{"id":"vidhyamitra:city-day:berlin:2020-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2020-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-08-13","date_display":"August 13, 2020 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":2020,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459074.770833,"kali_year":5122,"ahargana":1870609.2708,"sun":{"sidereal_longitude":115.9724,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":42.7337,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.7613,"elapsed_within_tithi_degrees":10.7613},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.7337,"elapsed_within_degrees":2.7337},"yoga":{"number":12,"name":"Dhruva","sum_longitude":158.7062},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2020,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459074.770833,"ahargana":1870609.2708,"kali_year":5122,"ayanamsa_lahiri":24.141,"grahas":{"sun":{"sidereal_longitude":116.625518,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":41.589718000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-1.7845},"mars":{"sidereal_longitude":358.477518,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":111.42731800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":264.74451799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":70.53871800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":272.848618,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":66.1188,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":246.1188,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":"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":2020,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459074.770833,"kali_year":5122,"ahargana":1870609.2708,"sun":{"sidereal_longitude":115.9724,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":42.7337,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.7613,"elapsed_within_tithi_degrees":10.7613},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":42.7337,"elapsed_within_degrees":2.7337},"yoga":{"number":12,"name":"Dhruva","sum_longitude":158.7062},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.785,"elongation":73.239},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.785,"opposition_distance":106.761}},"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":"04:46","sunsetLocal":"19:36","solarNoonLocal":"12:11","dayLengthHours":14.843364693894667,"dayLengthDisplay":"14 Hours 50 Mins 36 Secs","nightLengthDisplay":"9 Hours 09 Mins 24 Secs","moonriseLocal":"23:04","moonsetLocal":"15:18","rahuKala":{"name":"Rāhu Kāla","start":"14:02","end":"15:54","startHours":14.037779265707092,"endHours":15.893199852443924,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:46","end":"06:37","startHours":4.760676332022925,"endHours":6.616096918759759,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:28","end":"10:20","startHours":8.471517505496593,"endHours":10.326938092233425,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:43","startHours":8.22412809393168,"endHours":8.718906917061503,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:23","end":"05:46","startHours":5.379149860935202,"endHours":5.77497291943906,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:41","startHours":11.687579855840436,"endHours":12.67713750210008,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:47","end":"03:46","startHours":2.781561039503636,"endHours":3.7711186857632804,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:31","end":"04:46","startHours":3.5237292741983692,"endHours":4.760676332022925,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:39","startHours":14.65625279461937,"endHours":15.645810440879014,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:24","end":"19:48","startHours":19.404041025917593,"endHours":19.80404102591759,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:36","end":"20:13","startHours":19.604041025917592,"endHours":20.22251455482987,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:21","end":"21:06","startHours":19.354041025917592,"endHours":21.104041025917592,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:41","startHours":23.68757985584044,"endHours":24.67713750210008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:46","end":"06:37","startHours":4.760676332022925,"endHours":6.616096918759759,"quality":"auspicious"},{"name":"Roga","start":"06:37","end":"08:28","startHours":6.616096918759759,"endHours":8.471517505496593,"quality":"inauspicious"},{"name":"Udveg","start":"08:28","end":"10:20","startHours":8.471517505496593,"endHours":10.326938092233425,"quality":"inauspicious"},{"name":"Chala","start":"10:20","end":"12:11","startHours":10.326938092233425,"endHours":12.182358678970258,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"14:02","startHours":12.182358678970258,"endHours":14.037779265707092,"quality":"auspicious"},{"name":"Amṛta","start":"14:02","end":"15:54","startHours":14.037779265707092,"endHours":15.893199852443924,"quality":"auspicious"},{"name":"Kāla","start":"15:54","end":"17:45","startHours":15.893199852443924,"endHours":17.74862043918076,"quality":"inauspicious"},{"name":"Śubha","start":"17:45","end":"19:36","startHours":17.74862043918076,"endHours":19.604041025917592,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:36","end":"20