{"id":"vidhyamitra:city-day:ranchi:2192-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2192-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2192-01-04","date_display":"January 4, 2192 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":2192,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2521674.770833,"kali_year":5293,"ahargana":1933209.2708,"sun":{"sidereal_longitude":256.1542,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8316,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.6774,"elapsed_within_tithi_degrees":4.6774},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8316,"elapsed_within_degrees":8.8316},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.9858},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2192,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2521674.770833,"ahargana":1933209.2708,"kali_year":5293,"ayanamsa_lahiri":26.5352,"grahas":{"sun":{"sidereal_longitude":256.841637,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":126.29023700000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":2.9171},"mars":{"sidereal_longitude":327.004737,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":261.89343699999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":81.62793699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":228.71333700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":218.27793700000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":349.2696,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.2696,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2192,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2521674.770833,"kali_year":5293,"ahargana":1933209.2708,"sun":{"sidereal_longitude":256.1542,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8316,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.6774,"elapsed_within_tithi_degrees":4.6774},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8316,"elapsed_within_degrees":8.8316},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.9858},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.917,"elongation":127.323},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.917,"opposition_distance":52.677}},"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":"06:32","sunsetLocal":"17:16","solarNoonLocal":"11:54","dayLengthHours":10.741973503309808,"dayLengthDisplay":"10 Hours 44 Mins 31 Secs","nightLengthDisplay":"13 Hours 15 Mins 29 Secs","moonriseLocal":"20:51","moonsetLocal":"09:32","rahuKala":{"name":"Rāhu Kāla","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239171802336163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:13","startHours":7.868185050681258,"endHours":9.210931738594983,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"11:54","startHours":10.55367842650871,"endHours":11.896425114422435,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.031898846873155,"endHours":9.389964630316815,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.973020592072107,"endHours":7.2594732188270354,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.538359330978775,"endHours":12.254490897866095,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.093175228992891,"endHours":5.809306795880211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.630273904158381,"endHours":6.525438362767532,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.686754031640737,"endHours":14.402885598528057,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.06741186607734,"endHours":17.467411866077338,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:43","startHours":17.26741186607734,"endHours":17.714994095381915,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.01741186607734,"endHours":18.76741186607734,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.538359330978775,"endHours":24.254490897866095,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"07:52","startHours":6.525438362767532,"endHours":7.868185050681258,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:13","startHours":7.868185050681258,"endHours":9.210931738594983,"quality":"auspicious"},{"name":"Kāla","start":"09:13","end":"10:33","startHours":9.210931738594983,"endHours":10.55367842650871,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"11:54","startHours":10.55367842650871,"endHours":11.896425114422435,"quality":"auspicious"},{"name":"Roga","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239171802336163,"quality":"inauspicious"},{"name":"Udveg","start":"13:14","end":"14:35","startHours":13.239171802336163,"endHours":14.581918490249887,"quality":"inauspicious"},{"name":"Chala","start":"14:35","end":"15:55","startHours":14.581918490249887,"endHours":15.924665178163615,"quality":"neutral"},{"name":"Labha","start":"15:55","end":"17:16","startHours":15.924665178163615,"endHours":17.26741186607734,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:16","end":"18:55","startHours":17.26741186607734,"endHours":18.924665178163615,"quality":"inauspicious"},{"name":"Chala","start":"18:55","end":"20:35","startHours":18.924665178163615,"endHours":20.581918490249887,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"22:14","startHours":20.581918490249887,"endHours":22.23917180233616,"quality":"auspicious"},{"name":"Amṛta","start":"22:14","end":"23:54","startHours":22.23917180233616,"endHours":23.896425114422435,"quality":"auspicious"},{"name":"Kāla","start":"23:54","end":"01:33","startHours":23.896425114422435,"endHours":25.55367842650871,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"03:13","startHours":25.55367842650871,"endHours":27.210931738594983,"quality":"auspicious"},{"name":"Roga","start":"03:13","end":"04:52","startHours":27.210931738594983,"endHours":28.868185050681255,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:32","startHours":28.868185050681255,"endHours":30.52543836276753,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.525438362767532,"endHours":7.525438362767532,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.525438362767532,"endHours":8.525438362767531,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.525438362767531,"endHours":9.525438362767531,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.525438362767531,"endHours":10.525438362767531,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.525438362767531,"endHours":11.525438362767531,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.525438362767531,"endHours":12.525438362767531,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.525438362767531,"endHours":13.525438362767531,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.525438362767531,"endHours":14.525438362767531,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.525438362767531,"endHours":15.525438362767531,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.525438362767531,"endHours":16.52543836276753,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.52543836276753,"endHours":17.52543836276753,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.52543836276753,"endHours":18.52543836276753,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.52543836276753,"endHours":19.52543836276753,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.52543836276753,"endHours":20.52543836276753,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.52543836276753,"endHours":21.52543836276753,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.52543836276753,"endHours":22.52543836276753,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.52543836276753,"endHours":23.52543836276753,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.52543836276753,"endHours":24.52543836276753,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.52543836276753,"endHours":25.52543836276753,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.52543836276753,"endHours":26.52543836276753,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.52543836276753,"endHours":27.52543836276753,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.52543836276753,"endHours":28.52543836276753,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.52543836276753,"endHours":29.52543836276753,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.52543836276753,"endHours":30.52543836276753,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","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":-22.764341087993024,"eotMinutes":-5.02390686534617,"ayanamsa":26.5352}},"calendars":{"vikram_samvat":2249,"vikram_samvatsara":"Viśvāvasu","saka_samvat":2114,"saka_samvatsara":"Nandana","bengali_samvat":1599,"malayalam_era":1368,"nanakshahi_year":723,"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 Pañcamī · Vikram 2249 Viśvāvasu · Śaka 2114 Nandana"},"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 January 4, 2192 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 4, 2192 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 06:32, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2192-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2192-01-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2192-01-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2192-01-04","x-default":"https://vidhyamitra.com/city/ranchi/2192-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T18:37:55.269Z","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":"2026-06-04T18:37:55.269Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T18:37:55.269Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}