{"id":"vidhyamitra:city-day:berlin:2029-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2029-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-07-04","date_display":"July 4, 2029 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":2029,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462321.770833,"kali_year":5131,"ahargana":1873856.2708,"sun":{"sidereal_longitude":77.6865,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":350.8852,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.1988,"elapsed_within_tithi_degrees":9.1988},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.8852,"elapsed_within_degrees":4.2186},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.5717},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2029,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462321.770833,"ahargana":1873856.2708,"kali_year":5131,"ayanamsa_lahiri":24.2652,"grahas":{"sun":{"sidereal_longitude":78.11055799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":351.350658,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":4.4682},"mars":{"sidereal_longitude":166.766258,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":70.637158,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":173.86865799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":104.285258,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":27.317957999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":254.0771,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":74.0771,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2029,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462321.770833,"kali_year":5131,"ahargana":1873856.2708,"sun":{"sidereal_longitude":77.6865,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":350.8852,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.1988,"elapsed_within_tithi_degrees":9.1988},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.8852,"elapsed_within_degrees":4.2186},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.5717},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.468,"elongation":86.801},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.468,"opposition_distance":93.199}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-0.311,"opposition_distance":0.425}]},"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":16.68718381230892,"dayLengthDisplay":"16 Hours 41 Mins 14 Secs","nightLengthDisplay":"7 Hours 18 Mins 46 Secs","moonriseLocal":"23:47","moonsetLocal":"13:00","rahuKala":{"name":"Rāhu Kāla","start":"12:10","end":"14:16","startHours":12.17332188760937,"endHours":14.259219864147985,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:55","end":"08:00","startHours":5.915627957993525,"endHours":8.00152593453214,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:05","end":"12:10","startHours":10.087423911070756,"endHours":12.17332188760937,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:43","end":"08:17","startHours":7.723406204326992,"endHours":8.27964566473729,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:32","end":"04:58","startHours":4.525029306967783,"endHours":4.97002087529602,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:44","startHours":11.617082427199072,"endHours":12.729561348019669,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:36","end":"02:43","startHours":1.6047721398137211,"endHours":2.717251060634316,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:26","end":"03:50","startHours":2.4391313304291673,"endHours":3.8297299814549106,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.954519189660857,"endHours":16.066998110481453,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:19","end":"20:43","startHours":20.31691379376383,"endHours":20.71691379376383,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:31","end":"21:13","startHours":20.51691379376383,"endHours":21.2122131192767,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:16","end":"22:01","startHours":20.26691379376383,"endHours":22.01691379376383,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:44","startHours":23.617082427199072,"endHours":24.729561348019665,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"03:50","end":"05:55","startHours":3.8297299814549106,"endHours":5.915627957993525,"quality":"auspicious"},{"name":"Amṛta","start":"05:55","end":"08:00","startHours":5.915627957993525,"endHours":8.00152593453214,"quality":"auspicious"},{"name":"Kāla","start":"08:00","end":"10:05","startHours":8.00152593453214,"endHours":10.087423911070756,"quality":"inauspicious"},{"name":"Śubha","start":"10:05","end":"12:10","startHours":10.087423911070756,"endHours":12.17332188760937,"quality":"auspicious"},{"name":"Roga","start":"12:10","end":"14:16","startHours":12.17332188760937,"endHours":14.259219864147985,"quality":"inauspicious"},{"name":"Udveg","start":"14:16","end":"16:21","startHours":14.259219864147985,"endHours":16.3451178406866,"quality":"inauspicious"},{"name":"Chala","start":"16:21","end":"18:26","startHours":16.3451178406866,"endHours":18.431015817225216,"quality":"neutral"},{"name":"Labha","start":"18:26","end":"20:31","startHours":18.431015817225216,"endHours":20.51691379376383,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"20:31","end":"21:26","startHours":20.51691379376383,"endHours":21.431015817225216,"quality":"inauspicious"},{"name":"Chala","start":"21:26","end":"22:21","startHours":21.431015817225216,"endHours":22.3451178406866,"quality":"neutral"},{"name":"Labha","start":"22:21","end":"23:16","startHours":22.3451178406866,"endHours":23.259219864147987,"quality":"auspicious"},{"name":"Amṛta","start":"23:16","end":"00:10","startHours":23.259219864147987,"endHours":24.17332188760937,"quality":"auspicious"},{"name":"Kāla","start":"00:10","end":"01:05","startHours":24.17332188760937,"endHours":25.087423911070758,"quality":"inauspicious"},{"name":"Śubha","start":"01:05","end":"02:00","startHours":25.087423911070758,"endHours":26.00152593453214,"quality":"auspicious"},{"name":"Roga","start":"02:00","end":"02:55","startHours":26.00152593453214,"endHours":26.915627957993525,"quality":"inauspicious"},{"name":"Udveg","start":"02:55","end":"03:50","startHours":26.915627957993525,"endHours":27.82972998145491,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"03:50","end":"04:50","startHours":3.8297299814549106,"endHours":4.829729981454911,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"04:50","end":"05:50","startHours":4.829729981454911,"endHours":5.829729981454911,"planetary_lord":"Venus"},{"name":"Hora 3","start":"05:50","end":"06:50","startHours":5.829729981454911,"endHours":6.829729981454911,"planetary_lord":"Sun"},{"name":"Hora 4","start":"06:50","end":"07:50","startHours":6.829729981454911,"endHours":7.829729981454911,"planetary_lord":"Mars"},{"name":"Hora 5","start":"07:50","end":"08:50","startHours":7.829729981454911,"endHours":8.82972998145491,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"08:50","end":"09:50","startHours":8.82972998145491,"endHours":9.82972998145491,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"09:50","end":"10:50","startHours":9.82972998145491,"endHours":10.82972998145491,"planetary_lord":"Moon"},{"name":"Hora 8","start":"10:50","end":"11:50","startHours":10.82972998145491,"endHours":11.82972998145491,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"11:50","end":"12:50","startHours":11.82972998145491,"endHours":12.82972998145491,"planetary_lord":"Venus"},{"name":"Hora 10","start":"12:50","end":"13:50","startHours":12.82972998145491,"endHours":13.82972998145491,"planetary_lord":"Sun"},{"name":"Hora 11","start":"13:50","end":"14:50","startHours":13.82972998145491,"endHours":14.82972998145491,"planetary_lord":"Mars"},{"name":"Hora 12","start":"14:50","end":"15:50","startHours":14.82972998145491,"endHours":15.82972998145491,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"15:50","end":"16:50","startHours":15.82972998145491,"endHours":16.82972998145491,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"16:50","end":"17:50","startHours":16.82972998145491,"endHours":17.82972998145491,"planetary_lord":"Moon"},{"name":"Hora 15","start":"17:50","end":"18:50","startHours":17.82972998145491,"endHours":18.82972998145491,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"18:50","end":"19:50","startHours":18.82972998145491,"endHours":19.82972998145491,"planetary_lord":"Venus"},{"name":"Hora 17","start":"19:50","end":"20:50","startHours":19.82972998145491,"endHours":20.82972998145491,"planetary_lord":"Sun"},{"name":"Hora 18","start":"20:50","end":"21:50","startHours":20.82972998145491,"endHours":21.82972998145491,"planetary_lord":"Mars"},{"name":"Hora 19","start":"21:50","end":"22:50","startHours":21.82972998145491,"endHours":22.82972998145491,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"22:50","end":"23:50","startHours":22.82972998145491,"endHours":23.82972998145491,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"23:50","end":"00:50","startHours":23.82972998145491,"endHours":24.82972998145491,"planetary_lord":"Moon"},{"name":"Hora 22","start":"00:50","end":"01:50","startHours":24.82972998145491,"endHours":25.82972998145491,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"01:50","end":"02:50","startHours":25.82972998145491,"endHours":26.82972998145491,"planetary_lord":"Venus"},{"name":"Hora 24","start":"02:50","end":"03:50","startHours":26.82972998145491,"endHours":27.82972998145491,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","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":22.860598394726587,"eotMinutes":-4.019313256562166,"ayanamsa":24.2652}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Aṣṭamī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"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}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 4, 2029 CE · Berlin, Germany · Vidhyamitra","description":"July 4, 2029 CE for Berlin, Germany: Kṛṣṇa Aṣṭamī, sūryodaya 03:50, sūryāsta 20:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2029-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2029-07-04","sa":"https://sa.vidhyamitra.com/city/berlin/2029-07-04","hi":"https://hi.vidhyamitra.com/city/berlin/2029-07-04","x-default":"https://vidhyamitra.com/city/berlin/2029-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:33:21.797Z","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":"2026-05-14T21:33:21.797Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:33:21.797Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}