{"id":"vidhyamitra:city-day:berlin:2154-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2154-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2154-07-24","date_display":"July 24, 2154 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":2154,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507996.770833,"kali_year":5256,"ahargana":1919531.2708,"sun":{"sidereal_longitude":94.4071,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":263.2557,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.8486,"elapsed_within_tithi_degrees":0.8486},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.2557,"elapsed_within_degrees":9.9224},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.6628},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2154,"month":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507996.770833,"ahargana":1919531.2708,"kali_year":5256,"ayanamsa_lahiri":26.0121,"grahas":{"sun":{"sidereal_longitude":95.25233800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":262.441738,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":-4.4996},"mars":{"sidereal_longitude":62.511438,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":107.38273800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":31.876138000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":137.53153799999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":116.561238,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":353.9958,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":173.9958,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"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":2154,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507996.770833,"kali_year":5256,"ahargana":1919531.2708,"sun":{"sidereal_longitude":94.4071,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":263.2557,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.8486,"elapsed_within_tithi_degrees":0.8486},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.2557,"elapsed_within_degrees":9.9224},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.6628},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.5,"elongation":168.849},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.5,"opposition_distance":11.151}},"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":"04:13","sunsetLocal":"20:12","solarNoonLocal":"12:13","dayLengthHours":15.972435284781493,"dayLengthDisplay":"15 Hours 58 Mins 21 Secs","nightLengthDisplay":"8 Hours 01 Mins 39 Secs","moonriseLocal":"19:25","moonsetLocal":"03:18","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"14:12","startHours":12.209002833185307,"endHours":14.205557243782994,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:13","end":"08:13","startHours":6.219339601392248,"endHours":8.215894011989935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:13","end":"12:13","startHours":10.21244842258762,"endHours":12.209002833185307,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:57","end":"08:29","startHours":7.949686757243575,"endHours":8.482101266736292,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:53","end":"05:19","startHours":4.888303327660456,"endHours":5.314234935254629,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.676588323692592,"endHours":12.741417342678023,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:06","end":"03:09","startHours":2.093127152823695,"endHours":3.157956171809128,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:54","end":"04:13","startHours":2.8917489170627695,"endHours":4.222785190794561,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:56","startHours":14.87107538064889,"endHours":15.935904399634323,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:00","end":"20:24","startHours":19.995220475576055,"endHours":20.395220475576053,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:12","end":"20:52","startHours":20.195220475576054,"endHours":20.86073861244195,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:57","end":"21:42","startHours":19.945220475576054,"endHours":21.695220475576054,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.67658832369259,"endHours":24.741417342678027,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:13","end":"06:13","startHours":4.222785190794561,"endHours":6.219339601392248,"quality":"auspicious"},{"name":"Amṛta","start":"06:13","end":"08:13","startHours":6.219339601392248,"endHours":8.215894011989935,"quality":"auspicious"},{"name":"Kāla","start":"08:13","end":"10:13","startHours":8.215894011989935,"endHours":10.21244842258762,"quality":"inauspicious"},{"name":"Śubha","start":"10:13","end":"12:13","startHours":10.21244842258762,"endHours":12.209002833185307,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"14:12","startHours":12.209002833185307,"endHours":14.205557243782994,"quality":"inauspicious"},{"name":"Udveg","start":"14:12","end":"16:12","startHours":14.205557243782994,"endHours":16.20211165438068,"quality":"inauspicious"},{"name":"Chala","start":"16:12","end":"18:12","startHours":16.20211165438068,"endHours":18.19866606497837,"quality":"neutral"},{"name":"Labha","start":"18:12","end":"20:12","startHours":18.19866606497837,"endHours":20.195220475576054,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"20:12","end":"21:12","startHours":20.195220475576054,"endHours":21.19866606497837,"quality":"inauspicious"},{"name":"Chala","start":"21:12","end":"22:12","startHours":21.19866606497837,"endHours":22.20211165438068,"quality":"neutral"},{"name":"Labha","start":"22:12","end":"23:12","startHours":22.20211165438068,"endHours":23.205557243782994,"quality":"auspicious"},{"name":"Amṛta","start":"23:12","end":"00:13","startHours":23.205557243782994,"endHours":24.20900283318531,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:13","startHours":24.20900283318531,"endHours":25.21244842258762,"quality":"inauspicious"},{"name":"Śubha","start":"01:13","end":"02:13","startHours":25.21244842258762,"endHours":26.215894011989935,"quality":"auspicious"},{"name":"Roga","start":"02:13","end":"03:13","startHours":26.215894011989935,"endHours":27.21933960139225,"quality":"inauspicious"},{"name":"Udveg","start":"03:13","end":"04:13","startHours":27.21933960139225,"endHours":28.22278519079456,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:13","end":"05:13","startHours":4.222785190794561,"endHours":5.222785190794561,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:13","end":"06:13","startHours":5.222785190794561,"endHours":6.222785190794561,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:13","end":"07:13","startHours":6.222785190794561,"endHours":7.222785190794561,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:13","end":"08:13","startHours":7.222785190794561,"endHours":8.22278519079456,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:13","end":"09:13","startHours":8.22278519079456,"endHours":9.22278519079456,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:13","end":"10:13","startHours":9.22278519079456,"endHours":10.22278519079456,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:13","end":"11:13","startHours":10.22278519079456,"endHours":11.22278519079456,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:13","end":"12:13","startHours":11.22278519079456,"endHours":12.22278519079456,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:13","end":"13:13","startHours":12.22278519079456,"endHours":13.22278519079456,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:13","end":"14:13","startHours":13.22278519079456,"endHours":14.22278519079456,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:13","end":"15:13","startHours":14.22278519079456,"endHours":15.22278519079456,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:13","end":"16:13","startHours":15.22278519079456,"endHours":16.22278519079456,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:13","end":"17:13","startHours":16.22278519079456,"endHours":17.22278519079456,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:13","end":"18:13","startHours":17.22278519079456,"endHours":18.22278519079456,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:13","end":"19:13","startHours":18.22278519079456,"endHours":19.22278519079456,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:13","end":"20:13","startHours":19.22278519079456,"endHours":20.22278519079456,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:13","end":"21:13","startHours":20.22278519079456,"endHours":21.22278519079456,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:13","end":"22:13","startHours":21.22278519079456,"endHours":22.22278519079456,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:13","end":"23:13","startHours":22.22278519079456,"endHours":23.22278519079456,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:13","end":"00:13","startHours":23.22278519079456,"endHours":24.22278519079456,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:13","end":"01:13","startHours":24.22278519079456,"endHours":25.22278519079456,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:13","end":"02:13","startHours":25.22278519079456,"endHours":26.22278519079456,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:13","end":"03:13","startHours":26.22278519079456,"endHours":27.22278519079456,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:13","end":"04:13","startHours":27.22278519079456,"endHours":28.22278519079456,"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","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":19.87530205878229,"eotMinutes":-6.160169991118456,"ayanamsa":26.0121}},"calendars":{"vikram_samvat":2211,"vikram_samvatsara":"Prabhava","saka_samvat":2076,"saka_samvatsara":"Ānanda","bengali_samvat":1561,"malayalam_era":1330,"nanakshahi_year":685,"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 2211 Prabhava · Śaka 2076 Ānanda"},"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":"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":[{"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 24, 2154 CE · Berlin, Germany · Vidhyamitra","description":"July 24, 2154 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 04:13, sūryāsta 20:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2154-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2154-07-24","sa":"https://sa.vidhyamitra.com/city/berlin/2154-07-24","hi":"https://hi.vidhyamitra.com/city/berlin/2154-07-24","x-default":"https://vidhyamitra.com/city/berlin/2154-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:45:32.760Z","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":"2026-06-01T22:45:32.760Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:45:32.760Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}