{"id":"vidhyamitra:city-day:berlin:2045-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2045-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-05-04","date_display":"May 4, 2045 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468104.770833,"kali_year":5147,"ahargana":1879639.2708,"sun":{"sidereal_longitude":19.4548,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":235.1188,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.664,"elapsed_within_tithi_degrees":11.664},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.1188,"elapsed_within_degrees":8.4522},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.5737},"karana":{"half_tithi_index":35,"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":2045,"month":5,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468104.770833,"ahargana":1879639.2708,"kali_year":5147,"ayanamsa_lahiri":24.4863,"grahas":{"sun":{"sidereal_longitude":19.514004999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":233.246305,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":-4.2924},"mars":{"sidereal_longitude":18.485304999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":357.199005,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":312.99600499999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":30.71590500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.87760500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.666,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.666,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468104.770833,"kali_year":5147,"ahargana":1879639.2708,"sun":{"sidereal_longitude":19.4548,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":235.1188,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.664,"elapsed_within_tithi_degrees":11.664},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.1188,"elapsed_within_degrees":8.4522},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.5737},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.292,"elongation":144.336},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.292,"opposition_distance":35.664}},"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":"04:29","sunsetLocal":"19:37","solarNoonLocal":"12:03","dayLengthHours":15.141941431757157,"dayLengthDisplay":"15 Hours 08 Mins 31 Secs","nightLengthDisplay":"8 Hours 51 Mins 29 Secs","moonriseLocal":"22:27","moonsetLocal":"06:09","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"15:50","startHours":13.944768385334982,"endHours":15.837511064304625,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:29","end":"06:22","startHours":4.481054990486759,"endHours":6.373797669456403,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:16","end":"10:10","startHours":8.266540348426048,"endHours":10.159283027395691,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:01","end":"08:31","startHours":8.014174657896763,"endHours":8.518906038955334,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:07","end":"05:31","startHours":5.111969216809974,"endHours":5.515754321656831,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:33","startHours":11.547294325306764,"endHours":12.55675708742391,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:28","end":"03:28","startHours":2.462129466252471,"endHours":3.471592228369615,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:13","end":"04:29","startHours":3.2192265378403286,"endHours":4.481054990486759,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:35","startHours":14.575682611658198,"endHours":15.585145373775342,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:25","end":"19:49","startHours":19.422996422243916,"endHours":19.822996422243914,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:37","end":"20:15","startHours":19.622996422243915,"endHours":20.25391064856713,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:22","end":"21:07","startHours":19.372996422243915,"endHours":21.122996422243915,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:33","startHours":23.547294325306762,"endHours":24.556757087423907,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:29","end":"06:22","startHours":4.481054990486759,"endHours":6.373797669456403,"quality":"auspicious"},{"name":"Roga","start":"06:22","end":"08:16","startHours":6.373797669456403,"endHours":8.266540348426048,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"10:10","startHours":8.266540348426048,"endHours":10.159283027395691,"quality":"inauspicious"},{"name":"Chala","start":"10:10","end":"12:03","startHours":10.159283027395691,"endHours":12.052025706365338,"quality":"neutral"},{"name":"Labha","start":"12:03","end":"13:57","startHours":12.052025706365338,"endHours":13.944768385334982,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"15:50","startHours":13.944768385334982,"endHours":15.837511064304625,"quality":"auspicious"},{"name":"Kāla","start":"15:50","end":"17:44","startHours":15.837511064304625,"endHours":17.73025374327427,"quality":"inauspicious"},{"name":"Śubha","start":"17:44","end":"19:37","startHours":17.73025374327427,"endHours":19.622996422243915,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:37","end":"20:44","startHours":19.622996422243915,"endHours":20.73025374327427,"quality":"auspicious"},{"name":"Kāla","start":"20:44","end":"21:50","startHours":20.73025374327427,"endHours":21.837511064304625,"quality":"inauspicious"},{"name":"Śubha","start":"21:50","end":"22:57","startHours":21.837511064304625,"endHours":22.94476838533498,"quality":"auspicious"},{"name":"Roga","start":"22:57","end":"00:03","startHours":22.94476838533498,"endHours":24.052025706365335,"quality":"inauspicious"},{"name":"Udveg","start":"00:03","end":"01:10","startHours":24.052025706365335,"endHours":25.15928302739569,"quality":"inauspicious"},{"name":"Chala","start":"01:10","end":"02:16","startHours":25.15928302739569,"endHours":26.266540348426048,"quality":"neutral"},{"name":"Labha","start":"02:16","end":"03:22","startHours":26.266540348426048,"endHours":27.3737976694564,"quality":"auspicious"},{"name":"Amṛta","start":"03:22","end":"04:29","startHours":27.3737976694564,"endHours":28.481054990486758,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:29","end":"05:29","startHours":4.481054990486759,"endHours":5.481054990486759,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:29","end":"06:29","startHours":5.481054990486759,"endHours":6.481054990486759,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:29","end":"07:29","startHours":6.481054990486759,"endHours":7.481054990486759,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:29","end":"08:29","startHours":7.481054990486759,"endHours":8.481054990486758,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:29","end":"09:29","startHours":8.481054990486758,"endHours":9.481054990486758,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:29","end":"10:29","startHours":9.481054990486758,"endHours":10.481054990486758,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:29","end":"11:29","startHours":10.481054990486758,"endHours":11.481054990486758,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:29","end":"12:29","startHours":11.481054990486758,"endHours":12.481054990486758,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:29","end":"13:29","startHours":12.481054990486758,"endHours":13.481054990486758,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:29","end":"14:29","startHours":13.481054990486758,"endHours":14.481054990486758,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:29","end":"15:29","startHours":14.481054990486758,"endHours":15.481054990486758,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:29","end":"16:29","startHours":15.481054990486758,"endHours":16.481054990486758,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:29","end":"17:29","startHours":16.481054990486758,"endHours":17.481054990486758,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:29","end":"18:29","startHours":17.481054990486758,"endHours":18.481054990486758,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:29","end":"19:29","startHours":18.481054990486758,"endHours":19.481054990486758,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:29","end":"20:29","startHours":19.481054990486758,"endHours":20.481054990486758,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:29","end":"21:29","startHours":20.481054990486758,"endHours":21.481054990486758,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:29","end":"22:29","startHours":21.481054990486758,"endHours":22.481054990486758,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:29","end":"23:29","startHours":22.481054990486758,"endHours":23.481054990486758,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:29","end":"00:29","startHours":23.481054990486758,"endHours":24.481054990486758,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:29","end":"01:29","startHours":24.481054990486758,"endHours":25.481054990486758,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:29","end":"02:29","startHours":25.481054990486758,"endHours":26.481054990486758,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:29","end":"03:29","startHours":26.481054990486758,"endHours":27.481054990486758,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:29","end":"04:29","startHours":27.481054990486758,"endHours":28.481054990486758,"planetary_lord":"Moon"}],"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":["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":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.038886989018973,"eotMinutes":3.258457618079846,"ayanamsa":24.4863}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","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":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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 May 4, 2045 CE · Berlin, Germany · Vidhyamitra","description":"May 4, 2045 CE for Berlin, Germany: Kṛṣṇa Tṛtīyā, sūryodaya 04:29, sūryāsta 19:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2045-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2045-05-04","sa":"https://sa.vidhyamitra.com/city/berlin/2045-05-04","hi":"https://hi.vidhyamitra.com/city/berlin/2045-05-04","x-default":"https://vidhyamitra.com/city/berlin/2045-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T08:21:51.015Z","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":"2026-09-06T08:21:51.015Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T08:21:51.015Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}