{"id":"vidhyamitra:city-day:berlin:2159-08-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-08-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-08-08","date_display":"August 8, 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":8,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509837.770833,"kali_year":5261,"ahargana":1921372.2708,"sun":{"sidereal_longitude":108.3766,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":34.7464,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.3698,"elapsed_within_tithi_degrees":10.3698},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.7464,"elapsed_within_degrees":8.0798},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":143.123},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2159,"month":8,"day":8,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509837.770833,"ahargana":1921372.2708,"kali_year":5261,"ayanamsa_lahiri":26.0825,"grahas":{"sun":{"sidereal_longitude":109.32369800000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":32.85109799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":2.9921},"mars":{"sidereal_longitude":235.83909799999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":110.223098,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":162.741398,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":69.40009800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.72519799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":256.4508,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":76.4508,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":8,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509837.770833,"kali_year":5261,"ahargana":1921372.2708,"sun":{"sidereal_longitude":108.3766,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":34.7464,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":286.3698,"elapsed_within_tithi_degrees":10.3698},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.7464,"elapsed_within_degrees":8.0798},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":143.123},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.992,"elongation":73.63},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.992,"opposition_distance":106.37}},"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":"04:36","sunsetLocal":"19:47","solarNoonLocal":"12:12","dayLengthHours":15.178316750750152,"dayLengthDisplay":"15 Hours 10 Mins 42 Secs","nightLengthDisplay":"8 Hours 49 Mins 18 Secs","moonriseLocal":"23:08","moonsetLocal":"15:03","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"14:06","startHours":12.195484620659046,"endHours":14.092774214502816,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:30","end":"08:24","startHours":6.50361583912774,"endHours":8.40090543297151,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:18","end":"12:12","startHours":10.298195026815277,"endHours":12.195484620659046,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:09","end":"08:39","startHours":8.147933487125673,"endHours":8.653877378817345,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:14","end":"05:39","startHours":5.23875610989856,"endHours":5.643511223251897,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:42","startHours":11.689540728967375,"endHours":12.701428512350718,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:35","end":"03:36","startHours":2.582550678517283,"endHours":3.5944384619006264,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:20","end":"04:36","startHours":3.3414665160547905,"endHours":4.60632624528397,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:44","startHours":14.725204079117406,"endHours":15.73709186250075,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:35","end":"19:59","startHours":19.584642996034123,"endHours":19.984642996034122,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:47","end":"20:25","startHours":19.784642996034123,"endHours":20.417072860648712,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:32","end":"21:17","startHours":19.534642996034123,"endHours":21.284642996034123,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:42","startHours":23.689540728967373,"endHours":24.701428512350716,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:36","end":"06:30","startHours":4.60632624528397,"endHours":6.50361583912774,"quality":"auspicious"},{"name":"Amṛta","start":"06:30","end":"08:24","startHours":6.50361583912774,"endHours":8.40090543297151,"quality":"auspicious"},{"name":"Kāla","start":"08:24","end":"10:18","startHours":8.40090543297151,"endHours":10.298195026815277,"quality":"inauspicious"},{"name":"Śubha","start":"10:18","end":"12:12","startHours":10.298195026815277,"endHours":12.195484620659046,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"14:06","startHours":12.195484620659046,"endHours":14.092774214502816,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:59","startHours":14.092774214502816,"endHours":15.990063808346584,"quality":"inauspicious"},{"name":"Chala","start":"15:59","end":"17:53","startHours":15.990063808346584,"endHours":17.887353402190353,"quality":"neutral"},{"name":"Labha","start":"17:53","end":"19:47","startHours":17.887353402190353,"endHours":19.784642996034123,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:47","end":"20:53","startHours":19.784642996034123,"endHours":20.887353402190353,"quality":"inauspicious"},{"name":"Chala","start":"20:53","end":"21:59","startHours":20.887353402190353,"endHours":21.990063808346584,"quality":"neutral"},{"name":"Labha","start":"21:59","end":"23:06","startHours":21.990063808346584,"endHours":23.092774214502814,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:12","startHours":23.092774214502814,"endHours":24.195484620659045,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:18","startHours":24.195484620659045,"endHours":25.29819502681528,"quality":"inauspicious"},{"name":"Śubha","start":"01:18","end":"02:24","startHours":25.29819502681528,"endHours":26.40090543297151,"quality":"auspicious"},{"name":"Roga","start":"02:24","end":"03:30","startHours":26.40090543297151,"endHours":27.50361583912774,"quality":"inauspicious"},{"name":"Udveg","start":"03:30","end":"04:36","startHours":27.50361583912774,"endHours":28.60632624528397,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:36","end":"05:36","startHours":4.60632624528397,"endHours":5.60632624528397,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:36","end":"06:36","startHours":5.60632624528397,"endHours":6.60632624528397,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:36","end":"07:36","startHours":6.60632624528397,"endHours":7.60632624528397,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:36","end":"08:36","startHours":7.60632624528397,"endHours":8.60632624528397,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:36","end":"09:36","startHours":8.60632624528397,"endHours":9.60632624528397,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:36","end":"10:36","startHours":9.60632624528397,"endHours":10.60632624528397,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:36","end":"11:36","startHours":10.60632624528397,"endHours":11.60632624528397,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:36","end":"12:36","startHours":11.60632624528397,"endHours":12.60632624528397,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:36","end":"13:36","startHours":12.60632624528397,"endHours":13.60632624528397,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:36","end":"14:36","startHours":13.60632624528397,"endHours":14.60632624528397,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:36","end":"15:36","startHours":14.60632624528397,"endHours":15.60632624528397,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:36","end":"16:36","startHours":15.60632624528397,"endHours":16.60632624528397,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:36","end":"17:36","startHours":16.60632624528397,"endHours":17.60632624528397,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:36","end":"18:36","startHours":17.60632624528397,"endHours":18.60632624528397,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:36","end":"19:36","startHours":18.60632624528397,"endHours":19.60632624528397,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:36","end":"20:36","startHours":19.60632624528397,"endHours":20.60632624528397,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:36","end":"21:36","startHours":20.60632624528397,"endHours":21.60632624528397,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:36","end":"22:36","startHours":21.60632624528397,"endHours":22.60632624528397,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:36","end":"23:36","startHours":22.60632624528397,"endHours":23.60632624528397,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:36","end":"00:36","startHours":23.60632624528397,"endHours":24.60632624528397,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:36","end":"01:36","startHours":24.60632624528397,"endHours":25.60632624528397,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:36","end":"02:36","startHours":25.60632624528397,"endHours":26.60632624528397,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:36","end":"03:36","startHours":26.60632624528397,"endHours":27.60632624528397,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:36","end":"04:36","startHours":27.60632624528397,"endHours":28.60632624528397,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","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":16.214756824584388,"eotMinutes":-5.349077239542768,"ayanamsa":26.0825}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[],"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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 August 8, 2159 CE · Berlin, Germany · Vidhyamitra","description":"August 8, 2159 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 04:36, sūryāsta 19:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-08-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-08-08","sa":"https://sa.vidhyamitra.com/city/berlin/2159-08-08","hi":"https://hi.vidhyamitra.com/city/berlin/2159-08-08","x-default":"https://vidhyamitra.com/city/berlin/2159-08-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:29:27.113Z","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":"2026-06-02T07:29:27.114Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:29:27.114Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}