{"id":"vidhyamitra:city-day:berlin:1968-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/1968-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-07-04","date_display":"July 4, 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":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440041.770833,"kali_year":5070,"ahargana":1851576.2708,"sun":{"sidereal_longitude":78.4286,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":178.0411,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.6125,"elapsed_within_tithi_degrees":3.6125},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.0411,"elapsed_within_degrees":4.7078},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4697},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440041.770833,"ahargana":1851576.2708,"kali_year":5070,"ayanamsa_lahiri":23.413,"grahas":{"sun":{"sidereal_longitude":78.71211800000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":175.363118,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-0.2715},"mars":{"sidereal_longitude":75.58401800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":60.64041800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":129.967418,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":82.91611799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":1.7264180000000238,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":354.5788,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":174.5788,"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":1968,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440041.770833,"kali_year":5070,"ahargana":1851576.2708,"sun":{"sidereal_longitude":78.4286,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":178.0411,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.6125,"elapsed_within_tithi_degrees":3.6125},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.0411,"elapsed_within_degrees":4.7078},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4697},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.271,"elongation":99.613},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.271,"opposition_distance":80.387}},"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":"03:50","sunsetLocal":"20:31","solarNoonLocal":"12:10","dayLengthHours":16.692977713112427,"dayLengthDisplay":"16 Hours 41 Mins 35 Secs","nightLengthDisplay":"7 Hours 18 Mins 25 Secs","moonriseLocal":"13:12","moonsetLocal":"00:02","rahuKala":{"name":"Rāhu Kāla","start":"14:16","end":"16:21","startHours":14.259944101748424,"endHours":16.34656631588748,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"03:50","end":"05:55","startHours":3.826833031053157,"endHours":5.91345524519221,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:00","end":"10:05","startHours":8.000077459331264,"endHours":10.086699673470317,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:43","end":"08:17","startHours":7.721861164112724,"endHours":8.278293754549804,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:31","end":"04:58","startHours":4.5223737690995085,"endHours":4.967519841449173,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:44","startHours":11.616889297172289,"endHours":12.729754478046452,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:36","end":"02:43","startHours":1.6011026693048334,"endHours":2.713967850178995,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:26","end":"03:50","startHours":2.4357515549604547,"endHours":3.826833031053157,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.955484839794776,"endHours":16.068350020668937,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:19","end":"20:43","startHours":20.319810744165583,"endHours":20.71981074416558,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:31","end":"21:13","startHours":20.519810744165582,"endHours":21.215351482211933,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:16","end":"22:01","startHours":20.269810744165582,"endHours":22.019810744165582,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:44","startHours":23.61688929717229,"endHours":24.72975447804645,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"03:50","end":"05:55","startHours":3.826833031053157,"endHours":5.91345524519221,"quality":"auspicious"},{"name":"Roga","start":"05:55","end":"08:00","startHours":5.91345524519221,"endHours":8.000077459331264,"quality":"inauspicious"},{"name":"Udveg","start":"08:00","end":"10:05","startHours":8.000077459331264,"endHours":10.086699673470317,"quality":"inauspicious"},{"name":"Chala","start":"10:05","end":"12:10","startHours":10.086699673470317,"endHours":12.17332188760937,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"14:16","startHours":12.17332188760937,"endHours":14.259944101748424,"quality":"auspicious"},{"name":"Amṛta","start":"14:16","end":"16:21","startHours":14.259944101748424,"endHours":16.34656631588748,"quality":"auspicious"},{"name":"Kāla","start":"16:21","end":"18:26","startHours":16.34656631588748,"endHours":18.43318853002653,"quality":"inauspicious"},{"name":"Śubha","start":"18:26","end":"20:31","startHours":18.43318853002653,"endHours":20.519810744165582,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:31","end":"21:26","startHours":20.519810744165