{"id":"vidhyamitra:city-day:paris:2001-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2001-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451929.770833,"kali_year":5102,"ahargana":1863464.2708,"sun":{"sidereal_longitude":276.1079,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":224.6738,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.5659,"elapsed_within_tithi_degrees":8.5659},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.6738,"elapsed_within_degrees":11.3405},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.7817},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2001,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451929.770833,"ahargana":1863464.2708,"kali_year":5102,"ayanamsa_lahiri":23.8677,"grahas":{"sun":{"sidereal_longitude":276.1803090000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":227.08830899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":2.8921},"mars":{"sidereal_longitude":202.00410899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":291.727309,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":37.33600899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":323.226809,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":30.123309000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":84.6953,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":264.6953,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451929.770833,"kali_year":5102,"ahargana":1863464.2708,"sun":{"sidereal_longitude":276.1079,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":224.6738,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.5659,"elapsed_within_tithi_degrees":8.5659},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.6738,"elapsed_within_degrees":11.3405},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.7817},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.892,"elongation":51.434},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.892,"opposition_distance":128.566}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":0.182,"opposition_distance":1.705}]},"city":{"slug":"paris","name":"Paris, France","lat":48.8566,"lon":2.3522,"tz_offset_hours":1,"country":"FR","tier":"diaspora"},"tier2":{"city":{"slug":"paris","name":"Paris, France","lat":48.8566,"lon":2.3522,"tz_offset_hours":1,"country":"FR","tier":"diaspora"},"sunriseLocal":"08:35","sunsetLocal":"17:28","solarNoonLocal":"13:02","dayLengthHours":8.888093098194815,"dayLengthDisplay":"8 Hours 53 Mins 17 Secs","nightLengthDisplay":"15 Hours 06 Mins 43 Secs","moonriseLocal":"05:32","moonsetLocal":"13:59","rahuKala":{"name":"Rāhu Kāla","start":"10:48","end":"11:55","startHours":10.803901781071783,"endHours":11.914913418346135,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:15","startHours":14.136936692894839,"endHours":15.24794833016919,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:35","end":"09:42","startHours":8.58187850652308,"endHours":9.692890143797431,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:39","end":"10:57","startHours":10.65576689610187,"endHours":10.952036666041696,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:57","end":"09:11","startHours":8.952215718947864,"endHours":9.189231534899726,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:44","end":"13:19","startHours":12.729655285680659,"endHours":13.322194825560315,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:24","end":"07:59","startHours":7.396799426763771,"endHours":7.989338966643425,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:50","end":"08:35","startHours":7.841204081673511,"endHours":8.58187850652308,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:06","startHours":14.507273905319622,"endHours":15.099813445199276,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.269971604717895,"endHours":17.669971604717894,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:50","startHours":17.469971604717895,"endHours":17.840308817142677,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.219971604717895,"endHours":18.969971604717895,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:44","end":"01:19","startHours":24.72965528568066,"endHours":25.322194825560313,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"08:35","end":"09:42","startHours":8.58187850652308,"endHours":9.692890143797431,"quality":"inauspicious"},{"name":"Śubha","start":"09:42","end":"10:48","startHours":9.692890143797431,"endHours":10.803901781071783,"quality":"auspicious"},{"name":"Roga","start":"10:48","end":"11:55","startHours":10.803901781071783,"endHours":11.914913418346135,"quality":"inauspicious"},{"name":"Udveg","start":"11:55","end":"13:02","startHours":11.914913418346135,"endHours":13.025925055620487,"quality":"inauspicious"},{"name":"Chala","start":"13:02","end":"14:08","startHours":13.025925055620487,"endHours":14.136936692894839,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:15","startHours":14.136936692894839,"endHours":15.24794833016919,"quality":"auspicious"},{"name":"Amṛta","start":"15:15","end":"16:22","startHours":15.24794833016919,"endHours":16.358959967443543,"quality":"auspicious"},{"name":"Kāla","start":"16:22","end":"17:28","startHours":16.358959967443543,"endHours":17.469971604717895,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:28","end":"19:22","startHours":17.469971604717895,"endHours":19.358959