{"id":"vidhyamitra:city-day:berlin:2139-03-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2139-03-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-03-20","date_display":"March 20, 2139 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":2139,"month":3,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502391.770833,"kali_year":5240,"ahargana":1913926.2708,"sun":{"sidereal_longitude":333.114,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":204.1164,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.0024,"elapsed_within_tithi_degrees":3.0024},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":204.1164,"elapsed_within_degrees":4.1164},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.2304},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2139,"month":3,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502391.770833,"ahargana":1913926.2708,"kali_year":5240,"ayanamsa_lahiri":25.7977,"grahas":{"sun":{"sidereal_longitude":333.25869,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":200.78789000000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-4.4932},"mars":{"sidereal_longitude":336.26929,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":304.39489000000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":277.18439,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":301.77229,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":286.9514899999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":290.9757,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":110.9757,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2139,"month":3,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502391.770833,"kali_year":5240,"ahargana":1913926.2708,"sun":{"sidereal_longitude":333.114,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":204.1164,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.0024,"elapsed_within_tithi_degrees":3.0024},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":204.1164,"elapsed_within_degrees":4.1164},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.2304},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.493,"elongation":128.998},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.493,"opposition_distance":51.002}},"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":"06:11","sunsetLocal":"18:18","solarNoonLocal":"12:15","dayLengthHours":12.117272333303031,"dayLengthDisplay":"12 Hours 07 Mins 02 Secs","nightLengthDisplay":"11 Hours 52 Mins 58 Secs","moonriseLocal":"22:53","moonsetLocal":"07:56","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:15","startHours":10.7275573793817,"endHours":12.242216421044578,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:16","end":"16:47","startHours":15.271534504370337,"endHours":16.786193546033214,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:42","end":"09:13","startHours":7.698239296055942,"endHours":9.212898337718821,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:25","startHours":9.010943798830438,"endHours":9.414852876607204,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.688466601614023,"endHours":7.0115938638354365,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.838307343267813,"endHours":12.646125498821347,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:23","startHours":4.567943943285992,"endHours":5.375762098839528,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:11","startHours":5.173807559951144,"endHours":6.183580254393063,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:04","startHours":14.261761809928416,"endHours":15.069579965481951,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.100852587696096,"endHours":18.500852587696095,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:48","startHours":18.300852587696095,"endHours":18.805738934917056,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.050852587696095,"endHours":19.800852587696095,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.838307343267815,"endHours":24.64612549882135,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:11","end":"07:42","startHours":6.183580254393063,"endHours":7.698239296055942,"quality":"neutral"},{"name":"Labha","start":"07:42","end":"09:13","startHours":7.698239296055942,"endHours":9.212898337718821,"quality":"auspicious"},{"name":"Amṛta","start":"09:13","end":"10:44","startHours":9.212898337718821,"endHours":10.7275573793817,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:15","startHours":10.7275573793817,"endHours":12.242216421044578,"quality":"inauspicious"},{"name":"Śubha","start":"12:15","end":"13:45","startHours":12.242216421044578,"endHours":13.756875462707459,"quality":"auspicious"},{"name":"Roga","start":"13:45","end":"15:16","startHours":13.756875462707459,"endHours":15.271534504370337,"quality":"inauspicious"},{"name":"Udveg","start":"15:16","end":"16:47","startHours":15.271534504370337,"endHours":16.786193546033214,"quality":"inauspicious"},{"name":"Chala","start":"16:47","end":"18:18","startHours":16.786193546033214,"endHours":18.300852587696095,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:18","end":"19:47","startHours":18.300852587696095,"endHours":19.786193546033218,"quality":"inauspicious"},{"name":"Udveg","start":"19:47","end":"21:16","startHours":19.786193546033218,"endHours":21.271534504370337,"quality":"inauspicious"},{"name":"Chala","start":"21:16","end":"22:45","startHours":21.271534504370337,"endHours":22.75687546270746,"quality":"neutral"},{"name":"Labha","start":"22:45","end":"00:15","startHours":22.75687546270746,"endHours":24.24221642104458,"quality":"auspicious"},{"name":"Amṛta","start":"00:15","end":"01:44","startHours":24.24221642104458,"endHours":25.7275573793817,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:13","startHours":25.7275573793817,"endHours":27.212898337718823,"quality":"inauspicious"},{"name":"Śubha","start":"03:13","end":"04:42","startHours":27.212898337718823,"endHours":28.698239296055945,"quality":"auspicious"},{"name":"Roga","start":"04:42","end":"06:11","startHours":28.698239296055945,"endHours":30.183580254393064,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.183580254393063,"endHours":7.183580254393063,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.183580254393063,"endHours":8.183580254393064,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.183580254393064,"endHours":9.183580254393064,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.183580254393064,"endHours":10.183580254393064,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.183580254393064,"endHours":11.183580254393064,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.183580254393064,"endHours":12.183580254393064,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.183580254393064,"endHours":13.183580254393064,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.183580254393064,"endHours":14.183580254393064,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.183580254393064,"endHours":15.183580254393064,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.183580254393064,"endHours":16.183580254393064,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.183580254393064,"endHours":17.183580254393064,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.183580254393064,"endHours":18.183580254393064,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.183580254393064,"endHours":19.183580254393064,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.183580254393064,"endHours":20.183580254393064,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.183580254393064,"endHours":21.183580254393064,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.183580254393064,"endHours":22.183580254393064,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.183580254393064,"endHours":23.183580254393064,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.183580254393064,"endHours":24.183580254393064,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.183580254393064,"endHours":25.183580254393064,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.183580254393064,"endHours":26.183580254393064,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.183580254393064,"endHours":27.183580254393064,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.183580254393064,"endHours":28.183580254393064,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.183580254393064,"endHours":29.183580254393064,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.183580254393064,"endHours":30.183580254393064,"planetary_lord":"Mars"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.3752900457109833,"eotMinutes":-8.152985262674756,"ayanamsa":25.7977}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Pañcamī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[],"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 March 20, 2139 CE · Berlin, Germany · Vidhyamitra","description":"March 20, 2139 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 06:11, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2139-03-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2139-03-20","sa":"https://sa.vidhyamitra.com/city/berlin/2139-03-20","hi":"https://hi.vidhyamitra.com/city/berlin/2139-03-20","x-default":"https://vidhyamitra.com/city/berlin/2139-03-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T02:55:15.189Z","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":"2026-05-30T02:55:15.189Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T02:55:15.189Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}