{"id":"vidhyamitra:city-day:varanasi:1945-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/1945-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-01-01","date_display":"January 1, 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":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431456.770833,"kali_year":5046,"ahargana":1842991.2708,"sun":{"sidereal_longitude":257.0928,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":108.238,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.1453,"elapsed_within_tithi_degrees":7.1453},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.238,"elapsed_within_degrees":1.5714},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.3308},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431456.770833,"ahargana":1842991.2708,"kali_year":5046,"ayanamsa_lahiri":23.0847,"grahas":{"sun":{"sidereal_longitude":257.19152800000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":106.326728,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":1.4477},"mars":{"sidereal_longitude":244.17202799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":240.39222799999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":155.033728,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":302.200428,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":74.33252800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":89.4534,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":269.4534,"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":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431456.770833,"kali_year":5046,"ahargana":1842991.2708,"sun":{"sidereal_longitude":257.0928,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":108.238,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.1453,"elapsed_within_tithi_degrees":7.1453},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.238,"elapsed_within_degrees":1.5714},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.3308},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.448,"elongation":148.855},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.448,"opposition_distance":31.145}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:44","sunsetLocal":"17:19","solarNoonLocal":"12:02","dayLengthHours":10.588556692849071,"dayLengthDisplay":"10 Hours 35 Mins 19 Secs","nightLengthDisplay":"13 Hours 24 Mins 41 Secs","moonriseLocal":"19:20","moonsetLocal":"08:36","rahuKala":{"name":"Rāhu Kāla","start":"08:04","end":"09:23","startHours":8.059450878904865,"endHours":9.383020465510999,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:02","startHours":10.706590052117134,"endHours":12.030159638723267,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:21","end":"14:41","startHours":13.3537292253294,"endHours":14.677298811935536,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:34","startHours":9.206544520630182,"endHours":9.559496410391818,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:11","end":"07:28","startHours":7.177071154500776,"endHours":7.459432666310085,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:23","startHours":11.677207748961631,"endHours":12.383111528484903,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:19","end":"06:02","startHours":5.324073733252189,"endHours":6.02997751277546,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:44","startHours":5.853501567894643,"endHours":6.735881292298732,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:30","startHours":13.794919087531447,"endHours":14.500822867054719,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.124437985147804,"endHours":17.524437985147802,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:46","startHours":17.324437985147803,"endHours":17.765627847349847,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.074437985147803,"endHours":18.824437985147803,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:23","startHours":23.677207748961635,"endHours":24.383111528484903,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:44","end":"08:04","startHours":6.735881292298732,"endHours":8.059450878904865,"quality":"auspicious"},{"name":"Kāla","start":"08:04","end":"09:23","startHours":8.059450878904865,"endHours":9.383020465510999,"quality":"inauspicious"},{"name":"Śubha","start":"09:23","end":"10:42","startHours":9.383020465510999,"endHours":10.706590052117134,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:02","startHours":10.706590052117134,"endHours":12.030159638723267,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:21","startHours":12.030159638723267,"endHours":13.3537292253294,"quality":"inauspicious"},{"name":"Chala","start":"13:21","end":"14:41","startHours":13.3537292253294,"endHours":14.677298811935536,"quality":"neutral"},{"name":"Labha","start":"14:41","end":"16:00","startHours":14.677298811935536,"endHours":16.00086839854167,"quality":"auspicious"},{"name":"Amṛta","start":"16:00","end":"17:19","startHours":16.00086839854167,"endHours":17.324437985147803,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:19","end":"19:00","startHours":17.324437985147803,"endHours":19.00086839854167,"quality":"neutral"},{"name":"Labha","start":"19:00","end":"20:41","startHours":19.00086839854167,"endHours":20.677298811935536,"quality":"auspicious"},{"name":"Amṛta","start":"20:41","end":"22:21","startHours":20.677298811935536,"endHours":22.353729225329403,"quality":"auspicious"},{"name":"Kāla","start":"22:21","end":"00:02","startHours":22.353729225329403,"endHours":24.03015963872327,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"01:42","startHours":24.03015963872327,"endHours":25.706590052117136,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:23","startHours":25.706590052117136,"endHours":27.383020465511,"quality":"inauspicious"},{"name":"Udveg","start":"03:23","end":"05:04","startHours":27.383020465511,"endHours":29.059450878904865,"quality":"inauspicious"},{"name":"Chala","start":"05:04","end":"06:44","startHours":29.059450878904865,"endHours":30.735881292298732,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:44","end":"07:44","startHours":6.735881292298732,"endHours":7.735881292298732,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:44","end":"08:44","startHours":7.735881292298732,"endHours":8.735881292298732,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:44","end":"09:44","startHours":8.735881292298732,"endHours":9.735881292298732,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:44","end":"10:44","startHours":9.735881292298732,"endHours":10.735881292298732,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:44","end":"11:44","startHours":10.735881292298732,"endHours":11.735881292298732,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:44","end":"12:44","startHours":11.735881292298732,"endHours":12.735881292298732,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:44","end":"13:44","startHours":12.735881292298732,"endHours":13.735881292298732,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:44","end":"14:44","startHours":13.735881292298732,"endHours":14.735881292298732,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:44","end":"15:44","startHours":14.735881292298732,"endHours":15.735881292298732,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:44","end":"16:44","startHours":15.735881292298732,"endHours":16.735881292298732,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:44","end":"17:44","startHours":16.735881292298732,"endHours":17.735881292298732,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:44","end":"18:44","startHours":17.735881292298732,"endHours":18.735881292298732,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:44","end":"19:44","startHours":18.735881292298732,"endHours":19.735881292298732,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:44","end":"20:44","startHours":19.735881292298732,"endHours":20.735881292298732,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:44","end":"21:44","startHours":20.735881292298732,"endHours":21.735881292298732,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:44","end":"22:44","startHours":21.735881292298732,"endHours":22.735881292298732,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:44","end":"23:44","startHours":22.735881292298732,"endHours":23.735881292298732,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:44","end":"00:44","startHours":23.735881292298732,"endHours":24.735881292298732,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:44","end":"01:44","startHours":24.735881292298732,"endHours":25.735881292298732,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:44","end":"02:44","startHours":25.735881292298732,"endHours":26.735881292298732,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:44","end":"03:44","startHours":26.735881292298732,"endHours":27.735881292298732,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:44","end":"04:44","startHours":27.735881292298732,"endHours":28.735881292298732,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:44","end":"05:44","startHours":28.735881292298732,"endHours":29.735881292298732,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:44","end":"06:44","startHours":29.735881292298732,"endHours":30.735881292298732,"planetary_lord":"Venus"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","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":-23.038681470690243,"eotMinutes":-3.705178323396069,"ayanamsa":23.0847}},"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 Tṛtīyā · 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":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 1, 1945 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 1, 1945 CE for Vārāṇasī (Kāśī): Kṛṣṇa Tṛtīyā, sūryodaya 06:44, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/1945-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/1945-01-01","sa":"https://sa.vidhyamitra.com/city/varanasi/1945-01-01","hi":"https://hi.vidhyamitra.com/city/varanasi/1945-01-01","x-default":"https://vidhyamitra.com/city/varanasi/1945-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:48:05.336Z","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":"2026-05-14T15:48:05.336Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:48:05.336Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}