{"id":"vidhyamitra:city-day:berlin:2015-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2015-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-07-24","date_display":"July 24, 2015 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":2015,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457227.770833,"kali_year":5117,"ahargana":1868762.2708,"sun":{"sidereal_longitude":96.2727,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":187.647,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.3744,"elapsed_within_tithi_degrees":7.3744},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.647,"elapsed_within_degrees":0.9804},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.9197},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2015,"month":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457227.770833,"ahargana":1868762.2708,"kali_year":5117,"ayanamsa_lahiri":24.0703,"grahas":{"sun":{"sidereal_longitude":96.794287,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":185.32868699999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":1.8047},"mars":{"sidereal_longitude":85.34398699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":96.85868700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":121.27698699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":126.43448699999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":214.06248700000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":163.9818,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":343.9818,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"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":2015,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457227.770833,"kali_year":5117,"ahargana":1868762.2708,"sun":{"sidereal_longitude":96.2727,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":187.647,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.3744,"elapsed_within_tithi_degrees":7.3744},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.647,"elapsed_within_degrees":0.9804},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.9197},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.805,"elongation":91.374},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.805,"opposition_distance":88.626}},"eclipse_window_40days":[]},"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":"04:13","sunsetLocal":"20:12","solarNoonLocal":"12:13","dayLengthHours":15.99235951015454,"dayLengthDisplay":"15 Hours 59 Mins 32 Secs","nightLengthDisplay":"8 Hours 00 Mins 28 Secs","moonriseLocal":"13:03","moonsetLocal":"23:11","rahuKala":{"name":"Rāhu Kāla","start":"10:13","end":"12:13","startHours":10.20995789441599,"endHours":12.209002833185309,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:12","end":"18:12","startHours":16.20709271072394,"endHours":18.20613764949326,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:13","end":"08:13","startHours":6.2118680168773555,"endHours":8.210912955646673,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:57","end":"08:29","startHours":7.944373630477431,"endHours":8.477452280815916,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:53","end":"05:18","startHours":4.879171391031145,"endHours":5.305634311301932,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:45","startHours":11.675924182846822,"endHours":12.742081483523792,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:05","end":"03:09","startHours":2.0805084767541,"endHours":3.1466657774310693,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:53","end":"04:13","startHours":2.880126452261827,"endHours":4.2128230781080385,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:56","startHours":14.87439608487773,"endHours":15.9405533855547,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:00","end":"20:24","startHours":20.005182588262578,"endHours":20.405182588262576,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:12","end":"20:52","startHours":20.205182588262577,"endHours":20.871530901185682,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:57","end":"21:42","startHours":19.955182588262577,"endHours":21.705182588262577,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:45","startHours":23.675924182846824,"endHours":24.742081483523794,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:13","end":"06:13","startHours":4.2128230781080385,"endHours":6.2118680168773555,"quality":"neutral"},{"name":"Labha","start":"06:13","end":"08:13","startHours":6.2118680168773555,"endHours":8.210912955646673,"quality":"auspicious"},{"name":"Amṛta","start":"08:13","end":"10:13","startHours":8.210912955646673,"endHours":10.20995789441599,"quality":"auspicious"},{"name":"Kāla","start":"10:13","end":"12:13","startHours":10.20995789441599,"endHours":12.209002833185309,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"14:12","startHours":12.209002833185309,"endHours":14.208047771954625,"quality":"auspicious"},{"name":"Roga","start":"14:12","end":"16:12","startHours":14.208047771954625,"endHours":16.20709271072394,"quality":"inauspicious"},{"name":"Udveg","start":"16:12","end":"18:12","startHours":16.20709271072394,"endHours":18.20613764949326,"quality":"inauspicious"},{"name":"Chala","start":"18:12","end":"20:12","startHours":18.20613764949326,"endHours":20.205182588262577,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"20:12","end":"21:12","startHours":20.205182588262577,"endHours":21.20613764949326,"quality":"inauspicious"},{"name":"Udveg","start":"21:12","end":"22:12","startHours":21.20613764949326,"endHours":22.20709271072394,"quality":"inauspicious"},{"name":"Chala","start":"22:12","end":"23:12","startHours":22.20709271072394,"endHours":23.208047771954625,"quality":"neutral"},{"name":"Labha","start":"23:12","end":"00:13","startHours":23.208047771954625,"endHours":24.20900283318531,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:13","startHours":24.20900283318531,"endHours":25.20995789441599,"quality":"auspicious"},{"name":"Kāla","start":"01:13","end":"02:13","startHours":25.20995789441599,"endHours":26.210912955646673,"quality":"inauspicious"},{"name":"Śubha","start":"02:13","end":"03:13","startHours":26.210912955646673,"endHours":27.211868016877354,"quality":"auspicious"},{"name":"Roga","start":"03:13","end":"04:13","startHours":27.211868016877354,"endHours":28.212823078108038,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:13","end":"05:13","startHours":4.2128230781080385,"endHours":5.2128230781080385,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:13","end":"06:13","startHours":5.2128230781080385,"endHours":6.2128230781080385,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:13","end":"07:13","startHours":6.2128230781080385,"endHours":7.2128230781080385,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:13","end":"08:13","startHours":7.2128230781080385,"endHours":8.212823078108038,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:13","end":"09:13","startHours":8.212823078108038,"endHours":9.212823078108038,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:13","end":"10:13","startHours":9.212823078108038,"endHours":10.212823078108038,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:13","end":"11:13","startHours":10.212823078108038,"endHours":11.212823078108038,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:13","end":"12:13","startHours":11.212823078108038,"endHours":12.212823078108038,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:13","end":"13:13","startHours":12.212823078108038,"endHours":13.212823078108038,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:13","end":"14:13","startHours":13.212823078108038,"endHours":14.212823078108038,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:13","end":"15:13","startHours":14.212823078108038,"endHours":15.212823078108038,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:13","end":"16:13","startHours":15.212823078108038,"endHours":16.212823078108038,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:13","end":"17:13","startHours":16.212823078108038,"endHours":17.212823078108038,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:13","end":"18:13","startHours":17.212823078108038,"endHours":18.212823078108038,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:13","end":"19:13","startHours":18.212823078108038,"endHours":19.212823078108038,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:13","end":"20:13","startHours":19.212823078108038,"endHours":20.212823078108038,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:13","end":"21:13","startHours":20.212823078108038,"endHours":21.212823078108038,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:13","end":"22:13","startHours":21.212823078108038,"endHours":22.212823078108038,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:13","end":"23:13","startHours":22.212823078108038,"endHours":23.212823078108038,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:13","end":"00:13","startHours":23.212823078108038,"endHours":24.212823078108038,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:13","end":"01:13","startHours":24.212823078108038,"endHours":25.212823078108038,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:13","end":"02:13","startHours":25.212823078108038,"endHours":26.212823078108038,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:13","end":"03:13","startHours":26.212823078108038,"endHours":27.212823078108038,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:13","end":"04:13","startHours":27.212823078108038,"endHours":28.212823078108038,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","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":19.962585440571758,"eotMinutes":-6.160169991118456,"ayanamsa":24.0703}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"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 Aṣṭamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[],"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":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 24, 2015 CE · Berlin, Germany · Vidhyamitra","description":"July 24, 2015 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 04:13, sūryāsta 20:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2015-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2015-07-24","sa":"https://sa.vidhyamitra.com/city/berlin/2015-07-24","hi":"https://hi.vidhyamitra.com/city/berlin/2015-07-24","x-default":"https://vidhyamitra.com/city/berlin/2015-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:36:33.999Z","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":"2026-06-01T10:36:33.999Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:36:33.999Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}