{"id":"vidhyamitra:city-day:paris:2026-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2026-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-08-13","date_display":"August 13, 2026 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":2026,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461265.770833,"kali_year":5128,"ahargana":1872800.2708,"sun":{"sidereal_longitude":115.4449,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":120.8421,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.3972,"elapsed_within_tithi_degrees":5.3972},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.8421,"elapsed_within_degrees":0.8421},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.287},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2026,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461265.770833,"ahargana":1872800.2708,"kali_year":5128,"ayanamsa_lahiri":24.2248,"grahas":{"sun":{"sidereal_longitude":116.110005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":120.17880500000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":0.7177},"mars":{"sidereal_longitude":66.548405,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":101.082605,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":105.19190500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":161.61510499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":350.319405,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":310.0291,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.0291,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461265.770833,"kali_year":5128,"ahargana":1872800.2708,"sun":{"sidereal_longitude":115.4449,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":120.8421,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.3972,"elapsed_within_tithi_degrees":5.3972},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.8421,"elapsed_within_degrees":0.8421},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.287},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.718,"elongation":5.397},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.718,"opposition_distance":174.603}},"eclipse_window_40days":[{"offset_days":15,"type":"lunar","occurs":true,"moon_latitude":-0.114,"opposition_distance":2.035}]},"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":"05:40","sunsetLocal":"20:11","solarNoonLocal":"12:55","dayLengthHours":14.51470985623926,"dayLengthDisplay":"14 Hours 30 Mins 53 Secs","nightLengthDisplay":"9 Hours 29 Mins 07 Secs","moonriseLocal":"06:04","moonsetLocal":"20:18","rahuKala":{"name":"Rāhu Kāla","start":"14:44","end":"16:33","startHours":14.733550744333499,"endHours":16.547889476363405,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:40","end":"07:29","startHours":5.6618570841839615,"endHours":7.476195816213869,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:17","end":"11:06","startHours":9.290534548243777,"endHours":11.104873280273683,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:32","startHours":9.048622717306456,"endHours":9.532446379181097,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:39","startHours":6.266636661527264,"endHours":6.6536955910269775,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:26","end":"13:24","startHours":12.43538835042895,"endHours":13.403035674178232,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:42","startHours":3.726562436685393,"endHours":4.694209760434678,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:40","startHours":4.452297929497356,"endHours":5.6618570841839615,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:20","end":"16:18","startHours":15.338330321676803,"endHours":16.305977645426086,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:59","end":"20:23","startHours":19.976566940423222,"endHours":20.37656694042322,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:11","end":"20:47","startHours":20.17656694042322,"endHours":20.781346517766522,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:56","end":"21:41","startHours":19.92656694042322,"endHours":21.67656694042322,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:26","end":"01:24","startHours":24.435388350428948,"endHours":25.40303567417823,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:40","end":"07:29","startHours":5.6618570841839615,"endHours":7.476195816213869,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:17","startHours":7.476195816213869,"endHours":9.290534548243777,"quality":"inauspicious"},{"name":"Udveg","start":"09:17","end":"11:06","startHours":9.290534548243777,"endHours":11.104873280273683,"quality":"inauspicious"},{"name":"Chala","start":"11:06","end":"12:55","startHours":11.104873280273683,"endHours":12.919212012303593,"quality":"neutral"},{"name":"Labha","start":"12:55","end":"14:44","startHours":12.919212012303593,"endHours":14.733550744333499,"quality":"auspicious"},{"name":"Amṛta","start":"14:44","end":"16:33","startHours":14.733550744333499,"endHours":16.547889476363405,"quality":"auspicious"},{"name":"Kāla","start":"16:33","end":"18:22","startHours":16.547889476363405,"endHours":18.362228208393315,"quality":"inauspicious"},{"name":"Śubha","start":"18:22","end":"20:11","startHours":18.362228208393315,"endHours":20.17656694042322,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:11","end":"21:22","startHours":20.17656694042322,"endHours":21.362228208393315,"quality":"auspicious"},{"name":"Kāla","start":"21:22","end":"22:33","startHours":21.362228208393315,"endHours":22.547889476363405,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"23:44","startHours":22.547889476363405,"endHours":23.7335507443335,"quality":"auspicious"},{"name":"Roga","start":"23:44","end":"00:55","startHours":23.7335507443335,"endHours":24.91921201230359,"quality":"inauspicious"},{"name":"Udveg","start":"00:55","end":"02:06","startHours":24.91921201230359,"endHours":26.104873280273683,"quality":"inauspicious"},{"name":"Chala","start":"02:06","end":"03:17","startHours":26.104873280273683,"endHours":27.290534548243777,"quality":"neutral"},{"name":"Labha","start":"03:17","end":"04:29","startHours":27.290534548243777,"endHours":28.476195816213867,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:40","startHours":28.476195816213867,"endHours":29.66185708418396,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.6618570841839615,"endHours":6.6618570841839615,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.6618570841839615,"endHours":7.6618570841839615,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.6618570841839615,"endHours":8.66185708418396,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.66185708418396,"endHours":9.66185708418396,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.66185708418396,"endHours":10.66185708418396,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.66185708418396,"endHours":11.66185708418396,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.66185708418396,"endHours":12.66185708418396,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.66185708418396,"endHours":13.66185708418396,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.66185708418396,"endHours":14.66185708418396,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.66185708418396,"endHours":15.66185708418396,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.66185708418396,"endHours":16.66185708418396,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.66185708418396,"endHours":17.66185708418396,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.66185708418396,"endHours":18.66185708418396,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.66185708418396,"endHours":19.66185708418396,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.66185708418396,"endHours":20.66185708418396,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.66185708418396,"endHours":21.66185708418396,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.66185708418396,"endHours":22.66185708418396,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.66185708418396,"endHours":23.66185708418396,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.66185708418396,"endHours":24.66185708418396,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.66185708418396,"endHours":25.66185708418396,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.66185708418396,"endHours":26.66185708418396,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.66185708418396,"endHours":27.66185708418396,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.66185708418396,"endHours":28.66185708418396,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.66185708418396,"endHours":29.66185708418396,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.706800966754919,"eotMinutes":-4.561520738215509,"ayanamsa":24.2248}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 August 13, 2026 CE · Paris, France · Vidhyamitra","description":"August 13, 2026 CE for Paris, France: Śukla Pratipada, sūryodaya 05:40, sūryāsta 20:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2026-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2026-08-13","sa":"https://sa.vidhyamitra.com/city/paris/2026-08-13","hi":"https://hi.vidhyamitra.com/city/paris/2026-08-13","x-default":"https://vidhyamitra.com/city/paris/2026-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-25T00:37:21.548Z","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":"2026-07-25T00:37:21.548Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-25T00:37:21.548Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-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","Divyāṁśa-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"}}}