{"id":"vidhyamitra:city-day:ranchi:2157-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2157-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-01-04","date_display":"January 4, 2157 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":2157,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508891.770833,"kali_year":5258,"ahargana":1920426.2708,"sun":{"sidereal_longitude":257.2404,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":171.2235,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.9831,"elapsed_within_tithi_degrees":9.9831},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.2235,"elapsed_within_degrees":11.2235},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.4639},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2157,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508891.770833,"ahargana":1920426.2708,"kali_year":5258,"ayanamsa_lahiri":26.0463,"grahas":{"sun":{"sidereal_longitude":257.83554200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":169.74714199999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":-3.1608},"mars":{"sidereal_longitude":174.85814200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":239.21314200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":103.01244200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":246.13924199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":156.027242,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":306.5744,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":126.5744,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2157,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508891.770833,"kali_year":5258,"ahargana":1920426.2708,"sun":{"sidereal_longitude":257.2404,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":171.2235,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.9831,"elapsed_within_tithi_degrees":9.9831},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.2235,"elapsed_within_degrees":11.2235},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.4639},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.161,"elongation":86.017},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.161,"opposition_distance":93.983}},"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":"17:16","solarNoonLocal":"11:54","dayLengthHours":10.745442838714707,"dayLengthDisplay":"10 Hours 44 Mins 44 Secs","nightLengthDisplay":"13 Hours 15 Mins 16 Secs","moonriseLocal":"00:10","moonsetLocal":"11:53","rahuKala":{"name":"Rāhu Kāla","start":"14:35","end":"15:56","startHours":14.582785824101112,"endHours":15.92596617894045,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:13","end":"10:33","startHours":9.21006440474376,"endHours":10.553244759583098,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239605469261775,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.03097369076518,"endHours":9.389155118722337,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.971430480011528,"endHours":7.257975622377254,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.538243686465279,"endHours":12.254606542379591,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.090977983236455,"endHours":5.807340839150768,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.62825012517219,"endHours":6.523703695065082,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.68733225420822,"endHours":14.403695110122534,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.06914653377979,"endHours":17.46914653377979,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:43","startHours":17.26914653377979,"endHours":17.716873318726236,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.01914653377979,"endHours":18.76914653377979,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.53824368646528,"endHours":24.25460654237959,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:31","end":"07:52","startHours":6.523703695065082,"endHours":7.866884049904421,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:13","startHours":7.866884049904421,"endHours":9.21006440474376,"quality":"inauspicious"},{"name":"Chala","start":"09:13","end":"10:33","startHours":9.21006440474376,"endHours":10.553244759583098,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"11:54","startHours":10.553244759583098,"endHours":11.896425114422435,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239605469261775,"quality":"auspicious"},{"name":"Kāla","start":"13:14","end":"14:35","startHours":13.239605469261775,"endHours":14.582785824101112,"quality":"inauspicious"},{"name":"Śubha","start":"14:35","end":"15:56","startHours":14.582785824101112,"endHours":15.92596617894045,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:16","startHours":15.92596617894045,"endHours":17.26914653377979,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:16","end":"18:56","startHours":17.26914653377979,"endHours":18.925966178940453,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:35","startHours":18.925966178940453,"endHours":20.582785824101112,"quality":"auspicious"},{"name":"Roga","start":"20:35","end":"22:14","startHours":20.582785824101112,"endHours":22.239605469261775,"quality":"inauspicious"},{"name":"Udveg","start":"22:14","end":"23:54","startHours":22.239605469261775,"endHours":23.896425114422435,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:33","startHours":23.896425114422435,"endHours":25.553244759583098,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"03:13","startHours":25.553244759583098,"endHours":27.21006440474376,"quality":"auspicious"},{"name":"Amṛta","start":"03:13","end":"04:52","startHours":27.21006440474376,"endHours":28.86688404990442,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:31","startHours":28.86688404990442,"endHours":30.52370369506508,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.523703695065082,"endHours":7.523703695065082,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.523703695065082,"endHours":8.523703695065082,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.523703695065082,"endHours":9.523703695065082,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.523703695065082,"endHours":10.523703695065082,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.523703695065082,"endHours":11.523703695065082,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.523703695065082,"endHours":12.523703695065082,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.523703695065082,"endHours":13.523703695065082,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.523703695065082,"endHours":14.523703695065082,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.523703695065082,"endHours":15.523703695065082,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.523703695065082,"endHours":16.52370369506508,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.52370369506508,"endHours":17.52370369506508,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.52370369506508,"endHours":18.52370369506508,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.52370369506508,"endHours":19.52370369506508,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.52370369506508,"endHours":20.52370369506508,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.52370369506508,"endHours":21.52370369506508,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.52370369506508,"endHours":22.52370369506508,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.52370369506508,"endHours":23.52370369506508,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.52370369506508,"endHours":24.52370369506508,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.52370369506508,"endHours":25.52370369506508,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.52370369506508,"endHours":26.52370369506508,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.52370369506508,"endHours":27.52370369506508,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.52370369506508,"endHours":28.52370369506508,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.52370369506508,"endHours":29.52370369506508,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.52370369506508,"endHours":30.52370369506508,"planetary_lord":"Saturn"}],"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":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"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":-22.71302276912451,"eotMinutes":-5.02390686534617,"ayanamsa":26.0463}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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 Aṣṭamī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 4, 2157 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 4, 2157 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 06:31, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2157-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2157-01-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2157-01-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2157-01-04","x-default":"https://vidhyamitra.com/city/ranchi/2157-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:42:05.470Z","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":"2026-05-31T12:42:05.470Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:42:05.470Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}