{"id":"vidhyamitra:city-day:paris:2050-07-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2050-07-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-01","date_display":"July 1, 2050 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":2050,"month":7,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469988.770833,"kali_year":5152,"ahargana":1881523.2708,"sun":{"sidereal_longitude":74.4364,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":207.1322,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.6958,"elapsed_within_tithi_degrees":0.6958},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.1322,"elapsed_within_degrees":7.1322},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.5686},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2050,"month":7,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469988.770833,"ahargana":1881523.2708,"kali_year":5152,"ayanamsa_lahiri":24.5584,"grahas":{"sun":{"sidereal_longitude":74.88762300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":206.81942300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-0.0557},"mars":{"sidereal_longitude":300.128423,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":86.80022300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":102.00062300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":116.29242299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":282.19782299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.8426,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.8426,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":"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":2050,"month":7,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469988.770833,"kali_year":5152,"ahargana":1881523.2708,"sun":{"sidereal_longitude":74.4364,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":207.1322,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.6958,"elapsed_within_tithi_degrees":0.6958},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.1322,"elapsed_within_degrees":7.1322},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.5686},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.056,"elongation":132.696},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.056,"opposition_distance":47.304}},"eclipse_window_40days":[]},"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":"04:51","sunsetLocal":"20:57","solarNoonLocal":"12:54","dayLengthHours":16.108298056380136,"dayLengthDisplay":"16 Hours 06 Mins 30 Secs","nightLengthDisplay":"7 Hours 53 Mins 30 Secs","moonriseLocal":"17:06","moonsetLocal":"02:18","rahuKala":{"name":"Rāhu Kāla","start":"10:53","end":"12:54","startHours":10.887520829693665,"endHours":12.901058086741182,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:56","end":"18:57","startHours":16.928132600836214,"endHours":18.94166985788373,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:52","end":"08:52","startHours":6.860446315598631,"endHours":8.873983572646148,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:09","startHours":8.605511938373146,"endHours":9.14245520691915,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:31","end":"05:57","startHours":5.51808814423362,"endHours":5.9476427590704235,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:22","end":"13:26","startHours":12.364114818195176,"endHours":13.438001355287184,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:42","end":"03:46","startHours":2.6991359843670963,"endHours":3.7730225214591053,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:30","end":"04:51","startHours":3.5045508871861033,"endHours":4.846909058551114,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:35","end":"16:40","startHours":15.585774429471204,"endHours":16.659660966563212,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:45","end":"21:09","startHours":20.75520711493125,"endHours":21.155207114931248,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:57","end":"21:38","startHours":20.955207114931248,"endHours":21.626386200613755,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:42","end":"22:27","startHours":20.705207114931248,"endHours":22.455207114931248,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:22","end":"01:26","startHours":24.364114818195176,"endHours":25.438001355287184,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:51","end":"06:52","startHours":4.846909058551114,"endHours":6.860446315598631,"quality":"neutral"},{"name":"Labha","start":"06:52","end":"08:52","startHours":6.860446315598631,"endHours":8.873983572646148,"quality":"auspicious"},{"name":"Amṛta","start":"08:52","end":"10:53","startHours":8.873983572646148,"endHours":10.887520829693665,"quality":"auspicious"},{"name":"Kāla","start":"10:53","end":"12:54","startHours":10.887520829693665,"endHours":12.901058086741182,"quality":"inauspicious"},{"name":"Śubha","start":"12:54","end":"14:55","startHours":12.901058086741182,"endHours":14.914595343788699,"quality":"auspicious"},{"name":"Roga","start":"14:55","end":"16:56","startHours":14.914595343788699,"endHours":16.928132600836214,"quality":"inauspicious"},{"name":"Udveg","start":"16:56","end":"18:57","startHours":16.928132600836214,"endHours":18.94166985788373,"quality":"inauspicious"},{"name":"Chala","start":