{"id":"vidhyamitra:city-day:berlin:2168-06-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2168-06-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-06-04","date_display":"June 4, 2168 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":2168,"month":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513060.770833,"kali_year":5270,"ahargana":1924595.2708,"sun":{"sidereal_longitude":47.3793,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":20.0956,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.7163,"elapsed_within_tithi_degrees":8.7163},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.0956,"elapsed_within_degrees":6.7622},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.4749},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2168,"month":6,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513060.770833,"ahargana":1924595.2708,"kali_year":5270,"ayanamsa_lahiri":26.2057,"grahas":{"sun":{"sidereal_longitude":47.91105600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":20.20115599999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-4.0969},"mars":{"sidereal_longitude":122.85415599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":23.148256000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":78.899656,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":56.19325600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":284.640756,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":85.6807,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.6807,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513060.770833,"kali_year":5270,"ahargana":1924595.2708,"sun":{"sidereal_longitude":47.3793,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":20.0956,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.7163,"elapsed_within_tithi_degrees":8.7163},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.0956,"elapsed_within_degrees":6.7622},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.4749},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.097,"elongation":27.284},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.097,"opposition_distance":152.716}},"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":"03:47","sunsetLocal":"20:22","solarNoonLocal":"12:04","dayLengthHours":16.594738997138556,"dayLengthDisplay":"16 Hours 35 Mins 41 Secs","nightLengthDisplay":"7 Hours 24 Mins 19 Secs","moonriseLocal":"02:37","moonsetLocal":"17:50","rahuKala":{"name":"Rāhu Kāla","start":"07:56","end":"10:00","startHours":7.926223363169003,"endHours":10.000565737811321,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:09","end":"16:13","startHours":14.149250487095962,"endHours":16.223592861738283,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"03:47","end":"05:51","startHours":3.7775386138843636,"endHours":5.851880988526683,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:39","end":"08:12","startHours":7.649644379883361,"endHours":8.202802346454646,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:28","end":"04:55","startHours":4.46898607209847,"endHours":4.911512445355498,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:38","startHours":11.521750145882356,"endHours":12.628066079024928,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:34","end":"02:40","startHours":1.5649067475992227,"endHours":2.671222680741793,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:24","end":"03:47","startHours":2.3946436974561505,"endHours":3.7775386138843636,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:50","end":"15:57","startHours":14.840697945310069,"endHours":15.947013878452639,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:10","end":"20:34","startHours":20.17227761102292,"endHours":20.57227761102292,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:22","end":"21:04","startHours":20.37227761102292,"endHours":21.063725069237027,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:07","end":"21:52","startHours":20.12227761102292,"endHours":21.87227761102292,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:38","startHours":23.521750145882358,"endHours":24.628066079024926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"03:47","end":"05:51","startHours":3.7775386138843636,"endHours":5.851880988526683,"quality":"inauspicious"},{"name":"Śubha","start":"05:51","end":"07:56","startHours":5.851880988526683,"endHours":7.926223363169003,"quality":"auspicious"},{"name":"Roga","start":"07:56","end":"10:00","startHours":7.926223363169003,"endHours":10.000565737811321,"quality":"inauspicious"},{"name":"Udveg","start":"10:00","end":"12:04","startHours":10.000565737811321,"endHours":12.074908112453642,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"14:09","startHours":12.074908112453642,"endHours":14.149250487095962,"quality":"neutral"},{"name":"Labha","start":"14:09","end":"16:13","startHours":14.149250487095962,"endHours":16.223592861738283,"quality":"auspicious"},{"name":"Amṛta","start":"16:13","end":"18:18","startHours":16.223592861738283,"endHours":18.2979352363806,"quality":"auspicious"},{"name":"Kāla","start":"18:18","end":"20:22","startHours":18.2979352363806,"endHours":20.37227761102292,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"20:22","end":"21:18","startHours":20.37227761102292,"endHours":21.2979352363806,"quality":"auspicious"},{"name":"Amṛta","start":"21:18","end":"22:13","startHours":21.2979352363806,"endHours":22.223592861738283,"quality":"auspicious"},{"name":"Kāla","start":"22:13","end":"23:09","startHours":22.223592861738283,"endHours":23.149250487095962,"quality":"inauspicious"},{"name":"Śubha","start":"23:09","end":"00:04","startHours":23.149250487095962,"endHours":24.07490811245364,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:00","startHours":24.07490811245364,"endHours":25.00056573781132,"quality":"inauspicious"},{"name":"Udveg","start":"01:00","end":"01:56","startHours":25.00056573781132,"endHours":25.926223363169,"quality":"inauspicious"},{"name":"Chala","start":"01:56","end":"02:51","startHours":25.926223363169,"endHours":26.851880988526684,"quality":"neutral"},{"name":"Labha","start":"02:51","end":"03:47","startHours":26.851880988526684,"endHours":27.777538613884364,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:47","end":"04:47","startHours":3.7775386138843636,"endHours":4.777538613884364,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"04:47","end":"05:47","startHours":4.777538613884364,"endHours":5.777538613884364,"planetary_lord":"Moon"},{"name":"Hora 3","start":"05:47","end":"06:47","startHours":5.777538613884364,"endHours":6.777538613884364,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"06:47","end":"07:47","startHours":6.777538613884364,"endHours":7.777538613884364,"planetary_lord":"Venus"},{"name":"Hora 5","start":"07:47","end":"08:47","startHours":7.777538613884364,"endHours":8.777538613884364,"planetary_lord":"Sun"},{"name":"Hora 6","start":"08:47","end":"09:47","startHours":8.777538613884364,"endHours":9.777538613884364,"planetary_lord":"Mars"},{"name":"Hora 7","start":"09:47","end":"10:47","startHours":9.777538613884364,"endHours":10.777538613884364,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"10:47","end":"11:47","startHours":10.777538613884364,"endHours":11.777538613884364,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"11:47","end":"12:47","startHours":11.777538613884364,"endHours":12.777538613884364,"planetary_lord":"Moon"},{"name":"Hora 10","start":"12:47","end":"13:47","startHours":12.777538613884364,"endHours":13.777538613884364,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"13:47","end":"14:47","startHours":13.777538613884364,"endHours":14.777538613884364,"planetary_lord":"Venus"},{"name":"Hora 12","start":"14:47","end":"15:47","startHours":14.777538613884364,"endHours":15.777538613884364,"planetary_lord":"Sun"},{"name":"Hora 13","start":"15:47","end":"16:47","startHours":15.777538613884364,"endHours":16.777538613884364,"planetary_lord":"Mars"},{"name":"Hora 14","start":"16:47","end":"17:47","startHours":16.777538613884364,"endHours":17.777538613884364,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"17:47","end":"18:47","startHours":17.777538613884364,"endHours":18.777538613884364,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"18:47","end":"19:47","startHours":18.777538613884364,"endHours":19.777538613884364,"planetary_lord":"Moon"},{"name":"Hora 17","start":"19:47","end":"20:47","startHours":19.777538613884364,"endHours":20.777538613884364,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"20:47","end":"21:47","startHours":20.777538613884364,"endHours":21.777538613884364,"planetary_lord":"Venus"},{"name":"Hora 19","start":"21:47","end":"22:47","startHours":21.777538613884364,"endHours":22.777538613884364,"planetary_lord":"Sun"},{"name":"Hora 20","start":"22:47","end":"23:47","startHours":22.777538613884364,"endHours":23.777538613884364,"planetary_lord":"Mars"},{"name":"Hora 21","start":"23:47","end":"00:47","startHours":23.777538613884364,"endHours":24.777538613884364,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"00:47","end":"01:47","startHours":24.777538613884364,"endHours":25.777538613884364,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"01:47","end":"02:47","startHours":25.777538613884364,"endHours":26.777538613884364,"planetary_lord":"Moon"},{"name":"Hora 24","start":"02:47","end":"03:47","startHours":26.777538613884364,"endHours":27.777538613884364,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.4915756317587,"eotMinutes":1.88551325278147,"ayanamsa":26.2057}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"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":"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":[]},"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 June 4, 2168 CE · Berlin, Germany · Vidhyamitra","description":"June 4, 2168 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 03:47, sūryāsta 20:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2168-06-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2168-06-04","sa":"https://sa.vidhyamitra.com/city/berlin/2168-06-04","hi":"https://hi.vidhyamitra.com/city/berlin/2168-06-04","x-default":"https://vidhyamitra.com/city/berlin/2168-06-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T22:32:39.338Z","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":"2026-06-02T22:32:39.338Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T22:32:39.338Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}