582,"endHours":21.433188530026527,"quality":"auspicious"},{"name":"Kāla","start":"21:26","end":"22:21","startHours":21.433188530026527,"endHours":22.346566315887475,"quality":"inauspicious"},{"name":"Śubha","start":"22:21","end":"23:16","startHours":22.346566315887475,"endHours":23.259944101748424,"quality":"auspicious"},{"name":"Roga","start":"23:16","end":"00:10","startHours":23.259944101748424,"endHours":24.17332188760937,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:05","startHours":24.17332188760937,"endHours":25.086699673470314,"quality":"inauspicious"},{"name":"Chala","start":"01:05","end":"02:00","startHours":25.086699673470314,"endHours":26.000077459331262,"quality":"neutral"},{"name":"Labha","start":"02:00","end":"02:55","startHours":26.000077459331262,"endHours":26.91345524519221,"quality":"auspicious"},{"name":"Amṛta","start":"02:55","end":"03:50","startHours":26.91345524519221,"endHours":27.826833031053155,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:50","end":"04:50","startHours":3.826833031053157,"endHours":4.826833031053157,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"04:50","end":"05:50","startHours":4.826833031053157,"endHours":5.826833031053157,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"05:50","end":"06:50","startHours":5.826833031053157,"endHours":6.826833031053157,"planetary_lord":"Moon"},{"name":"Hora 4","start":"06:50","end":"07:50","startHours":6.826833031053157,"endHours":7.826833031053157,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"07:50","end":"08:50","startHours":7.826833031053157,"endHours":8.826833031053157,"planetary_lord":"Venus"},{"name":"Hora 6","start":"08:50","end":"09:50","startHours":8.826833031053157,"endHours":9.826833031053157,"planetary_lord":"Sun"},{"name":"Hora 7","start":"09:50","end":"10:50","startHours":9.826833031053157,"endHours":10.826833031053157,"planetary_lord":"Mars"},{"name":"Hora 8","start":"10:50","end":"11:50","startHours":10.826833031053157,"endHours":11.826833031053157,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"11:50","end":"12:50","startHours":11.826833031053157,"endHours":12.826833031053157,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"12:50","end":"13:50","startHours":12.826833031053157,"endHours":13.826833031053157,"planetary_lord":"Moon"},{"name":"Hora 11","start":"13:50","end":"14:50","startHours":13.826833031053157,"endHours":14.826833031053157,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"14:50","end":"15:50","startHours":14.826833031053157,"endHours":15.826833031053157,"planetary_lord":"Venus"},{"name":"Hora 13","start":"15:50","end":"16:50","startHours":15.826833031053157,"endHours":16.826833031053155,"planetary_lord":"Sun"},{"name":"Hora 14","start":"16:50","end":"17:50","startHours":16.826833031053155,"endHours":17.826833031053155,"planetary_lord":"Mars"},{"name":"Hora 15","start":"17:50","end":"18:50","startHours":17.826833031053155,"endHours":18.826833031053155,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"18:50","end":"19:50","startHours":18.826833031053155,"endHours":19.826833031053155,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"19:50","end":"20:50","startHours":19.826833031053155,"endHours":20.826833031053155,"planetary_lord":"Moon"},{"name":"Hora 18","start":"20:50","end":"21:50","startHours":20.826833031053155,"endHours":21.826833031053155,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"21:50","end":"22:50","startHours":21.826833031053155,"endHours":22.826833031053155,"planetary_lord":"Venus"},{"name":"Hora 20","start":"22:50","end":"23:50","startHours":22.826833031053155,"endHours":23.826833031053155,"planetary_lord":"Sun"},{"name":"Hora 21","start":"23:50","end":"00:50","startHours":23.826833031053155,"endHours":24.826833031053155,"planetary_lord":"Mars"},{"name":"Hora 22","start":"00:50","end":"01:50","startHours":24.826833031053155,"endHours":25.826833031053155,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"01:50","end":"02:50","startHours":25.826833031053155,"endHours":26.826833031053155,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"02:50","end":"03:50","startHours":26.826833031053155,"endHours":27.826833031053155,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.88355563362285,"eotMinutes":-4.019313256562166,"ayanamsa":23.413}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"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":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Navamī · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 4, 1968 CE · Berlin, Germany · Vidhyamitra","description":"July 4, 1968 CE for Berlin, Germany: Śukla Navamī, sūryodaya 03:50, sūryāsta 20:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/1968-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/1968-07-04","sa":"https://sa.vidhyamitra.com/city/berlin/1968-07-04","hi":"https://hi.vidhyamitra.com/city/berlin/1968-07-04","x-default":"https://vidhyamitra.com/city/berlin/1968-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:26:27.055Z","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":"2026-06-01T10:26:27.055Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:26:27.055Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}