{"id":"vidhyamitra:city-day:berlin:2040-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2040-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-08-01","date_display":"August 1, 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":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466367.770833,"kali_year":5142,"ahargana":1877902.2708,"sun":{"sidereal_longitude":104.3735,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":25.0395,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.666,"elapsed_within_tithi_degrees":4.666},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.0395,"elapsed_within_degrees":11.7061},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.413},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466367.770833,"ahargana":1877902.2708,"kali_year":5142,"ayanamsa_lahiri":24.4199,"grahas":{"sun":{"sidereal_longitude":105.00717199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":28.306671999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-1.1379},"mars":{"sidereal_longitude":146.595772,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":91.33347200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":154.147872,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":121.39037200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":162.48477200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":39.7006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.7006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466367.770833,"kali_year":5142,"ahargana":1877902.2708,"sun":{"sidereal_longitude":104.3735,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":25.0395,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.666,"elapsed_within_tithi_degrees":4.666},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.0395,"elapsed_within_degrees":11.7061},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.413},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.138,"elongation":79.334},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.138,"opposition_distance":100.666}},"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":"04:26","sunsetLocal":"19:58","solarNoonLocal":"12:12","dayLengthHours":15.532816878469403,"dayLengthDisplay":"15 Hours 31 Mins 58 Secs","nightLengthDisplay":"8 Hours 28 Mins 02 Secs","moonriseLocal":"23:18","moonsetLocal":"14:53","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"14:09","startHours":12.206627831111838,"endHours":14.148229940920514,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:23","end":"08:19","startHours":6.381821501685813,"endHours":8.323423611494489,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:16","end":"12:12","startHours":10.265025721303164,"endHours":12.206627831111838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:04","end":"08:35","startHours":8.064543330186666,"endHours":8.582303892802312,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:05","end":"05:30","startHours":5.087420095146696,"endHours":5.501628545239213,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:43","startHours":11.68886726849619,"endHours":12.724388393727486,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:22","end":"03:24","startHours":2.369177141414551,"endHours":3.4046982666458443,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:09","end":"04:26","startHours":3.145817985338021,"endHours":4.440219391877138,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:50","startHours":14.795430644190072,"endHours":15.830951769421365,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:46","end":"20:10","startHours":19.77303627034654,"endHours":20.17303627034654,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:58","end":"20:37","startHours":19.97303627034654,"endHours":20.620236973616098,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:43","end":"21:28","startHours":19.72303627034654,"endHours":21.47303627034654,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:43","startHours":23.688867268496193,"endHours":24.724388393727484,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:26","end":"06:23","startHours":4.440219391877138,"endHours":6.381821501685813,"quality":"auspicious"},{"name":"Amṛta","start":"06:23","end":"08:19","startHours":6.381821501685813,"endHours":8.323423611494489,"quality":"auspicious"},{"name":"Kāla","start":"08:19","end":"10:16","startHours":8.323423611494489,"endHours":10.265025721303164,"quality":"inauspicious"},{"name":"Śubha","start":"10:16","end":"12:12","startHours":10.265025721303164,"endHours":12.206627831111838,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"14:09","startHours":12.206627831111838,"endHours":14.148229940920514,"quality":"inauspicious"},{"name":"Udveg","start":"14:09","end":"16:05","startHours":14.148229940920514,"endHours":16.08983205072919,"quality":"inauspicious"},{"name":"Chala","start":"16:05","end":"18:02","startHours":16.08983205072919,"endHours":18.031434160537863,"quality":"neutral"},{"name":"Labha","start":"18:02","end":"19:58","startHours":18.031434160537863,"endHours":19.97303627034654,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:58","end":"21:02","startHours":19.97303627034654,"endHours":21.031434160537867,"quality":"inauspicious"},{"name":"Chala","start":"21:02","end":"22:05","startHours":21.031434160537867,"endHours":22.08983205072919,"quality":"neutral"},{"name":"Labha","start":"22:05","end":"23:09","startHours":22.08983205072919,"endHours":23.148229940920515,"quality":"auspicious"},{"name":"Amṛta","start":"23:09","end":"00:12","startHours":23.148229940920515,"endHours":24.206627831111838,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:16","startHours":24.206627831111838,"endHours":25.265025721303164,"quality":"inauspicious"},{"name":"Śubha","start":"01:16","end":"02:19","startHours":25.265025721303164,"endHours":26.32342361149449,"quality":"auspicious"},{"name":"Roga","start":"02:19","end":"03:23","startHours":26.32342361149449,"endHours":27.381821501685813,"quality":"inauspicious"},{"name":"Udveg","start":"03:23","end":"04:26","startHours":27.381821501685813,"endHours":28.440219391877136,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:26","end":"05:26","startHours":4.440219391877138,"endHours":5.440219391877138,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:26","end":"06:26","startHours":5.440219391877138,"endHours":6.440219391877138,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:26","end":"07:26","startHours":6.440219391877138,"endHours":7.440219391877138,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:26","end":"08:26","startHours":7.440219391877138,"endHours":8.440219391877138,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:26","end":"09:26","startHours":8.440219391877138,"endHours":9.440219391877138,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:26","end":"10:26","startHours":9.440219391877138,"endHours":10.440219391877138,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:26","end":"11:26","startHours":10.440219391877138,"endHours":11.440219391877138,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:26","end":"12:26","startHours":11.440219391877138,"endHours":12.440219391877138,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:26","end":"13:26","startHours":12.440219391877138,"endHours":13.440219391877138,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:26","end":"14:26","startHours":13.440219391877138,"endHours":14.440219391877138,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:26","end":"15:26","startHours":14.440219391877138,"endHours":15.440219391877138,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:26","end":"16:26","startHours":15.440219391877138,"endHours":16.440219391877136,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:26","end":"17:26","startHours":16.440219391877136,"endHours":17.440219391877136,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:26","end":"18:26","startHours":17.440219391877136,"endHours":18.440219391877136,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:26","end":"19:26","startHours":18.440219391877136,"endHours":19.440219391877136,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:26","end":"20:26","startHours":19.440219391877136,"endHours":20.440219391877136,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:26","end":"21:26","startHours":20.440219391877136,"endHours":21.440219391877136,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:26","end":"22:26","startHours":21.440219391877136,"endHours":22.440219391877136,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:26","end":"23:26","startHours":22.440219391877136,"endHours":23.440219391877136,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:26","end":"00:26","startHours":23.440219391877136,"endHours":24.440219391877136,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:26","end":"01:26","startHours":24.440219391877136,"endHours":25.440219391877136,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:26","end":"02:26","startHours":25.440219391877136,"endHours":26.440219391877136,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:26","end":"03:26","startHours":26.440219391877136,"endHours":27.440219391877136,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:26","end":"04:26","startHours":27.440219391877136,"endHours":28.440219391877136,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":17.89188931852474,"eotMinutes":-6.017669866710306,"ayanamsa":24.4199}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 August 1, 2040 CE · Berlin, Germany · Vidhyamitra","description":"August 1, 2040 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 04:26, sūryāsta 19:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2040-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2040-08-01","sa":"https://sa.vidhyamitra.com/city/berlin/2040-08-01","hi":"https://hi.vidhyamitra.com/city/berlin/2040-08-01","x-default":"https://vidhyamitra.com/city/berlin/2040-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:07:38.450Z","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":"2026-05-31T22:07:38.450Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:07:38.450Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}