{"id":"vidhyamitra:city-day:berlin:2168-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2168-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-10-01","date_display":"October 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":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513179.770833,"kali_year":5270,"ahargana":1924714.2708,"sun":{"sidereal_longitude":161.1371,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":158.7127,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.5757,"elapsed_within_tithi_degrees":9.5757},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.7127,"elapsed_within_degrees":12.0461},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.8498},"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":2168,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513179.770833,"ahargana":1924714.2708,"kali_year":5270,"ayanamsa_lahiri":26.2103,"grahas":{"sun":{"sidereal_longitude":162.292009,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":157.98660900000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":4.4221},"mars":{"sidereal_longitude":194.81680900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":149.09150899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":103.79210899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":200.07490899999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.218609,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":79.3756,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.3756,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513179.770833,"kali_year":5270,"ahargana":1924714.2708,"sun":{"sidereal_longitude":161.1371,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":158.7127,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.5757,"elapsed_within_tithi_degrees":9.5757},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.7127,"elapsed_within_degrees":12.0461},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.8498},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.422,"elongation":2.424},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.422,"opposition_distance":177.576}},"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":"06:07","sunsetLocal":"17:43","solarNoonLocal":"11:55","dayLengthHours":11.595760660569788,"dayLengthDisplay":"11 Hours 35 Mins 45 Secs","nightLengthDisplay":"12 Hours 24 Mins 15 Secs","moonriseLocal":"05:43","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:28","startHours":9.021263765081146,"endHours":10.470733847652369,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:22","end":"14:49","startHours":13.369674012794817,"endHours":14.81914409536604,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:07","end":"07:34","startHours":6.122323599938699,"endHours":7.571793682509923,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:13","startHours":8.828001087404983,"endHours":9.21452644275731,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:55","startHours":6.605480294129107,"endHours":6.914700578410968,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:18","startHours":11.533678574871267,"endHours":12.30672928557592,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:21","startHours":4.576222178529394,"endHours":5.349272889234047,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:07","startHours":5.156010211557883,"endHours":6.122323599938699,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:38","startHours":13.852830706985223,"endHours":14.625881417689875,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.518084260508488,"endHours":17.918084260508486,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:12","startHours":17.718084260508487,"endHours":18.201240954698896,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.468084260508487,"endHours":19.218084260508487,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:18","startHours":23.533678574871267,"endHours":24.30672928557592,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:07","end":"07:34","startHours":6.122323599938699,"endHours":7.571793682509923,"quality":"inauspicious"},{"name":"Śubha","start":"07:34","end":"09:01","startHours":7.571793682509923,"endHours":9.021263765081146,"quality":"auspicious"},{"name":"Roga","start":"09:01","end":"10:28","startHours":9.021263765081146,"endHours":10.470733847652369,"quality":"inauspicious"},{"name":"Udveg","start":"10:28","end":"11:55","startHours":10.470733847652369,"endHours":11.920203930223593,"quality":"inauspicious"},{"name":"Chala","start":"11:55","end":"13:22","startHours":11.920203930223593,"endHours":13.369674012794817,"quality":"neutral"},{"name":"Labha","start":"13:22","end":"14:49","startHours":13.369674012794817,"endHours":14.81914409536604,"quality":"auspicious"},{"name":"Amṛta","start":"14:49","end":"16:16","startHours":14.81914409536604,"endHours":16.268614177937263,"quality":"auspicious"},{"name":"Kāla","start":"16:16","end":"17:43","startHours":16.268614177937263,"endHours":17.718084260508487,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:43","end":"19:16","startHours":17.718084260508487,"endHours":19.268614177937263,"quality":"auspicious"},{"name":"Amṛta","start":"19:16","end":"20:49","startHours":19.268614177937263,"endHours":20.819144095366042,"quality":"auspicious"},{"name":"Kāla","start":"20:49","end":"22:22","startHours":20.819144095366042,"endHours":22.369674012794817,"quality":"inauspicious"},{"name":"Śubha","start":"22:22","end":"23:55","startHours":22.369674012794817,"endHours":23.920203930223593,"quality":"auspicious"},{"name":"Roga","start":"23:55","end":"01:28","startHours":23.920203930223593,"endHours":25.47073384765237,"quality":"inauspicious"},{"name":"Udveg","start":"01:28","end":"03:01","startHours":25.47073384765237,"endHours":27.021263765081144,"quality":"inauspicious"},{"name":"Chala","start":"03:01","end":"04:34","startHours":27.021263765081144,"endHours":28.571793682509924,"quality":"neutral"},{"name":"Labha","start":"04:34","end":"06:07","startHours":28.571793682509924,"endHours":30.1223235999387,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:07","end":"07:07","startHours":6.122323599938699,"endHours":7.122323599938699,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:07","end":"08:07","startHours":7.122323599938699,"endHours":8.1223235999387,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:07","end":"09:07","startHours":8.1223235999387,"endHours":9.1223235999387,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:07","end":"10:07","startHours":9.1223235999387,"endHours":10.1223235999387,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:07","end":"11:07","startHours":10.1223235999387,"endHours":11.1223235999387,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:07","end":"12:07","startHours":11.1223235999387,"endHours":12.1223235999387,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:07","end":"13:07","startHours":12.1223235999387,"endHours":13.1223235999387,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:07","end":"14:07","startHours":13.1223235999387,"endHours":14.1223235999387,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:07","end":"15:07","startHours":14.1223235999387,"endHours":15.1223235999387,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:07","end":"16:07","startHours":15.1223235999387,"endHours":16.1223235999387,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:07","end":"17:07","startHours":16.1223235999387,"endHours":17.1223235999387,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:07","end":"18:07","startHours":17.1223235999387,"endHours":18.1223235999387,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:07","end":"19:07","startHours":18.1223235999387,"endHours":19.1223235999387,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:07","end":"20:07","startHours":19.1223235999387,"endHours":20.1223235999387,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:07","end":"21:07","startHours":20.1223235999387,"endHours":21.1223235999387,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:07","end":"22:07","startHours":21.1223235999387,"endHours":22.1223235999387,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:07","end":"23:07","startHours":22.1223235999387,"endHours":23.1223235999387,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:07","end":"00:07","startHours":23.1223235999387,"endHours":24.1223235999387,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:07","end":"01:07","startHours":24.1223235999387,"endHours":25.1223235999387,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:07","end":"02:07","startHours":25.1223235999387,"endHours":26.1223235999387,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:07","end":"03:07","startHours":26.1223235999387,"endHours":27.1223235999387,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:07","end":"04:07","startHours":27.1223235999387,"endHours":28.1223235999387,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:07","end":"05:07","startHours":28.1223235999387,"endHours":29.1223235999387,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:07","end":"06:07","startHours":29.1223235999387,"endHours":30.1223235999387,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.371191804328595,"eotMinutes":11.167764186584405,"ayanamsa":26.2103}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Amāvasyā · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":1}],"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 October 1, 2168 CE · Berlin, Germany · Vidhyamitra","description":"October 1, 2168 CE for Berlin, Germany: Kṛṣṇa Amāvasyā, sūryodaya 06:07, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2168-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2168-10-01","sa":"https://sa.vidhyamitra.com/city/berlin/2168-10-01","hi":"https://hi.vidhyamitra.com/city/berlin/2168-10-01","x-default":"https://vidhyamitra.com/city/berlin/2168-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:44:03.806Z","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":"2026-06-02T19:44:03.806Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:44:03.806Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}