{"id":"vidhyamitra:city-day:ranchi:2172-01-23:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2172-01-23","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-01-23","date_display":"January 23, 2172 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":2172,"month":1,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514388.770833,"kali_year":5273,"ahargana":1925923.2708,"sun":{"sidereal_longitude":275.8542,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":245.7562,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.902,"elapsed_within_tithi_degrees":5.902},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.7562,"elapsed_within_degrees":5.7562},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.6103},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2172,"month":1,"day":23,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514388.770833,"ahargana":1925923.2708,"kali_year":5273,"ayanamsa_lahiri":26.2565,"grahas":{"sun":{"sidereal_longitude":276.32801599999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":244.12651600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-3.4678},"mars":{"sidereal_longitude":175.27051600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":290.067316,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":198.107216,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":319.86921600000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":317.784216,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":15.3169,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":195.3169,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2172,"month":1,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514388.770833,"kali_year":5273,"ahargana":1925923.2708,"sun":{"sidereal_longitude":275.8542,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":245.7562,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.902,"elapsed_within_tithi_degrees":5.902},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":245.7562,"elapsed_within_degrees":5.7562},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.6103},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.468,"elongation":30.098},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.468,"opposition_distance":149.902}},"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":"17:29","solarNoonLocal":"12:01","dayLengthHours":10.952361004645374,"dayLengthDisplay":"10 Hours 57 Mins 08 Secs","nightLengthDisplay":"13 Hours 02 Mins 52 Secs","moonriseLocal":"04:32","moonsetLocal":"15:11","rahuKala":{"name":"Rāhu Kāla","start":"13:23","end":"14:45","startHours":13.378491751915966,"endHours":14.747536877496637,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:32","end":"07:54","startHours":6.5332661240126075,"endHours":7.9023112495932795,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:38","startHours":9.271356375173951,"endHours":10.640401500754622,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.088817025096528,"endHours":9.453895725251375,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.989614499206165,"endHours":7.281677459330042,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:22","startHours":11.644367926180449,"endHours":12.374525326490142,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:48","startHours":5.072951323393225,"endHours":5.803108723702916,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:32","startHours":5.620569373625493,"endHours":6.5332661240126075,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:34","startHours":13.834840127109523,"endHours":14.564997527419214,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.285627128657982,"endHours":17.68562712865798,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:57","startHours":17.48562712865798,"endHours":17.941975503851538,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.23562712865798,"endHours":18.98562712865798,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:22","startHours":23.64436792618045,"endHours":24.374525326490144,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:32","end":"07:54","startHours":6.5332661240126075,"endHours":7.9023112495932795,"quality":"auspicious"},{"name":"Roga","start":"07:54","end":"09:16","startHours":7.9023112495932795,"endHours":9.271356375173951,"quality":"inauspicious"},{"name":"Udveg","start":"09:16","end":"10:38","startHours":9.271356375173951,"endHours":10.640401500754622,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:01","startHours":10.640401500754622,"endHours":12.009446626335293,"quality":"neutral"},{"name":"Labha","start":"12:01","end":"13:23","startHours":12.009446626335293,"endHours":13.378491751915966,"quality":"auspicious"},{"name":"Amṛta","start":"13:23","end":"14:45","startHours":13.378491751915966,"endHours":14.747536877496637,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:07","startHours":14.747536877496637,"endHours":16.116582003077312,"quality":"inauspicious"},{"name":"Śubha","start":"16:07","end":"17:29","startHours":16.116582003077312,"endHours":17.48562712865798,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:29","end":"19:07","startHours":17.48562712865798,"endHours":19.11658200307731,"quality":"auspicious"},{"name":"Kāla","start":"19:07","end":"20:45","startHours":19.11658200307731,"endHours":20.74753687749664,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:23","startHours":20.74753687749664,"endHours":22.378491751915966,"quality":"auspicious"},{"name":"Roga","start":"22:23","end":"00:01","startHours":22.378491751915966,"endHours":24.009446626335293,"quality":"inauspicious"},{"name":"Udveg","start":"00:01","end":"01:38","startHours":24.009446626335293,"endHours":25.64040150075462,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:16","startHours":25.64040150075462,"endHours":27.27135637517395,"quality":"neutral"},{"name":"Labha","start":"03:16","end":"04:54","startHours":27.27135637517395,"endHours":28.90231124959328,"quality":"auspicious"},{"name":"Amṛta","start":"04:54","end":"06:32","startHours":28.90231124959328,"endHours":30.533266124012606,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.5332661240126075,"endHours":7.5332661240126075,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.5332661240126075,"endHours":8.533266124012608,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.533266124012608,"endHours":9.533266124012608,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.533266124012608,"endHours":10.533266124012608,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.533266124012608,"endHours":11.533266124012608,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.533266124012608,"endHours":12.533266124012608,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.533266124012608,"endHours":13.533266124012608,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.533266124012608,"endHours":14.533266124012608,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.533266124012608,"endHours":15.533266124012608,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.533266124012608,"endHours":16.533266124012606,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.533266124012606,"endHours":17.533266124012606,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.533266124012606,"endHours":18.533266124012606,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.533266124012606,"endHours":19.533266124012606,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.533266124012606,"endHours":20.533266124012606,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.533266124012606,"endHours":21.533266124012606,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.533266124012606,"endHours":22.533266124012606,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.533266124012606,"endHours":23.533266124012606,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.533266124012606,"endHours":24.533266124012606,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.533266124012606,"endHours":25.533266124012606,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.533266124012606,"endHours":26.533266124012606,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.533266124012606,"endHours":27.533266124012606,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.533266124012606,"endHours":28.533266124012606,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.533266124012606,"endHours":29.533266124012606,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.533266124012606,"endHours":30.533266124012606,"planetary_lord":"Moon"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.580356000285576,"eotMinutes":-11.805197580117738,"ayanamsa":26.2565}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 23, 2172 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 23, 2172 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 06:32, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2172-01-23","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2172-01-23","sa":"https://sa.vidhyamitra.com/city/ranchi/2172-01-23","hi":"https://hi.vidhyamitra.com/city/ranchi/2172-01-23","x-default":"https://vidhyamitra.com/city/ranchi/2172-01-23"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T13:53:45.231Z","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":"2026-06-03T13:53:45.231Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T13:53:45.231Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}