"18:57","end":"20:57","startHours":18.94166985788373,"endHours":20.955207114931248,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"20:57","end":"21:57","startHours":20.955207114931248,"endHours":21.94166985788373,"quality":"inauspicious"},{"name":"Udveg","start":"21:57","end":"22:56","startHours":21.94166985788373,"endHours":22.928132600836214,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"23:55","startHours":22.928132600836214,"endHours":23.914595343788697,"quality":"neutral"},{"name":"Labha","start":"23:55","end":"00:54","startHours":23.914595343788697,"endHours":24.90105808674118,"quality":"auspicious"},{"name":"Amṛta","start":"00:54","end":"01:53","startHours":24.90105808674118,"endHours":25.887520829693663,"quality":"auspicious"},{"name":"Kāla","start":"01:53","end":"02:52","startHours":25.887520829693663,"endHours":26.873983572646146,"quality":"inauspicious"},{"name":"Śubha","start":"02:52","end":"03:52","startHours":26.873983572646146,"endHours":27.86044631559863,"quality":"auspicious"},{"name":"Roga","start":"03:52","end":"04:51","startHours":27.86044631559863,"endHours":28.846909058551113,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:51","end":"05:51","startHours":4.846909058551114,"endHours":5.846909058551114,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:51","end":"06:51","startHours":5.846909058551114,"endHours":6.846909058551114,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:51","end":"07:51","startHours":6.846909058551114,"endHours":7.846909058551114,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:51","end":"08:51","startHours":7.846909058551114,"endHours":8.846909058551114,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:51","end":"09:51","startHours":8.846909058551114,"endHours":9.846909058551114,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:51","end":"10:51","startHours":9.846909058551114,"endHours":10.846909058551114,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:51","end":"11:51","startHours":10.846909058551114,"endHours":11.846909058551114,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:51","end":"12:51","startHours":11.846909058551114,"endHours":12.846909058551114,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:51","end":"13:51","startHours":12.846909058551114,"endHours":13.846909058551114,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:51","end":"14:51","startHours":13.846909058551114,"endHours":14.846909058551114,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:51","end":"15:51","startHours":14.846909058551114,"endHours":15.846909058551114,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:51","end":"16:51","startHours":15.846909058551114,"endHours":16.846909058551113,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:51","end":"17:51","startHours":16.846909058551113,"endHours":17.846909058551113,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:51","end":"18:51","startHours":17.846909058551113,"endHours":18.846909058551113,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:51","end":"19:51","startHours":18.846909058551113,"endHours":19.846909058551113,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:51","end":"20:51","startHours":19.846909058551113,"endHours":20.846909058551113,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:51","end":"21:51","startHours":20.846909058551113,"endHours":21.846909058551113,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:51","end":"22:51","startHours":21.846909058551113,"endHours":22.846909058551113,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:51","end":"23:51","startHours":22.846909058551113,"endHours":23.846909058551113,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:51","end":"00:51","startHours":23.846909058551113,"endHours":24.846909058551113,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:51","end":"01:51","startHours":24.846909058551113,"endHours":25.846909058551113,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:51","end":"02:51","startHours":25.846909058551113,"endHours":26.846909058551113,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:51","end":"03:51","startHours":26.846909058551113,"endHours":27.846909058551113,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:51","end":"04:51","startHours":27.846909058551113,"endHours":28.846909058551113,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.10014647096987,"eotMinutes":-3.4722852044708983,"ayanamsa":24.5584}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvādaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 1, 2050 CE · Paris, France · Vidhyamitra","description":"July 1, 2050 CE for Paris, France: Śukla Dvādaśī, sūryodaya 04:51, sūryāsta 20:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2050-07-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2050-07-01","sa":"https://sa.vidhyamitra.com/city/paris/2050-07-01","hi":"https://hi.vidhyamitra.com/city/paris/2050-07-01","x-default":"https://vidhyamitra.com/city/paris/2050-07-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T15:34:06.692Z","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":"2026-09-23T15:34:06.692Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T15:34:06.692Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}