{"id":"vidhyamitra:city-day:berlin:2159-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-07-30","date_display":"July 30, 2159 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":2159,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509828.770833,"kali_year":5261,"ahargana":1921363.2708,"sun":{"sidereal_longitude":99.821,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":276.5844,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.7634,"elapsed_within_tithi_degrees":8.7634},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":276.5844,"elapsed_within_degrees":9.9177},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.4053},"karana":{"half_tithi_index":29,"name":"Bava"},"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":2159,"month":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509828.770833,"ahargana":1921363.2708,"kali_year":5261,"ayanamsa_lahiri":26.0821,"grahas":{"sun":{"sidereal_longitude":100.71444200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":276.82134199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":1.5123},"mars":{"sidereal_longitude":234.9936419999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":91.45214199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":161.34754199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":67.17504200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.16514200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":256.9277,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":76.9277,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"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":2159,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509828.770833,"kali_year":5261,"ahargana":1921363.2708,"sun":{"sidereal_longitude":99.821,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":276.5844,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.7634,"elapsed_within_tithi_degrees":8.7634},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":276.5844,"elapsed_within_degrees":9.9177},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.4053},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.512,"elongation":176.763},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.512,"opposition_distance":3.237}},"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":"04:22","sunsetLocal":"20:03","solarNoonLocal":"12:12","dayLengthHours":15.68080031966289,"dayLengthDisplay":"15 Hours 40 Mins 51 Secs","nightLengthDisplay":"8 Hours 19 Mins 09 Secs","moonriseLocal":"19:42","moonsetLocal":"04:11","rahuKala":{"name":"Rāhu Kāla","start":"06:20","end":"08:17","startHours":6.327944642072753,"endHours":8.288044682030614,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:15","end":"12:12","startHours":10.248144721988474,"endHours":12.208244761946336,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:10","end":"16:08","startHours":14.168344801904198,"endHours":16.12844484186206,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:02","end":"08:33","startHours":8.026698010036233,"endHours":8.549391354024996,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:01","end":"05:26","startHours":5.021211282100846,"endHours":5.439365957291856,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.685551417957575,"endHours":12.7309381059351,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:17","end":"03:19","startHours":2.27707122615984,"endHours":3.322457914137366,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:04","end":"04:22","startHours":3.0611112421429842,"endHours":4.367844602114892,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:52","startHours":14.821711481890151,"endHours":15.867098169867678,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:51","end":"20:15","startHours":19.848644921777783,"endHours":20.24864492177778,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:03","end":"20:42","startHours":20.048644921777782,"endHours":20.702011601763736,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:48","end":"21:33","startHours":19.798644921777782,"endHours":21.548644921777782,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.685551417957576,"endHours":24.730938105935103,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:22","end":"06:20","startHours":4.367844602114892,"endHours":6.327944642072753,"quality":"auspicious"},{"name":"Kāla","start":"06:20","end":"08:17","startHours":6.327944642072753,"endHours":8.288044682030614,"quality":"inauspicious"},{"name":"Śubha","start":"08:17","end":"10:15","startHours":8.288044682030614,"endHours":10.248144721988474,"quality":"auspicious"},{"name":"Roga","start":"10:15","end":"12:12","startHours":10.248144721988474,"endHours":12.208244761946336,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"14:10","startHours":12.208244761946336,"endHours":14.168344801904198,"quality":"inauspicious"},{"name":"Chala","start":"14:10","end":"16:08","startHours":14.168344801904198,"endHours":16.12844484186206,"quality":"neutral"},{"name":"Labha","start":"16:08","end":"18:05","startHours":16.12844484186206,"endHours":18.08854488181992,"quality":"auspicious"},{"name":"Amṛta","start":"18:05","end":"20:03","startHours":18.08854488181992,"endHours":20.048644921777782,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"20:03","end":"21:05","startHours":20.048644921777782,"endHours":21.08854488181992,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:08","startHours":21.08854488181992,"endHours":22.12844484186206,"quality":"auspicious"},{"name":"Amṛta","start":"22:08","