{"id":"vidhyamitra:city-day:berlin:2011-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2011-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-07-24","date_display":"July 24, 2011 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":2011,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455766.770833,"kali_year":5113,"ahargana":1867301.2708,"sun":{"sidereal_longitude":96.3059,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":16.8253,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.5194,"elapsed_within_tithi_degrees":4.5194},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":16.8253,"elapsed_within_degrees":3.492},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.1312},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2011,"month":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455766.770833,"ahargana":1867301.2708,"kali_year":5113,"ayanamsa_lahiri":24.0145,"grahas":{"sun":{"sidereal_longitude":96.817608,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":15.980107999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":3.1562},"mars":{"sidereal_longitude":58.77830799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":123.12790799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":14.059208000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":90.19530800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":167.52820799999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":241.3926,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.3926,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2011,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455766.770833,"kali_year":5113,"ahargana":1867301.2708,"sun":{"sidereal_longitude":96.3059,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":16.8253,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.5194,"elapsed_within_tithi_degrees":4.5194},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":16.8253,"elapsed_within_degrees":3.492},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.1312},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.156,"elongation":79.481},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.156,"opposition_distance":100.519}},"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":15.993970534997535,"dayLengthDisplay":"15 Hours 59 Mins 38 Secs","nightLengthDisplay":"8 Hours 00 Mins 22 Secs","moonriseLocal":"23:24","moonsetLocal":"14:14","rahuKala":{"name":"Rāhu Kāla","start":"18:12","end":"20:12","startHours":18.206741783809385,"endHours":20.205988100684074,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"14:12","startHours":12.209002833185306,"endHours":14.208249150059999,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:12","end":"18:12","startHours":16.207495466934688,"endHours":18.206741783809385,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:57","end":"08:29","startHours":7.94394402385263,"endHours":8.477076375019216,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:53","end":"05:18","startHours":4.878433004644769,"endHours":5.304938885578037,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:45","startHours":11.675870482018723,"endHours":12.742135184351891,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:05","end":"03:09","startHours":2.0794881610202007,"endHours":3.14575286335337,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:53","end":"04:13","startHours":2.8791866877700776,"endHours":4.212017565686539,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:56","startHours":14.874664589018229,"endHours":15.940929291351399,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:00","end":"20:24","startHours":20.005988100684075,"endHours":20.405988100684073,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:12","end":"20:52","startHours":20.205988100684074,"endHours":20.872403539642306,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:57","end":"21:42","startHours":19.955988100684074,"endHours":21.705988100684074,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:45","startHours":23.675870482018723,"endHours":24.742135184351895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:13","end":"06:13","startHours":4.212017565686539,"endHours":6.211263882561231,"quality":"inauspicious"},{"name":"Chala","start":"06:13","end":"08:13","startHours":6.211263882561231,"endHours":8.210510199435923,"quality":"neutral"},{"name":"Labha","start":"08:13","end":"10:13","startHours":8.210510199435923,"endHours":10.209756516310614,"quality":"auspicious"},{"name":"Amṛta","start":"10:13","end":"12:13","startHours":10.209756516310614,"endHours":12.209002833185306,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"14:12","startHours":12.209002833185306,"endHours":14.208249150059999,"quality":"inauspicious"},{"name":"Śubha","start":"14:12","end":"16:12","startHours":14.208249150059999,"endHours":16.207495466934688,"quality":"auspicious"},{"name":"Roga","start":"16:12","end":"18:12","startHours":16.207495466934688,"endHours":18.206741783809385,"quality":"inauspicious"},{"name":"Udveg","start":"18:12","end":"20:12","startHours":18.206741783809385,"endHours":20.205988100684074,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"20:12","end":"21:12","startHours":20.205988100684074,"endHours":21.20674178380938,"quality":"auspicious"},{"name":"Roga","start":"21:12","end":"22:12","startHours":21.20674178380938,"endHours":22.20749546693469,"quality":"inauspicious"},{"name":"Udveg","start":"22:12","end":"23:12","startHours":22.20749546693469,"endHours":23.20824915006,"quality":"inauspicious"},{"name":"Chala","start":"23:12","end":"00:13","startHours":23.20824915006,"endHours":24.209002833185306,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:13","startHours":24.209002833185306,"endHours":25.209756516310613,"quality":"auspicious"},{"name":"Amṛta","start":"01:13","end":"02:13","startHours":25.209756516310613,"endHours":26.210510199435923,"quality":"auspicious"},{"name":"Kāla","start":"02:13","end":"03:13","startHours":26.210510199435923,"endHours":27.21126388256123,"quality":"inauspicious"},{"name":"Śubha","start":"03:13","end":"04:13","startHours":27.21126388256123,"endHours":28.212017565686537,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:13","end":"05:13","startHours":4.212017565686539,"endHours":5.212017565686539,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:13","end":"06:13","startHours":5.212017565686539,"endHours":6.212017565686539,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:13","end":"07:13","startHours":6.212017565686539,"endHours":7.212017565686539,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:13","end":"08:13","startHours":7.212017565686539,"endHours":8.212017565686539,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:13","end":"09:13","startHours":8.212017565686539,"endHours":9.212017565686539,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:13","end":"10:13","startHours":9.212017565686539,"endHours":10.212017565686539,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:13","end":"11:13","startHours":10.212017565686539,"endHours":11.212017565686539,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:13","end":"12:13","startHours":11.212017565686539,"endHours":12.212017565686539,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:13","end":"13:13","startHours":12.212017565686539,"endHours":13.212017565686539,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:13","end":"14:13","startHours":13.212017565686539,"endHours":14.212017565686539,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:13","end":"15:13","startHours":14.212017565686539,"endHours":15.212017565686539,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:13","end":"16:13","startHours":15.212017565686539,"endHours":16.212017565686537,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:13","end":"17:13","startHours":16.212017565686537,"endHours":17.212017565686537,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:13","end":"18:13","startHours":17.212017565686537,"endHours":18.212017565686537,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:13","end":"19:13","startHours":18.212017565686537,"endHours":19.212017565686537,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:13","end":"20:13","startHours":19.212017565686537,"endHours":20.212017565686537,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:13","end":"21:13","startHours":20.212017565686537,"endHours":21.212017565686537,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:13","end":"22:13","startHours":21.212017565686537,"endHours":22.212017565686537,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:13","end":"23:13","startHours":22.212017565686537,"endHours":23.212017565686537,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:13","end":"00:13","startHours":23.212017565686537,"endHours":24.212017565686537,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:13","end":"01:13","startHours":24.212017565686537,"endHours":25.212017565686537,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:13","end":"02:13","startHours":25.212017565686537,"endHours":26.212017565686537,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:13","end":"03:13","startHours":26.212017565686537,"endHours":27.212017565686537,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:13","end":"04:13","startHours":27.212017565686537,"endHours":28.212017565686537,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","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":19.969632938165493,"eotMinutes":-6.160169991118456,"ayanamsa":24.0145}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"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}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 July 24, 2011 CE · Berlin, Germany · Vidhyamitra","description":"July 24, 2011 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 04:13, sūryāsta 20:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2011-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2011-07-24","sa":"https://sa.vidhyamitra.com/city/berlin/2011-07-24","hi":"https://hi.vidhyamitra.com/city/berlin/2011-07-24","x-default":"https://vidhyamitra.com/city/berlin/2011-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T02:33:31.697Z","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":"2026-05-16T02:33:31.697Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T02:33:31.697Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}