{"id":"vidhyamitra:city-day:vrindavan:2172-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/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":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:50","sunsetLocal":"18:57","solarNoonLocal":"12:24","dayLengthHours":13.117551840928035,"dayLengthDisplay":"13 Hours 07 Mins 03 Secs","nightLengthDisplay":"10 Hours 52 Mins 57 Secs","moonriseLocal":"02:01","moonsetLocal":"15:51","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:45","startHours":9.112937168545134,"endHours":10.752631148661138,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:02","end":"15:40","startHours":14.032019108893147,"endHours":15.67171308900915,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:50","end":"07:28","startHours":5.833549208313125,"endHours":7.473243188429129,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.894311304529666,"endHours":9.3315630325606,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.380113868351793,"endHours":6.729915250776541,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.955073400746207,"endHours":12.829576856808076,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:58","startHours":4.084542296189387,"endHours":4.959045752251256,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:50","startHours":4.740419888235788,"endHours":5.833549208313125,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:27","startHours":14.578583768931816,"endHours":15.453087224993686,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.75110104924116,"endHours":19.15110104924116,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:30","startHours":18.95110104924116,"endHours":19.49766570927983,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.70110104924116,"endHours":20.45110104924116,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.95507340074621,"endHours":24.829576856808075,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:50","end":"07:28","startHours":5.833549208313125,"endHours":7.473243188429129,"quality":"inauspicious"},{"name":"Śubha","start":"07:28","end":"09:07","startHours":7.473243188429129,"endHours":9.112937168545134,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:45","startHours":9.112937168545134,"endHours":10.752631148661138,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.752631148661138,"endHours":12.392325128777141,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:02","startHours":12.392325128777141,"endHours":14.032019108893147,"quality":"neutral"},{"name":"Labha","start":"14:02","end":"15:40","startHours":14.032019108893147,"endHours":15.67171308900915,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:19","startHours":15.67171308900915,"endHours":17.311407069125156,"quality":"auspicious"},{"name":"Kāla","start":"17:19","end":"18:57","startHours":17.311407069125156,"endHours":18.95110104924116,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:57","end":"20:19","startHours":18.95110104924116,"endHours":20.311407069125156,"quality":"auspicious"},{"name":"Amṛta","start":"20:19","end":"21:40","startHours":20.311407069125156,"endHours":21.671713089009152,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"23:02","startHours":21.671713089009152,"endHours":23.032019108893145,"quality":"inauspicious"},{"name":"Śubha","start":"23:02","end":"00:24","startHours":23.032019108893145,"endHours":24.39232512877714,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.39232512877714,"endHours":25.752631148661138,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:07","startHours":25.752631148661138,"endHours":27.112937168545134,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:28","startHours":27.112937168545134,"endHours":28.47324318842913,"quality":"neutral"},{"name":"Labha","start":"04:28","end":"05:50","startHours":28.47324318842913,"endHours":29.833549208313123,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.833549208313125,"endHours":6.833549208313125,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.833549208313125,"endHours":7.833549208313125,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.833549208313125,"endHours":8.833549208313125,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.833549208313125,"endHours":9.833549208313125,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.833549208313125,"endHours":10.833549208313125,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.833549208313125,"endHours":11.833549208313125,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.833549208313125,"endHours":12.833549208313125,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.833549208313125,"endHours":13.833549208313125,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.833549208313125,"endHours":14.833549208313125,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.833549208313125,"endHours":15.833549208313125,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.833549208313125,"endHours":16.833549208313123,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.833549208313123,"endHours":17.833549208313123,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.833549208313123,"endHours":18.833549208313123,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.833549208313123,"endHours":19.833549208313123,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.833549208313123,"endHours":20.833549208313123,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.833549208313123,"endHours":21.833549208313123,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.833549208313123,"endHours":22.833549208313123,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.833549208313123,"endHours":23.833549208313123,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.833549208313123,"endHours":24.833549208313123,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.833549208313123,"endHours":25.833549208313123,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.833549208313123,"endHours":26.833549208313123,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.833549208313123,"endHours":27.833549208313123,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.833549208313123,"endHours":28.833549208313123,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.833549208313123,"endHours":29.833549208313123,"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":"vrindavan"},"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 · Vṛndāvana · Vidhyamitra","description":"August 15, 2172 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 05:50, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2172-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2172-08-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2172-08-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2172-08-15","x-default":"https://vidhyamitra.com/city/vrindavan/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":"2026-05-30T22:38:15.151Z","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":"2026-05-30T22:38:15.151Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:38:15.151Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}