:45","startHours":19.604041025917592,"endHours":20.74862043918076,"quality":"auspicious"},{"name":"Kāla","start":"20:45","end":"21:54","startHours":20.74862043918076,"endHours":21.893199852443924,"quality":"inauspicious"},{"name":"Śubha","start":"21:54","end":"23:02","startHours":21.893199852443924,"endHours":23.03777926570709,"quality":"auspicious"},{"name":"Roga","start":"23:02","end":"00:11","startHours":23.03777926570709,"endHours":24.18235867897026,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:20","startHours":24.18235867897026,"endHours":25.326938092233426,"quality":"inauspicious"},{"name":"Chala","start":"01:20","end":"02:28","startHours":25.326938092233426,"endHours":26.471517505496593,"quality":"neutral"},{"name":"Labha","start":"02:28","end":"03:37","startHours":26.471517505496593,"endHours":27.61609691875976,"quality":"auspicious"},{"name":"Amṛta","start":"03:37","end":"04:46","startHours":27.61609691875976,"endHours":28.760676332022925,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:46","end":"05:46","startHours":4.760676332022925,"endHours":5.760676332022925,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:46","end":"06:46","startHours":5.760676332022925,"endHours":6.760676332022925,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:46","end":"07:46","startHours":6.760676332022925,"endHours":7.760676332022925,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:46","end":"08:46","startHours":7.760676332022925,"endHours":8.760676332022925,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:46","end":"09:46","startHours":8.760676332022925,"endHours":9.760676332022925,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:46","end":"10:46","startHours":9.760676332022925,"endHours":10.760676332022925,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:46","end":"11:46","startHours":10.760676332022925,"endHours":11.760676332022925,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:46","end":"12:46","startHours":11.760676332022925,"endHours":12.760676332022925,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:46","end":"13:46","startHours":12.760676332022925,"endHours":13.760676332022925,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:46","end":"14:46","startHours":13.760676332022925,"endHours":14.760676332022925,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:46","end":"15:46","startHours":14.760676332022925,"endHours":15.760676332022925,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:46","end":"16:46","startHours":15.760676332022925,"endHours":16.760676332022925,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:46","end":"17:46","startHours":16.760676332022925,"endHours":17.760676332022925,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:46","end":"18:46","startHours":17.760676332022925,"endHours":18.760676332022925,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:46","end":"19:46","startHours":18.760676332022925,"endHours":19.760676332022925,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:46","end":"20:46","startHours":19.760676332022925,"endHours":20.760676332022925,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:46","end":"21:46","startHours":20.760676332022925,"endHours":21.760676332022925,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:46","end":"22:46","startHours":21.760676332022925,"endHours":22.760676332022925,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:46","end":"23:46","startHours":22.760676332022925,"endHours":23.760676332022925,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:46","end":"00:46","startHours":23.760676332022925,"endHours":24.760676332022925,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:46","end":"01:46","startHours":24.760676332022925,"endHours":25.760676332022925,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:46","end":"02:46","startHours":25.760676332022925,"endHours":26.760676332022925,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:46","end":"03:46","startHours":26.760676332022925,"endHours":27.760676332022925,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:46","end":"04:46","startHours":27.760676332022925,"endHours":28.760676332022925,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","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":14.569763792696358,"eotMinutes":-4.561520738215509,"ayanamsa":24.141}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","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":"Bhādrapada Kṛṣṇa Navamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"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 August 13, 2020 CE · Berlin, Germany · Vidhyamitra","description":"August 13, 2020 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 04:46, sūryāsta 19:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2020-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2020-08-13","sa":"https://sa.vidhyamitra.com/city/berlin/2020-08-13","hi":"https://hi.vidhyamitra.com/city/berlin/2020-08-13","x-default":"https://vidhyamitra.com/city/berlin/2020-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T17:19:44.922Z","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":"2026-09-11T17:19:44.922Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T17:19:44.922Z","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"}}}