{"id":"vidhyamitra:city-day:paris:2045-11-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2045-11-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-11-01","date_display":"November 1, 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":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468285.770833,"kali_year":5147,"ahargana":1879820.2708,"sun":{"sidereal_longitude":193.7324,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":90.9038,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.1714,"elapsed_within_tithi_degrees":5.1714},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.9038,"elapsed_within_degrees":10.9038},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.6362},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":11,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468285.770833,"ahargana":1879820.2708,"kali_year":5147,"ayanamsa_lahiri":24.4933,"grahas":{"sun":{"sidereal_longitude":194.52769,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":90.95339000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":2.0533},"mars":{"sidereal_longitude":138.00928999999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":216.72339,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":308.06069,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":240.42889000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":224.88569000000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.0757,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.0757,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":"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":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468285.770833,"kali_year":5147,"ahargana":1879820.2708,"sun":{"sidereal_longitude":193.7324,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":90.9038,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.1714,"elapsed_within_tithi_degrees":5.1714},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.9038,"elapsed_within_degrees":10.9038},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.6362},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.053,"elongation":102.829},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.053,"opposition_distance":77.171}},"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":"07:38","sunsetLocal":"17:31","solarNoonLocal":"12:34","dayLengthHours":9.885823734442711,"dayLengthDisplay":"9 Hours 53 Mins 09 Secs","nightLengthDisplay":"14 Hours 06 Mins 51 Secs","moonriseLocal":"21:51","moonsetLocal":"13:29","rahuKala":{"name":"Rāhu Kāla","start":"12:34","end":"13:48","startHours":12.56914945137845,"endHours":13.80487741818379,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:52","end":"10:06","startHours":8.861965550962433,"endHours":10.097693517767771,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:20","end":"12:34","startHours":11.333421484573112,"endHours":12.56914945137845,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:16","startHours":9.932929788860394,"endHours":10.262457246675151,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:02","end":"08:18","startHours":8.03814690642554,"endHours":8.301768872677346,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"12:54","startHours":12.239621993563691,"endHours":12.898676909193206,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:18","end":"06:58","startHours":6.3081277528980655,"endHours":6.96718266852758,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:48","end":"07:38","startHours":6.8024189396202015,"endHours":7.626237584157094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.216786740452235,"endHours":14.87584165608175,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.312061318599806,"endHours":17.712061318599805,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:55","startHours":17.512061318599805,"endHours":17.92397064086825,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.262061318599805,"endHours":19.012061318599805,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"00:54","startHours":24.239621993563695,"endHours":24.898676909193206,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:38","end":"08:52","startHours":7.626237584157094,"endHours":8.861965550962433,"quality":"auspicious"},{"name":"Amṛta","start":"08:52","end":"10:06","startHours":8.861965550962433,"endHours":10.097693517767771,"quality":"auspicious"},{"name":"Kāla","start":"10:06","end":"11:20","startHours":10.097693517767771,"endHours":11.333421484573112,"quality":"inauspicious"},{"name":"Śubha","start":"11:20","end":"12:34","startHours":11.333421484573112,"endHours":12.56914945137845,"quality":"auspicious"},{"name":"Roga","start":"12:34","end":"13:48","startHours":12.56914945137845,"endHours":13.80487741818379,"quality":"inauspicious"},{"name":"Udveg","start":"13:48","end":"15:02","startHours":13.80487741818379,"endHours":15.040605384989128,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:17","startHours":15.040605384989128,"endHours":16.276333351794467,"quality":"neutral"},{"name":"Labha","start":"16:17","end":"17:31","startHours":16.276333351794467,"endHours":17.512061318599805,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:31","end":"19:17","startHours":17.512061318599805,"endHours":19.276333351794467,"quality":"inauspicious"},{"name":"Chala","start":"19:17","end":"21:02","startHours":19.276333351794467,"endHours":21.040605384989128,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:48","startHours":21.040605384989128,"endHours":22.80487741818379,"quality":"auspicious"},{"name":"Amṛta","start":"22:48","end":"00:34","startHours":22.80487741818379,"endHours":24.56914945137845,"quality":"auspicious"},{"name":"Kāla","start":"00:34","end":"02:20","startHours":24.56914945137845,"endHours":26.33342148457311,"quality":"inauspicious"},{"name":"Śubha","start":"02:20","end":"04:06","startHours":26.33342148457311,"endHours":28.097693517767773,"quality":"auspicious"},{"name":"Roga","start":"04:06","end":"05:52","startHours":28.097693517767773,"endHours":29.86196555096243,"quality":"inauspicious"},{"name":"Udveg","start":"05:52","end":"07:38","startHours":29.86196555096243,"endHours":31.626237584157096,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:38","end":"08:38","startHours":7.626237584157094,"endHours":8.626237584157094,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:38","end":"09:38","startHours":8.626237584157094,"endHours":9.626237584157094,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:38","end":"10:38","startHours":9.626237584157094,"endHours":10.626237584157094,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:38","end":"11:38","startHours":10.626237584157094,"endHours":11.626237584157094,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:38","end":"12:38","startHours":11.626237584157094,"endHours":12.626237584157094,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:38","end":"13:38","startHours":12.626237584157094,"endHours":13.626237584157094,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:38","end":"14:38","startHours":13.626237584157094,"endHours":14.626237584157094,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:38","end":"15:38","startHours":14.626237584157094,"endHours":15.626237584157094,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:38","end":"16:38","startHours":15.626237584157094,"endHours":16.626237584157096,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:38","end":"17:38","startHours":16.626237584157096,"endHours":17.626237584157096,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:38","end":"18:38","startHours":17.626237584157096,"endHours":18.626237584157096,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:38","end":"19:38","startHours":18.626237584157096,"endHours":19.626237584157096,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:38","end":"20:38","startHours":19.626237584157096,"endHours":20.626237584157096,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:38","end":"21:38","startHours":20.626237584157096,"endHours":21.626237584157096,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:38","end":"22:38","startHours":21.626237584157096,"endHours":22.626237584157096,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:38","end":"23:38","startHours":22.626237584157096,"endHours":23.626237584157096,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:38","end":"00:38","startHours":23.626237584157096,"endHours":24.626237584157096,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:38","end":"01:38","startHours":24.626237584157096,"endHours":25.626237584157096,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:38","end":"02:38","startHours":25.626237584157096,"endHours":26.626237584157096,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:38","end":"03:38","startHours":26.626237584157096,"endHours":27.626237584157096,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:38","end":"04:38","startHours":27.626237584157096,"endHours":28.626237584157096,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:38","end":"05:38","startHours":28.626237584157096,"endHours":29.626237584157096,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:38","end":"06:38","startHours":29.626237584157096,"endHours":30.626237584157096,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:38","end":"07:38","startHours":30.626237584157096,"endHours":31.626237584157096,"planetary_lord":"Sun"}],"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","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.502033631822995,"eotMinutes":16.442232917293087,"ayanamsa":24.4933}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 November 1, 2045 CE · Paris, France · Vidhyamitra","description":"November 1, 2045 CE for Paris, France: Kṛṣṇa Saptamī, sūryodaya 07:38, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2045-11-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2045-11-01","sa":"https://sa.vidhyamitra.com/city/paris/2045-11-01","hi":"https://hi.vidhyamitra.com/city/paris/2045-11-01","x-default":"https://vidhyamitra.com/city/paris/2045-11-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T20:41:15.863Z","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":"2026-09-23T20:41:15.863Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T20:41:15.863Z","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"}}}