{"id":"vidhyamitra:city-day:ranchi:2045-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-03","date_display":"January 3, 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":"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":2045,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467983.770833,"kali_year":5146,"ahargana":1879518.2708,"sun":{"sidereal_longitude":258.2487,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":72.0942,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.8455,"elapsed_within_tithi_degrees":5.8455},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.0942,"elapsed_within_degrees":5.4275},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.3429},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467983.770833,"ahargana":1879518.2708,"kali_year":5146,"ayanamsa_lahiri":24.4817,"grahas":{"sun":{"sidereal_longitude":258.57192800000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":72.95202799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":3.9717},"mars":{"sidereal_longitude":285.0571279999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":239.694928,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":286.53982799999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":239.85952799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":221.93212800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":314.0771,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.0771,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2045,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467983.770833,"kali_year":5146,"ahargana":1879518.2708,"sun":{"sidereal_longitude":258.2487,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":72.0942,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.8455,"elapsed_within_tithi_degrees":5.8455},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.0942,"elapsed_within_degrees":5.4275},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.3429},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.972,"elongation":173.845},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.972,"opposition_distance":6.155}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"06:31","sunsetLocal":"17:16","solarNoonLocal":"11:53","dayLengthHours":10.739817281542457,"dayLengthDisplay":"10 Hours 44 Mins 23 Secs","nightLengthDisplay":"13 Hours 15 Mins 37 Secs","moonriseLocal":"16:45","moonsetLocal":"06:16","rahuKala":{"name":"Rāhu Kāla","start":"14:34","end":"15:55","startHours":14.574138000896582,"endHours":15.91661516108939,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:33","startHours":9.204229360125353,"endHours":10.54670652031816,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.231660840703775,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.025232405432979,"endHours":9.383226314817728,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.966767426470675,"endHours":7.253162553978473,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.531189771126218,"endHours":12.247177589895717,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.0872994022007445,"endHours":5.803287220970242,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:31","startHours":5.6242902662778675,"endHours":6.519275039739739,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.67915322743471,"endHours":14.395141046204207,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.059092321282197,"endHours":17.459092321282196,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:42","startHours":17.259092321282196,"endHours":17.706584708013132,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.009092321282196,"endHours":18.759092321282196,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.53118977112622,"endHours":24.247177589895717,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:31","end":"07:52","startHours":6.519275039739739,"endHours":7.861752199932546,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:12","startHours":7.861752199932546,"endHours":9.204229360125353,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:33","startHours":9.204229360125353,"endHours":10.54670652031816,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"11:53","startHours":10.54670652031816,"endHours":11.889183680510968,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.231660840703775,"quality":"auspicious"},{"name":"Kāla","start":"13:14","end":"14:34","startHours":13.231660840703775,"endHours":14.574138000896582,"quality":"inauspicious"},{"name":"Śubha","start":"14:34","end":"15:55","startHours":14.574138000896582,"endHours":15.91661516108939,"quality":"auspicious"},{"name":"Roga","start":"15:55","end":"17:16","startHours":15.91661516108939,"endHours":17.259092321282196,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:16","end":"18:55","startHours":17.259092321282196,"endHours":18.91661516108939,"quality":"inauspicious"},{"name":"Śubha","start":"18:55","end":"20:34","startHours":18.91661516108939,"endHours":20.574138000896582,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"22:14","startHours":20.574138000896582,"endHours":22.231660840703775,"quality":"inauspicious"},{"name":"Udveg","start":"22:14","end":"23:53","startHours":22.231660840703775,"endHours":23.889183680510968,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:33","startHours":23.889183680510968,"endHours":25.54670652031816,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"03:12","startHours":25.54670652031816,"endHours":27.204229360125353,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:52","startHours":27.204229360125353,"endHours":28.861752199932546,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:31","startHours":28.861752199932546,"endHours":30.51927503973974,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.519275039739739,"endHours":7.519275039739739,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.519275039739739,"endHours":8.519275039739739,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.519275039739739,"endHours":9.519275039739739,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.519275039739739,"endHours":10.519275039739739,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.519275039739739,"endHours":11.519275039739739,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.519275039739739,"endHours":12.519275039739739,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.519275039739739,"endHours":13.519275039739739,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.519275039739739,"endHours":14.519275039739739,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.519275039739739,"endHours":15.519275039739739,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.519275039739739,"endHours":16.51927503973974,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.51927503973974,"endHours":17.51927503973974,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.51927503973974,"endHours":18.51927503973974,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.51927503973974,"endHours":19.51927503973974,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.51927503973974,"endHours":20.51927503973974,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.51927503973974,"endHours":21.51927503973974,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.51927503973974,"endHours":22.51927503973974,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.51927503973974,"endHours":23.51927503973974,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.51927503973974,"endHours":24.51927503973974,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.51927503973974,"endHours":25.51927503973974,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.51927503973974,"endHours":26.51927503973974,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.51927503973974,"endHours":27.51927503973974,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.51927503973974,"endHours":28.51927503973974,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.51927503973974,"endHours":29.51927503973974,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.51927503973974,"endHours":30.51927503973974,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","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":-22.796215287926085,"eotMinutes":-4.589420830658165,"ayanamsa":24.4817}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Pūrṇimā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 3, 2045 CE for Ranchi, Jharkhand: Śukla Pūrṇimā, sūryodaya 06:31, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-01-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-01-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-01-03","x-default":"https://vidhyamitra.com/city/ranchi/2045-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T08:29:19.636Z","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":"2026-06-03T08:29:19.636Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T08:29:19.636Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}