{"id":"vidhyamitra:city-day:berlin:2113-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2113-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-28","date_display":"July 28, 2113 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":2113,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493025.770833,"kali_year":5215,"ahargana":1904560.2708,"sun":{"sidereal_longitude":98.7794,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":270.1736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.3941,"elapsed_within_tithi_degrees":3.3941},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1736,"elapsed_within_degrees":3.5069},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.953},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2113,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493025.770833,"ahargana":1904560.2708,"kali_year":5215,"ayanamsa_lahiri":25.4395,"grahas":{"sun":{"sidereal_longitude":99.55484000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":271.67314,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.7526},"mars":{"sidereal_longitude":106.13153999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":90.02404000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":201.31513999999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":64.25923999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":332.25194,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.2315,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.2315,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"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":2113,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493025.770833,"kali_year":5215,"ahargana":1904560.2708,"sun":{"sidereal_longitude":98.7794,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":270.1736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.3941,"elapsed_within_tithi_degrees":3.3941},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1736,"elapsed_within_degrees":3.5069},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.953},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.753,"elongation":171.394},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.753,"opposition_distance":8.606}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":1.347,"elongation":0.9}]},"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":"04:19","sunsetLocal":"20:06","solarNoonLocal":"12:13","dayLengthHours":15.778902971004538,"dayLengthDisplay":"15 Hours 46 Mins 44 Secs","nightLengthDisplay":"8 Hours 13 Mins 16 Secs","moonriseLocal":"19:35","moonsetLocal":"03:47","rahuKala":{"name":"Rāhu Kāla","start":"10:14","end":"12:13","startHours":10.236809673231118,"endHours":12.209172544606687,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:09","end":"18:08","startHours":16.15389828735782,"endHours":18.12626115873339,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:18","end":"08:16","startHours":6.2920839304799845,"endHours":8.264446801855552,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:00","end":"08:32","startHours":8.001465085672145,"endHours":8.527428518038962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:59","end":"05:24","startHours":4.97717534956294,"endHours":5.397946095456395,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.683209112239867,"endHours":12.735135976973504,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:13","end":"03:16","startHours":2.215867329637146,"endHours":3.267794194370782,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:00","end":"04:19","startHours":3.0048124781873726,"endHours":4.319721059104418,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:50","end":"15:53","startHours":14.838989706440778,"endHours":15.890916571174413,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:54","end":"20:18","startHours":19.898624030108955,"endHours":20.298624030108954,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:06","end":"20:45","startHours":20.098624030108954,"endHours":20.756078320567475,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:51","end":"21:36","startHours":19.848624030108954,"endHours":21.598624030108954,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.68320911223987,"endHours":24.735135976973506,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:19","end":"06:18","startHours":4.319721059104418,"endHours":6.2920839304799845,"quality":"neutral"},{"name":"Labha","start":"06:18","end":"08:16","startHours":6.2920839304799845,"endHours":8.264446801855552,"quality":"auspicious"},{"name":"Amṛta","start":"08:16","end":"10:14","startHours":8.264446801855552,"endHours":10.236809673231118,"quality":"auspicious"},{"name":"Kāla","start":"10:14","end":"12:13","startHours":10.236809673231118,"endHours":12.209172544606687,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"14:11","startHours":12.209172544606687,"endHours":14.181535415982253,"quality":"auspicious"},{"name":"Roga","start":"14:11","end":"16:09","startHours":14.181535415982253,"endHours":16.15389828735782,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"18:08","startHours":16.15389828735782,"endHours":18.12626115873339,"quality":"inauspicious"},{"name":"Chala","start":"18:08","end":"20:06","startHours":18.12626115873339,"endHours":20.098624030108954,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"20:06","end":"21:08","startHours":20.098624030108954,"endHours":21.12626115873339,"quality":"inauspicious"},{"name":"Udveg","start":"21:08","end":"22:09","startHours":21.12626115873339,"endHours":22.15389828735782,"quality":"inauspicious