{"id":"vidhyamitra:city-day:berlin:2024-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2024-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-07-04","date_display":"July 4, 2024 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":2024,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460495.770833,"kali_year":5126,"ahargana":1872030.2708,"sun":{"sidereal_longitude":77.9645,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":55.6072,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.6427,"elapsed_within_tithi_degrees":1.6427},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.6072,"elapsed_within_degrees":2.2739},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.5717},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2024,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460495.770833,"ahargana":1872030.2708,"kali_year":5126,"ayanamsa_lahiri":24.1953,"grahas":{"sun":{"sidereal_longitude":78.37852499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":54.66662500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":4.0703},"mars":{"sidereal_longitude":23.598524999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":98.062725,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":44.69032500000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":86.087625,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":325.2986249999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":350.8274,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":170.8274,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2024,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460495.770833,"kali_year":5126,"ahargana":1872030.2708,"sun":{"sidereal_longitude":77.9645,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":55.6072,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.6427,"elapsed_within_tithi_degrees":1.6427},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.6072,"elapsed_within_degrees":2.2739},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.5717},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.07,"elongation":22.357},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.07,"opposition_distance":157.643}},"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":"03:50","sunsetLocal":"20:31","solarNoonLocal":"12:10","dayLengthHours":16.682527077658136,"dayLengthDisplay":"16 Hours 40 Mins 57 Secs","nightLengthDisplay":"7 Hours 19 Mins 03 Secs","moonriseLocal":"02:16","moonsetLocal":"18:55","rahuKala":{"name":"Rāhu Kāla","start":"14:16","end":"16:21","startHours":14.258637772316638,"endHours":16.343953657023903,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"03:50","end":"05:55","startHours":3.8320583487803024,"endHours":5.917374233487569,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:00","end":"10:05","startHours":8.002690118194836,"endHours":10.088006002902103,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:43","end":"08:17","startHours":7.724648000233868,"endHours":8.280732236155806,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:32","end":"04:58","startHours":4.527163643682725,"endHours":4.972031032420275,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:44","startHours":11.617237651687432,"endHours":12.729406123531309,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:36","end":"02:43","startHours":1.6077214050925508,"endHours":2.719889876936427,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:27","end":"03:50","startHours":2.4418477589754577,"endHours":3.8320583487803024,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.95374306721906,"endHours":16.065911539062935,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:19","end":"20:43","startHours":20.314585426438438,"endHours":20.714585426438436,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:31","end":"21:13","startHours":20.514585426438437,"endHours":21.20969072134086,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:16","end":"22:01","startHours":20.264585426438437,"endHours":22.014585426438437,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:44","startHours":23.617237651687432,"endHours":24.729406123531305,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"03:50","end":"05:55","startHours":3.8320583487803024,"endHours":5.917374233487569,"quality":"auspicious"},{"name":"Roga","start":"05:55","end":"08:00","startHours":5.917374233487569,"endHours":8.002690118194836,"quality":"inauspicious"},{"name":"Udveg","start":"08:00","end":"10:05","startHours":8.002690118194836,"endHours":10.088006002902103,"quality":"inauspicious"},{"name":"Chala","start":"10:05","end":"12:10","startHours":10.088006002902103,"endHours":12.17332188760937,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"14:16","startHours":12.17332188760937,"endHours":14.258637772316638,"quality":"auspicious"},{"name":"Amṛta","start":"14:16","end":"16:21","startHours":14.258637772316638,"endHours":16.343953657023903,"quality":"auspicious"},{"name":"Kāla","start":"16:21","end":"18:26","startHours":16.343953657023903,"endHours":18.429269541731173,"quality":"inauspicious"},{"name":"Śubha","start":"18:26","end":"20:31","startHours":18.429