{"id":"vidhyamitra:city-day:ranchi:2050-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2050-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-01","date_display":"January 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":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469807.770833,"kali_year":5151,"ahargana":1881342.2708,"sun":{"sidereal_longitude":255.8904,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":351.5208,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.6304,"elapsed_within_tithi_degrees":11.6304},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.5208,"elapsed_within_degrees":4.8541},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.4112},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469807.770833,"ahargana":1881342.2708,"kali_year":5151,"ayanamsa_lahiri":24.5515,"grahas":{"sun":{"sidereal_longitude":256.246138,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.628238,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":3.2306},"mars":{"sidereal_longitude":202.45413800000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":244.67543799999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":96.49503800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":256.081638,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":272.314338,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":217.4328,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.4328,"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":2050,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469807.770833,"kali_year":5151,"ahargana":1881342.2708,"sun":{"sidereal_longitude":255.8904,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":351.5208,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.6304,"elapsed_within_tithi_degrees":11.6304},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.5208,"elapsed_within_degrees":4.8541},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.4112},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.231,"elongation":95.63},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.231,"opposition_distance":84.37}},"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":"06:31","sunsetLocal":"17:14","solarNoonLocal":"11:52","dayLengthHours":10.726177563989516,"dayLengthDisplay":"10 Hours 43 Mins 34 Secs","nightLengthDisplay":"13 Hours 16 Mins 26 Secs","moonriseLocal":"12:10","moonsetLocal":"00:42","rahuKala":{"name":"Rāhu Kāla","start":"09:12","end":"10:32","startHours":9.192901914392557,"endHours":10.533674109891246,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:13","end":"14:33","startHours":13.215218500888625,"endHours":14.555990696387315,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:31","end":"07:51","startHours":6.511357523395177,"endHours":7.852129718893867,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:22","startHours":9.014132288326064,"endHours":9.371671540459047,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:15","startHours":6.958281588561407,"endHours":7.244312990267794,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:14","startHours":11.51690705325695,"endHours":12.231985557522918,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.081200514863242,"endHours":5.7962790191292095,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:31","startHours":5.617509393062718,"endHours":6.511357523395177,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:23","startHours":13.662142566054854,"endHours":14.377221070320822,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.037535087384693,"endHours":17.437535087384692,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:41","startHours":17.237535087384693,"endHours":17.68445915255092,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.987535087384693,"endHours":18.737535087384693,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:14","startHours":23.51690705325695,"endHours":24.23198555752292,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:31","end":"07:51","startHours":6.511357523395177,"endHours":7.852129718893867,"quality":"inauspicious"},{"name":"Śubha","start":"07:51","end":"09:12","startHours":7.852129718893867,"endHours":9.192901914392557,"quality":"auspicious"},{"name":"Roga","start":"09:12","end":"10:32","startHours":9.192901914392557,"endHours":10.533674109891246,"quality":"inauspicious"},{"name":"Udveg","start":"10:32","end":"11:52","startHours":10.533674109891246,"endHours":11.874446305389935,"quality":"inauspicious"},{"name":"Chala","start":"11:52","end":"13:13","startHours":11.874446305389935,"endHours":13.215218500888625,"quality":"neutral"},{"name":"Labha","start":"13:13","end":"14:33","startHours":13.215218500888625,"endHours":14.555990696387315,"quality":"auspicious"},{"name":"Amṛta","start":"14:33","end":"15:54","startHours":14.555990696387315,"endHours":15.896762891886002,"quality":"auspicious"},{"name":"Kāla","start":"15:54","end":"17:14","startHours":15.896762891886002,"endHours":17.237535087384693,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:14","end":"18:54","startHours":17.237535087384693,"endHours":18.896762891886002,"quality":"auspicious"},{"name":"Amṛta","start":"18:54","end":"20:33","startHours":18.896762891886002,"endHours":20.555990696387312,"quality":"auspicious"},{"name":"Kāla","start":"20:33","end":"22:13","startHours":20.555990696387312,"endHours":22.215218500888625,"quality":"inauspicious"},{"name":"Śubha","start":"22:13","end":"23:52","startHours":22.215218500888625,"endHours":23.874446305389935,"quality":"auspicious"},{"name":"Roga","start":"23:52","end":"01:32","startHours":23.874446305389935,"endHours":25.533674109891244,"quality":"inauspicious"},{"name":"Udveg","start":"01:32","end":"03:12","startHours":25.533674109891244,"endHours":27.192901914392557,"quality":"inauspicious"},{"name":"Chala","start":"03:12","end":"04:51","startHours":27.192901914392557,"endHours":28.852129718893867,"quality":"neutral"},{"name":"Labha","start":"04:51","end":"06:31","startHours":28.852129718893867,"endHours":30.511357523395176,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.511357523395177,"endHours":7.511357523395177,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.511357523395177,"endHours":8.511357523395176,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.511357523395176,"endHours":9.511357523395176,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.511357523395176,"endHours":10.511357523395176,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.511357523395176,"endHours":11.511357523395176,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.511357523395176,"endHours":12.511357523395176,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.511357523395176,"endHours":13.511357523395176,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.511357523395176,"endHours":14.511357523395176,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.511357523395176,"endHours":15.511357523395176,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.511357523395176,"endHours":16.511357523395176,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.511357523395176,"endHours":17.511357523395176,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.511357523395176,"endHours":18.511357523395176,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.511357523395176,"endHours":19.511357523395176,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.511357523395176,"endHours":20.511357523395176,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.511357523395176,"endHours":21.511357523395176,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.511357523395176,"endHours":22.511357523395176,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.511357523395176,"endHours":23.511357523395176,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.511357523395176,"endHours":24.511357523395176,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.511357523395176,"endHours":25.511357523395176,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.511357523395176,"endHours":26.511357523395176,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.511357523395176,"endHours":27.511357523395176,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.511357523395176,"endHours":28.511357523395176,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.511357523395176,"endHours":29.511357523395176,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.511357523395176,"endHours":30.511357523395176,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.99747723997615,"eotMinutes":-3.705178323396069,"ayanamsa":24.5515}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","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 January 1, 2050 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 1, 2050 CE for Ranchi, Jharkhand: Śukla Aṣṭamī, sūryodaya 06:31, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2050-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2050-01-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2050-01-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2050-01-01","x-default":"https://vidhyamitra.com/city/ranchi/2050-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:08:37.303Z","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":"2026-05-31T06:08:37.303Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:08:37.303Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}