{"id":"vidhyamitra:city-day:berlin:2145-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2145-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2145-07-29","date_display":"July 29, 2145 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":2145,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504714.770833,"kali_year":5247,"ahargana":1916249.2708,"sun":{"sidereal_longitude":99.4627,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":214.5204,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.0577,"elapsed_within_tithi_degrees":7.0577},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.5204,"elapsed_within_degrees":1.187},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.983},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2145,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2504714.770833,"ahargana":1916249.2708,"kali_year":5247,"ayanamsa_lahiri":25.8865,"grahas":{"sun":{"sidereal_longitude":100.32023400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":213.17703400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":3.2695},"mars":{"sidereal_longitude":108.85693400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":79.30763400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":109.22443399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":66.904334,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":5.008833999999979,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":167.892,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.892,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":2145,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504714.770833,"kali_year":5247,"ahargana":1916249.2708,"sun":{"sidereal_longitude":99.4627,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":214.5204,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.0577,"elapsed_within_tithi_degrees":7.0577},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.5204,"elapsed_within_degrees":1.187},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.983},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.27,"elongation":115.058},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.27,"opposition_distance":64.942}},"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":15.713213933018125,"dayLengthDisplay":"15 Hours 42 Mins 48 Secs","nightLengthDisplay":"8 Hours 17 Mins 12 Secs","moonriseLocal":"15:32","moonsetLocal":"23:56","rahuKala":{"name":"Rāhu Kāla","start":"14:10","end":"16:08","startHours":14.172946015053036,"endHours":16.1370977566803,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:21","end":"06:19","startHours":4.352187306916708,"endHours":6.316339048543973,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"10:15","startHours":8.280490790171239,"endHours":10.244642531798505,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:01","end":"08:33","startHours":8.018603891287604,"endHours":8.542377689054874,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:00","end":"05:26","startHours":5.006904554125796,"endHours":5.425923592339613,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.685020475658499,"endHours":12.732568071193041,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:15","end":"03:18","startHours":2.2570921158476245,"endHours":3.3046397113821664,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:03","end":"04:21","startHours":3.042752812498531,"endHours":4.352187306916708,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:50","end":"15:53","startHours":14.827663262262124,"endHours":15.875210857796667,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:52","end":"20:16","startHours":19.865401239934833,"endHours":20.265401239934832,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:04","end":"20:43","startHours":20.065401239934832,"endHours":20.72011848714392,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:49","end":"21:34","startHours":19.815401239934832,"endHours":21.565401239934832,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.6850204756585,"endHours":24.73256807119304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:21","end":"06:19","startHours":4.352187306916708,"endHours":6.316339048543973,"quality":"auspicious"},{"name":"Roga","start":"06:19","end":"08:17","startHours":6.316339048543973,"endHours":8.280490790171239,"quality":"inauspicious"},{"name":"Udveg","start":"08:17","end":"10:15","startHours":8.280490790171239,"endHours":10.244642531798505,"quality":"inauspicious"},{"name":"Chala","start":"10:15","end":"12:13","startHours":10.244642531798505,"endHours":12.20879427342577,"quality":"neutral"},{"name":"Labha","start":"12:13","end":"14:10","startHours":12.20879427342577,"endHours":14.172946015053036,"quality":"auspicious"},{"name":"Amṛta","start":"14:10","end":"16:08","startHours":14.172946015053036,"endHours":16.1370977566803,"quality":"auspicious"},{"name":"Kāla","start":"16:08","end":"18:06","startHours":16.1370977566803,"endHours":18.101249498307567,"quality":"inauspicious"},{"name":"Śubha","start":"18:06","end":"20:04","startHours":18.101249498307567,"endHours":20.065401239934832,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:04","end":"21:06","startHours":20.065401239934832,"endHours":21.101249498307567,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:08","startHours":21.101249498307567,"endHours":22.1370977566803,"quality":"inauspicious"},{"name":"Śubha","start":"22:08","end":"23:10","startHours":22.1370977566803,"endHours":23.172946015053036,"quality":"auspicious"},{"name":"Roga","start":"23:10","end":"00:13","startHours":23.172946015053036,"endHours":24.20879427342577,"quality":"inauspicious"},{"name":"Udveg","start":"00:13","end":"01:15","startHours":24.20879427342577,"endHours":25.244642531798505,"quality":"inauspicious"},{"name":"Chala","start":"01:15","end":"02:17","startHours":25.244642531798505,"endHours":26.28049079017124,"quality":"neutral"},{"name":"Labha","start":"02:17","end":"03:19","startHours":26.28049079017124,"endHours":27.316339048543973,"quality":"auspicious"},{"name":"Amṛta","start":"03:19","end":"04:21","startHours":27.316339048543973,"endHours":28.352187306916708,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:21","end":"05:21","startHours":4.352187306916708,"endHours":5.352187306916708,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:21","end":"06:21","startHours":5.352187306916708,"endHours":6.352187306916708,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:21","end":"07:21","startHours":6.352187306916708,"endHours":7.352187306916708,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:21","end":"08:21","startHours":7.352187306916708,"endHours":8.352187306916708,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:21","end":"09:21","startHours":8.352187306916708,"endHours":9.352187306916708,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:21","end":"10:21","startHours":9.352187306916708,"endHours":10.352187306916708,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:21","end":"11:21","startHours":10.352187306916708,"endHours":11.352187306916708,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:21","end":"12:21","startHours":11.352187306916708,"endHours":12.352187306916708,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:21","end":"13:21","startHours":12.352187306916708,"endHours":13.352187306916708,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:21","end":"14:21","startHours":13.352187306916708,"endHours":14.352187306916708,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:21","end":"15:21","startHours":14.352187306916708,"endHours":15.352187306916708,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:21","end":"16:21","startHours":15.352187306916708,"endHours":16.352187306916708,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:21","end":"17:21","startHours":16.352187306916708,"endHours":17.352187306916708,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:21","end":"18:21","startHours":17.352187306916708,"endHours":18.352187306916708,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:21","end":"19:21","startHours":18.352187306916708,"endHours":19.352187306916708,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:21","end":"20:21","startHours":19.352187306916708,"endHours":20.352187306916708,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:21","end":"21:21","startHours":20.352187306916708,"endHours":21.352187306916708,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:21","end":"22:21","startHours":21.352187306916708,"endHours":22.352187306916708,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:21","end":"23:21","startHours":22.352187306916708,"endHours":23.352187306916708,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:21","end":"00:21","startHours":23.352187306916708,"endHours":24.352187306916708,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:21","end":"01:21","startHours":24.352187306916708,"endHours":25.352187306916708,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:21","end":"02:21","startHours":25.352187306916708,"endHours":26.352187306916708,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:21","end":"03:21","startHours":26.352187306916708,"endHours":27.352187306916708,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:21","end":"04:21","startHours":27.352187306916708,"endHours":28.352187306916708,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","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":18.71897705732463,"eotMinutes":-6.147656405546237,"ayanamsa":25.8865}},"calendars":{"vikram_samvat":2202,"vikram_samvatsara":"Kālayukta","saka_samvat":2067,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1552,"malayalam_era":1321,"nanakshahi_year":676,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Śukla Daśamī · Vikram 2202 Kālayukta · Śaka 2067 Viśvāvasu"},"festivals":[],"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 29, 2145 CE · Berlin, Germany · Vidhyamitra","description":"July 29, 2145 CE for Berlin, Germany: Śukla Daśamī, sūryodaya 04:21, sūryāsta 20:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2145-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2145-07-29","sa":"https://sa.vidhyamitra.com/city/berlin/2145-07-29","hi":"https://hi.vidhyamitra.com/city/berlin/2145-07-29","x-default":"https://vidhyamitra.com/city/berlin/2145-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:34:02.638Z","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":"2026-06-01T13:34:02.638Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:34:02.638Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}