end":"23:10","startHours":22.12844484186206,"endHours":23.168344801904198,"quality":"auspicious"},{"name":"Kāla","start":"23:10","end":"00:12","startHours":23.168344801904198,"endHours":24.20824476194634,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:15","startHours":24.20824476194634,"endHours":25.248144721988474,"quality":"auspicious"},{"name":"Roga","start":"01:15","end":"02:17","startHours":25.248144721988474,"endHours":26.288044682030616,"quality":"inauspicious"},{"name":"Udveg","start":"02:17","end":"03:20","startHours":26.288044682030616,"endHours":27.327944642072755,"quality":"inauspicious"},{"name":"Chala","start":"03:20","end":"04:22","startHours":27.327944642072755,"endHours":28.367844602114893,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:22","end":"05:22","startHours":4.367844602114892,"endHours":5.367844602114892,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:22","end":"06:22","startHours":5.367844602114892,"endHours":6.367844602114892,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:22","end":"07:22","startHours":6.367844602114892,"endHours":7.367844602114892,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:22","end":"08:22","startHours":7.367844602114892,"endHours":8.367844602114893,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:22","end":"09:22","startHours":8.367844602114893,"endHours":9.367844602114893,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:22","end":"10:22","startHours":9.367844602114893,"endHours":10.367844602114893,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:22","end":"11:22","startHours":10.367844602114893,"endHours":11.367844602114893,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:22","end":"12:22","startHours":11.367844602114893,"endHours":12.367844602114893,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:22","end":"13:22","startHours":12.367844602114893,"endHours":13.367844602114893,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:22","end":"14:22","startHours":13.367844602114893,"endHours":14.367844602114893,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:22","end":"15:22","startHours":14.367844602114893,"endHours":15.367844602114893,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:22","end":"16:22","startHours":15.367844602114893,"endHours":16.367844602114893,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:22","end":"17:22","startHours":16.367844602114893,"endHours":17.367844602114893,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:22","end":"18:22","startHours":17.367844602114893,"endHours":18.367844602114893,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:22","end":"19:22","startHours":18.367844602114893,"endHours":19.367844602114893,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:22","end":"20:22","startHours":19.367844602114893,"endHours":20.367844602114893,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:22","end":"21:22","startHours":20.367844602114893,"endHours":21.367844602114893,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:22","end":"22:22","startHours":21.367844602114893,"endHours":22.367844602114893,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:22","end":"23:22","startHours":22.367844602114893,"endHours":23.367844602114893,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:22","end":"00:22","startHours":23.367844602114893,"endHours":24.367844602114893,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:22","end":"01:22","startHours":24.367844602114893,"endHours":25.367844602114893,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:22","end":"02:22","startHours":25.367844602114893,"endHours":26.367844602114893,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:22","end":"03:22","startHours":26.367844602114893,"endHours":27.367844602114893,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:22","end":"04:22","startHours":27.367844602114893,"endHours":28.367844602114893,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.571705846163024,"eotMinutes":-6.1146857167802535,"ayanamsa":26.0821}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","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":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pūrṇimā · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"guru-purnima","name":"Guru Pūrṇimā / Vyāsa Pūrṇimā","name_sanskrit":"गुरु पूर्णिमा / व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Vyāsa-jī","significance":"Honor Vyāsa-jī and all gurus.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1},{"id":"vyasa-purnima","name":"Vyāsa Pūrṇimā (= Guru Pūrṇimā)","name_sanskrit":"व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Veda-Vyāsa","significance":"Birth of Veda-Vyāsa; Mahābhārata-Purāṇa-vibhāga-kartā. = Guru Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1,"related_chart":"vyasa"}],"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 July 30, 2159 CE · Berlin, Germany · Vidhyamitra","description":"July 30, 2159 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 04:22, sūryāsta 20:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-07-30","sa":"https://sa.vidhyamitra.com/city/berlin/2159-07-30","hi":"https://hi.vidhyamitra.com/city/berlin/2159-07-30","x-default":"https://vidhyamitra.com/city/berlin/2159-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:04:38.869Z","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":"2026-06-02T06:04:38.869Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:04:38.869Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}