{"id":"vidhyamitra:city-day:ranchi:2185-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2185-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2185-01-15","date_display":"January 15, 2185 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":2185,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519129.770833,"kali_year":5286,"ahargana":1930664.2708,"sun":{"sidereal_longitude":268.2946,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":76.7768,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.4822,"elapsed_within_tithi_degrees":0.4822},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.7768,"elapsed_within_degrees":10.1101},"yoga":{"number":26,"name":"Indra","sum_longitude":345.0714},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2185,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2519129.770833,"ahargana":1930664.2708,"kali_year":5286,"ayanamsa_lahiri":26.4379,"grahas":{"sun":{"sidereal_longitude":268.860375,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":75.68467499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-3.3076},"mars":{"sidereal_longitude":136.99087500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":276.2192749999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":226.74827500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":294.1269749999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":136.90117500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":124.1159,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":304.1159,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"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":2185,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519129.770833,"kali_year":5286,"ahargana":1930664.2708,"sun":{"sidereal_longitude":268.2946,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":76.7768,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.4822,"elapsed_within_tithi_degrees":0.4822},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.7768,"elapsed_within_degrees":10.1101},"yoga":{"number":26,"name":"Indra","sum_longitude":345.0714},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.308,"elongation":168.482},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.308,"opposition_distance":11.518}},"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":"17:24","solarNoonLocal":"11:58","dayLengthHours":10.854790837175447,"dayLengthDisplay":"10 Hours 51 Mins 17 Secs","nightLengthDisplay":"13 Hours 08 Mins 43 Secs","moonriseLocal":"16:21","moonsetLocal":"05:50","rahuKala":{"name":"Rāhu Kāla","start":"09:15","end":"10:37","startHours":9.254828114808358,"endHours":10.611676969455289,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:20","end":"14:41","startHours":13.32537467874915,"endHours":14.682223533396083,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:32","end":"07:54","startHours":6.5411304055144965,"endHours":7.897979260161428,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.073914934188767,"endHours":9.435741295427949,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.993413357063473,"endHours":7.2828744460548185,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:20","startHours":11.60669946286304,"endHours":12.330352185341402,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.09382496055777,"endHours":5.817477683036134,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.636564502416543,"endHours":6.5411304055144965,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:47","end":"14:30","startHours":13.777657630298126,"endHours":14.501310352776489,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.195921242689945,"endHours":17.595921242689943,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:51","startHours":17.395921242689944,"endHours":17.84820419423892,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.145921242689944,"endHours":18.895921242689944,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:20","startHours":23.60669946286304,"endHours":24.330352185341404,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:32","end":"07:54","startHours":6.5411304055144965,"endHours":7.897979260161428,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:15","startHours":7.897979260161428,"endHours":9.254828114808358,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:37","startHours":9.254828114808358,"endHours":10.611676969455289,"quality":"inauspicious"},{"name":"Udveg","start":"10:37","end":"11:58","startHours":10.611676969455289,"endHours":11.968525824102219,"quality":"inauspicious"},{"name":"Chala","start":"11:58","end":"13:20","startHours":11.968525824102219,"endHours":13.32537467874915,"quality":"neutral"},{"name":"Labha","start":"13:20","end":"14:41","startHours":13.32537467874915,"endHours":14.682223533396083,"quality":"auspicious"},{"name":"Amṛta","start":"14:41","end":"16:02","startHours":14.682223533396083,"endHours":16.039072388043014,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"17:24","startHours":16.039072388043014,"endHours":17.395921242689944,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:24","end":"19:02","startHours":17.395921242689944,"endHours":19.039072388043014,"quality":"auspicious"},{"name":"Amṛta","start":"19:02","end":"20:41","startHours":19.039072388043014,"endHours":20.682223533396083,"quality":"auspicious"},{"name":"Kāla","start":"20:41","end":"22:20","startHours":20.682223533396083,"endHours":22.32537467874915,"quality":"inauspicious"},{"name":"Śubha","start":"22:20","end":"23:58","startHours":22.32537467874915,"endHours":23.968525824102223,"quality":"auspicious"},{"name":"Roga","start":"23:58","end":"01:37","startHours":23.968525824102223,"endHours":25.61167696945529,"quality":"inauspicious"},{"name":"Udveg","start":"01:37","end":"03:15","startHours":25.61167696945529,"endHours":27.254828114808358,"quality":"inauspicious"},{"name":"Chala","start":"03:15","end":"04:54","startHours":27.254828114808358,"endHours":28.897979260161428,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:32","startHours":28.897979260161428,"endHours":30.541130405514497,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.5411304055144965,"endHours":7.5411304055144965,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.5411304055144965,"endHours":8.541130405514497,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.541130405514497,"endHours":9.541130405514497,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.541130405514497,"endHours":10.541130405514497,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.541130405514497,"endHours":11.541130405514497,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.541130405514497,"endHours":12.541130405514497,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.541130405514497,"endHours":13.541130405514497,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.541130405514497,"endHours":14.541130405514497,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.541130405514497,"endHours":15.541130405514497,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.541130405514497,"endHours":16.541130405514497,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.541130405514497,"endHours":17.541130405514497,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.541130405514497,"endHours":18.541130405514497,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.541130405514497,"endHours":19.541130405514497,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.541130405514497,"endHours":20.541130405514497,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.541130405514497,"endHours":21.541130405514497,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.541130405514497,"endHours":22.541130405514497,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.541130405514497,"endHours":23.541130405514497,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.541130405514497,"endHours":24.541130405514497,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.541130405514497,"endHours":25.541130405514497,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.541130405514497,"endHours":26.541130405514497,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.541130405514497,"endHours":27.541130405514497,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.541130405514497,"endHours":28.541130405514497,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.541130405514497,"endHours":29.541130405514497,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.541130405514497,"endHours":30.541130405514497,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","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":-21.074901676613234,"eotMinutes":-9.349949446133257,"ayanamsa":26.4379}},"calendars":{"vikram_samvat":2242,"vikram_samvatsara":"Vilambī","saka_samvat":2107,"saka_samvatsara":"Pārthiva","bengali_samvat":1592,"malayalam_era":1361,"nanakshahi_year":716,"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 Pūrṇimā · Vikram 2242 Vilambī · Śaka 2107 Pārthiva"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3},{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 15, 2185 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 15, 2185 CE for Ranchi, Jharkhand: Śukla Pūrṇimā, sūryodaya 06:32, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2185-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2185-01-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2185-01-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2185-01-15","x-default":"https://vidhyamitra.com/city/ranchi/2185-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-07T18:04:53.777Z","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":"2026-06-07T18:04:53.777Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-07T18:04:53.777Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}