"},{"name":"Chala","start":"22:09","end":"23:11","startHours":22.15389828735782,"endHours":23.181535415982253,"quality":"neutral"},{"name":"Labha","start":"23:11","end":"00:13","startHours":23.181535415982253,"endHours":24.209172544606687,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:14","startHours":24.209172544606687,"endHours":25.236809673231118,"quality":"auspicious"},{"name":"Kāla","start":"01:14","end":"02:16","startHours":25.236809673231118,"endHours":26.264446801855552,"quality":"inauspicious"},{"name":"Śubha","start":"02:16","end":"03:18","startHours":26.264446801855552,"endHours":27.292083930479983,"quality":"auspicious"},{"name":"Roga","start":"03:18","end":"04:19","startHours":27.292083930479983,"endHours":28.319721059104417,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:19","end":"05:19","startHours":4.319721059104418,"endHours":5.319721059104418,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:19","end":"06:19","startHours":5.319721059104418,"endHours":6.319721059104418,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:19","end":"07:19","startHours":6.319721059104418,"endHours":7.319721059104418,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:19","end":"08:19","startHours":7.319721059104418,"endHours":8.319721059104417,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:19","end":"09:19","startHours":8.319721059104417,"endHours":9.319721059104417,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:19","end":"10:19","startHours":9.319721059104417,"endHours":10.319721059104417,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:19","end":"11:19","startHours":10.319721059104417,"endHours":11.319721059104417,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:19","end":"12:19","startHours":11.319721059104417,"endHours":12.319721059104417,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:19","end":"13:19","startHours":12.319721059104417,"endHours":13.319721059104417,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:19","end":"14:19","startHours":13.319721059104417,"endHours":14.319721059104417,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:19","end":"15:19","startHours":14.319721059104417,"endHours":15.319721059104417,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:19","end":"16:19","startHours":15.319721059104417,"endHours":16.319721059104417,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:19","end":"17:19","startHours":16.319721059104417,"endHours":17.319721059104417,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:19","end":"18:19","startHours":17.319721059104417,"endHours":18.319721059104417,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:19","end":"19:19","startHours":18.319721059104417,"endHours":19.319721059104417,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:19","end":"20:19","startHours":19.319721059104417,"endHours":20.319721059104417,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:19","end":"21:19","startHours":20.319721059104417,"endHours":21.319721059104417,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:19","end":"22:19","startHours":21.319721059104417,"endHours":22.319721059104417,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:19","end":"23:19","startHours":22.319721059104417,"endHours":23.319721059104417,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:19","end":"00:19","startHours":23.319721059104417,"endHours":24.319721059104417,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:19","end":"01:19","startHours":24.319721059104417,"endHours":25.319721059104417,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:19","end":"02:19","startHours":25.319721059104417,"endHours":26.319721059104417,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:19","end":"03:19","startHours":26.319721059104417,"endHours":27.319721059104417,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:19","end":"04:19","startHours":27.319721059104417,"endHours":28.319721059104417,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","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":19.015618968748036,"eotMinutes":-6.170352676401169,"ayanamsa":25.4395}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pūrṇimā · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"guru-purnima","name":"Guru Pūrṇimā / Vyāsa Pūrṇimā","name_sanskrit":"गुरु पूर्णिमा / व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Vyāsa-jī","significance":"Honor Vyāsa-jī and all gurus.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1},{"id":"vyasa-purnima","name":"Vyāsa Pūrṇimā (= Guru Pūrṇimā)","name_sanskrit":"व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Veda-Vyāsa","significance":"Birth of Veda-Vyāsa; Mahābhārata-Purāṇa-vibhāga-kartā. = Guru Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1,"related_chart":"vyasa"}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 28, 2113 CE · Berlin, Germany · Vidhyamitra","description":"July 28, 2113 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 04:19, sūryāsta 20:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2113-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2113-07-28","sa":"https://sa.vidhyamitra.com/city/berlin/2113-07-28","hi":"https://hi.vidhyamitra.com/city/berlin/2113-07-28","x-default":"https://vidhyamitra.com/city/berlin/2113-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:02:05.601Z","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":"2026-05-31T21:02:05.601Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:02:05.601Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}