{"id":"vidhyamitra:city-day:berlin:1964-07-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1964-07-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-07-07","date_display":"July 7, 1964 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":1964,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438583.770833,"kali_year":5066,"ahargana":1850118.2708,"sun":{"sidereal_longitude":81.3013,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":49.0747,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.7734,"elapsed_within_tithi_degrees":3.7734},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.0747,"elapsed_within_degrees":9.0747},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.376},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1964,"month":7,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438583.770833,"ahargana":1850118.2708,"kali_year":5066,"ayanamsa_lahiri":23.3573,"grahas":{"sun":{"sidereal_longitude":81.59542499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":47.24012499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-1.7391},"mars":{"sidereal_longitude":50.93542500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":93.28452500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":26.471124999999972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":57.75992500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":312.00312499999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":71.8306,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":251.8306,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1964,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438583.770833,"kali_year":5066,"ahargana":1850118.2708,"sun":{"sidereal_longitude":81.3013,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":49.0747,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.7734,"elapsed_within_tithi_degrees":3.7734},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.0747,"elapsed_within_degrees":9.0747},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.376},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.739,"elongation":32.227},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.739,"opposition_distance":147.773}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":0.14,"opposition_distance":0.737}]},"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":"03:52","sunsetLocal":"20:30","solarNoonLocal":"12:11","dayLengthHours":16.62129554261726,"dayLengthDisplay":"16 Hours 37 Mins 17 Secs","nightLengthDisplay":"7 Hours 22 Mins 43 Secs","moonriseLocal":"01:41","moonsetLocal":"18:06","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"18:25","startHours":16.337025550726004,"endHours":18.414687493553163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:02","end":"10:06","startHours":8.026377779417375,"endHours":10.104039722244533,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"14:16","startHours":12.18170166507169,"endHours":14.259363607898848,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:45","end":"08:18","startHours":7.749356187040421,"endHours":8.30339937179433,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:34","end":"05:00","startHours":4.563607874705446,"endHours":5.006842422508573,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:44","startHours":11.627658480317784,"endHours":12.7357448498256,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:39","end":"02:46","startHours":1.6548811547474251,"endHours":2.7629675242552425,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:29","end":"03:52","startHours":2.4859459318782884,"endHours":3.87105389376306,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.951917588841233,"endHours":16.06000395834905,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:18","end":"20:42","startHours":20.292349436380324,"endHours":20.692349436380322,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:30","end":"21:11","startHours":20.492349436380323,"endHours":21.184903417322708,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:15","end":"22:00","startHours":20.242349436380323,"endHours":21.992349436380323,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:44","startHours":23.627658480317784,"endHours":24.7357448498256,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"03:52","end":"05:57","startHours":3.87105389376306,"endHours":5.9487158365902175,"quality":"inauspicious"},{"name":"Udveg","start":"05:57","end":"08:02","startHours":5.9487158365902175,"endHours":8.026377779417375,"quality":"inauspicious"},{"name":"Chala","start":"08:02","end":"10:06","startHours":8.026377779417375,"endHours":10.104039722244533,"quality":"neutral"},{"name":"Labha","start":"10:06","end":"12:11","startHours":10.104039722244533,"endHours":12.18170166507169,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"14:16","startHours":12.18170166507169,"endHours":14.259363607898848,"quality":"auspicious"},{"name":"Kāla","start":"14:16","end":"16:20","startHours":14.259363607898848,"endHours":16.337025550726004,"quality":"inauspicious"},{"name":"Śubha","start":"16:20","end":"18:25","startHours":16.337025550726004,"endHours":18.414687493553163,"quality":"auspicious"},{"name":"Roga","start":"18:25