{"id":"vidhyamitra:city-day:berlin:2041-06-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2041-06-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-06-01","date_display":"June 1, 2041 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":2041,"month":6,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466671.770833,"kali_year":5143,"ahargana":1878206.2708,"sun":{"sidereal_longitude":46.2965,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":73.4742,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.1777,"elapsed_within_tithi_degrees":3.1777},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.4742,"elapsed_within_degrees":6.8075},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.7707},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2041,"month":6,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466671.770833,"ahargana":1878206.2708,"kali_year":5143,"ayanamsa_lahiri":24.4315,"grahas":{"sun":{"sidereal_longitude":46.51885600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":71.30085600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":3.4397},"mars":{"sidereal_longitude":8.954955999999981,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":52.68555600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":177.56225599999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":0.11035600000002432,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":172.76785599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":23.5932,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":203.5932,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":6,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466671.770833,"kali_year":5143,"ahargana":1878206.2708,"sun":{"sidereal_longitude":46.2965,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":73.4742,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.1777,"elapsed_within_tithi_degrees":3.1777},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.4742,"elapsed_within_degrees":6.8075},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.7707},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.44,"elongation":27.178},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.44,"opposition_distance":152.822}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":-0.457,"opposition_distance":0.75}]},"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":"03:49","sunsetLocal":"20:19","solarNoonLocal":"12:04","dayLengthHours":16.493876308514494,"dayLengthDisplay":"16 Hours 29 Mins 38 Secs","nightLengthDisplay":"7 Hours 30 Mins 22 Secs","moonriseLocal":"05:21","moonsetLocal":"22:05","rahuKala":{"name":"Rāhu Kāla","start":"07:57","end":"10:00","startHours":7.943609788856408,"endHours":10.005344327420719,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"16:11","startHours":14.128813404549344,"endHours":16.190547943113657,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"03:49","end":"05:53","startHours":3.8201407117277846,"endHours":5.881875250292096,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:40","end":"08:13","startHours":7.668711850381166,"endHours":8.21850772733165,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:30","end":"04:57","startHours":4.507385557915889,"endHours":4.947222259476275,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:37","startHours":11.517282989034548,"endHours":12.616874742935515,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:37","end":"02:43","startHours":1.620957203925852,"endHours":2.7205489578268183,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:27","end":"03:49","startHours":2.4456510193515766,"endHours":3.8201407117277846,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:55","startHours":14.816058250737449,"endHours":15.915650004638415,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:07","end":"20:31","startHours":20.11401702024228,"endHours":20.514017020242278,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:19","end":"21:00","startHours":20.31401702024228,"endHours":21.001261866430383,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:04","end":"21:49","startHours":20.06401702024228,"endHours":21.81401702024228,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:37","startHours":23.51728298903455,"endHours":24.616874742935515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"03:49","end":"05:53","startHours":3.8201407117277846,"endHours":5.881875250292096,"quality":"inauspicious"},{"name":"Śubha","start":"05:53","end":"07:57","startHours":5.881875250292096,"endHours":7.943609788856408,"quality":"auspicious"},{"name":"Roga","start":"07:57","end":"10:00","startHours":7.943609788856408,"endHours":10.005344327420719,"quality":"inauspicious"},{"name":"Udveg","start":"10:00","end":"12:04","startHours":10.005344327420719,"endHours":12.067078865985032,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"14:08","startHours":12.067078865985032,"endHours":14.128813404549344,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"16:11","startHours":14.128813404549344,"endHours":16.190547943113657,"quality":"auspicious"},{"name":"Amṛta","start":"16:11","end":"18:15","startHours":16.190547943113657,"endHours":18.252282481677966,"quality":"auspicious"},{"name":"Kāla","start":"18:15","end":"20:19","startHours":18.252282481677966,"endHours":20.31401702024228,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"20:19","end":"21:15","startHours":20.31401702024228,"endHours":21.252282481677966,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:11","startHours":21.252282481677966,"endHours":22.190547943113657,"quality":"auspicious"},{"name":"Kāla","start":"22:11","end":"23:08","startHours":22.190547943113657,"endHours":23.128813404549344,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:04","startHours":23.128813404549344,"endHours":24.06707886598503,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:00","startHours":24.06707886598503,"endHours":25.00534432742072,"quality":"inauspicious"},{"name":"Udveg","start":"01:00","end":"01:57","startHours":25.00534432742072,"endHours":25.943609788856406,"quality":"inauspicious"},{"name":"Chala","start":"01:57","end":"02:53","startHours":25.943609788856406,"endHours":26.881875250292097,"quality":"neutral"},{"name":"Labha","start":"02:53","end":"03:49","startHours":26.881875250292097,"endHours":27.820140711727785,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:49","end":"04:49","startHours":3.8201407117277846,"endHours":4.820140711727785,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"04:49","end":"05:49","startHours":4.820140711727785,"endHours":5.820140711727785,"planetary_lord":"Moon"},{"name":"Hora 3","start":"05:49","end":"06:49","startHours":5.820140711727785,"endHours":6.820140711727785,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"06:49","end":"07:49","startHours":6.820140711727785,"endHours":7.820140711727785,"planetary_lord":"Venus"},{"name":"Hora 5","start":"07:49","end":"08:49","startHours":7.820140711727785,"endHours":8.820140711727785,"planetary_lord":"Sun"},{"name":"Hora 6","start":"08:49","end":"09:49","startHours":8.820140711727785,"endHours":9.820140711727785,"planetary_lord":"Mars"},{"name":"Hora 7","start":"09:49","end":"10:49","startHours":9.820140711727785,"endHours":10.820140711727785,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"10:49","end":"11:49","startHours":10.820140711727785,"endHours":11.820140711727785,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"11:49","end":"12:49","startHours":11.820140711727785,"endHours":12.820140711727785,"planetary_lord":"Moon"},{"name":"Hora 10","start":"12:49","end":"13:49","startHours":12.820140711727785,"endHours":13.820140711727785,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"13:49","end":"14:49","startHours":13.820140711727785,"endHours":14.820140711727785,"planetary_lord":"Venus"},{"name":"Hora 12","start":"14:49","end":"15:49","startHours":14.820140711727785,"endHours":15.820140711727785,"planetary_lord":"Sun"},{"name":"Hora 13","start":"15:49","end":"16:49","startHours":15.820140711727785,"endHours":16.820140711727785,"planetary_lord":"Mars"},{"name":"Hora 14","start":"16:49","end":"17:49","startHours":16.820140711727785,"endHours":17.820140711727785,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"17:49","end":"18:49","startHours":17.820140711727785,"endHours":18.820140711727785,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"18:49","end":"19:49","startHours":18.820140711727785,"endHours":19.820140711727785,"planetary_lord":"Moon"},{"name":"Hora 17","start":"19:49","end":"20:49","startHours":19.820140711727785,"endHours":20.820140711727785,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"20:49","end":"21:49","startHours":20.820140711727785,"endHours":21.820140711727785,"planetary_lord":"Venus"},{"name":"Hora 19","start":"21:49","end":"22:49","startHours":21.820140711727785,"endHours":22.820140711727785,"planetary_lord":"Sun"},{"name":"Hora 20","start":"22:49","end":"23:49","startHours":22.820140711727785,"endHours":23.820140711727785,"planetary_lord":"Mars"},{"name":"Hora 21","start":"23:49","end":"00:49","startHours":23.820140711727785,"endHours":24.820140711727785,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"00:49","end":"01:49","startHours":24.820140711727785,"endHours":25.820140711727785,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"01:49","end":"02:49","startHours":25.820140711727785,"endHours":26.820140711727785,"planetary_lord":"Moon"},{"name":"Hora 24","start":"02:49","end":"03:49","startHours":26.820140711727785,"endHours":27.820140711727785,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":22.08310839556799,"eotMinutes":2.3552680408980873,"ayanamsa":24.4315}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Tṛtīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 June 1, 2041 CE · Berlin, Germany · Vidhyamitra","description":"June 1, 2041 CE for Berlin, Germany: Śukla Tṛtīyā, sūryodaya 03:49, sūryāsta 20:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2041-06-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2041-06-01","sa":"https://sa.vidhyamitra.com/city/berlin/2041-06-01","hi":"https://hi.vidhyamitra.com/city/berlin/2041-06-01","x-default":"https://vidhyamitra.com/city/berlin/2041-06-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:26:50.380Z","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":"2026-05-15T16:26:50.380Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:26:50.380Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}