{"id":"vidhyamitra:city-day:berlin:2102-08-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2102-08-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-08-28","date_display":"August 28, 2102 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":2102,"month":8,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489038.770833,"kali_year":5204,"ahargana":1900573.2708,"sun":{"sidereal_longitude":128.2136,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":305.2154,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":177.0018,"elapsed_within_tithi_degrees":9.0018},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.2154,"elapsed_within_degrees":11.8821},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":73.429},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2102,"month":8,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489038.770833,"ahargana":1900573.2708,"kali_year":5204,"ayanamsa_lahiri":25.287,"grahas":{"sun":{"sidereal_longitude":129.126373,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":304.97607300000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":2.0226},"mars":{"sidereal_longitude":154.54937300000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":143.59597300000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":229.01047300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":118.79947299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":198.622473,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":278.4819,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":98.4819,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"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":2102,"month":8,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489038.770833,"kali_year":5204,"ahargana":1900573.2708,"sun":{"sidereal_longitude":128.2136,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":305.2154,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":177.0018,"elapsed_within_tithi_degrees":9.0018},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.2154,"elapsed_within_degrees":11.8821},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":73.429},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.023,"elongation":177.002},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.023,"opposition_distance":2.998}},"eclipse_window_40days":[{"offset_days":-14,"type":"solar","occurs":true,"moon_latitude":-1.321,"elongation":1.503}]},"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":"05:09","sunsetLocal":"19:05","solarNoonLocal":"12:07","dayLengthHours":13.943360352990762,"dayLengthDisplay":"13 Hours 56 Mins 36 Secs","nightLengthDisplay":"10 Hours 03 Mins 24 Secs","moonriseLocal":"18:47","moonsetLocal":"04:54","rahuKala":{"name":"Rāhu Kāla","start":"06:53","end":"08:38","startHours":6.891082012978202,"endHours":8.634002057102048,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:23","end":"12:07","startHours":10.376922101225894,"endHours":12.11984214534974,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:36","startHours":13.862762189473585,"endHours":15.605682233597427,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:52","startHours":8.401612717885536,"endHours":8.86639139631856,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:44","end":"06:06","startHours":5.72913531689564,"endHours":6.10095825964206,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:35","startHours":11.655063466916712,"endHours":12.584620823782764,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:17","end":"04:13","startHours":3.289047255122256,"endHours":4.218604611988307,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:09","startHours":3.986215272771794,"endHours":5.148161968854358,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:22","startHours":14.443735537514865,"endHours":15.373292894380915,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.89152232184512,"endHours":19.291522321845118,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:40","startHours":19.09152232184512,"endHours":19.672495669886402,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.84152232184512,"endHours":20.59152232184512,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:35","startHours":23.65506346691671,"endHours":24.58462082378276,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:09","end":"06:53","startHours":5.148161968854358,"endHours":6.891082012978202,"quality":"auspicious"},{"name":"Kāla","start":"06:53","end":"08:38","startHours":6.891082012978202,"endHours":8.634002057102048,"quality":"inauspicious"},{"name":"Śubha","start":"08:38","end":"10:23","startHours":8.634002057102048,"endHours":10.376922101225894,"quality":"auspicious"},{"name":"Roga","start":"10:23","end":"12:07","startHours":10.376922101225894,"endHours":12.11984214534974,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:52","startHours":12.11984214534974,"endHours":13.862762189473585,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:36","startHours":13.862762189473585,"endHours":15.605682233597427,"quality":"neutral"},{"name":"Labha","start":"15:36","end":"17:21","startHours":15.605682233597427,"endHours":17.348602277721273,"quality":"auspicious"},{"name":"Amṛta","start":"17:21","end":"19:05","startHours":17.348602277721273,"endHours":19.09152232184512,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:05","end":"20:21","startHours":19.09152232184512,"endHours":20.348602277721273,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:36","startHours":20.348602277721273,"endHours":21.605682233597427,"quality":"auspicious"},{"name":"Amṛta","start":"21:36","end":"22:52","startHours":21.605682233597427,"endHours":22.86276218947358,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:07","startHours":22.86276218947358,"endHours":24.119842145349736,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:23","startHours":24.119842145349736,"endHours":25.376922101225894,"quality":"auspicious"},{"name":"Roga","start":"01:23","end":"02:38","startHours":25.376922101225894,"endHours":26.634002057102048,"quality":"inauspicious"},{"name":"Udveg","start":"02:38","end":"03:53","startHours":26.634002057102048,"endHours":27.891082012978202,"quality":"inauspicious"},{"name":"Chala","start":"03:53","end":"05:09","startHours":27.891082012978202,"endHours":29.148161968854357,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:09","end":"06:09","startHours":5.148161968854358,"endHours":6.148161968854358,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:09","end":"07:09","startHours":6.148161968854358,"endHours":7.148161968854358,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:09","end":"08:09","startHours":7.148161968854358,"endHours":8.148161968854357,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:09","end":"09:09","startHours":8.148161968854357,"endHours":9.148161968854357,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:09","end":"10:09","startHours":9.148161968854357,"endHours":10.148161968854357,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:09","end":"11:09","startHours":10.148161968854357,"endHours":11.148161968854357,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:09","end":"12:09","startHours":11.148161968854357,"endHours":12.148161968854357,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:09","end":"13:09","startHours":12.148161968854357,"endHours":13.148161968854357,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:09","end":"14:09","startHours":13.148161968854357,"endHours":14.148161968854357,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:09","end":"15:09","startHours":14.148161968854357,"endHours":15.148161968854357,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:09","end":"16:09","startHours":15.148161968854357,"endHours":16.148161968854357,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:09","end":"17:09","startHours":16.148161968854357,"endHours":17.148161968854357,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:09","end":"18:09","startHours":17.148161968854357,"endHours":18.148161968854357,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:09","end":"19:09","startHours":18.148161968854357,"endHours":19.148161968854357,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:09","end":"20:09","startHours":19.148161968854357,"endHours":20.148161968854357,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:09","end":"21:09","startHours":20.148161968854357,"endHours":21.148161968854357,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:09","end":"22:09","startHours":21.148161968854357,"endHours":22.148161968854357,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:09","end":"23:09","startHours":22.148161968854357,"endHours":23.148161968854357,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:09","end":"00:09","startHours":23.148161968854357,"endHours":24.148161968854357,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:09","end":"01:09","startHours":24.148161968854357,"endHours":25.148161968854357,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:09","end":"02:09","startHours":25.148161968854357,"endHours":26.148161968854357,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:09","end":"03:09","startHours":26.148161968854357,"endHours":27.148161968854357,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:09","end":"04:09","startHours":27.148161968854357,"endHours":28.148161968854357,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:09","end":"05:09","startHours":28.148161968854357,"endHours":29.148161968854357,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.890793371157818,"eotMinutes":-0.8105287209842176,"ayanamsa":25.287}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 28, 2102 CE · Berlin, Germany · Vidhyamitra","description":"August 28, 2102 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 05:09, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2102-08-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2102-08-28","sa":"https://sa.vidhyamitra.com/city/berlin/2102-08-28","hi":"https://hi.vidhyamitra.com/city/berlin/2102-08-28","x-default":"https://vidhyamitra.com/city/berlin/2102-08-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:03:44.791Z","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":"2026-05-31T22:03:44.791Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:03:44.791Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}