{"id":"vidhyamitra:city-day:berlin:2159-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-04-18","date_display":"April 18, 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":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509725.770833,"kali_year":5260,"ahargana":1921260.2708,"sun":{"sidereal_longitude":1.5174,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":356.0607,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.5433,"elapsed_within_tithi_degrees":6.5433},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.0607,"elapsed_within_degrees":9.3941},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.5781},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":4,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509725.770833,"ahargana":1921260.2708,"kali_year":5260,"ayanamsa_lahiri":26.0782,"grahas":{"sun":{"sidereal_longitude":1.7609770000000253,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":357.693077,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":4.4907},"mars":{"sidereal_longitude":242.84537699999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":354.280177,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":159.39077699999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":44.95687699999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":177.35017700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":262.3851,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":82.3851,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2159,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509725.770833,"kali_year":5260,"ahargana":1921260.2708,"sun":{"sidereal_longitude":1.5174,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":356.0607,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.5433,"elapsed_within_tithi_degrees":6.5433},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.0607,"elapsed_within_degrees":9.3941},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.5781},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.491,"elongation":5.457},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.491,"opposition_distance":174.543}},"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":"05:03","sunsetLocal":"19:09","solarNoonLocal":"12:06","dayLengthHours":14.095218923849483,"dayLengthDisplay":"14 Hours 05 Mins 43 Secs","nightLengthDisplay":"9 Hours 54 Mins 17 Secs","moonriseLocal":"04:57","moonsetLocal":"18:43","rahuKala":{"name":"Rāhu Kāla","start":"12:06","end":"13:52","startHours":12.097901951735274,"endHours":13.859804317216462,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:49","end":"08:34","startHours":6.812194855291718,"endHours":8.574097220772904,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:20","end":"12:06","startHours":10.33599958625409,"endHours":12.097901951735274,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:20","end":"08:49","startHours":8.339176905375412,"endHours":8.809017536170396,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:38","end":"06:01","startHours":5.637593278304262,"endHours":6.013465782940249,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:34","startHours":11.628061320940294,"endHours":12.567742582530258,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:10","end":"04:07","startHours":3.1709299666306023,"endHours":4.110611228220567,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:53","end":"05:03","startHours":3.8756909128230763,"endHours":5.050292489810533,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:23","startHours":14.44710510571019,"endHours":15.386786367300155,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.945511413660018,"endHours":19.345511413660017,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:44","startHours":19.145511413660017,"endHours":19.732812202153745,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.895511413660017,"endHours":20.645511413660017,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:34","startHours":23.62806132094029,"endHours":24.567742582530258,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:03","end":"06:49","startHours":5.050292489810533,"endHours":6.812194855291718,"quality":"auspicious"},{"name":"Amṛta","start":"06:49","end":"08:34","startHours":6.812194855291718,"endHours":8.574097220772904,"quality":"auspicious"},{"name":"Kāla","start":"08:34","end":"10:20","startHours":8.574097220772904,"endHours":10.33599958625409,"quality":"inauspicious"},{"name":"Śubha","start":"10:20","end":"12:06","startHours":10.33599958625409,"endHours":12.097901951735274,"quality":"auspicious"},{"name":"Roga","start":"12:06","end":"13:52","startHours":12.097901951735274,"endHours":13.859804317216462,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:37","startHours":13.859804317216462,"endHours":15.621706682697646,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"17:23","startHours":15.621706682697646,"endHours":17.38360904817883,"quality":"neutral"},{"name":"Labha","start":"17:23","end":"19:09","startHours":17.38360904817883,"endHours":19.145511413660017,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:09","end":"20:23","startHours":19.145511413660017,"endHours":20.383609048178833,"quality":"inauspicious"},{"name":"Chala","start":"20:23","end":"21:37","startHours":20.383609048178833,"endHours":21.621706682697646,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"22:52","startHours":21.621706682697646,"endHours":22.85980431721646,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:06","startHours":22.85980431721646,"endHours":24.097901951735274,"quality":"auspicious"},{"name":"Kāla","start":"00:06","end":"01:20","startHours":24.097901951735274,"endHours":25.33599958625409,"quality":"inauspicious"},{"name":"Śubha","start":"01:20","end":"02:34","startHours":25.33599958625409,"endHours":26.574097220772906,"quality":"auspicious"},{"name":"Roga","start":"02:34","end":"03:49","startHours":26.574097220772906,"endHours":27.81219485529172,"quality":"inauspicious"},{"name":"Udveg","start":"03:49","end":"05:03","startHours":27.81219485529172,"endHours":29.050292489810534,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:03","end":"06:03","startHours":5.050292489810533,"endHours":6.050292489810533,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:03","end":"07:03","startHours":6.050292489810533,"endHours":7.050292489810533,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:03","end":"08:03","startHours":7.050292489810533,"endHours":8.050292489810534,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:03","end":"09:03","startHours":8.050292489810534,"endHours":9.050292489810534,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:03","end":"10:03","startHours":9.050292489810534,"endHours":10.050292489810534,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:03","end":"11:03","startHours":10.050292489810534,"endHours":11.050292489810534,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:03","end":"12:03","startHours":11.050292489810534,"endHours":12.050292489810534,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:03","end":"13:03","startHours":12.050292489810534,"endHours":13.050292489810534,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:03","end":"14:03","startHours":13.050292489810534,"endHours":14.050292489810534,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:03","end":"15:03","startHours":14.050292489810534,"endHours":15.050292489810534,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:03","end":"16:03","startHours":15.050292489810534,"endHours":16.050292489810534,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:03","end":"17:03","startHours":16.050292489810534,"endHours":17.050292489810534,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:03","end":"18:03","startHours":17.050292489810534,"endHours":18.050292489810534,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:03","end":"19:03","startHours":18.050292489810534,"endHours":19.050292489810534,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:03","end":"20:03","startHours":19.050292489810534,"endHours":20.050292489810534,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:03","end":"21:03","startHours":20.050292489810534,"endHours":21.050292489810534,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:03","end":"22:03","startHours":21.050292489810534,"endHours":22.050292489810534,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:03","end":"23:03","startHours":22.050292489810534,"endHours":23.050292489810534,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:03","end":"00:03","startHours":23.050292489810534,"endHours":24.050292489810534,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:03","end":"01:03","startHours":24.050292489810534,"endHours":25.050292489810534,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:03","end":"02:03","startHours":25.050292489810534,"endHours":26.050292489810534,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:03","end":"03:03","startHours":26.050292489810534,"endHours":27.050292489810534,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:03","end":"04:03","startHours":27.050292489810534,"endHours":28.050292489810534,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:03","end":"05:03","startHours":28.050292489810534,"endHours":29.050292489810534,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.704140896054454,"eotMinutes":0.5058828958834352,"ayanamsa":26.0782}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Amāvasyā · 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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 April 18, 2159 CE · Berlin, Germany · Vidhyamitra","description":"April 18, 2159 CE for Berlin, Germany: Kṛṣṇa Amāvasyā, sūryodaya 05:03, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-04-18","sa":"https://sa.vidhyamitra.com/city/berlin/2159-04-18","hi":"https://hi.vidhyamitra.com/city/berlin/2159-04-18","x-default":"https://vidhyamitra.com/city/berlin/2159-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:04:33.544Z","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":"2026-06-02T13:04:33.544Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:04:33.544Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}