{"id":"vidhyamitra:city-day:berlin:2000-11-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2000-11-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-11-21","date_display":"November 21, 2000 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":2000,"month":11,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451869.770833,"kali_year":5102,"ahargana":1863404.2708,"sun":{"sidereal_longitude":214.5977,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":154.4715,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.8737,"elapsed_within_tithi_degrees":11.8737},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.4715,"elapsed_within_degrees":7.8048},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.0692},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"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":2000,"month":11,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451869.770833,"ahargana":1863404.2708,"kali_year":5102,"ayanamsa_lahiri":23.8654,"grahas":{"sun":{"sidereal_longitude":215.171602,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":155.83040200000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":4.1291},"mars":{"sidereal_longitude":166.49930199999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":197.019002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":43.209902,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":255.65590199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":33.40460200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":87.8744,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":267.8744,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2000,"month":11,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451869.770833,"kali_year":5102,"ahargana":1863404.2708,"sun":{"sidereal_longitude":214.5977,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":154.4715,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.8737,"elapsed_within_tithi_degrees":11.8737},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.4715,"elapsed_within_degrees":7.8048},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.0692},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.129,"elongation":60.126},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.129,"opposition_distance":119.874}},"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":"07:39","sunsetLocal":"16:07","solarNoonLocal":"11:53","dayLengthHours":8.453438780727641,"dayLengthDisplay":"8 Hours 27 Mins 12 Secs","nightLengthDisplay":"15 Hours 32 Mins 48 Secs","moonriseLocal":"01:51","moonsetLocal":"14:00","rahuKala":{"name":"Rāhu Kāla","start":"14:00","end":"15:03","startHours":13.995865775986818,"endHours":15.052545623577773,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:46","end":"10:50","startHours":9.769146385622996,"endHours":10.825826233213952,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"12:56","startHours":11.882506080804907,"endHours":12.939185928395862,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:55","startHours":9.628255739277536,"endHours":9.910037031968457,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:00","end":"08:14","startHours":8.008013306304738,"endHours":8.233438340457475,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:10","startHours":11.600724788113986,"endHours":12.164287373495828,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:32","end":"07:06","startHours":6.528661519677401,"endHours":7.092224105059244,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:57","end":"07:39","startHours":6.951333458713783,"endHours":7.6557866904410865,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:17","end":"13:51","startHours":13.291412544259515,"endHours":13.854975129641359,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:55","end":"16:19","startHours":15.909225471168728,"endHours":16.309225471168727,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:07","end":"16:28","startHours":16.109225471168727,"endHours":16.46145208703238,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:52","end":"17:37","startHours":15.859225471168727,"endHours":17.609225471168727,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:10","startHours":23.600724788113986,"endHours":24.16428737349583,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:39","end":"08:43","startHours":7.6557866904410865,"endHours":8.712466538032041,"quality":"inauspicious"},{"name":"Udveg","start":"08:43","end":"09:46","startHours":8.712466538032041,"endHours":9.769146385622996,"quality":"inauspicious"},{"name":"Chala","start":"09:46","end":"10:50","startHours":9.769146385622996,"endHours":10.825826233213952,"quality":"neutral"},{"name":"Labha","start":"10:50","end":"11:53","startHours":10.825826233213952,"endHours":11.882506080804907,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"12:56","startHours":11.882506080804907,"endHours":12.939185928395862,"quality":"auspicious"},{"name":"Kāla","start":"12:56","end":"14:00","startHours":12.939185928395862,"endHours":13.995865775986818,"quality":"inauspicious"},{"name":"Śubha","start":"14:00","end":"15:03","startHours":13.995865775986818,"endHours":15.052545623577773,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:07","startHours":15.052545623577773,"endHours":16.109225471168727,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:07","end":"18:03","startHours":16.109225471168727,"endHours":18.05254562357777,"quality":"inauspicious"},{"name":"Śubha","start":"18:03","end":"20:00","startHours":18.05254562357777,"endHours":19.995865775986818,"quality":"auspicious"},{"name":"Roga","start":"20:00","end":"21:56","startHours":19.995865775986818,"endHours":21.93918592839586,"quality":"inauspicious"},{"name":"Udveg","start":"21:56","end":"23:53","startHours":21.93918592839586,"endHours":23.88250608080491,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:50","startHours":23.88250608080491,"endHours":25.825826233213952,"quality":"neutral"},{"name":"Labha","start":"01:50","end":"03:46","startHours":25.825826233213952,"endHours":27.769146385622996,"quality":"auspicious"},{"name":"Amṛta","start":"03:46","end":"05:43","startHours":27.769146385622996,"endHours":29.71246653803204,"quality":"auspicious"},{"name":"Kāla","start":"05:43","end":"07:39","startHours":29.71246653803204,"endHours":31.655786690441087,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:39","end":"08:39","startHours":7.6557866904410865,"endHours":8.655786690441087,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:39","end":"09:39","startHours":8.655786690441087,"endHours":9.655786690441087,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:39","end":"10:39","startHours":9.655786690441087,"endHours":10.655786690441087,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:39","end":"11:39","startHours":10.655786690441087,"endHours":11.655786690441087,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:39","end":"12:39","startHours":11.655786690441087,"endHours":12.655786690441087,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:39","end":"13:39","startHours":12.655786690441087,"endHours":13.655786690441087,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:39","end":"14:39","startHours":13.655786690441087,"endHours":14.655786690441087,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:39","end":"15:39","startHours":14.655786690441087,"endHours":15.655786690441087,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:39","end":"16:39","startHours":15.655786690441087,"endHours":16.655786690441087,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:39","end":"17:39","startHours":16.655786690441087,"endHours":17.655786690441087,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:39","end":"18:39","startHours":17.655786690441087,"endHours":18.655786690441087,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:39","end":"19:39","startHours":18.655786690441087,"endHours":19.655786690441087,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:39","end":"20:39","startHours":19.655786690441087,"endHours":20.655786690441087,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:39","end":"21:39","startHours":20.655786690441087,"endHours":21.655786690441087,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:39","end":"22:39","startHours":21.655786690441087,"endHours":22.655786690441087,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:39","end":"23:39","startHours":22.655786690441087,"endHours":23.655786690441087,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:39","end":"00:39","startHours":23.655786690441087,"endHours":24.655786690441087,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:39","end":"01:39","startHours":24.655786690441087,"endHours":25.655786690441087,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:39","end":"02:39","startHours":25.655786690441087,"endHours":26.655786690441087,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:39","end":"03:39","startHours":26.655786690441087,"endHours":27.655786690441087,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:39","end":"04:39","startHours":27.655786690441087,"endHours":28.655786690441087,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:39","end":"05:39","startHours":28.655786690441087,"endHours":29.655786690441087,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:39","end":"06:39","startHours":29.655786690441087,"endHours":30.655786690441087,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:39","end":"07:39","startHours":30.655786690441087,"endHours":31.655786690441087,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.94119270966374,"eotMinutes":13.429635151705593,"ayanamsa":23.8654}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"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 Daśamī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[],"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 21, 2000 CE · Berlin, Germany · Vidhyamitra","description":"November 21, 2000 CE for Berlin, Germany: Kṛṣṇa Daśamī, sūryodaya 07:39, sūryāsta 16:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2000-11-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2000-11-21","sa":"https://sa.vidhyamitra.com/city/berlin/2000-11-21","hi":"https://hi.vidhyamitra.com/city/berlin/2000-11-21","x-default":"https://vidhyamitra.com/city/berlin/2000-11-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:34:08.108Z","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":"2026-06-02T12:34:08.108Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:34:08.108Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}