{"id":"vidhyamitra:city-day:ranchi:2051-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2051-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-01-01","date_display":"January 1, 2051 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":2051,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470172.770833,"kali_year":5152,"ahargana":1881707.2708,"sun":{"sidereal_longitude":255.6244,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.6238,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9994,"elapsed_within_tithi_degrees":10.9994},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.6238,"elapsed_within_degrees":2.6238},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.2482},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2051,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470172.770833,"ahargana":1881707.2708,"kali_year":5152,"ayanamsa_lahiri":24.5654,"grahas":{"sun":{"sidereal_longitude":255.984193,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":120.79709300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-4.3558},"mars":{"sidereal_longitude":340.143193,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":232.75809299999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":130.28169300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":208.43919299999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":282.573093,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":198.0934,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.0934,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2051,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470172.770833,"kali_year":5152,"ahargana":1881707.2708,"sun":{"sidereal_longitude":255.6244,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.6238,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9994,"elapsed_within_tithi_degrees":10.9994},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.6238,"elapsed_within_degrees":2.6238},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.2482},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.356,"elongation":133.001},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.356,"opposition_distance":46.999}},"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":10.724829878594539,"dayLengthDisplay":"10 Hours 43 Mins 29 Secs","nightLengthDisplay":"13 Hours 16 Mins 31 Secs","moonriseLocal":"20:26","moonsetLocal":"09:17","rahuKala":{"name":"Rāhu Kāla","start":"15:54","end":"17:14","startHours":15.896257509862888,"endHours":17.236861244687205,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:52","end":"13:13","startHours":11.874446305389935,"endHours":13.215050040214253,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:33","end":"15:54","startHours":14.55565377503857,"endHours":15.896257509862888,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:22","startHours":9.014491671098058,"endHours":9.371986000384542,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.958899277700771,"endHours":7.24489474112996,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:14","startHours":11.51695197610345,"endHours":12.23194063467642,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.082054048946727,"endHours":5.797042707519696,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:31","startHours":5.618295542876455,"endHours":6.512031366092666,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:23","startHours":13.661917951822359,"endHours":14.376906610395327,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.036861244687206,"endHours":17.436861244687204,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:41","startHours":17.236861244687205,"endHours":17.68372915629531,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.986861244687205,"endHours":18.736861244687205,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:14","startHours":23.51695197610345,"endHours":24.23194063467642,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:31","end":"07:51","startHours":6.512031366092666,"endHours":7.8526351009169835,"quality":"inauspicious"},{"name":"Chala","start":"07:51","end":"09:12","startHours":7.8526351009169835,"endHours":9.193238835741301,"quality":"neutral"},{"name":"Labha","start":"09:12","end":"10:32","startHours":9.193238835741301,"endHours":10.533842570565618,"quality":"auspicious"},{"name":"Amṛta","start":"10:32","end":"11:52","startHours":10.533842570565618,"endHours":11.874446305389935,"quality":"auspicious"},{"name":"Kāla","start":"11:52","end":"13:13","startHours":11.874446305389935,"endHours":13.215050040214253,"quality":"inauspicious"},{"name":"Śubha","start":"13:13","end":"14:33","startHours":13.215050040214253,"endHours":14.55565377503857,"quality":"auspicious"},{"name":"Roga","start":"14:33","end":"15:54","startHours":14.55565377503857,"endHours":15.896257509862888,"quality":"inauspicious"},{"name":"Udveg","start":"15:54","end":"17:14","startHours":15.896257509862888,"endHours":17.236861244687205,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:14","end":"18:54","startHours":17.236861244687205,"endHours":18.896257509862888,"quality":"auspicious"},{"name":"Roga","start":"18:54","end":"20:33","startHours":18.896257509862888,"endHours":20.55565377503857,"quality":"inauspicious"},{"name":"Udveg","start":"20:33","end":"22:13","startHours":20.55565377503857,"endHours":22.21505004021425,"quality":"inauspicious"},{"name":"Chala","start":"22:13","end":"23:52","startHours":22.21505004021425,"endHours":23.874446305389935,"quality":"neutral"},{"name":"Labha","start":"23:52","end":"01:32","startHours":23.874446305389935,"endHours":25.533842570565618,"quality":"auspicious"},{"name":"Amṛta","start":"01:32","end":"03:12","startHours":25.533842570565618,"endHours":27.1932388357413,"quality":"auspicious"},{"name":"Kāla","start":"03:12","end":"04:51","startHours":27.1932388357413,"endHours":28.852635100916984,"quality":"inauspicious"},{"name":"Śubha","start":"04:51","end":"06:31","startHours":28.852635100916984,"endHours":30.512031366092664,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.512031366092666,"endHours":7.512031366092666,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.512031366092666,"endHours":8.512031366092666,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.512031366092666,"endHours":9.512031366092666,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.512031366092666,"endHours":10.512031366092666,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.512031366092666,"endHours":11.512031366092666,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.512031366092666,"endHours":12.512031366092666,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.512031366092666,"endHours":13.512031366092666,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.512031366092666,"endHours":14.512031366092666,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.512031366092666,"endHours":15.512031366092666,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.512031366092666,"endHours":16.512031366092664,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.512031366092664,"endHours":17.512031366092664,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.512031366092664,"endHours":18.512031366092664,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.512031366092664,"endHours":19.512031366092664,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.512031366092664,"endHours":20.512031366092664,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.512031366092664,"endHours":21.512031366092664,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.512031366092664,"endHours":22.512031366092664,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.512031366092664,"endHours":23.512031366092664,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.512031366092664,"endHours":24.512031366092664,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.512031366092664,"endHours":25.512031366092664,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.512031366092664,"endHours":26.512031366092664,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.512031366092664,"endHours":27.512031366092664,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.512031366092664,"endHours":28.512031366092664,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.512031366092664,"endHours":29.512031366092664,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.512031366092664,"endHours":30.512031366092664,"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":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.017328723974142,"eotMinutes":-3.705178323396069,"ayanamsa":24.5654}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Caturthī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 January 1, 2051 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 1, 2051 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 06:31, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2051-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2051-01-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2051-01-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2051-01-01","x-default":"https://vidhyamitra.com/city/ranchi/2051-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:30:49.659Z","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":"2026-06-03T02:30:49.659Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:30:49.659Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}