{"id":"vidhyamitra:city-day:paris:2045-07-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2045-07-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-07","date_display":"July 7, 2045 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":2045,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468168.770833,"kali_year":5147,"ahargana":1879703.2708,"sun":{"sidereal_longitude":80.3933,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":349.0835,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.6902,"elapsed_within_tithi_degrees":4.6902},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.0835,"elapsed_within_degrees":2.4169},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.4768},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2045,"month":7,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468168.770833,"ahargana":1879703.2708,"kali_year":5147,"ayanamsa_lahiri":24.4888,"grahas":{"sun":{"sidereal_longitude":80.87565999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":345.84666,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":3.1697},"mars":{"sidereal_longitude":63.70146,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":104.10275999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":317.88635999999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":108.70666,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.57475999999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.2749,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.2749,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468168.770833,"kali_year":5147,"ahargana":1879703.2708,"sun":{"sidereal_longitude":80.3933,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":349.0835,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.6902,"elapsed_within_tithi_degrees":4.6902},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.0835,"elapsed_within_degrees":2.4169},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.4768},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.17,"elongation":91.31},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.17,"opposition_distance":88.69}},"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":"04:55","sunsetLocal":"20:55","solarNoonLocal":"12:55","dayLengthHours":15.993239529681851,"dayLengthDisplay":"15 Hours 59 Mins 36 Secs","nightLengthDisplay":"8 Hours 00 Mins 24 Secs","moonriseLocal":"00:13","moonsetLocal":"12:57","rahuKala":{"name":"Rāhu Kāla","start":"10:55","end":"12:55","startHours":10.919400057194794,"endHours":12.918554998405025,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:55","end":"18:55","startHours":16.91686488082549,"endHours":18.916019822035718,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:55","end":"08:55","startHours":6.921090174774331,"endHours":8.920245115984564,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:11","startHours":8.653691123823197,"endHours":9.186799108145927,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:35","end":"06:01","startHours":5.588320213967511,"endHours":6.014806601425693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:23","end":"13:27","startHours":12.385447014082297,"endHours":13.451662982727752,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:47","end":"03:51","startHours":2.7895032962731867,"endHours":3.855719264918643,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:35","end":"04:55","startHours":3.5891652727572794,"endHours":4.9219352335641,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:35","end":"16:39","startHours":15.584094920018668,"endHours":16.650310888664123,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:43","end":"21:07","startHours":20.71517476324595,"endHours":21.11517476324595,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:55","end":"21:35","startHours":20.91517476324595,"endHours":21.58155974364936,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:40","end":"22:25","startHours":20.66517476324595,"endHours":22.41517476324595,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:23","end":"01:27","startHours":24.385447014082295,"endHours":25.451662982727754,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:55","end":"06:55","startHours":4.9219352335641,"endHours":6.921090174774331,"quality":"neutral"},{"name":"Labha","start":"06:55","end":"08:55","startHours":6.921090174774331,"endHours":8.920245115984564,"quality":"auspicious"},{"name":"Amṛta","start":"08:55","end":"10:55","startHours":8.920245115984564,"endHours":10.919400057194794,"quality":"auspicious"},{"name":"Kāla","start":"10:55","end":"12:55","startHours":10.919400057194794,"endHours":12.918554998405025,"quality":"inauspicious"},{"name":"Śubha","start":"12:55","end":"14:55","startHours":12.918554998405025,"endHours":14.917709939615257,"quality":"auspicious"},{"name":"Roga","start":"14:55","end":"16:55","startHours":14.917709939615257,"endHours":16.91686488082549,"quality":"inauspicious"},{"name":"Udveg","start":"16:55","end":"18:55","startHours":16.91686488082549,"endHours":18.916019822035718,"quality":"inauspicious"},{"name":"Chala","start":"18:55","end":"20:55","startHours":18.916019822035718,"endHours":20.91517476324595,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