{"id":"vidhyamitra:city-day:ranchi:2033-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2033-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-01-05","date_display":"January 5, 2033 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":2033,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463602.770833,"kali_year":5134,"ahargana":1875137.2708,"sun":{"sidereal_longitude":260.4129,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.6355,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.2225,"elapsed_within_tithi_degrees":10.2225},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.6355,"elapsed_within_degrees":13.3021},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.0484},"karana":{"half_tithi_index":7,"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":2033,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463602.770833,"ahargana":1875137.2708,"kali_year":5134,"ayanamsa_lahiri":24.3142,"grahas":{"sun":{"sidereal_longitude":260.68951500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":309.524315,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":3.879},"mars":{"sidereal_longitude":196.272515,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":255.50191499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":282.946415,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":307.36371499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":68.21391500000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":186.2036,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.2036,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":2033,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463602.770833,"kali_year":5134,"ahargana":1875137.2708,"sun":{"sidereal_longitude":260.4129,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.6355,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.2225,"elapsed_within_tithi_degrees":10.2225},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.6355,"elapsed_within_degrees":13.3021},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.0484},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.879,"elongation":46.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.879,"opposition_distance":133.777}},"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":"06:32","sunsetLocal":"17:17","solarNoonLocal":"11:54","dayLengthHours":10.753584438844426,"dayLengthDisplay":"10 Hours 45 Mins 13 Secs","nightLengthDisplay":"13 Hours 14 Mins 47 Secs","moonriseLocal":"09:25","moonsetLocal":"20:55","rahuKala":{"name":"Rāhu Kāla","start":"11:54","end":"13:15","startHours":11.90357284373605,"endHours":13.247770898591604,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:13","startHours":7.870978679169392,"endHours":9.215176734024945,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"11:54","startHours":10.559374788880497,"endHours":11.90357284373605,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:24","startHours":9.035950326710871,"endHours":9.39440314133902,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.974846642599023,"endHours":7.261608894301541,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:16","startHours":11.545120029107903,"endHours":12.262025658364198,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.092969365801248,"endHours":5.809874995057544,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.63064858774347,"endHours":6.526780624313838,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:25","startHours":13.69583691687679,"endHours":14.412742546133085,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.080365063158265,"endHours":17.480365063158263,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:44","startHours":17.280365063158264,"endHours":17.72843108144345,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.030365063158264,"endHours":18.780365063158264,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:16","startHours":23.545120029107903,"endHours":24.262025658364198,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"07:52","startHours":6.526780624313838,"endHours":7.870978679169392,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:13","startHours":7.870978679169392,"endHours":9.215176734024945,"quality":"auspicious"},{"name":"Kāla","start":"09:13","end":"10:34","startHours":9.215176734024945,"endHours":10.559374788880497,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"11:54","startHours":10.559374788880497,"endHours":11.90357284373605,"quality":"auspicious"},{"name":"Roga","start":"11:54","end":"13:15","startHours":11.90357284373605,"endHours":13.247770898591604,"quality":"inauspicious"},{"name":"Udveg","start":"13:15","end":"14:36","startHours":13.247770898591604,"endHours":14.591968953447157,"quality":"inauspicious"},{"name":"Chala","start":"14:36","end":"15:56","startHours":14.591968953447157,"endHours":15.93616700830271,"quality":"neutral"},{"name":"Labha","start":"15:56","end":"17:17","startHours":15.93616700830271,"endHours":17.280365063158264,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:17","end":"18:56","startHours":17.280365063158264,"endHours":18.93616700830271,"quality":"inauspicious"},{"name":"Chala","start":"18:56","end":"20:36","startHours":18.93616700830271,"endHours":20.591968953447157,"quality":"neutral"},{"name":"Labha","start":"20:36","end":"22:15","startHours":20.591968953447157,"endHours":22.247770898591604,"quality":"auspicious"},{"name":"Amṛta","start":"22:15","end":"23:54","startHours":22.247770898591604,"endHours":23.90357284373605,"quality":"auspicious"},{"name":"Kāla","start":"23:54","end":"01:34","startHours":23.90357284373605,"endHours":25.559374788880497,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"03:13","startHours":25.559374788880497,"endHours":27.215176734024944,"quality":"auspicious"},{"name":"Roga","start":"03:13","end":"04:52","startHours":27.215176734024944,"endHours":28.87097867916939,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:32","startHours":28.87097867916939,"endHours":30.526780624313837,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.526780624313838,"endHours":7.526780624313838,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.526780624313838,"endHours":8.526780624313838,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.526780624313838,"endHours":9.526780624313838,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.526780624313838,"endHours":10.526780624313838,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.526780624313838,"endHours":11.526780624313838,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.526780624313838,"endHours":12.526780624313838,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.526780624313838,"endHours":13.526780624313838,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.526780624313838,"endHours":14.526780624313838,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.526780624313838,"endHours":15.526780624313838,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.526780624313838,"endHours":16.526780624313837,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.526780624313837,"endHours":17.526780624313837,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.526780624313837,"endHours":18.526780624313837,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.526780624313837,"endHours":19.526780624313837,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.526780624313837,"endHours":20.526780624313837,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.526780624313837,"endHours":21.526780624313837,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.526780624313837,"endHours":22.526780624313837,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.526780624313837,"endHours":23.526780624313837,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.526780624313837,"endHours":24.526780624313837,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.526780624313837,"endHours":25.526780624313837,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.526780624313837,"endHours":26.526780624313837,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.526780624313837,"endHours":27.526780624313837,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.526780624313837,"endHours":28.526780624313837,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.526780624313837,"endHours":29.526780624313837,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.526780624313837,"endHours":30.526780624313837,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","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":-22.592432318312294,"eotMinutes":-5.452770624163118,"ayanamsa":24.3142}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"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 5, 2033 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 5, 2033 CE for Ranchi, Jharkhand: Śukla Caturthī, sūryodaya 06:32, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2033-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2033-01-05","sa":"https://sa.vidhyamitra.com/city/ranchi/2033-01-05","hi":"https://hi.vidhyamitra.com/city/ranchi/2033-01-05","x-default":"https://vidhyamitra.com/city/ranchi/2033-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T13:04:29.404Z","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":"2026-05-15T13:04:29.404Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T13:04:29.404Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}