{"id":"vidhyamitra:city-day:ranchi:2160-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2160-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2160-01-14","date_display":"January 14, 2160 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":2160,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509996.770833,"kali_year":5261,"ahargana":1921531.2708,"sun":{"sidereal_longitude":266.7216,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":330.254,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":63.5324,"elapsed_within_tithi_degrees":3.5324},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.254,"elapsed_within_degrees":10.254},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.9756},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2160,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509996.770833,"ahargana":1921531.2708,"kali_year":5261,"ayanamsa_lahiri":26.0886,"grahas":{"sun":{"sidereal_longitude":267.2424229999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":326.637923,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":4.4586},"mars":{"sidereal_longitude":330.27582299999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":283.776023,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":193.61222299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":239.504323,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":191.88232300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":248.0262,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":68.0262,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"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":2160,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509996.770833,"kali_year":5261,"ahargana":1921531.2708,"sun":{"sidereal_longitude":266.7216,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":330.254,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":63.5324,"elapsed_within_tithi_degrees":3.5324},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.254,"elapsed_within_degrees":10.254},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.9756},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.459,"elongation":63.532},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.459,"opposition_distance":116.468}},"eclipse_window_40days":[{"offset_days":-20,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"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":"06:33","sunsetLocal":"17:23","solarNoonLocal":"11:58","dayLengthHours":10.831936487400139,"dayLengthDisplay":"10 Hours 49 Mins 55 Secs","nightLengthDisplay":"13 Hours 10 Mins 05 Secs","moonriseLocal":"09:58","moonsetLocal":"21:53","rahuKala":{"name":"Rāhu Kāla","start":"07:54","end":"09:15","startHours":7.900675900547419,"endHours":9.254667961472437,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"11:58","startHours":10.608660022397455,"endHours":11.962652083322471,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:19","end":"14:40","startHours":13.31664414424749,"endHours":14.670636205172507,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.074135686682435,"endHours":9.435200236262439,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.998014526597409,"endHours":7.2868661662614125,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:19","startHours":11.601587533742467,"endHours":12.323716632902478,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.102425641302384,"endHours":5.824554740462394,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:33","startHours":5.644022465672391,"endHours":6.5466838396224025,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:29","startHours":13.767974831222496,"endHours":14.490103930382505,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.178620327022543,"endHours":17.57862032702254,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:50","startHours":17.378620327022542,"endHours":17.829951013997547,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.128620327022542,"endHours":18.878620327022542,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:19","startHours":23.60158753374247,"endHours":24.323716632902478,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:33","end":"07:54","startHours":6.5466838396224025,"endHours":7.900675900547419,"quality":"auspicious"},{"name":"Kāla","start":"07:54","end":"09:15","startHours":7.900675900547419,"endHours":9.254667961472437,"quality":"inauspicious"},{"name":"Śubha","start":"09:15","end":"10:37","startHours":9.254667961472437,"endHours":10.608660022397455,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"11:58","startHours":10.608660022397455,"endHours":11.962652083322471,"quality":"inauspicious"},{"name":"Udveg","start":"11:58","end":"13:19","startHours":11.962652083322471,"endHours":13.31664414424749,"quality":"inauspicious"},{"name":"Chala","start":"13:19","end":"14:40","startHours":13.31664414424749,"endHours":14.670636205172507,"quality":"neutral"},{"name":"Labha","start":"14:40","end":"16:01","startHours":14.670636205172507,"endHours":16.024628266097523,"quality":"auspicious"},{"name":"Amṛta","start":"16:01","end":"17:23","startHours":16.024628266097523,"endHours":17.378620327022542,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:23","end":"19:01","startHours":17.378620327022542,"endHours":19.024628266097526,"quality":"neutral"},{"name":"Labha","start":"19:01","end":"20:40","startHours":19.024628266097526,"endHours":20.670636205172507,"quality":"auspicious"},{"name":"Amṛta","start":"20:40","end":"22:19","startHours":20.670636205172507,"endHours":22.31664414424749,"quality":"auspicious"},{"name":"Kāla","start":"22:19","end":"23:58","startHours":22.31664414424749,"endHours":23.962652083322475,"quality":"inauspicious"},{"name":"Śubha","start":"23:58","end":"01:37","startHours":23.962652083322475,"endHours":25.608660022397455,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"03:15","startHours":25.608660022397455,"endHours":27.25466796147244,"quality":"inauspicious"},{"name":"Udveg","start":"03:15","end":"04:54","startHours":27.25466796147244,"endHours":28.90067590054742,"quality":"inauspicious"},{"name":"Chala","start":"04:54","end":"06:33","startHours":28.90067590054742,"endHours":30.546683839622403,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.5466838396224025,"endHours":7.5466838396224025,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.5466838396224025,"endHours":8.546683839622403,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.546683839622403,"endHours":9.546683839622403,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.546683839622403,"endHours":10.546683839622403,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.546683839622403,"endHours":11.546683839622403,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.546683839622403,"endHours":12.546683839622403,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.546683839622403,"endHours":13.546683839622403,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.546683839622403,"endHours":14.546683839622403,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.546683839622403,"endHours":15.546683839622403,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.546683839622403,"endHours":16.546683839622403,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.546683839622403,"endHours":17.546683839622403,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.546683839622403,"endHours":18.546683839622403,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.546683839622403,"endHours":19.546683839622403,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.546683839622403,"endHours":20.546683839622403,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.546683839622403,"endHours":21.546683839622403,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.546683839622403,"endHours":22.546683839622403,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.546683839622403,"endHours":23.546683839622403,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.546683839622403,"endHours":24.546683839622403,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.546683839622403,"endHours":25.546683839622403,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.546683839622403,"endHours":26.546683839622403,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.546683839622403,"endHours":27.546683839622403,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.546683839622403,"endHours":28.546683839622403,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.546683839622403,"endHours":29.546683839622403,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.546683839622403,"endHours":30.546683839622403,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","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":-21.420550360183036,"eotMinutes":-8.99752499934842,"ayanamsa":26.0886}},"calendars":{"vikram_samvat":2217,"vikram_samvatsara":"Śrīmukha","saka_samvat":2082,"saka_samvatsara":"Raudra","bengali_samvat":1567,"malayalam_era":1336,"nanakshahi_year":691,"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 Ṣaṣṭhī · Vikram 2217 Śrīmukha · Śaka 2082 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 14, 2160 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 14, 2160 CE for Ranchi, Jharkhand: Śukla Ṣaṣṭhī, sūryodaya 06:33, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2160-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2160-01-14","sa":"https://sa.vidhyamitra.com/city/ranchi/2160-01-14","hi":"https://hi.vidhyamitra.com/city/ranchi/2160-01-14","x-default":"https://vidhyamitra.com/city/ranchi/2160-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:38:10.181Z","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":"2026-06-03T03:38:10.181Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:38:10.181Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}