{"id":"vidhyamitra:city-day:paris:2041-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2041-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-05-13","date_display":"May 13, 2041 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2041,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466652.770833,"kali_year":5143,"ahargana":1878187.2708,"sun":{"sidereal_longitude":28.1447,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":171.5206,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.3759,"elapsed_within_tithi_degrees":11.3759},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.5206,"elapsed_within_degrees":11.5206},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.6653},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2041,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466652.770833,"ahargana":1878187.2708,"kali_year":5143,"ayanamsa_lahiri":24.4308,"grahas":{"sun":{"sidereal_longitude":28.245681999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":172.39268199999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":2.4543},"mars":{"sidereal_longitude":354.629282,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":49.28148199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":178.98938199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":342.596382,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":173.61738200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":24.5999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.5999,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2041,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466652.770833,"kali_year":5143,"ahargana":1878187.2708,"sun":{"sidereal_longitude":28.1447,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":171.5206,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.3759,"elapsed_within_tithi_degrees":11.3759},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.5206,"elapsed_within_degrees":11.5206},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.6653},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.454,"elongation":143.376},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.454,"opposition_distance":36.624}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":-0.457,"opposition_distance":0.75}]},"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":"05:11","sunsetLocal":"20:22","solarNoonLocal":"12:47","dayLengthHours":15.184600069492152,"dayLengthDisplay":"15 Hours 11 Mins 05 Secs","nightLengthDisplay":"8 Hours 48 Mins 55 Secs","moonriseLocal":"16:50","moonsetLocal":"03:57","rahuKala":{"name":"Rāhu Kāla","start":"07:05","end":"08:59","startHours":7.086404328214504,"endHours":8.984479336901023,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:53","end":"12:47","startHours":10.882554345587543,"endHours":12.780629354274062,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:41","end":"16:35","startHours":14.67870436296058,"endHours":16.5767793716471,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:14","startHours":8.731402669076154,"endHours":9.237556004725892,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:14","startHours":5.821020989090158,"endHours":6.225943657609949,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:17","startHours":12.274476018624322,"endHours":13.286782689923799,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:10","end":"04:11","startHours":3.1637159769290313,"endHours":4.176022648228508,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:55","end":"05:11","startHours":3.9229459804036386,"endHours":5.188329319527985,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:19","end":"16:19","startHours":15.311396032522754,"endHours":16.32370270382223,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:10","end":"20:34","startHours":20.172929389020137,"endHours":20.572929389020135,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:22","end":"21:00","startHours":20.372929389020136,"endHours":21.00562105858231,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:07","end":"21:52","startHours":20.122929389020136,"endHours":21.872929389020136,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:17","startHours":24.274476018624323,"endHours":25.2867826899238,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:11","end":"07:05","startHours":5.188329319527985,"endHours":7.086404328214504,"quality":"auspicious"},{"name":"Kāla","start":"07:05","end":"08:59","startHours":7.086404328214504,"endHours":8.984479336901023,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:53","startHours":8.984479336901023,"endHours":10.882554345587543,"quality":"auspicious"},{"name":"Roga","start":"10:53","end":"12:47","startHours":10.882554345587543,"endHours":12.780629354274062,"quality":"inauspicious"},{"name":"Udveg","start":"12:47","end":"14:41","startHours":12.780629354274062,"endHours":14.67870436296058,"quality":"inauspicious"},{"name":"Chala","start":"14:41","end":"16:35","startHours":14.67870436296058,"endHours":16.5767793716471,"quality":"neutral"},{"name":"Labha","start":"16:35","end":"18:28","startHours":16.5767793716471,"endHours":18.474854380333618,"quality":"auspicious"},{"name":"Amṛta","start":"18:28","end":"20:22","startHours":18.474854380333618,"endHours":20.372929389020136,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"20:22","end":"21:28","startHours":20.372929389020136,"endHours":21.474854380333618,"quality":"neutral"},{"name":"Labha","start":"21:28","end":"22:35","startHours":21.474854380333618,"endHours":22.5767793716471,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"23:41","startHours":22.5767793716471,"endHours":23.67870436296058,"quality":"auspicious"},{"name":"Kāla","start":"23:41","end":"00:47","startHours":23.67870436296058,"endHours":24.780629354274062,"quality":"inauspicious"},{"name":"Śubha","start":"00:47","end":"01:53","startHours":24.780629354274062,"endHours":25.882554345587543,"quality":"auspicious"},{"name":"Roga","start":"01:53","end":"02:59","startHours":25.882554345587543,"endHours":26.98447933690102,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:05","startHours":26.98447933690102,"endHours":28.086404328214503,"quality":"inauspicious"},{"name":"Chala","start":"04:05","end":"05:11","startHours":28.086404328214503,"endHours":29.188329319527984,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.188329319527985,"endHours":6.188329319527985,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.188329319527985,"endHours":7.188329319527985,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.188329319527985,"endHours":8.188329319527984,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.188329319527984,"endHours":9.188329319527984,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.188329319527984,"endHours":10.188329319527984,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.188329319527984,"endHours":11.188329319527984,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.188329319527984,"endHours":12.188329319527984,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.188329319527984,"endHours":13.188329319527984,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.188329319527984,"endHours":14.188329319527984,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.188329319527984,"endHours":15.188329319527984,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.188329319527984,"endHours":16.188329319527984,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.188329319527984,"endHours":17.188329319527984,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.188329319527984,"endHours":18.188329319527984,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.188329319527984,"endHours":19.188329319527984,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.188329319527984,"endHours":20.188329319527984,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.188329319527984,"endHours":21.188329319527984,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.188329319527984,"endHours":22.188329319527984,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.188329319527984,"endHours":23.188329319527984,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.188329319527984,"endHours":24.188329319527984,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.188329319527984,"endHours":25.188329319527984,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.188329319527984,"endHours":26.188329319527984,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.188329319527984,"endHours":27.188329319527984,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.188329319527984,"endHours":28.188329319527984,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.188329319527984,"endHours":29.188329319527984,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.438506219411323,"eotMinutes":3.7534387435564067,"ayanamsa":24.4308}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvādaśī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 May 13, 2041 CE · Paris, France · Vidhyamitra","description":"May 13, 2041 CE for Paris, France: Śukla Dvādaśī, sūryodaya 05:11, sūryāsta 20:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2041-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2041-05-13","sa":"https://sa.vidhyamitra.com/city/paris/2041-05-13","hi":"https://hi.vidhyamitra.com/city/paris/2041-05-13","x-default":"https://vidhyamitra.com/city/paris/2041-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:21:36.085Z","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":"2026-08-10T11:21:36.085Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:21:36.085Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}