{"id":"vidhyamitra:city-day:ranchi:2172-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2172-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-09-01","date_display":"September 1, 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":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514610.770833,"kali_year":5274,"ahargana":1926145.2708,"sun":{"sidereal_longitude":131.9518,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":292.5094,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.5576,"elapsed_within_tithi_degrees":4.5576},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.5094,"elapsed_within_degrees":12.5094},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.4613},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2172,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514610.770833,"ahargana":1926145.2708,"kali_year":5274,"ayanamsa_lahiri":26.265,"grahas":{"sun":{"sidereal_longitude":133.05073400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":291.8578339999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-4.2555},"mars":{"sidereal_longitude":205.98093399999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":151.450534,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":195.30643399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":92.976834,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":331.04123400000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":3.5543,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":183.5543,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514610.770833,"kali_year":5274,"ahargana":1926145.2708,"sun":{"sidereal_longitude":131.9518,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":292.5094,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.5576,"elapsed_within_tithi_degrees":4.5576},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.5094,"elapsed_within_degrees":12.5094},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.4613},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.256,"elongation":160.558},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.256,"opposition_distance":19.442}},"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":"05:31","sunsetLocal":"18:06","solarNoonLocal":"11:48","dayLengthHours":12.590592099171626,"dayLengthDisplay":"12 Hours 35 Mins 26 Secs","nightLengthDisplay":"11 Hours 24 Mins 34 Secs","moonriseLocal":"16:48","moonsetLocal":"03:59","rahuKala":{"name":"Rāhu Kāla","start":"14:57","end":"16:32","startHours":14.952407727941683,"endHours":16.526231740338137,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:39","end":"10:14","startHours":8.657111678355871,"endHours":10.230935690752325,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:48","end":"13:23","startHours":11.804759703148779,"endHours":13.378583715545233,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.44726847670301,"endHours":8.866954880008732,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:22","startHours":6.034071657695116,"endHours":6.369820780339693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:13","startHours":11.385073299843055,"endHours":12.224446106454499,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:40","startHours":3.8307180403400816,"endHours":4.670090846951523,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:31","startHours":4.460247645298662,"endHours":5.509463653562965,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:45","startHours":13.903191719677384,"endHours":14.742564526288826,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.90005575273459,"endHours":18.30005575273459,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:37","startHours":18.10005575273459,"endHours":18.62466375686674,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.85005575273459,"endHours":19.60005575273459,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:13","startHours":23.385073299843054,"endHours":24.224446106454497,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:31","end":"07:05","startHours":5.509463653562965,"endHours":7.083287665959418,"quality":"inauspicious"},{"name":"Udveg","start":"07:05","end":"08:39","startHours":7.083287665959418,"endHours":8.657111678355871,"quality":"inauspicious"},{"name":"Chala","start":"08:39","end":"10:14","startHours":8.657111678355871,"endHours":10.230935690752325,"quality":"neutral"},{"name":"Labha","start":"10:14","end":"11:48","startHours":10.230935690752325,"endHours":11.804759703148779,"quality":"auspicious"},{"name":"Amṛta","start":"11:48","end":"13:23","startHours":11.804759703148779,"endHours":13.378583715545233,"quality":"auspicious"},{"name":"Kāla","start":"13:23","end":"14:57","startHours":13.378583715545233,"endHours":14.952407727941683,"quality":"inauspicious"},{"name":"Śubha","start":"14:57","end":"16:32","startHours":14.952407727941683,"endHours":16.526231740338137,"quality":"auspicious"},{"name":"Roga","start":"16:32","end":"18:06","startHours":16.526231740338137,"endHours":18.10005575273459,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:06","end":"19:32","startHours":18.10005575273459,"endHours":19.526231740338137,"quality":"inauspicious"},{"name":"Śubha","start":"19:32","end":"20:57","startHours":19.526231740338137,"endHours":20.952407727941683,"quality":"auspicious"},{"name":"Roga","start":"20:57","end":"22:23","startHours":20.952407727941683,"endHours":22.378583715545233,"quality":"inauspicious"},{"name":"Udveg","start":"22:23","end":"23:48","startHours":22.378583715545233,"endHours":23.804759703148775,"quality":"inauspicious"},{"name":"Chala","start":"23:48","end":"01:14","startHours":23.804759703148775,"endHours":25.230935690752325,"quality":"neutral"},{"name":"Labha","start":"01:14","end":"02:39","startHours":25.230935690752325,"endHours":26.65711167835587,"quality":"auspicious"},{"name":"Amṛta","start":"02:39","end":"04:05","startHours":26.65711167835587,"endHours":28.083287665959418,"quality":"auspicious"},{"name":"Kāla","start":"04:05","end":"05:31","startHours":28.083287665959418,"endHours":29.509463653562964,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.509463653562965,"endHours":6.509463653562965,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.509463653562965,"endHours":7.509463653562965,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.509463653562965,"endHours":8.509463653562964,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.509463653562964,"endHours":9.509463653562964,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.509463653562964,"endHours":10.509463653562964,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.509463653562964,"endHours":11.509463653562964,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.509463653562964,"endHours":12.509463653562964,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.509463653562964,"endHours":13.509463653562964,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.509463653562964,"endHours":14.509463653562964,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.509463653562964,"endHours":15.509463653562964,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.509463653562964,"endHours":16.509463653562964,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.509463653562964,"endHours":17.509463653562964,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.509463653562964,"endHours":18.509463653562964,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.509463653562964,"endHours":19.509463653562964,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.509463653562964,"endHours":20.509463653562964,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.509463653562964,"endHours":21.509463653562964,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.509463653562964,"endHours":22.509463653562964,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.509463653562964,"endHours":23.509463653562964,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.509463653562964,"endHours":24.509463653562964,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.509463653562964,"endHours":25.509463653562964,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.509463653562964,"endHours":26.509463653562964,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.509463653562964,"endHours":27.509463653562964,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.509463653562964,"endHours":28.509463653562964,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.509463653562964,"endHours":29.509463653562964,"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.075984049157412,"eotMinutes":0.47601781107335894,"ayanamsa":26.265}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada (Adhika) Śukla Caturdaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"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":[]},"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 September 1, 2172 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 1, 2172 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:31, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2172-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2172-09-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2172-09-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2172-09-01","x-default":"https://vidhyamitra.com/city/ranchi/2172-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T08:24:47.496Z","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":"2026-06-03T08:24:47.496Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T08:24:47.496Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}