{"id":"vidhyamitra:city-day:ranchi:2045-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-29","date_display":"January 29, 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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468009.770833,"kali_year":5146,"ahargana":1879544.2708,"sun":{"sidereal_longitude":284.9329,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":53.8533,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.9204,"elapsed_within_tithi_degrees":8.9204},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.8533,"elapsed_within_degrees":0.52},"yoga":{"number":26,"name":"Indra","sum_longitude":338.7863},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468009.770833,"ahargana":1879544.2708,"kali_year":5146,"ayanamsa_lahiri":24.4827,"grahas":{"sun":{"sidereal_longitude":285.04303500000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.207735000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":4.4148},"mars":{"sidereal_longitude":305.563435,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":280.00493499999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":292.57413500000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":272.4934350000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.31733499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":312.6995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.6995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468009.770833,"kali_year":5146,"ahargana":1879544.2708,"sun":{"sidereal_longitude":284.9329,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":53.8533,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.9204,"elapsed_within_tithi_degrees":8.9204},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.8533,"elapsed_within_degrees":0.52},"yoga":{"number":26,"name":"Indra","sum_longitude":338.7863},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.415,"elongation":128.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.415,"opposition_distance":51.08}},"eclipse_window_40days":[{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.502,"elongation":0.987}]},"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":"06:30","sunsetLocal":"17:34","solarNoonLocal":"12:02","dayLengthHours":11.062006070961642,"dayLengthDisplay":"11 Hours 03 Mins 43 Secs","nightLengthDisplay":"12 Hours 56 Mins 17 Secs","moonriseLocal":"13:42","moonsetLocal":"03:11","rahuKala":{"name":"Rāhu Kāla","start":"16:11","end":"17:34","startHours":16.180480976155852,"endHours":17.563231735026058,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:02","end":"13:25","startHours":12.032228699545236,"endHours":13.414979458415441,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:48","end":"16:11","startHours":14.797730217285647,"endHours":16.180480976155852,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.082360413955465,"endHours":9.451093949654187,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.962142583687817,"endHours":7.257129412246794,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:24","startHours":11.663495163846514,"endHours":12.400962235243957,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:02","end":"05:46","startHours":5.02629152126953,"endHours":5.7637585926669725,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:35","end":"06:30","startHours":5.579391824817613,"endHours":6.501225664064416,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:37","startHours":13.875896378038844,"endHours":14.613363449436287,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36323173502606,"endHours":17.763231735026057,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:01","startHours":17.563231735026058,"endHours":18.02414865464946,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.313231735026058,"endHours":19.063231735026058,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:24","startHours":23.663495163846516,"endHours":24.400962235243956,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:30","end":"07:53","startHours":6.501225664064416,"endHours":7.883976422934621,"quality":"inauspicious"},{"name":"Chala","start":"07:53","end":"09:16","startHours":7.883976422934621,"endHours":9.266727181804827,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:39","startHours":9.266727181804827,"endHours":10.64947794067503,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:02","startHours":10.64947794067503,"endHours":12.032228699545236,"quality":"auspicious"},{"name":"Kāla","start":"12:02","end":"13:25","startHours":12.032228699545236,"endHours":13.414979458415441,"quality":"inauspicious"},{"name":"Śubha","start":"13:25","end":"14:48","startHours":13.414979458415441,"endHours":14.797730217285647,"quality":"auspicious"},{"name":"Roga","start":"14:48","end":"16:11","startHours":14.797730217285647,"endHours":16.180480976155852,"quality":"inauspicious"},{"name":"Udveg","start":"16:11","end":"17:34","startHours":16.180480976155852,"endHours":17.563231735026058,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:34","end":"19:11","startHours":17.563231735026058,"endHours":19.180480976155852,"quality":"auspicious"},{"name":"Roga","start":"19:11","end":"20:48","startHours":19.180480976155852,"endHours":20.797730217285647,"quality":"inauspicious"},{"name":"Udveg","start":"20:48","end":"22:25","startHours":20.797730217285647,"endHours":22.41497945841544,"quality":"inauspicious"},{"name":"Chala","start":"22:25","end":"00:02","startHours":22.41497945841544,"endHours":24.032228699545236,"quality":"neutral"},{"name":"Labha","start":"00:02","end":"01:39","startHours":24.032228699545236,"endHours":25.649477940675034,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:16","startHours":25.649477940675034,"endHours":27.266727181804825,"quality":"auspicious"},{"name":"Kāla","start":"03:16","end":"04:53","startHours":27.266727181804825,"endHours":28.883976422934623,"quality":"inauspicious"},{"name":"Śubha","start":"04:53","end":"06:30","startHours":28.883976422934623,"endHours":30.501225664064414,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.501225664064416,"endHours":7.501225664064416,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.501225664064416,"endHours":8.501225664064416,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.501225664064416,"endHours":9.501225664064416,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.501225664064416,"endHours":10.501225664064416,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.501225664064416,"endHours":11.501225664064416,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.501225664064416,"endHours":12.501225664064416,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.501225664064416,"endHours":13.501225664064416,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.501225664064416,"endHours":14.501225664064416,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.501225664064416,"endHours":15.501225664064416,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.501225664064416,"endHours":16.501225664064414,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.501225664064414,"endHours":17.501225664064414,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.501225664064414,"endHours":18.501225664064414,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.501225664064414,"endHours":19.501225664064414,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.501225664064414,"endHours":20.501225664064414,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.501225664064414,"endHours":21.501225664064414,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.501225664064414,"endHours":22.501225664064414,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.501225664064414,"endHours":23.501225664064414,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.501225664064414,"endHours":24.501225664064414,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.501225664064414,"endHours":25.501225664064414,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.501225664064414,"endHours":26.501225664064414,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.501225664064414,"endHours":27.501225664064414,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.501225664064414,"endHours":28.501225664064414,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.501225664064414,"endHours":29.501225664064414,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.501225664064414,"endHours":30.501225664064414,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.86567521719958,"eotMinutes":-13.172121972714217,"ayanamsa":24.4827}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"jaya-ekadashi","name":"Jayā Ekādaśī","name_sanskrit":"जया एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes pretatva (ghost-state); grants victory.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 29, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 29, 2045 CE for Ranchi, Jharkhand: Śukla Ekādaśī, sūryodaya 06:30, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-01-29","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-01-29","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-01-29","x-default":"https://vidhyamitra.com/city/ranchi/2045-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:32:38.432Z","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":"2026-06-01T13:32:38.432Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:32:38.432Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}