023,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.25541065445023,"endHours":16.25541065445023,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.25541065445023,"endHours":17.25541065445023,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.25541065445023,"endHours":18.25541065445023,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.25541065445023,"endHours":19.25541065445023,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.25541065445023,"endHours":20.25541065445023,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.25541065445023,"endHours":21.25541065445023,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.25541065445023,"endHours":22.25541065445023,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.25541065445023,"endHours":23.25541065445023,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.25541065445023,"endHours":24.25541065445023,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.25541065445023,"endHours":25.25541065445023,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.25541065445023,"endHours":26.25541065445023,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.25541065445023,"endHours":27.25541065445023,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.25541065445023,"endHours":28.25541065445023,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.25541065445023,"endHours":29.25541065445023,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","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":15.090303510397227,"eotMinutes":2.918007328966811,"ayanamsa":24.5561}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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 Daśamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 1, 2050 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 1, 2050 CE for Ranchi, Jharkhand: Śukla Daśamī, sūryodaya 05:15, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2050-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2050-05-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2050-05-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2050-05-01","x-default":"https://vidhyamitra.com/city/ranchi/2050-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:48:15.165Z","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":"2026-06-01T03:48:15.165Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:48:15.165Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}