{"id":"vidhyamitra:city-day:berlin:2168-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2168-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-08-01","date_display":"August 1, 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":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513118.770833,"kali_year":5270,"ahargana":1924653.2708,"sun":{"sidereal_longitude":102.3579,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":68.178,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.8201,"elapsed_within_tithi_degrees":1.8201},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.178,"elapsed_within_degrees":1.5113},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.5359},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513118.770833,"ahargana":1924653.2708,"kali_year":5270,"ayanamsa_lahiri":26.208,"grahas":{"sun":{"sidereal_longitude":103.28944000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":67.00904000000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-1.1203},"mars":{"sidereal_longitude":155.34353999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":127.91904,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":91.56024000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":126.99153999999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":281.4211399999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":82.6076,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":262.6076,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"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":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513118.770833,"kali_year":5270,"ahargana":1924653.2708,"sun":{"sidereal_longitude":102.3579,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":68.178,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.8201,"elapsed_within_tithi_degrees":1.8201},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.178,"elapsed_within_degrees":1.5113},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.5359},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.12,"elongation":34.18},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.12,"opposition_distance":145.82}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":-0.538,"opposition_distance":0.859}]},"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":"04:27","sunsetLocal":"19:58","solarNoonLocal":"12:12","dayLengthHours":15.528785150821271,"dayLengthDisplay":"15 Hours 31 Mins 44 Secs","nightLengthDisplay":"8 Hours 28 Mins 16 Secs","moonriseLocal":"01:25","moonsetLocal":"18:10","rahuKala":{"name":"Rāhu Kāla","start":"06:23","end":"08:19","startHours":6.3833333995538615,"endHours":8.32443154340652,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:16","end":"12:12","startHours":10.265529687259178,"endHours":12.206627831111838,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:09","end":"16:05","startHours":14.147725974964498,"endHours":16.088824118817158,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:04","end":"08:35","startHours":8.065618457559498,"endHours":8.583244629253542,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:05","end":"05:30","startHours":5.0892679703187556,"endHours":5.503368907673989,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:43","startHours":11.689001659417796,"endHours":12.72425400280588,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:22","end":"03:24","startHours":2.371730568925033,"endHours":3.4069829123131177,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:09","end":"04:27","startHours":3.1481698264660967,"endHours":4.442235255701203,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:50","startHours":14.79475868958205,"endHours":15.830011032970134,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:46","end":"20:10","startHours":19.771020406522474,"endHours":20.171020406522473,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:58","end":"20:37","startHours":19.971020406522474,"endHours":20.618053121140026,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:43","end":"21:28","startHours":19.721020406522474,"endHours":21.471020406522474,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:43","startHours":23.689001659417794,"endHours":24.724254002805882,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:27","end":"06:23","startHours":4.442235255701203,"endHours":6.3833333995538615,"quality":"auspicious"},{"name":"Kāla","start":"06:23","end":"08:19","startHours":6.3833333995538615,"endHours":8.32443154340652,"quality":"inauspicious"},{"name":"Śubha","start":"08:19","end":"10:16","startHours":8.32443154340652,"endHours":10.265529687259178,"quality":"auspicious"},{"name":"Roga","start":"10:16","end":"12:12","startHours":10.265529687259178,"endHours":12.206627831111838,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"14:09","startHours":12.206627831111838,"endHours":14.147725974964498,"quality":"inauspicious"},{"name":"Chala","start":"14:09","end":"16:05","startHours":14.147725974964498,"endHours":16.088824118817158,"quality":"neutral"},{"name":"Labha","start":"16:05","end":"18:02","startHours":16.088824118817158,"endHours":18.029922262669814,"quality":"auspicious"},{"name":"Amṛta","start":"18:02","end":"19:58","startHours":18.029922262669814,"endHours":19.971020406522474,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:58","end":"21:02","startHours":19.971020406522474,"endHours":21.029922262669814,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:05","startHours":21.029922262669814,"endHours":22.088824118817158,"quality":"auspicious"},{"name":"Amṛta","start":"22:05","end":"23:09","startHours":22.088824118817158,"endHours":23.147725974964498,"quality":"auspicious"},{"name":"Kāla","start":"23:09","end":"00:12","startHours":23.147725974964498,"endHours":24.206627831111838,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:16","startHours":24.206627831111838,"endHours":25.26552968725918,"quality":"auspicious"},{"name":"Roga","start":"01:16","end":"02:19","startHours":25.26552968725918,"endHours":26.32443154340652,"quality":"inauspicious"},{"name":"Udveg","start":"02:19","end":"03:23","startHours":26.32443154340652,"endHours":27.383333399553862,"quality":"inauspicious"},{"name":"Chala","start":"03:23","end":"04:27","startHours":27.383333399553862,"endHours":28.442235255701203,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:27","end":"05:27","startHours":4.442235255701203,"endHours":5.442235255701203,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:27","end":"06:27","startHours":5.442235255701203,"endHours":6.442235255701203,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:27","end":"07:27","startHours":6.442235255701203,"endHours":7.442235255701203,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:27","end":"08:27","startHours":7.442235255701203,"endHours":8.442235255701203,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:27","end":"09:27","startHours":8.442235255701203,"endHours":9.442235255701203,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:27","end":"10:27","startHours":9.442235255701203,"endHours":10.442235255701203,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:27","end":"11:27","startHours":10.442235255701203,"endHours":11.442235255701203,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:27","end":"12:27","startHours":11.442235255701203,"endHours":12.442235255701203,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:27","end":"13:27","startHours":12.442235255701203,"endHours":13.442235255701203,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:27","end":"14:27","startHours":13.442235255701203,"endHours":14.442235255701203,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:27","end":"15:27","startHours":14.442235255701203,"endHours":15.442235255701203,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:27","end":"16:27","startHours":15.442235255701203,"endHours":16.442235255701203,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:27","end":"17:27","startHours":16.442235255701203,"endHours":17.442235255701203,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:27","end":"18:27","startHours":17.442235255701203,"endHours":18.442235255701203,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:27","end":"19:27","startHours":18.442235255701203,"endHours":19.442235255701203,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:27","end":"20:27","startHours":19.442235255701203,"endHours":20.442235255701203,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:27","end":"21:27","startHours":20.442235255701203,"endHours":21.442235255701203,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:27","end":"22:27","startHours":21.442235255701203,"endHours":22.442235255701203,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:27","end":"23:27","startHours":22.442235255701203,"endHours":23.442235255701203,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:27","end":"00:27","startHours":23.442235255701203,"endHours":24.442235255701203,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:27","end":"01:27","startHours":24.442235255701203,"endHours":25.442235255701203,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:27","end":"02:27","startHours":25.442235255701203,"endHours":26.442235255701203,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:27","end":"03:27","startHours":26.442235255701203,"endHours":27.442235255701203,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:27","end":"04:27","startHours":27.442235255701203,"endHours":28.442235255701203,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.873198218665507,"eotMinutes":-6.017669866710306,"ayanamsa":26.208}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa 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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 August 1, 2168 CE · Berlin, Germany · Vidhyamitra","description":"August 1, 2168 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 04:27, sūryāsta 19:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2168-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2168-08-01","sa":"https://sa.vidhyamitra.com/city/berlin/2168-08-01","hi":"https://hi.vidhyamitra.com/city/berlin/2168-08-01","x-default":"https://vidhyamitra.com/city/berlin/2168-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T10:30:53.995Z","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":"2026-06-03T10:30:53.995Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T10:30:53.995Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}