{"id":"vidhyamitra:city-day:berlin:2129-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2129-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-08-16","date_display":"August 16, 2129 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":2129,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498888.770833,"kali_year":5231,"ahargana":1910423.2708,"sun":{"sidereal_longitude":116.7322,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":129.2196,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.4874,"elapsed_within_tithi_degrees":0.4874},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.2196,"elapsed_within_degrees":9.2196},"yoga":{"number":19,"name":"Parigha","sum_longitude":245.9519},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2129,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498888.770833,"ahargana":1910423.2708,"kali_year":5231,"ayanamsa_lahiri":25.6637,"grahas":{"sun":{"sidereal_longitude":117.65483,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":128.17133,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":0.9836},"mars":{"sidereal_longitude":299.80432999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":130.56583,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":351.79653,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":87.69502999999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":170.80273,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":116.5815,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":296.5815,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2129,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498888.770833,"kali_year":5231,"ahargana":1910423.2708,"sun":{"sidereal_longitude":116.7322,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":129.2196,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.4874,"elapsed_within_tithi_degrees":0.4874},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.2196,"elapsed_within_degrees":9.2196},"yoga":{"number":19,"name":"Parigha","sum_longitude":245.9519},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.984,"elongation":12.487},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.984,"opposition_distance":167.513}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":-0.002,"elongation":0.838}]},"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":"04:50","sunsetLocal":"19:31","solarNoonLocal":"12:10","dayLengthHours":14.679436983932813,"dayLengthDisplay":"14 Hours 40 Mins 46 Secs","nightLengthDisplay":"9 Hours 19 Mins 14 Secs","moonriseLocal":"05:55","moonsetLocal":"19:50","rahuKala":{"name":"Rāhu Kāla","start":"15:51","end":"17:41","startHours":15.842356839268742,"endHours":17.677286462260344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"10:20","startHours":8.502638347302337,"endHours":10.33756797029394,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:10","end":"14:00","startHours":12.172497593285541,"endHours":14.007427216277144,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:15","end":"08:45","startHours":8.257981064236791,"endHours":8.747295630367883,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:27","end":"05:50","startHours":5.444422308983001,"endHours":5.835873961887876,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:40","startHours":11.683183027154445,"endHours":12.661812159416634,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:53","end":"03:51","startHours":2.8755208367947587,"endHours":3.8541499690569463,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:37","end":"04:50","startHours":3.6094926859913996,"endHours":4.832779101319134,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:36","startHours":14.619070423941007,"endHours":15.597699556203194,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:19","end":"19:43","startHours":19.312216085251947,"endHours":19.712216085251946,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:31","end":"20:07","startHours":19.512216085251946,"endHours":20.123859292915814,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:16","end":"21:01","startHours":19.262216085251946,"endHours":21.012216085251946,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:40","startHours":23.68318302715445,"endHours":24.661812159416634,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"04:50","end":"06:40","startHours":4.832779101319134,"endHours":6.667708724310735,"quality":"inauspicious"},{"name":"Udveg","start":"06:40","end":"08:30","startHours":6.667708724310735,"endHours":8.502638347302337,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"10:20","startHours":8.502638347302337,"endHours":10.33756797029394,"quality":"neutral"},{"name":"Labha","start":"10:20","end":"12:10","startHours":10.33756797029394,"endHours":12.172497593285541,"quality":"auspicious"},{"name":"Amṛta","start":"12:10","end":"14:00","startHours":12.172497593285541,"endHours":14.007427216277144,"quality":"auspicious"},{"name":"Kāla","start":"14:00","end":"15:51","startHours":14.007427216277144,"endHours":15.842356839268742,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:41","startHours":15.842356839268742,"endHours":17.677286462260344,"quality":"auspicious"},{"name":"Roga","start":"17:41","end":"19:31","startHours":17.677286462260344,"endHours":19.512216085251946,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