{"id":"vidhyamitra:city-day:berlin:2013-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2013-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-12-01","date_display":"December 1, 2013 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":2013,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456627.770833,"kali_year":5115,"ahargana":1868162.2708,"sun":{"sidereal_longitude":224.417,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":197.877,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.4599,"elapsed_within_tithi_degrees":9.4599},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.877,"elapsed_within_degrees":11.2103},"yoga":{"number":5,"name":"Śobhana","sum_longitude":62.294},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2013,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456627.770833,"ahargana":1868162.2708,"kali_year":5115,"ayanamsa_lahiri":24.0474,"grahas":{"sun":{"sidereal_longitude":224.951911,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":198.23761100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":0.1651},"mars":{"sidereal_longitude":152.19341099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":209.48751100000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":84.90851099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":267.27501099999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":202.82491100000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":195.7727,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.7727,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456627.770833,"kali_year":5115,"ahargana":1868162.2708,"sun":{"sidereal_longitude":224.417,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":197.877,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.4599,"elapsed_within_tithi_degrees":9.4599},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.877,"elapsed_within_degrees":11.2103},"yoga":{"number":5,"name":"Śobhana","sum_longitude":62.294},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.165,"elongation":26.54},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.165,"opposition_distance":153.46}},"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":"07:55","sunsetLocal":"15:57","solarNoonLocal":"11:56","dayLengthHours":8.036914401945367,"dayLengthDisplay":"8 Hours 02 Mins 13 Secs","nightLengthDisplay":"15 Hours 57 Mins 47 Secs","moonriseLocal":"05:30","moonsetLocal":"14:49","rahuKala":{"name":"Rāhu Kāla","start":"14:57","end":"15:57","startHours":14.951325390722836,"endHours":15.955939690966009,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:56","end":"12:57","startHours":11.937482489993325,"endHours":12.942096790236494,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"14:57","startHours":13.946711090479667,"endHours":14.951325390722836,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:48","end":"10:04","startHours":9.794305316141227,"endHours":10.062202462872738,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:15","end":"08:28","startHours":8.25389672243503,"endHours":8.46821443982024,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:12","startHours":11.669585343261813,"endHours":12.205379636724837,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:51","end":"07:23","startHours":6.847436702094592,"endHours":7.383230995557616,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:15","end":"07:55","startHours":7.24928242219186,"endHours":7.919025289020641,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:17","end":"13:49","startHours":13.276968223650886,"endHours":13.81276251711391,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:45","end":"16:09","startHours":15.75593969096601,"endHours":16.155939690966008,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:57","end":"16:17","startHours":15.955939690966009,"endHours":16.290811124380397,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:42","end":"17:27","startHours":15.705939690966009,"endHours":17.45593969096601,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:12","startHours":23.66958534326181,"endHours":24.20537963672484,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:55","end":"08:55","startHours":7.919025289020641,"endHours":8.92363958926381,"quality":"inauspicious"},{"name":"Chala","start":"08:55","end":"09:56","startHours":8.92363958926381,"endHours":9.928253889506983,"quality":"neutral"},{"name":"Labha","start":"09:56","end":"10:56","startHours":9.928253889506983,"endHours":10.932868189750153,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"11:56","startHours":10.932868189750153,"endHours":11.937482489993325,"quality":"auspicious"},{"name":"Kāla","start":"11:56","end":"12:57","startHours":11.937482489993325,"endHours":12.942096790236494,"quality":"inauspicious"},{"name":"Śubha","start":"12:57","end":"13:57","startHours":12.942096790236494,"endHours":13.946711090479667,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"14:57","startHours":13.946711090479667,"endHours":14.951325390722836,"quality":"inauspicious"},{"name":"Udveg","start":"14:57","end":"15:57","startHours":14.951325390722836,"endHours":15.955939690966009,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"15:57","end":"17:57","startHours":15.955939690966009,"endHours":17.951325390722836,"quality":"auspicious"},{"name":"Roga","start":"17:57","end":"19:57","startHours":17.951325390722836,"endHours":19.946711090479667,"quality":"inauspicious"},{"name":"Udveg","start":"19:57","end":"21:57","startHours":19.946711090479667,"endHours":21.942096790236498,"quality":"inauspicious"},{"name":"Chala","start":"21:57","end":"23:56","startHours":21.942096790236498,"endHours":23.937482489993325,"quality":"neutral"},{"name":"Labha","start":"23:56","end":"01:56","startHours":23.937482489993325,"endHours":25.932868189750153,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:56","startHours":25.932868189750153,"endHours":27.928253889506983,"quality":"auspicious"},{"name":"Kāla","start":"03:56","end":"05:55","startHours":27.928253889506983,"endHours":29.923639589263814,"quality":"inauspicious"},{"name":"Śubha","start":"05:55","end":"07:55","startHours":29.923639589263814,"endHours":31.91902528902064,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:55","end":"08:55","startHours":7.919025289020641,"endHours":8.919025289020642,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:55","end":"09:55","startHours":8.919025289020642,"endHours":9.919025289020642,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:55","end":"10:55","startHours":9.919025289020642,"endHours":10.919025289020642,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:55","end":"11:55","startHours":10.919025289020642,"endHours":11.919025289020642,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:55","end":"12:55","startHours":11.919025289020642,"endHours":12.919025289020642,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:55","end":"13:55","startHours":12.919025289020642,"endHours":13.919025289020642,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:55","end":"14:55","startHours":13.919025289020642,"endHours":14.919025289020642,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:55","end":"15:55","startHours":14.919025289020642,"endHours":15.919025289020642,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:55","end":"16:55","startHours":15.919025289020642,"endHours":16.91902528902064,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:55","end":"17:55","startHours":16.91902528902064,"endHours":17.91902528902064,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:55","end":"18:55","startHours":17.91902528902064,"endHours":18.91902528902064,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:55","end":"19:55","startHours":18.91902528902064,"endHours":19.91902528902064,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:55","end":"20:55","startHours":19.91902528902064,"endHours":20.91902528902064,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:55","end":"21:55","startHours":20.91902528902064,"endHours":21.91902528902064,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:55","end":"22:55","startHours":21.91902528902064,"endHours":22.91902528902064,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:55","end":"23:55","startHours":22.91902528902064,"endHours":23.91902528902064,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:55","end":"00:55","startHours":23.91902528902064,"endHours":24.91902528902064,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:55","end":"01:55","startHours":24.91902528902064,"endHours":25.91902528902064,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:55","end":"02:55","startHours":25.91902528902064,"endHours":26.91902528902064,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:55","end":"03:55","startHours":26.91902528902064,"endHours":27.91902528902064,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:55","end":"04:55","startHours":27.91902528902064,"endHours":28.91902528902064,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:55","end":"05:55","startHours":28.91902528902064,"endHours":29.91902528902064,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:55","end":"06:55","startHours":29.91902528902064,"endHours":30.91902528902064,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:55","end":"07:55","startHours":30.91902528902064,"endHours":31.91902528902064,"planetary_lord":"Jupiter"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.79664870187134,"eotMinutes":10.131050600400467,"ayanamsa":24.0474}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Trayodaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 December 1, 2013 CE · Berlin, Germany · Vidhyamitra","description":"December 1, 2013 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 07:55, sūryāsta 15:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2013-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2013-12-01","sa":"https://sa.vidhyamitra.com/city/berlin/2013-12-01","hi":"https://hi.vidhyamitra.com/city/berlin/2013-12-01","x-default":"https://vidhyamitra.com/city/berlin/2013-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:52:17.060Z","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":"2026-06-01T20:52:17.060Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:52:17.060Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}