"20:55","end":"21:55","startHours":20.91517476324595,"endHours":21.916019822035718,"quality":"inauspicious"},{"name":"Udveg","start":"21:55","end":"22:55","startHours":21.916019822035718,"endHours":22.916864880825486,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"23:55","startHours":22.916864880825486,"endHours":23.917709939615257,"quality":"neutral"},{"name":"Labha","start":"23:55","end":"00:55","startHours":23.917709939615257,"endHours":24.918554998405025,"quality":"auspicious"},{"name":"Amṛta","start":"00:55","end":"01:55","startHours":24.918554998405025,"endHours":25.919400057194792,"quality":"auspicious"},{"name":"Kāla","start":"01:55","end":"02:55","startHours":25.919400057194792,"endHours":26.920245115984564,"quality":"inauspicious"},{"name":"Śubha","start":"02:55","end":"03:55","startHours":26.920245115984564,"endHours":27.92109017477433,"quality":"auspicious"},{"name":"Roga","start":"03:55","end":"04:55","startHours":27.92109017477433,"endHours":28.9219352335641,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:55","end":"05:55","startHours":4.9219352335641,"endHours":5.9219352335641,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:55","end":"06:55","startHours":5.9219352335641,"endHours":6.9219352335641,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:55","end":"07:55","startHours":6.9219352335641,"endHours":7.9219352335641,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:55","end":"08:55","startHours":7.9219352335641,"endHours":8.9219352335641,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:55","end":"09:55","startHours":8.9219352335641,"endHours":9.9219352335641,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:55","end":"10:55","startHours":9.9219352335641,"endHours":10.9219352335641,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:55","end":"11:55","startHours":10.9219352335641,"endHours":11.9219352335641,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:55","end":"12:55","startHours":11.9219352335641,"endHours":12.9219352335641,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:55","end":"13:55","startHours":12.9219352335641,"endHours":13.9219352335641,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:55","end":"14:55","startHours":13.9219352335641,"endHours":14.9219352335641,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:55","end":"15:55","startHours":14.9219352335641,"endHours":15.9219352335641,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:55","end":"16:55","startHours":15.9219352335641,"endHours":16.9219352335641,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:55","end":"17:55","startHours":16.9219352335641,"endHours":17.9219352335641,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:55","end":"18:55","startHours":17.9219352335641,"endHours":18.9219352335641,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:55","end":"19:55","startHours":18.9219352335641,"endHours":19.9219352335641,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:55","end":"20:55","startHours":19.9219352335641,"endHours":20.9219352335641,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:55","end":"21:55","startHours":20.9219352335641,"endHours":21.9219352335641,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:55","end":"22:55","startHours":21.9219352335641,"endHours":22.9219352335641,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:55","end":"23:55","startHours":22.9219352335641,"endHours":23.9219352335641,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:55","end":"00:55","startHours":23.9219352335641,"endHours":24.9219352335641,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:55","end":"01:55","startHours":24.9219352335641,"endHours":25.9219352335641,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:55","end":"02:55","startHours":25.9219352335641,"endHours":26.9219352335641,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:55","end":"03:55","startHours":26.9219352335641,"endHours":27.9219352335641,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:55","end":"04:55","startHours":27.9219352335641,"endHours":28.9219352335641,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","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":22.5517343612576,"eotMinutes":-4.522099904301516,"ayanamsa":24.4888}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","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 Kṛṣṇa Aṣṭamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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 7, 2045 CE · Paris, France · Vidhyamitra","description":"July 7, 2045 CE for Paris, France: Kṛṣṇa Aṣṭamī, sūryodaya 04:55, sūryāsta 20:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2045-07-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2045-07-07","sa":"https://sa.vidhyamitra.com/city/paris/2045-07-07","hi":"https://hi.vidhyamitra.com/city/paris/2045-07-07","x-default":"https://vidhyamitra.com/city/paris/2045-07-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T21:36:44.725Z","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":"2026-09-23T21:36:44.725Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T21:36:44.725Z","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"}}}