269541731173,"endHours":20.514585426438437,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:31","end":"21:26","startHours":20.514585426438437,"endHours":21.42926954173117,"quality":"auspicious"},{"name":"Kāla","start":"21:26","end":"22:21","startHours":21.42926954173117,"endHours":22.343953657023903,"quality":"inauspicious"},{"name":"Śubha","start":"22:21","end":"23:16","startHours":22.343953657023903,"endHours":23.258637772316636,"quality":"auspicious"},{"name":"Roga","start":"23:16","end":"00:10","startHours":23.258637772316636,"endHours":24.17332188760937,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:05","startHours":24.17332188760937,"endHours":25.0880060029021,"quality":"inauspicious"},{"name":"Chala","start":"01:05","end":"02:00","startHours":25.0880060029021,"endHours":26.002690118194835,"quality":"neutral"},{"name":"Labha","start":"02:00","end":"02:55","startHours":26.002690118194835,"endHours":26.917374233487568,"quality":"auspicious"},{"name":"Amṛta","start":"02:55","end":"03:50","startHours":26.917374233487568,"endHours":27.8320583487803,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:50","end":"04:50","startHours":3.8320583487803024,"endHours":4.832058348780302,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"04:50","end":"05:50","startHours":4.832058348780302,"endHours":5.832058348780302,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"05:50","end":"06:50","startHours":5.832058348780302,"endHours":6.832058348780302,"planetary_lord":"Moon"},{"name":"Hora 4","start":"06:50","end":"07:50","startHours":6.832058348780302,"endHours":7.832058348780302,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"07:50","end":"08:50","startHours":7.832058348780302,"endHours":8.832058348780302,"planetary_lord":"Venus"},{"name":"Hora 6","start":"08:50","end":"09:50","startHours":8.832058348780302,"endHours":9.832058348780302,"planetary_lord":"Sun"},{"name":"Hora 7","start":"09:50","end":"10:50","startHours":9.832058348780302,"endHours":10.832058348780302,"planetary_lord":"Mars"},{"name":"Hora 8","start":"10:50","end":"11:50","startHours":10.832058348780302,"endHours":11.832058348780302,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"11:50","end":"12:50","startHours":11.832058348780302,"endHours":12.832058348780302,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"12:50","end":"13:50","startHours":12.832058348780302,"endHours":13.832058348780302,"planetary_lord":"Moon"},{"name":"Hora 11","start":"13:50","end":"14:50","startHours":13.832058348780302,"endHours":14.832058348780302,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"14:50","end":"15:50","startHours":14.832058348780302,"endHours":15.832058348780302,"planetary_lord":"Venus"},{"name":"Hora 13","start":"15:50","end":"16:50","startHours":15.832058348780302,"endHours":16.8320583487803,"planetary_lord":"Sun"},{"name":"Hora 14","start":"16:50","end":"17:50","startHours":16.8320583487803,"endHours":17.8320583487803,"planetary_lord":"Mars"},{"name":"Hora 15","start":"17:50","end":"18:50","startHours":17.8320583487803,"endHours":18.8320583487803,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"18:50","end":"19:50","startHours":18.8320583487803,"endHours":19.8320583487803,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"19:50","end":"20:50","startHours":19.8320583487803,"endHours":20.8320583487803,"planetary_lord":"Moon"},{"name":"Hora 18","start":"20:50","end":"21:50","startHours":20.8320583487803,"endHours":21.8320583487803,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"21:50","end":"22:50","startHours":21.8320583487803,"endHours":22.8320583487803,"planetary_lord":"Venus"},{"name":"Hora 20","start":"22:50","end":"23:50","startHours":22.8320583487803,"endHours":23.8320583487803,"planetary_lord":"Sun"},{"name":"Hora 21","start":"23:50","end":"00:50","startHours":23.8320583487803,"endHours":24.8320583487803,"planetary_lord":"Mars"},{"name":"Hora 22","start":"00:50","end":"01:50","startHours":24.8320583487803,"endHours":25.8320583487803,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"01:50","end":"02:50","startHours":25.8320583487803,"endHours":26.8320583487803,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"02:50","end":"03:50","startHours":26.8320583487803,"endHours":27.8320583487803,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":22.8421323314234,"eotMinutes":-4.019313256562166,"ayanamsa":24.1953}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 4, 2024 CE · Berlin, Germany · Vidhyamitra","description":"July 4, 2024 CE for Berlin, Germany: Kṛṣṇa Caturdaśī, sūryodaya 03:50, sūryāsta 20:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2024-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2024-07-04","sa":"https://sa.vidhyamitra.com/city/berlin/2024-07-04","hi":"https://hi.vidhyamitra.com/city/berlin/2024-07-04","x-default":"https://vidhyamitra.com/city/berlin/2024-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:38:53.937Z","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":"2026-05-14T21:38:53.937Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:38:53.937Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}