:31","end":"20:41","startHours":19.512216085251946,"endHours":20.677286462260344,"quality":"inauspicious"},{"name":"Śubha","start":"20:41","end":"21:51","startHours":20.677286462260344,"endHours":21.842356839268742,"quality":"auspicious"},{"name":"Roga","start":"21:51","end":"23:00","startHours":21.842356839268742,"endHours":23.00742721627714,"quality":"inauspicious"},{"name":"Udveg","start":"23:00","end":"00:10","startHours":23.00742721627714,"endHours":24.17249759328554,"quality":"inauspicious"},{"name":"Chala","start":"00:10","end":"01:20","startHours":24.17249759328554,"endHours":25.33756797029394,"quality":"neutral"},{"name":"Labha","start":"01:20","end":"02:30","startHours":25.33756797029394,"endHours":26.502638347302337,"quality":"auspicious"},{"name":"Amṛta","start":"02:30","end":"03:40","startHours":26.502638347302337,"endHours":27.667708724310735,"quality":"auspicious"},{"name":"Kāla","start":"03:40","end":"04:50","startHours":27.667708724310735,"endHours":28.832779101319133,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:50","end":"05:50","startHours":4.832779101319134,"endHours":5.832779101319134,"planetary_lord":"Mars"},{"name":"Hora 2","start":"05:50","end":"06:50","startHours":5.832779101319134,"endHours":6.832779101319134,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"06:50","end":"07:50","startHours":6.832779101319134,"endHours":7.832779101319134,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"07:50","end":"08:50","startHours":7.832779101319134,"endHours":8.832779101319133,"planetary_lord":"Moon"},{"name":"Hora 5","start":"08:50","end":"09:50","startHours":8.832779101319133,"endHours":9.832779101319133,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"09:50","end":"10:50","startHours":9.832779101319133,"endHours":10.832779101319133,"planetary_lord":"Venus"},{"name":"Hora 7","start":"10:50","end":"11:50","startHours":10.832779101319133,"endHours":11.832779101319133,"planetary_lord":"Sun"},{"name":"Hora 8","start":"11:50","end":"12:50","startHours":11.832779101319133,"endHours":12.832779101319133,"planetary_lord":"Mars"},{"name":"Hora 9","start":"12:50","end":"13:50","startHours":12.832779101319133,"endHours":13.832779101319133,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"13:50","end":"14:50","startHours":13.832779101319133,"endHours":14.832779101319133,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"14:50","end":"15:50","startHours":14.832779101319133,"endHours":15.832779101319133,"planetary_lord":"Moon"},{"name":"Hora 12","start":"15:50","end":"16:50","startHours":15.832779101319133,"endHours":16.832779101319133,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"16:50","end":"17:50","startHours":16.832779101319133,"endHours":17.832779101319133,"planetary_lord":"Venus"},{"name":"Hora 14","start":"17:50","end":"18:50","startHours":17.832779101319133,"endHours":18.832779101319133,"planetary_lord":"Sun"},{"name":"Hora 15","start":"18:50","end":"19:50","startHours":18.832779101319133,"endHours":19.832779101319133,"planetary_lord":"Mars"},{"name":"Hora 16","start":"19:50","end":"20:50","startHours":19.832779101319133,"endHours":20.832779101319133,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"20:50","end":"21:50","startHours":20.832779101319133,"endHours":21.832779101319133,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"21:50","end":"22:50","startHours":21.832779101319133,"endHours":22.832779101319133,"planetary_lord":"Moon"},{"name":"Hora 19","start":"22:50","end":"23:50","startHours":22.832779101319133,"endHours":23.832779101319133,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"23:50","end":"00:50","startHours":23.832779101319133,"endHours":24.832779101319133,"planetary_lord":"Venus"},{"name":"Hora 21","start":"00:50","end":"01:50","startHours":24.832779101319133,"endHours":25.832779101319133,"planetary_lord":"Sun"},{"name":"Hora 22","start":"01:50","end":"02:50","startHours":25.832779101319133,"endHours":26.832779101319133,"planetary_lord":"Mars"},{"name":"Hora 23","start":"02:50","end":"03:50","startHours":26.832779101319133,"endHours":27.832779101319133,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"03:50","end":"04:50","startHours":27.832779101319133,"endHours":28.832779101319133,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.744448463567005,"eotMinutes":-3.969855597132357,"ayanamsa":25.6637}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"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":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvitīyā · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 16, 2129 CE · Berlin, Germany · Vidhyamitra","description":"August 16, 2129 CE for Berlin, Germany: Śukla Dvitīyā, sūryodaya 04:50, sūryāsta 19:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2129-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2129-08-16","sa":"https://sa.vidhyamitra.com/city/berlin/2129-08-16","hi":"https://hi.vidhyamitra.com/city/berlin/2129-08-16","x-default":"https://vidhyamitra.com/city/berlin/2129-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:19:33.840Z","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":"2026-05-31T18:19:33.840Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:19:33.840Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}