{"id":"vidhyamitra:city-day:ranchi:2172-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2172-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-08-15","date_display":"August 15, 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":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514593.770833,"kali_year":5274,"ahargana":1926128.2708,"sun":{"sidereal_longitude":115.6564,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":62.6614,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":307.005,"elapsed_within_tithi_degrees":7.005},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.6614,"elapsed_within_degrees":9.328},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.3178},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2172,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514593.770833,"ahargana":1926128.2708,"kali_year":5274,"ayanamsa_lahiri":26.2644,"grahas":{"sun":{"sidereal_longitude":116.67738399999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":64.84848399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":3.8237},"mars":{"sidereal_longitude":195.68418399999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":122.592284,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":193.11948400000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":73.37368400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":332.106684,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":4.455,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.455,"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":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514593.770833,"kali_year":5274,"ahargana":1926128.2708,"sun":{"sidereal_longitude":115.6564,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":62.6614,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":307.005,"elapsed_within_tithi_degrees":7.005},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.6614,"elapsed_within_degrees":9.328},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.3178},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.824,"elongation":52.995},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.824,"opposition_distance":127.005}},"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":"05:25","sunsetLocal":"18:21","solarNoonLocal":"11:53","dayLengthHours":12.940946829088448,"dayLengthDisplay":"12 Hours 56 Mins 27 Secs","nightLengthDisplay":"11 Hours 03 Mins 33 Secs","moonriseLocal":"01:40","moonsetLocal":"15:12","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:16","startHours":8.647068421505027,"endHours":10.264686775141083,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:30","end":"15:07","startHours":13.499923482413196,"endHours":15.117541836049252,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:25","end":"07:02","startHours":5.411831714232916,"endHours":7.0294500678689715,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.431385974353553,"endHours":8.862750868656502,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.951037832111601,"endHours":6.29612974755396,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.450940234474192,"endHours":12.313670023080089,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:33","startHours":3.686372137021123,"endHours":4.549101925627019,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:25","startHours":4.333419478475545,"endHours":5.411831714232916,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:54","startHours":14.039129600291881,"endHours":14.901859388897778,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.152778543321364,"endHours":18.552778543321363,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:54","startHours":18.352778543321364,"endHours":18.89198466120005,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.102778543321364,"endHours":19.852778543321364,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.450940234474192,"endHours":24.31367002308009,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:25","end":"07:02","startHours":5.411831714232916,"endHours":7.0294500678689715,"quality":"inauspicious"},{"name":"Śubha","start":"07:02","end":"08:39","startHours":7.0294500678689715,"endHours":8.647068421505027,"quality":"auspicious"},{"name":"Roga","start":"08:39","end":"10:16","startHours":8.647068421505027,"endHours":10.264686775141083,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:53","startHours":10.264686775141083,"endHours":11.88230512877714,"quality":"inauspicious"},{"name":"Chala","start":"11:53","end":"13:30","startHours":11.88230512877714,"endHours":13.499923482413196,"quality":"neutral"},{"name":"Labha","start":"13:30","end":"15:07","startHours":13.499923482413196,"endHours":15.117541836049252,"quality":"auspicious"},{"name":"Amṛta","start":"15:07","end":"16:44","startHours":15.117541836049252,"endHours":16.73516018968531,"quality":"auspicious"},{"name":"Kāla","start":"16:44","end":"18:21","startHours":16.73516018968531,"endHours":18.352778543321364,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:21","end":"19:44","startHours":18.352778543321364,"endHours":19.735160189685306,"quality":"auspicious"},{"name":"Amṛta","start":"19:44","end":"21:07","startHours":19.735160189685306,"endHours":21.117541836049252,"quality":"auspicious"},{"name":"Kāla","start":"21:07","end":"22:30","startHours":21.117541836049252,"endHours":22.499923482413195,"quality":"inauspicious"},{"name":"Śubha","start":"22:30","end":"23:53","startHours":22.499923482413195,"endHours":23.88230512877714,"quality":"auspicious"},{"name":"Roga","start":"23:53","end":"01:16","startHours":23.88230512877714,"endHours":25.264686775141083,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:39","startHours":25.264686775141083,"endHours":26.647068421505026,"quality":"inauspicious"},{"name":"Chala","start":"02:39","end":"04:02","startHours":26.647068421505026,"endHours":28.02945006786897,"quality":"neutral"},{"name":"Labha","start":"04:02","end":"05:25","startHours":28.02945006786897,"endHours":29.411831714232918,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.411831714232916,"endHours":6.411831714232916,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.411831714232916,"endHours":7.411831714232916,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.411831714232916,"endHours":8.411831714232916,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.411831714232916,"endHours":9.411831714232916,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.411831714232916,"endHours":10.411831714232916,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.411831714232916,"endHours":11.411831714232916,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.411831714232916,"endHours":12.411831714232916,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.411831714232916,"endHours":13.411831714232916,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.411831714232916,"endHours":14.411831714232916,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.411831714232916,"endHours":15.411831714232916,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.411831714232916,"endHours":16.411831714232918,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.411831714232918,"endHours":17.411831714232918,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.411831714232918,"endHours":18.411831714232918,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.411831714232918,"endHours":19.411831714232918,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.411831714232918,"endHours":20.411831714232918,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.411831714232918,"endHours":21.411831714232918,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.411831714232918,"endHours":22.411831714232918,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.411831714232918,"endHours":23.411831714232918,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.411831714232918,"endHours":24.411831714232918,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.411831714232918,"endHours":25.411831714232918,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.411831714232918,"endHours":26.411831714232918,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.411831714232918,"endHours":27.411831714232918,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.411831714232918,"endHours":28.411831714232918,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.411831714232918,"endHours":29.411831714232918,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.867890048990487,"eotMinutes":-4.176707726628523,"ayanamsa":26.2644}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Ekādaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"indira-ekadashi","name":"Indirā Ekādaśī","name_sanskrit":"इन्दिरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Falls in Pitṛ Pakṣa; liberates ancestors from naraka.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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 August 15, 2172 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 15, 2172 CE for Ranchi, Jharkhand: Kṛṣṇa Ekādaśī, sūryodaya 05:25, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2172-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2172-08-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2172-08-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2172-08-15","x-default":"https://vidhyamitra.com/city/ranchi/2172-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T13:33:21.116Z","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":"2026-06-03T13:33:21.116Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T13:33:21.116Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}