{"id":"vidhyamitra:city-day:berlin:1968-08-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1968-08-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-08-24","date_display":"August 24, 1968 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":1968,"month":8,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440092.770833,"kali_year":5070,"ahargana":1851627.2708,"sun":{"sidereal_longitude":126.9395,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":126.546,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.6064,"elapsed_within_tithi_degrees":11.6064},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":126.546,"elapsed_within_degrees":6.546},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.4855},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1968,"month":8,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440092.770833,"ahargana":1851627.2708,"kali_year":5070,"ayanamsa_lahiri":23.415,"grahas":{"sun":{"sidereal_longitude":127.52067,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":127.98856999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":3.1987},"mars":{"sidereal_longitude":108.78907000000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":143.14436999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":140.03467,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":145.67347,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":2.463669999999979,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":351.8765,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":171.8765,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1968,"month":8,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440092.770833,"kali_year":5070,"ahargana":1851627.2708,"sun":{"sidereal_longitude":126.9395,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":126.546,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.6064,"elapsed_within_tithi_degrees":11.6064},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":126.546,"elapsed_within_degrees":6.546},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.4855},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.199,"elongation":0.394},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.199,"opposition_distance":179.606}},"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":"19:14","solarNoonLocal":"12:08","dayLengthHours":14.177382134353698,"dayLengthDisplay":"14 Hours 10 Mins 39 Secs","nightLengthDisplay":"9 Hours 49 Mins 21 Secs","moonriseLocal":"05:08","moonsetLocal":"19:13","rahuKala":{"name":"Rāhu Kāla","start":"08:36","end":"10:22","startHours":8.59518518144678,"endHours":10.367357948240992,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:41","startHours":13.911703481829417,"endHours":15.683876248623628,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:03","end":"06:49","startHours":5.050839647858355,"endHours":6.823012414652568,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:22","end":"08:50","startHours":8.35889547920755,"endHours":8.831474883686008,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:38","end":"06:01","startHours":5.641563903456426,"endHours":6.019627427039191,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:37","startHours":11.666951310556748,"endHours":12.612110119513659,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:10","end":"04:06","startHours":3.160522029944529,"endHours":4.105680838901442,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:52","end":"05:03","startHours":3.869391136662214,"endHours":5.050839647858355,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:27","startHours":14.502427737427487,"endHours":15.4475865463844,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.028221782212054,"endHours":19.428221782212052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:49","startHours":19.228221782212053,"endHours":19.818946037810125,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.978221782212053,"endHours":20.728221782212053,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:37","startHours":23.666951310556748,"endHours":24.61211011951366,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:03","end":"06:49","startHours":5.050839647858355,"endHours":6.823012414652568,"quality":"inauspicious"},{"name":"Śubha","start":"06:49","end":"08:36","startHours":6.823012414652568,"endHours":8.59518518144678,"quality":"auspicious"},{"name":"Roga","start":"08:36","end":"10:22","startHours":8.59518518144678,"endHours":10.367357948240992,"quality":"inauspicious"},{"name":"Udveg","start":"10:22","end":"12:08","startHours":10.367357948240992,"endHours":12.139530715035203,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:55","startHours":12.139530715035203,"endHours":13.911703481829417,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:41","startHours":13.911703481829417,"endHours":15.683876248623628,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:27","startHours":15.683876248623628,"endHours":17.45604901541784,"quality":"auspicious"},{"name":"Kāla","start":"17:27","end":"19:14","startHours":17.45604901541784,"endHours":19.228221782212053,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:14","end":"20:27","startHours":19.228221782212053,"endHours":20.45604901541784,"quality":"auspicious"},{"name":"Amṛta","start":"20:27","end":"21:41","startHours":20.45604901541784,"endHours":21.68387624862363,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"22:55","startHours":21.68387624862363,"endHours":22.911703481829417,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:08","startHours":22.911703481829417,"endHours":24.139530715035203,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:22","startHours":24.139530715035203,"endHours":25.367357948240993,"quality":"inauspicious"},{"name":"Udveg","start":"01:22","end":"02:36","startHours":25.367357948240993,"endHours":26.59518518144678,"quality":"inauspicious"},{"name":"Chala","start":"02:36","end":"03:49","startHours":26.59518518144678,"endHours":27.823012414652567,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:03","startHours":27.823012414652567,"endHours":29.050839647858353,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:03","end":"06:03","startHours":5.050839647858355,"endHours":6.050839647858355,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:03","end":"07:03","startHours":6.050839647858355,"endHours":7.050839647858355,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:03","end":"08:03","startHours":7.050839647858355,"endHours":8.050839647858355,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:03","end":"09:03","startHours":8.050839647858355,"endHours":9.050839647858355,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:03","end":"10:03","startHours":9.050839647858355,"endHours":10.050839647858355,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:03","end":"11:03","startHours":10.050839647858355,"endHours":11.050839647858355,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:03","end":"12:03","startHours":11.050839647858355,"endHours":12.050839647858355,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:03","end":"13:03","startHours":12.050839647858355,"endHours":13.050839647858355,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:03","end":"14:03","startHours":13.050839647858355,"endHours":14.050839647858355,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:03","end":"15:03","startHours":14.050839647858355,"endHours":15.050839647858355,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:03","end":"16:03","startHours":15.050839647858355,"endHours":16.050839647858353,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:03","end":"17:03","startHours":16.050839647858353,"endHours":17.050839647858353,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:03","end":"18:03","startHours":17.050839647858353,"endHours":18.050839647858353,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:03","end":"19:03","startHours":18.050839647858353,"endHours":19.050839647858353,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:03","end":"20:03","startHours":19.050839647858353,"endHours":20.050839647858353,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:03","end":"21:03","startHours":20.050839647858353,"endHours":21.050839647858353,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:03","end":"22:03","startHours":21.050839647858353,"endHours":22.050839647858353,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:03","end":"23:03","startHours":22.050839647858353,"endHours":23.050839647858353,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:03","end":"00:03","startHours":23.050839647858353,"endHours":24.050839647858353,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:03","end":"01:03","startHours":24.050839647858353,"endHours":25.050839647858353,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:03","end":"02:03","startHours":25.050839647858353,"endHours":26.050839647858353,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:03","end":"03:03","startHours":26.050839647858353,"endHours":27.050839647858353,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:03","end":"04:03","startHours":27.050839647858353,"endHours":28.050839647858353,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:03","end":"05:03","startHours":28.050839647858353,"endHours":29.050839647858353,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.140466168409445,"eotMinutes":-1.9918429021122266,"ayanamsa":23.415}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 24, 1968 CE · Berlin, Germany · Vidhyamitra","description":"August 24, 1968 CE for Berlin, Germany: Kṛṣṇa Amāvasyā, sūryodaya 05:03, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1968-08-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1968-08-24","sa":"https://sa.vidhyamitra.com/city/berlin/1968-08-24","hi":"https://hi.vidhyamitra.com/city/berlin/1968-08-24","x-default":"https://vidhyamitra.com/city/berlin/1968-08-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:19:08.031Z","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":"2026-06-02T18:19:08.031Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:19:08.031Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}