{"id":"vidhyamitra:city-day:ranchi:2172-01-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2172-01-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-01-12","date_display":"January 12, 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":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514377.770833,"kali_year":5273,"ahargana":1925912.2708,"sun":{"sidereal_longitude":264.5584,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":93.9965,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.4381,"elapsed_within_tithi_degrees":9.4381},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.9965,"elapsed_within_degrees":0.6632},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":358.5549},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514377.770833,"ahargana":1925912.2708,"kali_year":5273,"ayanamsa_lahiri":26.2561,"grahas":{"sun":{"sidereal_longitude":265.12543700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":94.12003700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":4.403},"mars":{"sidereal_longitude":170.850637,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":272.15623700000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":196.67733699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":307.479637,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":316.7298370000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":15.8998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":195.8998,"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":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514377.770833,"kali_year":5273,"ahargana":1925912.2708,"sun":{"sidereal_longitude":264.5584,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":93.9965,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.4381,"elapsed_within_tithi_degrees":9.4381},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.9965,"elapsed_within_degrees":0.6632},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":358.5549},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.403,"elongation":170.562},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.403,"opposition_distance":9.438}},"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":"06:33","sunsetLocal":"17:21","solarNoonLocal":"11:57","dayLengthHours":10.810866751993313,"dayLengthDisplay":"10 Hours 48 Mins 39 Secs","nightLengthDisplay":"13 Hours 11 Mins 21 Secs","moonriseLocal":"17:54","moonsetLocal":"07:12","rahuKala":{"name":"Rāhu Kāla","start":"16:00","end":"17:21","startHours":16.004526409270454,"endHours":17.35588475326962,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:57","end":"13:18","startHours":11.950451377272964,"endHours":13.301809721272129,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:39","end":"16:00","startHours":14.653168065271291,"endHours":16.004526409270454,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.067553576741414,"endHours":9.427915801807858,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.995470782609362,"endHours":7.2837605626625175,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:19","startHours":11.59008915220652,"endHours":12.310813602339408,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.103569101010533,"endHours":5.82429355114342,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:33","startHours":5.644112438610199,"endHours":6.545018001276308,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:45","end":"14:28","startHours":13.752262502605184,"endHours":14.472986952738072,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.15588475326962,"endHours":17.55588475326962,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:48","startHours":17.35588475326962,"endHours":17.806337534602676,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.10588475326962,"endHours":18.85588475326962,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:19","startHours":23.59008915220652,"endHours":24.310813602339405,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:33","end":"07:54","startHours":6.545018001276308,"endHours":7.896376345275472,"quality":"inauspicious"},{"name":"Chala","start":"07:54","end":"09:15","startHours":7.896376345275472,"endHours":9.247734689274637,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:36","startHours":9.247734689274637,"endHours":10.5990930332738,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"11:57","startHours":10.5990930332738,"endHours":11.950451377272964,"quality":"auspicious"},{"name":"Kāla","start":"11:57","end":"13:18","startHours":11.950451377272964,"endHours":13.301809721272129,"quality":"inauspicious"},{"name":"Śubha","start":"13:18","end":"14:39","startHours":13.301809721272129,"endHours":14.653168065271291,"quality":"auspicious"},{"name":"Roga","start":"14:39","end":"16:00","startHours":14.653168065271291,"endHours":16.004526409270454,"quality":"inauspicious"},{"name":"Udveg","start":"16:00","end":"17:21","startHours":16.004526409270454,"endHours":17.35588475326962,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:21","end":"19:00","startHours":17.35588475326962,"endHours":19.004526409270458,"quality":"auspicious"},{"name":"Roga","start":"19:00","end":"20:39","startHours":19.004526409270458,"endHours":20.65316806527129,"quality":"inauspicious"},{"name":"Udveg","start":"20:39","end":"22:18","startHours":20.65316806527129,"endHours":22.30180972127213,"quality":"inauspicious"},{"name":"Chala","start":"22:18","end":"23:57","startHours":22.30180972127213,"endHours":23.950451377272962,"quality":"neutral"},{"name":"Labha","start":"23:57","end":"01:36","startHours":23.950451377272962,"endHours":25.5990930332738,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:15","startHours":25.5990930332738,"endHours":27.247734689274637,"quality":"auspicious"},{"name":"Kāla","start":"03:15","end":"04:54","startHours":27.247734689274637,"endHours":28.89637634527547,"quality":"inauspicious"},{"name":"Śubha","start":"04:54","end":"06:33","startHours":28.89637634527547,"endHours":30.545018001276308,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.545018001276308,"endHours":7.545018001276308,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.545018001276308,"endHours":8.545018001276308,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.545018001276308,"endHours":9.545018001276308,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.545018001276308,"endHours":10.545018001276308,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.545018001276308,"endHours":11.545018001276308,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.545018001276308,"endHours":12.545018001276308,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.545018001276308,"endHours":13.545018001276308,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.545018001276308,"endHours":14.545018001276308,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.545018001276308,"endHours":15.545018001276308,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.545018001276308,"endHours":16.545018001276308,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.545018001276308,"endHours":17.545018001276308,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.545018001276308,"endHours":18.545018001276308,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.545018001276308,"endHours":19.545018001276308,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.545018001276308,"endHours":20.545018001276308,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.545018001276308,"endHours":21.545018001276308,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.545018001276308,"endHours":22.545018001276308,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.545018001276308,"endHours":23.545018001276308,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.545018001276308,"endHours":24.545018001276308,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.545018001276308,"endHours":25.545018001276308,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.545018001276308,"endHours":26.545018001276308,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.545018001276308,"endHours":27.545018001276308,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.545018001276308,"endHours":28.545018001276308,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.545018001276308,"endHours":29.545018001276308,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.545018001276308,"endHours":30.545018001276308,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","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":-21.737689523046207,"eotMinutes":-8.265482636377905,"ayanamsa":26.2561}},"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 12, 2172 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 12, 2172 CE for Ranchi, Jharkhand: Kṛṣṇa Pratipada, sūryodaya 06:33, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2172-01-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2172-01-12","sa":"https://sa.vidhyamitra.com/city/ranchi/2172-01-12","hi":"https://hi.vidhyamitra.com/city/ranchi/2172-01-12","x-default":"https://vidhyamitra.com/city/ranchi/2172-01-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T16:27:00.194Z","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":"2026-06-03T16:27:00.194Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T16:27:00.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}