{"id":"vidhyamitra:city-day:berlin:1981-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1981-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-08-15","date_display":"August 15, 1981 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":1981,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444831.770833,"kali_year":5083,"ahargana":1856366.2708,"sun":{"sidereal_longitude":117.9705,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":289.1876,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.2171,"elapsed_within_tithi_degrees":3.2171},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.1876,"elapsed_within_degrees":9.1876},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.1581},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":1981,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444831.770833,"ahargana":1856366.2708,"kali_year":5083,"ayanamsa_lahiri":23.5962,"grahas":{"sun":{"sidereal_longitude":118.53990499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":290.396705,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.6572},"mars":{"sidereal_longitude":85.03240499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":123.779605,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":165.18000500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":152.451005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":162.959205,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":100.7815,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":280.7815,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444831.770833,"kali_year":5083,"ahargana":1856366.2708,"sun":{"sidereal_longitude":117.9705,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":289.1876,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.2171,"elapsed_within_tithi_degrees":3.2171},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.1876,"elapsed_within_degrees":9.1876},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.1581},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.657,"elongation":171.217},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.657,"opposition_distance":8.783}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207}]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:48","sunsetLocal":"19:33","solarNoonLocal":"12:11","dayLengthHours":14.755704609388818,"dayLengthDisplay":"14 Hours 45 Mins 21 Secs","nightLengthDisplay":"9 Hours 14 Mins 39 Secs","moonriseLocal":"19:05","moonsetLocal":"04:11","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"10:20","startHours":8.487018976429939,"endHours":10.33148205260354,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:52","startHours":14.020408204950744,"endHours":15.864871281124348,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:48","end":"06:39","startHours":4.798092824082734,"endHours":6.642555900256337,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:14","end":"08:44","startHours":8.241090566273458,"endHours":8.73294738658642,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:25","end":"05:48","startHours":5.412913849473934,"endHours":5.806399305724303,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:40","startHours":11.684088308464181,"endHours":12.667801949090103,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:50","end":"03:49","startHours":2.8306655428308916,"endHours":3.814379183456813,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:34","end":"04:48","startHours":3.5684507733003326,"endHours":4.798092824082734,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:37","startHours":14.635229230341945,"endHours":15.618942870967867,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:21","end":"19:45","startHours":19.353797433471552,"endHours":19.75379743347155,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:33","end":"20:10","startHours":19.55379743347155,"endHours":20.168618458862753,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:18","end":"21:03","startHours":19.30379743347155,"endHours":21.05379743347155,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:40","startHours":23.684088308464183,"endHours":24.667801949090105,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:48","end":"06:39","startHours":4.798092824082734,"endHours":6.642555900256337,"quality":"inauspicious"},{"name":"Śubha","start":"06:39","end":"08:29","startHours":6.642555900256337,"endHours":8.487018976429939,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"10:20","startHours":8.487018976429939,"endHours":10.33148205260354,"quality":"inauspicious"},{"name":"Udveg","start":"10:20","end":"12:11","startHours":10.33148205260354,"endHours":12.175945128777144,"quality":"inauspicious"},{"name":"Chala","start":"12:11","end":"14:01","startHours":12.175945128777144,"endHours":14.020408204950744,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:52","startHours":14.020408204950744,"endHours":15.864871281124348,"quality":"auspicious"},{"name":"Amṛta","start":"15:52","end":"17:43","startHours":15.864871281124348,"endHours":17.70933435729795,"quality":"auspicious"},{"name":"Kāla","start":"17:43","end":"19:33","startHours":17.70933435729795,"endHours":19.55379743347155,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:33","end":"20:43","startHours":19.55379743347155,"endHours":20.709334357297948,"quality":"auspicious"},{"name":"Amṛta","start":"20:43","end":"21:52","startHours":20.709334357297948,"endHours":21.864871281124348,"quality":"auspicious"},{"name":"Kāla","start":"21:52","end":"23:01","startHours":21.864871281124348,"endHours":23.020408204950744,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:11","startHours":23.020408204950744,"endHours":24.175945128777144,"quality":"auspicious"},{"name":"Roga","start":"00:11","end":"01:20","startHours":24.175945128777144,"endHours":25.33148205260354,"quality":"inauspicious"},{"name":"Udveg","start":"01:20","end":"02:29","startHours":25.33148205260354,"endHours":26.487018976429937,"quality":"inauspicious"},{"name":"Chala","start":"02:29","end":"03:39","startHours":26.487018976429937,"endHours":27.642555900256333,"quality":"neutral"},{"name":"Labha","start":"03:39","end":"04:48","startHours":27.642555900256333,"endHours":28.798092824082733,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:48","end":"05:48","startHours":4.798092824082734,"endHours":5.798092824082734,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:48","end":"06:48","startHours":5.798092824082734,"endHours":6.798092824082734,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:48","end":"07:48","startHours":6.798092824082734,"endHours":7.798092824082734,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:48","end":"08:48","startHours":7.798092824082734,"endHours":8.798092824082733,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:48","end":"09:48","startHours":8.798092824082733,"endHours":9.798092824082733,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:48","end":"10:48","startHours":9.798092824082733,"endHours":10.798092824082733,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:48","end":"11:48","startHours":10.798092824082733,"endHours":11.798092824082733,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:48","end":"12:48","startHours":11.798092824082733,"endHours":12.798092824082733,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:48","end":"13:48","startHours":12.798092824082733,"endHours":13.798092824082733,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:48","end":"14:48","startHours":13.798092824082733,"endHours":14.798092824082733,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:48","end":"15:48","startHours":14.798092824082733,"endHours":15.798092824082733,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:48","end":"16:48","startHours":15.798092824082733,"endHours":16.798092824082733,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:48","end":"17:48","startHours":16.798092824082733,"endHours":17.798092824082733,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:48","end":"18:48","startHours":17.798092824082733,"endHours":18.798092824082733,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:48","end":"19:48","startHours":18.798092824082733,"endHours":19.798092824082733,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:48","end":"20:48","startHours":19.798092824082733,"endHours":20.798092824082733,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:48","end":"21:48","startHours":20.798092824082733,"endHours":21.798092824082733,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:48","end":"22:48","startHours":21.798092824082733,"endHours":22.798092824082733,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:48","end":"23:48","startHours":22.798092824082733,"endHours":23.798092824082733,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:48","end":"00:48","startHours":23.798092824082733,"endHours":24.798092824082733,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:48","end":"01:48","startHours":24.798092824082733,"endHours":25.798092824082733,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:48","end":"02:48","startHours":25.798092824082733,"endHours":26.798092824082733,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:48","end":"03:48","startHours":26.798092824082733,"endHours":27.798092824082733,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:48","end":"04:48","startHours":27.798092824082733,"endHours":28.798092824082733,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.13003216828694,"eotMinutes":-4.176707726628523,"ayanamsa":23.5962}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"raksha-bandhana","name":"Rakṣā Bandhana / Śrāvaṇa Pūrṇimā","name_sanskrit":"रक्षा बन्धन","tradition":"Pan-Hindu","significance":"Sister-brother bond; Brāhmaṇa Upākarma.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":1},{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"jhulan-purnima","name":"Jhūlan Pūrṇimā (Rādhā-Krishna swing)","name_sanskrit":"झूलन पूर्णिमा","tradition":"Vaishnava","associated_deity":"Rādhā-Krishna","significance":"Rādhā-Krishna swing-līlā festival; Jhūlan-yātrā culmination.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-rigveda","name":"Ṛg-Veda Upākarman","name_sanskrit":"ऋग्वेद उपाकर्मन्","tradition":"Smarta","associated_deity":"Ṛṣi-paramparā","significance":"Annual renewal of Veda-svādhyāya for Ṛg-Vedīs. Śrāvaṇa Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-yajurveda","name":"Yajur-Veda Upākarman","name_sanskrit":"यजुर्वेद उपाकर्मन्","tradition":"Smarta","significance":"Annual renewal of Veda-svādhyāya for Yajur-Vedīs.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"hayagriva-jayanti","name":"Hayagrīva Jayantī","name_sanskrit":"हयग्रीव जयन्ती","tradition":"Vaishnava","associated_deity":"Hayagrīva (Knowledge-form of Bhagavān)","significance":"Bhagavān as Hayagrīva restored the Vedas to Brahmā. Vidyā-pradāyaka.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Devī-Bhāgavata, Hayagrīva-stotra"]}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"berlin"},"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, 1981 CE · Berlin, Germany · Vidhyamitra","description":"August 15, 1981 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 04:48, sūryāsta 19:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1981-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1981-08-15","sa":"https://sa.vidhyamitra.com/city/berlin/1981-08-15","hi":"https://hi.vidhyamitra.com/city/berlin/1981-08-15","x-default":"https://vidhyamitra.com/city/berlin/1981-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T10:10:57.226Z","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":"2026-05-24T10:10:57.226Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T10:10:57.226Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}