{"id":"vidhyamitra:city-day:berlin:2001-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2001-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-04-29","date_display":"April 29, 2001 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":2001,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452028.770833,"kali_year":5103,"ahargana":1863563.2708,"sun":{"sidereal_longitude":14.9993,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":83.3127,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.3134,"elapsed_within_tithi_degrees":8.3134},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":83.3127,"elapsed_within_degrees":3.3127},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.312},"karana":{"half_tithi_index":11,"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":2001,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452028.770833,"ahargana":1863563.2708,"kali_year":5103,"ayanamsa_lahiri":23.8715,"grahas":{"sun":{"sidereal_longitude":14.932227000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":83.01192700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":0.3028},"mars":{"sidereal_longitude":244.18252699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":21.40452700000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":49.155327,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":339.037927,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":37.059826999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":79.4498,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.4498,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2001,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452028.770833,"kali_year":5103,"ahargana":1863563.2708,"sun":{"sidereal_longitude":14.9993,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":83.3127,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.3134,"elapsed_within_tithi_degrees":8.3134},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":83.3127,"elapsed_within_degrees":3.3127},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.312},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.303,"elongation":68.313},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.303,"opposition_distance":111.687}},"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":"04:39","sunsetLocal":"19:28","solarNoonLocal":"12:04","dayLengthHours":14.815940047393433,"dayLengthDisplay":"14 Hours 48 Mins 57 Secs","nightLengthDisplay":"9 Hours 11 Mins 03 Secs","moonriseLocal":"08:21","moonsetLocal":"00:51","rahuKala":{"name":"Rāhu Kāla","start":"17:37","end":"19:28","startHours":17.61825179003802,"endHours":19.4702442959622,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:55","startHours":12.062274272265483,"endHours":13.914266778189663,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:46","end":"17:37","startHours":15.766259284113843,"endHours":17.61825179003802,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:07","end":"08:36","startHours":8.111356926293903,"endHours":8.60522159454035,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:16","end":"05:40","startHours":5.271635083876828,"endHours":5.666726818473986,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:33","startHours":11.568409604019037,"endHours":12.55613894051193,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:41","end":"03:40","startHours":2.6788455755829768,"endHours":3.6665749120758724,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:25","end":"04:39","startHours":3.419642577952649,"endHours":4.654304248568768,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:31","startHours":14.531597613497723,"endHours":15.519326949990619,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:16","end":"19:40","startHours":19.2702442959622,"endHours":19.6702442959622,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:28","end":"20:05","startHours":19.4702442959622,"endHours":20.08757513127026,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:13","end":"20:58","startHours":19.2202442959622,"endHours":20.9702442959622,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:33","startHours":23.568409604019035,"endHours":24.556138940511932,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:39","end":"06:30","startHours":4.654304248568768,"endHours":6.506296754492947,"quality":"inauspicious"},{"name":"Chala","start":"06:30","end":"08:21","startHours":6.506296754492947,"endHours":8.358289260417127,"quality":"neutral"},{"name":"Labha","start":"08:21","end":"10:13","startHours":8.358289260417127,"endHours":10.210281766341305,"quality":"auspicious"},{"name":"Amṛta","start":"10:13","end":"12:04","startHours":10.210281766341305,"endHours":12.062274272265483,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:55","startHours":12.062274272265483,"endHours":13.914266778189663,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:46","startHours":13.914266778189663,"endHours":15.766259284113843,"quality":"auspicious"},{"name":"Roga","start":"15:46","end":"17:37","startHours":15.766259284113843,"endHours":17.61825179003802,"quality":"inauspicious"},{"name":"Udveg","start":"17:37","end":"19:28","startHours":17.61825179003802,"endHours":19.4702442959622,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:28","end":"20:37","startHours":19.4702442959622,"endHours":20.61825179003802,"quality":"auspicious"},{"name":"Roga","start":"20:37","end":"21:46","startHours":20.61825179003802,"endHours":21.766259284113843,"quality":"inauspicious"},{"name":"Udveg","start":"21:46","end":"22:55","startHours":21.766259284113843,"endHours":22.914266778189663,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:04","startHours":22.914266778189663,"endHours":24.062274272265483,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:13","startHours":24.062274272265483,"endHours":25.210281766341303,"quality":"auspicious"},{"name":"Amṛta","start":"01:13","end":"02:21","startHours":25.210281766341303,"endHours":26.358289260417124,"quality":"auspicious"},{"name":"Kāla","start":"02:21","end":"03:30","startHours":26.358289260417124,"endHours":27.506296754492947,"quality":"inauspicious"},{"name":"Śubha","start":"03:30","end":"04:39","startHours":27.506296754492947,"endHours":28.654304248568767,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:39","end":"05:39","startHours":4.654304248568768,"endHours":5.654304248568768,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:39","end":"06:39","startHours":5.654304248568768,"endHours":6.654304248568768,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:39","end":"07:39","startHours":6.654304248568768,"endHours":7.654304248568768,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:39","end":"08:39","startHours":7.654304248568768,"endHours":8.654304248568767,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:39","end":"09:39","startHours":8.654304248568767,"endHours":9.654304248568767,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:39","end":"10:39","startHours":9.654304248568767,"endHours":10.654304248568767,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:39","end":"11:39","startHours":10.654304248568767,"endHours":11.654304248568767,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:39","end":"12:39","startHours":11.654304248568767,"endHours":12.654304248568767,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:39","end":"13:39","startHours":12.654304248568767,"endHours":13.654304248568767,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:39","end":"14:39","startHours":13.654304248568767,"endHours":14.654304248568767,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:39","end":"15:39","startHours":14.654304248568767,"endHours":15.654304248568767,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:39","end":"16:39","startHours":15.654304248568767,"endHours":16.654304248568767,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:39","end":"17:39","startHours":16.654304248568767,"endHours":17.654304248568767,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:39","end":"18:39","startHours":17.654304248568767,"endHours":18.654304248568767,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:39","end":"19:39","startHours":18.654304248568767,"endHours":19.654304248568767,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:39","end":"20:39","startHours":19.654304248568767,"endHours":20.654304248568767,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:39","end":"21:39","startHours":20.654304248568767,"endHours":21.654304248568767,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:39","end":"22:39","startHours":21.654304248568767,"endHours":22.654304248568767,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:39","end":"23:39","startHours":22.654304248568767,"endHours":23.654304248568767,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:39","end":"00:39","startHours":23.654304248568767,"endHours":24.654304248568767,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:39","end":"01:39","startHours":24.654304248568767,"endHours":25.654304248568767,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:39","end":"02:39","startHours":25.654304248568767,"endHours":26.654304248568767,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:39","end":"03:39","startHours":26.654304248568767,"endHours":27.654304248568767,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:39","end":"04:39","startHours":27.654304248568767,"endHours":28.654304248568767,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.432593475839028,"eotMinutes":2.643543664071059,"ayanamsa":23.8715}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Ṣaṣṭhī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 April 29, 2001 CE · Berlin, Germany · Vidhyamitra","description":"April 29, 2001 CE for Berlin, Germany: Śukla Ṣaṣṭhī, sūryodaya 04:39, sūryāsta 19:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2001-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2001-04-29","sa":"https://sa.vidhyamitra.com/city/berlin/2001-04-29","hi":"https://hi.vidhyamitra.com/city/berlin/2001-04-29","x-default":"https://vidhyamitra.com/city/berlin/2001-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:40:31.206Z","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":"2026-05-31T20:40:31.206Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:40:31.206Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}