","end":"20:30","startHours":18.414687493553163,"endHours":20.492349436380323,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"20:30","end":"21:25","startHours":20.492349436380323,"endHours":21.414687493553167,"quality":"inauspicious"},{"name":"Śubha","start":"21:25","end":"22:20","startHours":21.414687493553167,"endHours":22.337025550726008,"quality":"auspicious"},{"name":"Roga","start":"22:20","end":"23:16","startHours":22.337025550726008,"endHours":23.259363607898848,"quality":"inauspicious"},{"name":"Udveg","start":"23:16","end":"00:11","startHours":23.259363607898848,"endHours":24.181701665071692,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:06","startHours":24.181701665071692,"endHours":25.104039722244536,"quality":"neutral"},{"name":"Labha","start":"01:06","end":"02:02","startHours":25.104039722244536,"endHours":26.026377779417377,"quality":"auspicious"},{"name":"Amṛta","start":"02:02","end":"02:57","startHours":26.026377779417377,"endHours":26.948715836590218,"quality":"auspicious"},{"name":"Kāla","start":"02:57","end":"03:52","startHours":26.948715836590218,"endHours":27.87105389376306,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"03:52","end":"04:52","startHours":3.87105389376306,"endHours":4.87105389376306,"planetary_lord":"Mars"},{"name":"Hora 2","start":"04:52","end":"05:52","startHours":4.87105389376306,"endHours":5.87105389376306,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"05:52","end":"06:52","startHours":5.87105389376306,"endHours":6.87105389376306,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"06:52","end":"07:52","startHours":6.87105389376306,"endHours":7.87105389376306,"planetary_lord":"Moon"},{"name":"Hora 5","start":"07:52","end":"08:52","startHours":7.87105389376306,"endHours":8.87105389376306,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"08:52","end":"09:52","startHours":8.87105389376306,"endHours":9.87105389376306,"planetary_lord":"Venus"},{"name":"Hora 7","start":"09:52","end":"10:52","startHours":9.87105389376306,"endHours":10.87105389376306,"planetary_lord":"Sun"},{"name":"Hora 8","start":"10:52","end":"11:52","startHours":10.87105389376306,"endHours":11.87105389376306,"planetary_lord":"Mars"},{"name":"Hora 9","start":"11:52","end":"12:52","startHours":11.87105389376306,"endHours":12.87105389376306,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"12:52","end":"13:52","startHours":12.87105389376306,"endHours":13.87105389376306,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"13:52","end":"14:52","startHours":13.87105389376306,"endHours":14.87105389376306,"planetary_lord":"Moon"},{"name":"Hora 12","start":"14:52","end":"15:52","startHours":14.87105389376306,"endHours":15.87105389376306,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"15:52","end":"16:52","startHours":15.87105389376306,"endHours":16.87105389376306,"planetary_lord":"Venus"},{"name":"Hora 14","start":"16:52","end":"17:52","startHours":16.87105389376306,"endHours":17.87105389376306,"planetary_lord":"Sun"},{"name":"Hora 15","start":"17:52","end":"18:52","startHours":17.87105389376306,"endHours":18.87105389376306,"planetary_lord":"Mars"},{"name":"Hora 16","start":"18:52","end":"19:52","startHours":18.87105389376306,"endHours":19.87105389376306,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"19:52","end":"20:52","startHours":19.87105389376306,"endHours":20.87105389376306,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"20:52","end":"21:52","startHours":20.87105389376306,"endHours":21.87105389376306,"planetary_lord":"Moon"},{"name":"Hora 19","start":"21:52","end":"22:52","startHours":21.87105389376306,"endHours":22.87105389376306,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"22:52","end":"23:52","startHours":22.87105389376306,"endHours":23.87105389376306,"planetary_lord":"Venus"},{"name":"Hora 21","start":"23:52","end":"00:52","startHours":23.87105389376306,"endHours":24.87105389376306,"planetary_lord":"Sun"},{"name":"Hora 22","start":"00:52","end":"01:52","startHours":24.87105389376306,"endHours":25.87105389376306,"planetary_lord":"Mars"},{"name":"Hora 23","start":"01:52","end":"02:52","startHours":25.87105389376306,"endHours":26.87105389376306,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"02:52","end":"03:52","startHours":26.87105389376306,"endHours":27.87105389376306,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.59810959621087,"eotMinutes":-4.522099904301516,"ayanamsa":23.3573}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 7, 1964 CE · Berlin, Germany · Vidhyamitra","description":"July 7, 1964 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 03:52, sūryāsta 20:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1964-07-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1964-07-07","sa":"https://sa.vidhyamitra.com/city/berlin/1964-07-07","hi":"https://hi.vidhyamitra.com/city/berlin/1964-07-07","x-default":"https://vidhyamitra.com/city/berlin/1964-07-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:41:23.429Z","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":"2026-06-01T18:41:23.429Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:41:23.429Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}