{"id":"vidhyamitra:city-day:berlin:2040-06-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2040-06-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-06-29","date_display":"June 29, 2040 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":2040,"month":6,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466334.770833,"kali_year":5142,"ahargana":1877869.2708,"sun":{"sidereal_longitude":73.0995,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":309.4083,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.3087,"elapsed_within_tithi_degrees":8.3087},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":309.4083,"elapsed_within_degrees":2.7416},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.5078},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2040,"month":6,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466334.770833,"ahargana":1877869.2708,"kali_year":5142,"ayanamsa_lahiri":24.4187,"grahas":{"sun":{"sidereal_longitude":73.516232,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":312.8062319999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-4.4971},"mars":{"sidereal_longitude":126.698732,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":67.74963200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":149.338532,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":80.862232,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":160.47943199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":41.4491,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":221.4491,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":"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":2040,"month":6,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466334.770833,"kali_year":5142,"ahargana":1877869.2708,"sun":{"sidereal_longitude":73.0995,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":309.4083,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.3087,"elapsed_within_tithi_degrees":8.3087},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":309.4083,"elapsed_within_degrees":2.7416},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.5078},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.497,"elongation":123.691},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.497,"opposition_distance":56.309}},"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":"03:46","sunsetLocal":"20:33","solarNoonLocal":"12:09","dayLengthHours":16.773087902180826,"dayLengthDisplay":"16 Hours 46 Mins 23 Secs","nightLengthDisplay":"7 Hours 13 Mins 37 Secs","moonriseLocal":"22:50","moonsetLocal":"09:24","rahuKala":{"name":"Rāhu Kāla","start":"10:04","end":"12:09","startHours":10.061154825044284,"endHours":12.157790812816886,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:21","end":"18:27","startHours":16.351062788362093,"endHours":18.447698776134693,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:52","end":"07:58","startHours":5.867882849499076,"endHours":7.9645188372716795,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:41","end":"08:15","startHours":7.684967372235333,"endHours":8.244070302308026,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:28","end":"04:55","startHours":4.470125524317341,"endHours":4.917407868375497,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:43","startHours":11.598687882744192,"endHours":12.71689374288958,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:32","end":"02:39","startHours":1.5348351414356962,"endHours":2.6530410015810846,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:22","end":"03:46","startHours":2.3734895365447377,"endHours":3.771246861726473,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.953305463180357,"endHours":16.071511323325744,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:21","end":"20:45","startHours":20.344334763907302,"endHours":20.7443347639073,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:33","end":"21:15","startHours":20.5443347639073,"endHours":21.24321342649817,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:18","end":"22:03","startHours":20.2943347639073,"endHours":22.0443347639073,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:43","startHours":23.59868788274419,"endHours":24.716893742889578,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"03:46","end":"05:52","startHours":3.771246861726473,"endHours":5.867882849499076,"quality":"neutral"},{"name":"Labha","start":"05:52","end":"07:58","startHours":5.867882849499076,"endHours":7.9645188372716795,"quality":"auspicious"},{"name":"Amṛta","start":"07:58","end":"10:04","startHours":7.9645188372716795,"endHours":10.061154825044284,"quality":"auspicious"},{"name":"Kāla","start":"10:04","end":"12:09","startHours":10.061154825044284,"endHours":12.157790812816886,"quality":"inauspicious"},{"name":"Śubha","start":"12:09","end":"14:15","startHours":12.157790812816886,"endHours":14.25442680058949,"quality":"auspicious"},{"name":"Roga","start":"14:15","end":"16:21","startHours":14.25442680058949,"endHours":16.351062788362093,"quality":"inauspicious"},{"name":"Udveg","start":"16:21","end":"18:27","startHours":16.351062788362093,"endHours":18.447698776134693,"quality":"inauspicious"},{"name":"Chala","start":"18:27","end":"20:33","startHours":18.447698776134693,"endHours":20.