{"id":"vidhyamitra:city-day:mathura:1945-01-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1945-01-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-01-08","date_display":"January 8, 1945 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":1945,"month":1,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431463.770833,"kali_year":5046,"ahargana":1842998.2708,"sun":{"sidereal_longitude":264.2888,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":191.3905,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.1016,"elapsed_within_tithi_degrees":11.1016},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.3905,"elapsed_within_degrees":4.7238},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.6793},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1945,"month":1,"day":8,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431463.770833,"ahargana":1842998.2708,"kali_year":5046,"ayanamsa_lahiri":23.085,"grahas":{"sun":{"sidereal_longitude":264.32616099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":190.760261,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":4.3964},"mars":{"sidereal_longitude":249.382161,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.19386099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.20446100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":310.221461,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":73.758261,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":89.0825,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":269.0825,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":"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":1945,"month":1,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431463.770833,"kali_year":5046,"ahargana":1842998.2708,"sun":{"sidereal_longitude":264.2888,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":191.3905,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.1016,"elapsed_within_tithi_degrees":11.1016},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.3905,"elapsed_within_degrees":4.7238},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.6793},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.396,"elongation":72.898},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.396,"opposition_distance":107.102}},"eclipse_window_40days":[{"offset_days":20,"type":"lunar","occurs":true,"moon_latitude":1.214,"opposition_distance":1.122}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:41","solarNoonLocal":"12:26","dayLengthHours":10.494847774858172,"dayLengthDisplay":"10 Hours 29 Mins 41 Secs","nightLengthDisplay":"13 Hours 30 Mins 19 Secs","moonriseLocal":"01:56","moonsetLocal":"13:07","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:49","startHours":8.49788131165031,"endHours":9.80973728350758,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:07","end":"12:26","startHours":11.121593255364854,"endHours":12.433449227222123,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:45","end":"15:03","startHours":13.745305199079397,"endHours":15.057161170936666,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.634823153926611,"endHours":9.984651413088551,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.623310663745462,"endHours":7.903173271075014,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.083620968060185,"endHours":12.783277486384062,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.786712303145282,"endHours":6.48636882146916,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.311454691888191,"endHours":7.186025339793038,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.18259052303182,"endHours":14.882247041355699,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.48087311465121,"endHours":17.88087311465121,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:07","startHours":17.68087311465121,"endHours":18.118158438603633,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.43087311465121,"endHours":19.18087311465121,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.083620968060185,"endHours":24.783277486384062,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:30","startHours":7.186025339793038,"endHours":8.49788131165031,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:49","startHours":8.49788131165031,"endHours":9.80973728350758,"quality":"inauspicious"},{"name":"Śubha","start":"09:49","end":"11:07","startHours":9.80973728350758,"endHours":11.121593255364854,"quality":"auspicious"},{"name":"Roga","start":"11:07","end":"12:26","startHours":11.121593255364854,"endHours":12.433449227222123,"quality":"inauspicious"},{"name":"Udveg","start":"12:26","end":"13:45","startHours":12.433449227222123,"endHours":13.745305199079397,"quality":"inauspicious"},{"name":"Chala","start":"13:45","end":"15:03","startHours":13.745305199079397,"endHours":15.057161170936666,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:22","startHours":15.057161170936666,"endHours":16.36901714279394,"quality":"auspicious"},{"name":"Amṛta","start":"16:22","end":"17:41","startHours":16.36901714279394,"endHours":17.68087311465121,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:41","end":"19:22","startHours":17.68087311465121,"endHours":19.369017142793936,"quality":"neutral"},{"name":"Labha","start":"19:22","end":"21:03","startHours":19.369017142793936,"endHours":21.057161170936666,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:45","startHours":21.057161170936666,"endHours":22.745305199079397,"quality":"auspicious"},{"name":"Kāla","start":"22:45","end":"00:26","startHours":22.745305199079397,"endHours":24.433449227222123,"quality":"inauspicious"},{"name":"Śubha","start":"00:26","end":"02:07","startHours":24.433449227222123,"endHours":26.12159325536485,"quality":"auspicious"},{"name":"Roga","start":"02:07","end":"03:49","startHours":26.12159325536485,"endHours":27.80973728350758,"quality":"inauspicious"},{"name":"Udveg","start":"03:49","end":"05:30","startHours":27.80973728350758,"endHours":29.49788131165031,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:11","startHours":29.49788131165031,"endHours":31.186025339793037,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.186025339793038,"endHours":8.186025339793037,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.186025339793037,"endHours":9.186025339793037,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.186025339793037,"endHours":10.186025339793037,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.186025339793037,"endHours":11.186025339793037,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.186025339793037,"endHours":12.186025339793037,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.186025339793037,"endHours":13.186025339793037,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.186025339793037,"endHours":14.186025339793037,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.186025339793037,"endHours":15.186025339793037,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.186025339793037,"endHours":16.186025339793037,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.186025339793037,"endHours":17.186025339793037,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.186025339793037,"endHours":18.186025339793037,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.186025339793037,"endHours":19.186025339793037,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.186025339793037,"endHours":20.186025339793037,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.186025339793037,"endHours":21.186025339793037,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.186025339793037,"endHours":22.186025339793037,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.186025339793037,"endHours":23.186025339793037,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.186025339793037,"endHours":24.186025339793037,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.186025339793037,"endHours":25.186025339793037,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.186025339793037,"endHours":26.186025339793037,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.186025339793037,"endHours":27.186025339793037,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.186025339793037,"endHours":28.186025339793037,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.186025339793037,"endHours":29.186025339793037,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.186025339793037,"endHours":30.186025339793037,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.186025339793037,"endHours":31.186025339793037,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.303283361935968,"eotMinutes":-6.7017536333273355,"ayanamsa":23.085}},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 8, 1945 CE · Mathurā · Vidhyamitra","description":"January 8, 1945 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 07:11, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1945-01-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1945-01-08","sa":"https://sa.vidhyamitra.com/city/mathura/1945-01-08","hi":"https://hi.vidhyamitra.com/city/mathura/1945-01-08","x-default":"https://vidhyamitra.com/city/mathura/1945-01-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:01:55.655Z","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":"2026-05-14T16:01:55.655Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:01:55.655Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}