{"id":"vidhyamitra:city-day:berlin:2091-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2091-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-07-16","date_display":"July 16, 2091 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":2091,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484978.770833,"kali_year":5193,"ahargana":1896513.2708,"sun":{"sidereal_longitude":88.0596,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":80.3617,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.3022,"elapsed_within_tithi_degrees":4.3022},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.3617,"elapsed_within_degrees":0.3617},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.4213},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2091,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484978.770833,"ahargana":1896513.2708,"kali_year":5193,"ayanamsa_lahiri":25.1317,"grahas":{"sun":{"sidereal_longitude":88.70819399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":81.85769400000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":-3.6038},"mars":{"sidereal_longitude":161.63579400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.291494,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":260.651294,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":84.94309399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":66.509994,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":133.6003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":313.6003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484978.770833,"kali_year":5193,"ahargana":1896513.2708,"sun":{"sidereal_longitude":88.0596,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":80.3617,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.3022,"elapsed_within_tithi_degrees":4.3022},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.3617,"elapsed_within_degrees":0.3617},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.4213},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.604,"elongation":7.698},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.604,"opposition_distance":172.302}},"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":"04:03","sunsetLocal":"20:21","solarNoonLocal":"12:12","dayLengthHours":16.31256224742102,"dayLengthDisplay":"16 Hours 18 Mins 45 Secs","nightLengthDisplay":"7 Hours 41 Mins 15 Secs","moonriseLocal":"03:30","moonsetLocal":"19:59","rahuKala":{"name":"Rāhu Kāla","start":"06:05","end":"08:07","startHours":6.083834834155067,"endHours":8.122905115082695,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:10","end":"12:12","startHours":10.161975396010323,"endHours":12.20104567693795,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:14","end":"16:17","startHours":14.240115957865578,"endHours":16.279186238793205,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:51","end":"08:24","startHours":7.851029077625677,"endHours":8.39478115253971,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:43","end":"05:10","startHours":4.724454646869982,"endHours":5.159456306801209,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.657293602023916,"endHours":12.744797751851983,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:52","end":"02:57","startHours":1.8697562535713037,"endHours":2.9572604033993715,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:41","end":"04:03","startHours":2.6853843659423546,"endHours":4.04476455322744,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"16:00","startHours":14.91980605150812,"endHours":16.00731020133619,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:09","end":"20:33","startHours":20.15732680064846,"endHours":20.557326800648458,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:21","end":"21:02","startHours":20.35732680064846,"endHours":21.037016894291,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:06","end":"21:51","startHours":20.10732680064846,"endHours":21.85732680064846,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.657293602023916,"endHours":24.744797751851987,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:03","end":"06:05","startHours":4.04476455322744,"endHours":6.083834834155067,"quality":"auspicious"},{"name":"Kāla","start":"06:05","end":"08:07","startHours":6.083834834155067,"endHours":8.122905115082695,"quality":"inauspicious"},{"name":"Śubha","start":"08:07","end":"10:10","startHours":8.122905115082695,"endHours":10.161975396010323,"quality":"auspicious"},{"name":"Roga","start":"10:10","end":"12:12","startHours":10.161975396010323,"endHours":12.20104567693795,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"14:14","startHours":12.20104567693795,"endHours":14.240115957865578,"quality":"inauspicious"},{"name":"Chala","start":"14:14","end":"16:17","startHours":14.240115957865578,"endHours":16.279186238793205,"quality":"neutral"},{"name":"Labha","start":"16:17","end":"18:19","startHours":16.279186238793205,"endHours":18.318256519720833,"quality":"auspicious"},{"name":"Amṛta","start":"18:19","end":"20:21","startHours":18.318256519720833,"endHours":20.35732680064846,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"20:21","end":"21:19","startHours":20.35732680064846,"endHours":21.31825651972083,"quality":"neutral"},{"name":"Labha","start":"21:19","end":"22:17","startHours":21.31825651972083,"endHours":22.2791862387932,"quality":"auspicious"},{"name":"Amṛta","start":"22:17","end":"23:14","startHours":22.2791862387932,"endHours":23.240115957865576,"quality":"auspicious"},{"name":"Kāla","start":"23:14","end":"00:12","startHours":23.240115957865576,"endHours":24.201045676937948,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:10","startHours":24.201045676937948,"endHours":25.16197539601032,"quality":"auspicious"},{"name":"Roga","start":"01:10","end":"02:07","startHours":25.16197539601032,"endHours":26.122905115082695,"quality":"inauspicious"},{"name":"Udveg","start":"02:07","end":"03:05","startHours":26.122905115082695,"endHours":27.083834834155066,"quality":"inauspicious"},{"name":"Chala","start":"03:05","end":"04:03","startHours":27.083834834155066,"endHours":28.044764553227438,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:03","end":"05:03","startHours":4.04476455322744,"endHours":5.04476455322744,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:03","end":"06:03","startHours":5.04476455322744,"endHours":6.04476455322744,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:03","end":"07:03","startHours":6.04476455322744,"endHours":7.04476455322744,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:03","end":"08:03","startHours":7.04476455322744,"endHours":8.04476455322744,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:03","end":"09:03","startHours":8.04476455322744,"endHours":9.04476455322744,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:03","end":"10:03","startHours":9.04476455322744,"endHours":10.04476455322744,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:03","end":"11:03","startHours":10.04476455322744,"endHours":11.04476455322744,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:03","end":"12:03","startHours":11.04476455322744,"endHours":12.04476455322744,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:03","end":"13:03","startHours":12.04476455322744,"endHours":13.04476455322744,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:03","end":"14:03","startHours":13.04476455322744,"endHours":14.04476455322744,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:03","end":"15:03","startHours":14.04476455322744,"endHours":15.04476455322744,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:03","end":"16:03","startHours":15.04476455322744,"endHours":16.044764553227438,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:03","end":"17:03","startHours":16.044764553227438,"endHours":17.044764553227438,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:03","end":"18:03","startHours":17.044764553227438,"endHours":18.044764553227438,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:03","end":"19:03","startHours":18.044764553227438,"endHours":19.044764553227438,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:03","end":"20:03","startHours":19.044764553227438,"endHours":20.044764553227438,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:03","end":"21:03","startHours":20.044764553227438,"endHours":21.044764553227438,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:03","end":"22:03","startHours":21.044764553227438,"endHours":22.044764553227438,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:03","end":"23:03","startHours":22.044764553227438,"endHours":23.044764553227438,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:03","end":"00:03","startHours":23.044764553227438,"endHours":24.044764553227438,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:03","end":"01:03","startHours":24.044764553227438,"endHours":25.044764553227438,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:03","end":"02:03","startHours":25.044764553227438,"endHours":26.044764553227438,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:03","end":"03:03","startHours":26.044764553227438,"endHours":27.044764553227438,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:03","end":"04:03","startHours":27.044764553227438,"endHours":28.044764553227438,"planetary_lord":"Venus"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.333586268792743,"eotMinutes":-5.682740616276977,"ayanamsa":25.1317}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha (Adhika) Kṛṣṇa Amāvasyā · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 July 16, 2091 CE · Berlin, Germany · Vidhyamitra","description":"July 16, 2091 CE for Berlin, Germany: Kṛṣṇa Amāvasyā, sūryodaya 04:03, sūryāsta 20:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2091-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2091-07-16","sa":"https://sa.vidhyamitra.com/city/berlin/2091-07-16","hi":"https://hi.vidhyamitra.com/city/berlin/2091-07-16","x-default":"https://vidhyamitra.com/city/berlin/2091-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:23:20.200Z","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":"2026-05-31T21:23:20.201Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:23:20.201Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}