5443347639073,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"20:33","end":"21:27","startHours":20.5443347639073,"endHours":21.447698776134697,"quality":"inauspicious"},{"name":"Udveg","start":"21:27","end":"22:21","startHours":21.447698776134697,"endHours":22.351062788362093,"quality":"inauspicious"},{"name":"Chala","start":"22:21","end":"23:15","startHours":22.351062788362093,"endHours":23.254426800589492,"quality":"neutral"},{"name":"Labha","start":"23:15","end":"00:09","startHours":23.254426800589492,"endHours":24.157790812816888,"quality":"auspicious"},{"name":"Amṛta","start":"00:09","end":"01:04","startHours":24.157790812816888,"endHours":25.061154825044284,"quality":"auspicious"},{"name":"Kāla","start":"01:04","end":"01:58","startHours":25.061154825044284,"endHours":25.964518837271683,"quality":"inauspicious"},{"name":"Śubha","start":"01:58","end":"02:52","startHours":25.964518837271683,"endHours":26.86788284949908,"quality":"auspicious"},{"name":"Roga","start":"02:52","end":"03:46","startHours":26.86788284949908,"endHours":27.771246861726475,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"03:46","end":"04:46","startHours":3.771246861726473,"endHours":4.771246861726473,"planetary_lord":"Venus"},{"name":"Hora 2","start":"04:46","end":"05:46","startHours":4.771246861726473,"endHours":5.771246861726473,"planetary_lord":"Sun"},{"name":"Hora 3","start":"05:46","end":"06:46","startHours":5.771246861726473,"endHours":6.771246861726473,"planetary_lord":"Mars"},{"name":"Hora 4","start":"06:46","end":"07:46","startHours":6.771246861726473,"endHours":7.771246861726473,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"07:46","end":"08:46","startHours":7.771246861726473,"endHours":8.771246861726473,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"08:46","end":"09:46","startHours":8.771246861726473,"endHours":9.771246861726473,"planetary_lord":"Moon"},{"name":"Hora 7","start":"09:46","end":"10:46","startHours":9.771246861726473,"endHours":10.771246861726473,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"10:46","end":"11:46","startHours":10.771246861726473,"endHours":11.771246861726473,"planetary_lord":"Venus"},{"name":"Hora 9","start":"11:46","end":"12:46","startHours":11.771246861726473,"endHours":12.771246861726473,"planetary_lord":"Sun"},{"name":"Hora 10","start":"12:46","end":"13:46","startHours":12.771246861726473,"endHours":13.771246861726473,"planetary_lord":"Mars"},{"name":"Hora 11","start":"13:46","end":"14:46","startHours":13.771246861726473,"endHours":14.771246861726473,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"14:46","end":"15:46","startHours":14.771246861726473,"endHours":15.771246861726473,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"15:46","end":"16:46","startHours":15.771246861726473,"endHours":16.771246861726475,"planetary_lord":"Moon"},{"name":"Hora 14","start":"16:46","end":"17:46","startHours":16.771246861726475,"endHours":17.771246861726475,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"17:46","end":"18:46","startHours":17.771246861726475,"endHours":18.771246861726475,"planetary_lord":"Venus"},{"name":"Hora 16","start":"18:46","end":"19:46","startHours":18.771246861726475,"endHours":19.771246861726475,"planetary_lord":"Sun"},{"name":"Hora 17","start":"19:46","end":"20:46","startHours":19.771246861726475,"endHours":20.771246861726475,"planetary_lord":"Mars"},{"name":"Hora 18","start":"20:46","end":"21:46","startHours":20.771246861726475,"endHours":21.771246861726475,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"21:46","end":"22:46","startHours":21.771246861726475,"endHours":22.771246861726475,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"22:46","end":"23:46","startHours":22.771246861726475,"endHours":23.771246861726475,"planetary_lord":"Moon"},{"name":"Hora 21","start":"23:46","end":"00:46","startHours":23.771246861726475,"endHours":24.771246861726475,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"00:46","end":"01:46","startHours":24.771246861726475,"endHours":25.771246861726475,"planetary_lord":"Venus"},{"name":"Hora 23","start":"01:46","end":"02:46","startHours":25.771246861726475,"endHours":26.771246861726475,"planetary_lord":"Sun"},{"name":"Hora 24","start":"02:46","end":"03:46","startHours":26.771246861726475,"endHours":27.771246861726475,"planetary_lord":"Mars"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.19890631110509,"eotMinutes":-3.0874487690131183,"ayanamsa":24.4187}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Pañcamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 29, 2040 CE · Berlin, Germany · Vidhyamitra","description":"June 29, 2040 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 03:46, sūryāsta 20:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2040-06-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2040-06-29","sa":"https://sa.vidhyamitra.com/city/berlin/2040-06-29","hi":"https://hi.vidhyamitra.com/city/berlin/2040-06-29","x-default":"https://vidhyamitra.com/city/berlin/2040-06-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:43:35.033Z","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":"2026-05-15T14:43:35.033Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:43:35.033Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}