{"id":"vidhyamitra:city-day:berlin:2001-11-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2001-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-11-13","date_display":"November 13, 2001 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":2001,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452226.770833,"kali_year":5103,"ahargana":1863761.2708,"sun":{"sidereal_longitude":206.22,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":178.4779,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.258,"elapsed_within_tithi_degrees":8.258},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.4779,"elapsed_within_degrees":5.1446},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.6979},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2001,"month":11,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452226.770833,"ahargana":1863761.2708,"kali_year":5103,"ayanamsa_lahiri":23.8791,"grahas":{"sun":{"sidereal_longitude":206.84806200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":177.27376200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":4.2409},"mars":{"sidereal_longitude":287.49016200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":194.16266199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":81.53466200000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":191.73686199999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":49.12776200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":68.9588,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.9588,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2001,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452226.770833,"kali_year":5103,"ahargana":1863761.2708,"sun":{"sidereal_longitude":206.22,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":178.4779,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.258,"elapsed_within_tithi_degrees":8.258},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.4779,"elapsed_within_degrees":5.1446},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.6979},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.241,"elongation":27.742},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.241,"opposition_distance":152.258}},"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":"07:25","sunsetLocal":"16:18","solarNoonLocal":"11:51","dayLengthHours":8.881678756628233,"dayLengthDisplay":"8 Hours 52 Mins 54 Secs","nightLengthDisplay":"15 Hours 07 Mins 06 Secs","moonriseLocal":"04:32","moonsetLocal":"15:13","rahuKala":{"name":"Rāhu Kāla","start":"14:04","end":"15:11","startHours":14.072423008916093,"endHours":15.182632853494624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:38","end":"10:45","startHours":9.631583630601977,"endHours":10.741793475180508,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:51","end":"12:58","startHours":11.852003319759035,"endHours":12.962213164337566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:47","startHours":9.48355565132484,"endHours":9.779611609879115,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:47","end":"08:01","startHours":7.781233889637763,"endHours":8.018078656481183,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:09","startHours":11.55594736120476,"endHours":12.14805927831331,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:14","end":"06:49","startHours":6.226940107227822,"endHours":6.81905202433637,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:25","startHours":6.671024045059234,"endHours":7.4111639414449195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:20","end":"13:55","startHours":13.332283112530408,"endHours":13.924395029638957,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:06","end":"16:30","startHours":16.092842698073152,"endHours":16.49284269807315,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:18","end":"16:40","startHours":16.29284269807315,"endHours":16.662912646265994,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:03","end":"17:48","startHours":16.04284269807315,"endHours":17.79284269807315,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:09","startHours":23.555947361204762,"endHours":24.14805927831331,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:25","end":"08:31","startHours":7.4111639414449195,"endHours":8.52137378602345,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:38","startHours":8.52137378602345,"endHours":9.631583630601977,"quality":"inauspicious"},{"name":"Chala","start":"09:38","end":"10:45","startHours":9.631583630601977,"endHours":10.741793475180508,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"11:51","startHours":10.741793475180508,"endHours":11.852003319759035,"quality":"auspicious"},{"name":"Amṛta","start":"11:51","end":"12:58","startHours":11.852003319759035,"endHours":12.962213164337566,"quality":"auspicious"},{"name":"Kāla","start":"12:58","end":"14:04","startHours":12.962213164337566,"endHours":14.072423008916093,"quality":"inauspicious"},{"name":"Śubha","start":"14:04","end":"15:11","startHours":14.072423008916093,"endHours":15.182632853494624,"quality":"auspicious"},{"name":"Roga","start":"15:11","end":"16:18","startHours":15.182632853494624,"endHours":16.29284269807315,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:18","end":"18:11","startHours":16.29284269807315,"endHours":18.182632853494624,"quality":"inauspicious"},{"name":"Śubha","start":"18:11","end":"20:04","startHours":18.182632853494624,"endHours":20.072423008916093,"quality":"auspicious"},{"name":"Roga","start":"20:04","end":"21:58","startHours":20.072423008916093,"endHours":21.962213164337562,"quality":"inauspicious"},{"name":"Udveg","start":"21:58","end":"23:51","startHours":21.962213164337562,"endHours":23.852003319759035,"quality":"inauspicious"},{"name":"Chala","start":"23:51","end":"01:45","startHours":23.852003319759035,"endHours":25.741793475180508,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:38","startHours":25.741793475180508,"endHours":27.631583630601977,"quality":"auspicious"},{"name":"Amṛta","start":"03:38","end":"05:31","startHours":27.631583630601977,"endHours":29.521373786023446,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:25","startHours":29.521373786023446,"endHours":31.41116394144492,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:25","end":"08:25","startHours":7.4111639414449195,"endHours":8.411163941444919,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:25","end":"09:25","startHours":8.411163941444919,"endHours":9.411163941444919,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:25","end":"10:25","startHours":9.411163941444919,"endHours":10.411163941444919,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:25","end":"11:25","startHours":10.411163941444919,"endHours":11.411163941444919,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:25","end":"12:25","startHours":11.411163941444919,"endHours":12.411163941444919,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:25","end":"13:25","startHours":12.411163941444919,"endHours":13.411163941444919,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:25","end":"14:25","startHours":13.411163941444919,"endHours":14.411163941444919,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:25","end":"15:25","startHours":14.411163941444919,"endHours":15.411163941444919,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:25","end":"16:25","startHours":15.411163941444919,"endHours":16.41116394144492,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:25","end":"17:25","startHours":16.41116394144492,"endHours":17.41116394144492,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:25","end":"18:25","startHours":17.41116394144492,"endHours":18.41116394144492,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:25","end":"19:25","startHours":18.41116394144492,"endHours":19.41116394144492,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:25","end":"20:25","startHours":19.41116394144492,"endHours":20.41116394144492,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:25","end":"21:25","startHours":20.41116394144492,"endHours":21.41116394144492,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:25","end":"22:25","startHours":21.41116394144492,"endHours":22.41116394144492,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:25","end":"23:25","startHours":22.41116394144492,"endHours":23.41116394144492,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:25","end":"00:25","startHours":23.41116394144492,"endHours":24.41116394144492,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:25","end":"01:25","startHours":24.41116394144492,"endHours":25.41116394144492,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:25","end":"02:25","startHours":25.41116394144492,"endHours":26.41116394144492,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:25","end":"03:25","startHours":26.41116394144492,"endHours":27.41116394144492,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:25","end":"04:25","startHours":27.41116394144492,"endHours":28.41116394144492,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:25","end":"05:25","startHours":28.41116394144492,"endHours":29.41116394144492,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:25","end":"06:25","startHours":29.41116394144492,"endHours":30.41116394144492,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:25","end":"07:25","startHours":30.41116394144492,"endHours":31.41116394144492,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.932766082378354,"eotMinutes":15.25980081445791,"ayanamsa":23.8791}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Trayodaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"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":[]},"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 November 13, 2001 CE · Berlin, Germany · Vidhyamitra","description":"November 13, 2001 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 07:25, sūryāsta 16:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2001-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2001-11-13","sa":"https://sa.vidhyamitra.com/city/berlin/2001-11-13","hi":"https://hi.vidhyamitra.com/city/berlin/2001-11-13","x-default":"https://vidhyamitra.com/city/berlin/2001-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:44:56.362Z","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":"2026-05-31T17:44:56.362Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:44:56.362Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}