{"id":"vidhyamitra:city-day:paris:2046-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2046-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-01-04","date_display":"January 4, 2046 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":2046,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468349.770833,"kali_year":5147,"ahargana":1879884.2708,"sun":{"sidereal_longitude":259.0108,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":222.0897,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.0789,"elapsed_within_tithi_degrees":11.0789},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.0897,"elapsed_within_degrees":8.7564},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.1005},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2046,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468349.770833,"ahargana":1879884.2708,"kali_year":5147,"ayanamsa_lahiri":24.4957,"grahas":{"sun":{"sidereal_longitude":259.3294450000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":222.70964500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":-4.2936},"mars":{"sidereal_longitude":172.317945,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.43184500000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":314.952845,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":254.56194499999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":232.249645,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":294.6847,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.6847,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"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":2046,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468349.770833,"kali_year":5147,"ahargana":1879884.2708,"sun":{"sidereal_longitude":259.0108,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":222.0897,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.0789,"elapsed_within_tithi_degrees":11.0789},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.0897,"elapsed_within_degrees":8.7564},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.1005},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.294,"elongation":36.921},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.294,"opposition_distance":143.079}},"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":"08:44","sunsetLocal":"17:07","solarNoonLocal":"12:56","dayLengthHours":8.389004861050179,"dayLengthDisplay":"8 Hours 23 Mins 20 Secs","nightLengthDisplay":"15 Hours 36 Mins 40 Secs","moonriseLocal":"06:12","moonsetLocal":"14:46","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:01","startHours":13.975544055387042,"endHours":15.024169663018313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:44","end":"09:47","startHours":8.73241601723068,"endHours":9.781041624861952,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:50","end":"11:53","startHours":10.829667232493225,"endHours":11.878292840124496,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:41","end":"10:58","startHours":10.689850484809055,"endHours":10.969483980177394,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"09:05","end":"09:18","startHours":9.081957886441105,"endHours":9.305664682735776,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:39","end":"13:12","startHours":12.64728495238743,"endHours":13.206551943124108,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:37","end":"08:10","startHours":7.613882035757323,"endHours":8.173149026494,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"08:02","end":"08:44","startHours":8.033332278809832,"endHours":8.73241601723068,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"14:53","startHours":14.325085924597467,"endHours":14.884352915334146,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:55","end":"17:19","startHours":16.92142087828086,"endHours":17.321420878280858,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:07","end":"17:28","startHours":17.12142087828086,"endHours":17.47096274749128,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:52","end":"18:37","startHours":16.87142087828086,"endHours":18.62142087828086,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:39","end":"01:12","startHours":24.647284952387427,"endHours":25.206551943124108,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:44","end":"09:47","startHours":8.73241601723068,"endHours":9.781041624861952,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"10:50","startHours":9.781041624861952,"endHours":10.829667232493225,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"11:53","startHours":10.829667232493225,"endHours":11.878292840124496,"quality":"inauspicious"},{"name":"Chala","start":"11:53","end":"12:56","startHours":11.878292840124496,"endHours":12.926918447755769,"quality":"neutral"},{"name":"Labha","start":"12:56","end":"13:59","startHours":12.926918447755769,"endHours":13.975544055387042,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:01","startHours":13.975544055387042,"endHours":15.024169663018313,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:04","startHours":15.024169663018313,"endHours":16.072795270649586,"quality":"inauspicious"},{"name":"Śubha","start":"16:04","end":"17:07","startHours":16.072795270649586,"endHours":17.12142087828086,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:07","end":"19:04","startHours":17.12142087828086,"endHours":19.072795270649586,"quality":"auspicious"},{"name":"Kāla","start":"19:04","end":"21:01","startHours":19.072795270649586,"endHours":21.024169663018313,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:59","startHours":21.024169663018313,"endHours":22.97554405538704,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:56","startHours":22.97554405538704,"endHours":24.926918447755767,"quality":"inauspicious"},{"name":"Udveg","start":"00:56","end":"02:53","startHours":24.926918447755767,"endHours":26.878292840124494,"quality":"inauspicious"},{"name":"Chala","start":"02:53","end":"04:50","startHours":26.878292840124494,"endHours":28.829667232493225,"quality":"neutral"},{"name":"Labha","start":"04:50","end":"06:47","startHours":28.829667232493225,"endHours":30.781041624861952,"quality":"auspicious"},{"name":"Amṛta","start":"06:47","end":"08:44","startHours":30.781041624861952,"endHours":32.732416017230676,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:44","end":"09:44","startHours":8.73241601723068,"endHours":9.73241601723068,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:44","end":"10:44","startHours":9.73241601723068,"endHours":10.73241601723068,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:44","end":"11:44","startHours":10.73241601723068,"endHours":11.73241601723068,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:44","end":"12:44","startHours":11.73241601723068,"endHours":12.73241601723068,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:44","end":"13:44","startHours":12.73241601723068,"endHours":13.73241601723068,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:44","end":"14:44","startHours":13.73241601723068,"endHours":14.73241601723068,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:44","end":"15:44","startHours":14.73241601723068,"endHours":15.73241601723068,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:44","end":"16:44","startHours":15.73241601723068,"endHours":16.73241601723068,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:44","end":"17:44","startHours":16.73241601723068,"endHours":17.73241601723068,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:44","end":"18:44","startHours":17.73241601723068,"endHours":18.73241601723068,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:44","end":"19:44","startHours":18.73241601723068,"endHours":19.73241601723068,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:44","end":"20:44","startHours":19.73241601723068,"endHours":20.73241601723068,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:44","end":"21:44","startHours":20.73241601723068,"endHours":21.73241601723068,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:44","end":"22:44","startHours":21.73241601723068,"endHours":22.73241601723068,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:44","end":"23:44","startHours":22.73241601723068,"endHours":23.73241601723068,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:44","end":"00:44","startHours":23.73241601723068,"endHours":24.73241601723068,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:44","end":"01:44","startHours":24.73241601723068,"endHours":25.73241601723068,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:44","end":"02:44","startHours":25.73241601723068,"endHours":26.73241601723068,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:44","end":"03:44","startHours":26.73241601723068,"endHours":27.73241601723068,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:44","end":"04:44","startHours":27.73241601723068,"endHours":28.73241601723068,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:44","end":"05:44","startHours":28.73241601723068,"endHours":29.73241601723068,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:44","end":"06:44","startHours":29.73241601723068,"endHours":30.73241601723068,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:44","end":"07:44","startHours":30.73241601723068,"endHours":31.73241601723068,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:44","end":"08:44","startHours":31.73241601723068,"endHours":32.732416017230676,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.71887624945413,"eotMinutes":-5.02390686534617,"ayanamsa":24.4957}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvādaśī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"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 January 4, 2046 CE · Paris, France · Vidhyamitra","description":"January 4, 2046 CE for Paris, France: Kṛṣṇa Dvādaśī, sūryodaya 08:44, sūryāsta 17:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2046-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2046-01-04","sa":"https://sa.vidhyamitra.com/city/paris/2046-01-04","hi":"https://hi.vidhyamitra.com/city/paris/2046-01-04","x-default":"https://vidhyamitra.com/city/paris/2046-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:02:36.396Z","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":"2026-08-10T10:02:36.396Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:02:36.396Z","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"}}}