967443543,"quality":"auspicious"},{"name":"Amṛta","start":"19:22","end":"21:15","startHours":19.358959967443543,"endHours":21.24794833016919,"quality":"auspicious"},{"name":"Kāla","start":"21:15","end":"23:08","startHours":21.24794833016919,"endHours":23.13693669289484,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"01:02","startHours":23.13693669289484,"endHours":25.025925055620487,"quality":"auspicious"},{"name":"Roga","start":"01:02","end":"02:55","startHours":25.025925055620487,"endHours":26.914913418346135,"quality":"inauspicious"},{"name":"Udveg","start":"02:55","end":"04:48","startHours":26.914913418346135,"endHours":28.803901781071783,"quality":"inauspicious"},{"name":"Chala","start":"04:48","end":"06:42","startHours":28.803901781071783,"endHours":30.69289014379743,"quality":"neutral"},{"name":"Labha","start":"06:42","end":"08:35","startHours":30.69289014379743,"endHours":32.58187850652308,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:35","end":"09:35","startHours":8.58187850652308,"endHours":9.58187850652308,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"09:35","end":"10:35","startHours":9.58187850652308,"endHours":10.58187850652308,"planetary_lord":"Moon"},{"name":"Hora 3","start":"10:35","end":"11:35","startHours":10.58187850652308,"endHours":11.58187850652308,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"11:35","end":"12:35","startHours":11.58187850652308,"endHours":12.58187850652308,"planetary_lord":"Venus"},{"name":"Hora 5","start":"12:35","end":"13:35","startHours":12.58187850652308,"endHours":13.58187850652308,"planetary_lord":"Sun"},{"name":"Hora 6","start":"13:35","end":"14:35","startHours":13.58187850652308,"endHours":14.58187850652308,"planetary_lord":"Mars"},{"name":"Hora 7","start":"14:35","end":"15:35","startHours":14.58187850652308,"endHours":15.58187850652308,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"15:35","end":"16:35","startHours":15.58187850652308,"endHours":16.58187850652308,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"16:35","end":"17:35","startHours":16.58187850652308,"endHours":17.58187850652308,"planetary_lord":"Moon"},{"name":"Hora 10","start":"17:35","end":"18:35","startHours":17.58187850652308,"endHours":18.58187850652308,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"18:35","end":"19:35","startHours":18.58187850652308,"endHours":19.58187850652308,"planetary_lord":"Venus"},{"name":"Hora 12","start":"19:35","end":"20:35","startHours":19.58187850652308,"endHours":20.58187850652308,"planetary_lord":"Sun"},{"name":"Hora 13","start":"20:35","end":"21:35","startHours":20.58187850652308,"endHours":21.58187850652308,"planetary_lord":"Mars"},{"name":"Hora 14","start":"21:35","end":"22:35","startHours":21.58187850652308,"endHours":22.58187850652308,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"22:35","end":"23:35","startHours":22.58187850652308,"endHours":23.58187850652308,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"23:35","end":"00:35","startHours":23.58187850652308,"endHours":24.58187850652308,"planetary_lord":"Moon"},{"name":"Hora 17","start":"00:35","end":"01:35","startHours":24.58187850652308,"endHours":25.58187850652308,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"01:35","end":"02:35","startHours":25.58187850652308,"endHours":26.58187850652308,"planetary_lord":"Venus"},{"name":"Hora 19","start":"02:35","end":"03:35","startHours":26.58187850652308,"endHours":27.58187850652308,"planetary_lord":"Sun"},{"name":"Hora 20","start":"03:35","end":"04:35","startHours":27.58187850652308,"endHours":28.58187850652308,"planetary_lord":"Mars"},{"name":"Hora 21","start":"04:35","end":"05:35","startHours":28.58187850652308,"endHours":29.58187850652308,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"05:35","end":"06:35","startHours":29.58187850652308,"endHours":30.58187850652308,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"06:35","end":"07:35","startHours":30.58187850652308,"endHours":31.58187850652308,"planetary_lord":"Moon"},{"name":"Hora 24","start":"07:35","end":"08:35","startHours":31.58187850652308,"endHours":32.58187850652308,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.137829827992633,"eotMinutes":-10.9643033372293,"ayanamsa":23.8677}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ekādaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"shattila-ekadashi","name":"Ṣaṭ-tilā Ekādaśī","name_sanskrit":"षट्तिला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Six uses of tila (sesame) on this Ekādaśī confer mokṣa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"validity":{"eternal":false,"location_specific":"paris"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 20, 2001 CE · Paris, France · Vidhyamitra","description":"January 20, 2001 CE for Paris, France: Kṛṣṇa Ekādaśī, sūryodaya 08:35, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2001-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2001-01-20","sa":"https://sa.vidhyamitra.com/city/paris/2001-01-20","hi":"https://hi.vidhyamitra.com/city/paris/2001-01-20","x-default":"https://vidhyamitra.com/city/paris/2001-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:20:57.344Z","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":"2026-06-02T00:20:57.344Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:20:57.344Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}