{"id":"vidhyamitra:city-day:berlin:2029-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2029-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-07-29","date_display":"July 29, 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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462346.770833,"kali_year":5131,"ahargana":1873881.2708,"sun":{"sidereal_longitude":101.3767,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.8461,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.4694,"elapsed_within_tithi_degrees":7.4694},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.8461,"elapsed_within_degrees":4.8461},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.2229},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2029,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462346.770833,"ahargana":1873881.2708,"kali_year":5131,"ayanamsa_lahiri":24.2661,"grahas":{"sun":{"sidereal_longitude":101.96520299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":323.0551029999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":4.2816},"mars":{"sidereal_longitude":179.77630299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":120.511503,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":176.141303,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":134.33820300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":29.359002999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":252.7525,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":72.7525,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462346.770833,"kali_year":5131,"ahargana":1873881.2708,"sun":{"sidereal_longitude":101.3767,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.8461,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.4694,"elapsed_within_tithi_degrees":7.4694},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.8461,"elapsed_within_degrees":4.8461},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.2229},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.282,"elongation":136.531},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.282,"opposition_distance":43.469}},"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":"04:21","sunsetLocal":"20:04","solarNoonLocal":"12:13","dayLengthHours":15.711869581556414,"dayLengthDisplay":"15 Hours 42 Mins 43 Secs","nightLengthDisplay":"8 Hours 17 Mins 17 Secs","moonriseLocal":"21:19","moonsetLocal":"08:35","rahuKala":{"name":"Rāhu Kāla","start":"18:06","end":"20:04","startHours":18.100745366509425,"endHours":20.064729064203977,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"14:10","startHours":12.20879427342577,"endHours":14.172777971120322,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:08","end":"18:06","startHours":16.136761668814874,"endHours":18.100745366509425,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:01","end":"08:33","startHours":8.018962385010727,"endHours":8.542691371062608,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:00","end":"05:26","startHours":5.007520715212415,"endHours":5.426503904053919,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.68506528737389,"endHours":12.73252325947765,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:15","end":"03:18","startHours":2.2579435384400424,"endHours":3.3054015105438035,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:03","end":"04:21","startHours":3.0435370175178633,"endHours":4.352859482647564,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:50","end":"15:52","startHours":14.827439203685174,"endHours":15.874897175788934,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:52","end":"20:16","startHours":19.864729064203978,"endHours":20.264729064203976,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:04","end":"20:43","startHours":20.064729064203977,"endHours":20.71939029676883,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:49","end":"21:34","startHours":19.814729064203977,"endHours":21.564729064203977,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.685065287373888,"endHours":24.732523259477652,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:21","end":"06:19","startHours":4.352859482647564,"endHours":6.316843180342116,"quality":"inauspicious"},{"name":"Chala","start":"06:19","end":"08:17","startHours":6.316843180342116,"endHours":8.280826878036667,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"10:15","startHours":8.280826878036667,"endHours":10.244810575731218,"quality":"auspicious"},{"name":"Amṛta","start":"10:15","end":"12:13","startHours":10.244810575731218,"endHours":12.20879427342577,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"14:10","startHours":12.20879427342577,"endHours":14.172777971120322,"quality":"inauspicious"},{"name":"Śubha","start":"14:10","end":"16:08","startHours":14.172777971120322,"endHours":16.136761668814874,"quality":"auspicious"},{"name":"Roga","start":"16:08","end":"18:06","startHours":16.136761668814874,"endHours":18.100745366509425,"quality":"inauspicious"},{"name":"Udveg","start":"18:06","end":"20:04","startHours":18.100745366509425,"endHours":20.064729064203977,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"20:04","end":"21:06","startHours":20.064729064203977,"endHours":21.100745366509425,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:08","startHours":21.100745366509425,"endHours":22.136761668814874,"quality":"inauspicious"},{"name":"Udveg","start":"22:08","end":"23:10","startHours":22.136761668814874,"endHours":23.172777971120322,"quality":"inauspicious"},{"name":"Chala","start":"23:10","end":"00:13","startHours":23.172777971120322,"endHours":24.20879427342577,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:15","startHours":24.20879427342577,"endHours":25.24481057573122,"quality":"auspicious"},{"name":"Amṛta","start":"01:15","end":"02:17","startHours":25.24481057573122,"endHours":26.280826878036667,"quality":"auspicious"},{"name":"Kāla","start":"02:17","end":"03:19","startHours":26.280826878036667,"endHours":27.316843180342115,"quality":"inauspicious"},{"name":"Śubha","start":"03:19","end":"04:21","startHours":27.316843180342115,"endHours":28.352859482647563,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:21","end":"05:21","startHours":4.352859482647564,"endHours":5.352859482647564,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:21","end":"06:21","startHours":5.352859482647564,"endHours":6.352859482647564,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:21","end":"07:21","startHours":6.352859482647564,"endHours":7.352859482647564,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:21","end":"08:21","startHours":7.352859482647564,"endHours":8.352859482647563,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:21","end":"09:21","startHours":8.352859482647563,"endHours":9.352859482647563,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:21","end":"10:21","startHours":9.352859482647563,"endHours":10.352859482647563,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:21","end":"11:21","startHours":10.352859482647563,"endHours":11.352859482647563,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:21","end":"12:21","startHours":11.352859482647563,"endHours":12.352859482647563,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:21","end":"13:21","startHours":12.352859482647563,"endHours":13.352859482647563,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:21","end":"14:21","startHours":13.352859482647563,"endHours":14.352859482647563,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:21","end":"15:21","startHours":14.352859482647563,"endHours":15.352859482647563,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:21","end":"16:21","startHours":15.352859482647563,"endHours":16.352859482647563,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:21","end":"17:21","startHours":16.352859482647563,"endHours":17.352859482647563,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:21","end":"18:21","startHours":17.352859482647563,"endHours":18.352859482647563,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:21","end":"19:21","startHours":18.352859482647563,"endHours":19.352859482647563,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:21","end":"20:21","startHours":19.352859482647563,"endHours":20.352859482647563,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:21","end":"21:21","startHours":20.352859482647563,"endHours":21.352859482647563,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:21","end":"22:21","startHours":21.352859482647563,"endHours":22.352859482647563,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:21","end":"23:21","startHours":22.352859482647563,"endHours":23.352859482647563,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:21","end":"00:21","startHours":23.352859482647563,"endHours":24.352859482647563,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:21","end":"01:21","startHours":24.352859482647563,"endHours":25.352859482647563,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:21","end":"02:21","startHours":25.352859482647563,"endHours":26.352859482647563,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:21","end":"03:21","startHours":26.352859482647563,"endHours":27.352859482647563,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:21","end":"04:21","startHours":27.352859482647563,"endHours":28.352859482647563,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","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":18.712880740797587,"eotMinutes":-6.147656405546237,"ayanamsa":24.2661}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 29, 2029 CE · Berlin, Germany · Vidhyamitra","description":"July 29, 2029 CE for Berlin, Germany: Kṛṣṇa Caturthī, sūryodaya 04:21, sūryāsta 20:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2029-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2029-07-29","sa":"https://sa.vidhyamitra.com/city/berlin/2029-07-29","hi":"https://hi.vidhyamitra.com/city/berlin/2029-07-29","x-default":"https://vidhyamitra.com/city/berlin/2029-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:31:00.205Z","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":"2026-05-14T16:31:00.205Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:31:00.205Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}