{"id":"vidhyamitra:city-day:patna:2012-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2012-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-08-15","date_display":"August 15, 2012 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":2012,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456154.770833,"kali_year":5114,"ahargana":1867689.2708,"sun":{"sidereal_longitude":117.95,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":85.6992,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.7492,"elapsed_within_tithi_degrees":3.7492},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.6992,"elapsed_within_degrees":5.6992},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.6492},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2012,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456154.770833,"ahargana":1867689.2708,"kali_year":5114,"ayanamsa_lahiri":24.0293,"grahas":{"sun":{"sidereal_longitude":118.59418299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":86.92558300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":-3.1728},"mars":{"sidereal_longitude":180.372383,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":99.86348299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":48.153583000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":72.621783,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":180.500583,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":220.8345,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":40.8345,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"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":2012,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456154.770833,"kali_year":5114,"ahargana":1867689.2708,"sun":{"sidereal_longitude":117.95,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":85.6992,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.7492,"elapsed_within_tithi_degrees":3.7492},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.6992,"elapsed_within_degrees":5.6992},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.6492},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.173,"elongation":32.251},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.173,"opposition_distance":147.749}},"eclipse_window_40days":[]},"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"sunriseLocal":"05:22","sunsetLocal":"18:25","solarNoonLocal":"11:54","dayLengthHours":13.040549869997582,"dayLengthDisplay":"13 Hours 02 Mins 26 Secs","nightLengthDisplay":"10 Hours 57 Mins 34 Secs","moonriseLocal":"03:00","moonsetLocal":"16:34","rahuKala":{"name":"Rāhu Kāla","start":"11:54","end":"13:31","startHours":11.893771795443808,"endHours":13.523840529193507,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:00","end":"08:38","startHours":7.003565594194716,"endHours":8.633634327944414,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:16","end":"11:54","startHours":10.26370306169411,"endHours":11.893771795443808,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.41629183011112,"endHours":8.850976825777707,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:16","startHours":5.916853105028251,"endHours":6.26460110156152,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:20","startHours":11.459086799777221,"endHours":12.328456791110394,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:30","startHours":3.634756877778673,"endHours":4.504126869111846,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:22","startHours":4.286784371278553,"endHours":5.373496860445018,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:56","startHours":14.06719677377674,"endHours":14.936566765109912,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.2140467304426,"endHours":18.6140467304426,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:57","startHours":18.4140467304426,"endHours":18.957402975025833,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.1640467304426,"endHours":19.9140467304426,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:20","startHours":23.45908679977722,"endHours":24.328456791110394,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:22","end":"07:00","startHours":5.373496860445018,"endHours":7.003565594194716,"quality":"auspicious"},{"name":"Amṛta","start":"07:00","end":"08:38","startHours":7.003565594194716,"endHours":8.633634327944414,"quality":"auspicious"},{"name":"Kāla","start":"08:38","end":"10:16","startHours":8.633634327944414,"endHours":10.26370306169411,"quality":"inauspicious"},{"name":"Śubha","start":"10:16","end":"11:54","startHours":10.26370306169411,"endHours":11.893771795443808,"quality":"auspicious"},{"name":"Roga","start":"11:54","end":"13:31","startHours":11.893771795443808,"endHours":13.523840529193507,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"15:09","startHours":13.523840529193507,"endHours":15.153909262943204,"quality":"inauspicious"},{"name":"Chala","start":"15:09","end":"16:47","startHours":15.153909262943204,"endHours":16.783977996692904,"quality":"neutral"},{"name":"Labha","start":"16:47","end":"18:25","startHours":16.783977996692904,"endHours":18.4140467304426,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:47","startHours":18.4140467304426,"endHours":19.7839779966929,"quality":"inauspicious"},{"name":"Chala","start":"19:47","end":"21:09","startHours":19.7839779966929,"endHours":21.153909262943206,"quality":"neutral"},{"name":"Labha","start":"21:09","end":"22:31","startHours":21.153909262943206,"endHours":22.523840529193507,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"23:54","startHours":22.523840529193507,"endHours":23.893771795443808,"quality":"auspicious"},{"name":"Kāla","start":"23:54","end":"01:16","startHours":23.893771795443808,"endHours":25.26370306169411,"quality":"inauspicious"},{"name":"Śubha","start":"01:16","end":"02:38","startHours":25.26370306169411,"endHours":26.633634327944414,"quality":"auspicious"},{"name":"Roga","start":"02:38","end":"04:00","startHours":26.633634327944414,"endHours":28.003565594194715,"quality":"inauspicious"},{"name":"Udveg","start":"04:00","end":"05:22","startHours":28.003565594194715,"endHours":29.373496860445016,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:22","end":"06:22","startHours":5.373496860445018,"endHours":6.373496860445018,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:22","end":"07:22","startHours":6.373496860445018,"endHours":7.373496860445018,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:22","end":"08:22","startHours":7.373496860445018,"endHours":8.373496860445018,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:22","end":"09:22","startHours":8.373496860445018,"endHours":9.373496860445018,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:22","end":"10:22","startHours":9.373496860445018,"endHours":10.373496860445018,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:22","end":"11:22","startHours":10.373496860445018,"endHours":11.373496860445018,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:22","end":"12:22","startHours":11.373496860445018,"endHours":12.373496860445018,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:22","end":"13:22","startHours":12.373496860445018,"endHours":13.373496860445018,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:22","end":"14:22","startHours":13.373496860445018,"endHours":14.373496860445018,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:22","end":"15:22","startHours":14.373496860445018,"endHours":15.373496860445018,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:22","end":"16:22","startHours":15.373496860445018,"endHours":16.373496860445016,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:22","end":"17:22","startHours":16.373496860445016,"endHours":17.373496860445016,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:22","end":"18:22","startHours":17.373496860445016,"endHours":18.373496860445016,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:22","end":"19:22","startHours":18.373496860445016,"endHours":19.373496860445016,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:22","end":"20:22","startHours":19.373496860445016,"endHours":20.373496860445016,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:22","end":"21:22","startHours":20.373496860445016,"endHours":21.373496860445016,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:22","end":"22:22","startHours":21.373496860445016,"endHours":22.373496860445016,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:22","end":"23:22","startHours":22.373496860445016,"endHours":23.373496860445016,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:22","end":"00:22","startHours":23.373496860445016,"endHours":24.373496860445016,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:22","end":"01:22","startHours":24.373496860445016,"endHours":25.373496860445016,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:22","end":"02:22","startHours":25.373496860445016,"endHours":26.373496860445016,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:22","end":"03:22","startHours":26.373496860445016,"endHours":27.373496860445016,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:22","end":"04:22","startHours":27.373496860445016,"endHours":28.373496860445016,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:22","end":"05:22","startHours":28.373496860445016,"endHours":29.373496860445016,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","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":13.97175654845353,"eotMinutes":-4.176707726628523,"ayanamsa":24.0293}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"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 Trayodaśī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"patna"},"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, 2012 CE · Patna, Bihar · Vidhyamitra","description":"August 15, 2012 CE for Patna, Bihar: Kṛṣṇa Trayodaśī, sūryodaya 05:22, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2012-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2012-08-15","sa":"https://sa.vidhyamitra.com/city/patna/2012-08-15","hi":"https://hi.vidhyamitra.com/city/patna/2012-08-15","x-default":"https://vidhyamitra.com/city/patna/2012-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:24:34.625Z","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":"2026-06-02T16:24:34.625Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:24:34.625Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}