{"id":"vidhyamitra:city-day:ranchi:2045-01-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-01-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-22","date_display":"January 22, 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":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468002.770833,"kali_year":5146,"ahargana":1879537.2708,"sun":{"sidereal_longitude":277.7637,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":323.0555,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2918,"elapsed_within_tithi_degrees":9.2918},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.0555,"elapsed_within_degrees":3.0555},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.8192},"karana":{"half_tithi_index":7,"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":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468002.770833,"ahargana":1879537.2708,"kali_year":5146,"ayanamsa_lahiri":24.4824,"grahas":{"sun":{"sidereal_longitude":277.926203,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":319.7782030000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":0.7795},"mars":{"sidereal_longitude":300.03820300000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":268.5716030000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":290.9177030000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":263.707803,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.74430299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.0704,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.0704,"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":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468002.770833,"kali_year":5146,"ahargana":1879537.2708,"sun":{"sidereal_longitude":277.7637,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":323.0555,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2918,"elapsed_within_tithi_degrees":9.2918},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.0555,"elapsed_within_degrees":3.0555},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.8192},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.779,"elongation":45.292},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.779,"opposition_distance":134.708}},"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":"17:29","solarNoonLocal":"12:00","dayLengthHours":10.949781335472212,"dayLengthDisplay":"10 Hours 56 Mins 59 Secs","nightLengthDisplay":"13 Hours 03 Mins 01 Secs","moonriseLocal":"08:56","moonsetLocal":"20:40","rahuKala":{"name":"Rāhu Kāla","start":"16:07","end":"17:29","startHours":16.111129722607735,"endHours":17.47985238954176,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:00","end":"13:22","startHours":12.004961721805657,"endHours":13.373684388739683,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:45","end":"16:07","startHours":14.74240705567371,"endHours":16.111129722607735,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.0850200323464,"endHours":9.450012743528806,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.986311943047559,"endHours":7.278306111993484,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.639969010623249,"endHours":12.369954432988061,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:48","startHours":5.0701002093399214,"endHours":5.800085631704736,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:32","startHours":5.617589276113533,"endHours":6.53007105406955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:34","startHours":13.829925277717692,"endHours":14.559910700082506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.279852389541762,"endHours":17.67985238954176,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:56","startHours":17.47985238954176,"endHours":17.93609327851977,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.22985238954176,"endHours":18.97985238954176,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.63996901062325,"endHours":24.369954432988063,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:32","end":"07:54","startHours":6.53007105406955,"endHours":7.898793721003576,"quality":"inauspicious"},{"name":"Chala","start":"07:54","end":"09:16","startHours":7.898793721003576,"endHours":9.267516387937603,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:38","startHours":9.267516387937603,"endHours":10.63623905487163,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:00","startHours":10.63623905487163,"endHours":12.004961721805657,"quality":"auspicious"},{"name":"Kāla","start":"12:00","end":"13:22","startHours":12.004961721805657,"endHours":13.373684388739683,"quality":"inauspicious"},{"name":"Śubha","start":"13:22","end":"14:45","startHours":13.373684388739683,"endHours":14.74240705567371,"quality":"auspicious"},{"name":"Roga","start":"14:45","end":"16:07","startHours":14.74240705567371,"endHours":16.111129722607735,"quality":"inauspicious"},{"name":"Udveg","start":"16:07","end":"17:29","startHours":16.111129722607735,"endHours":17.47985238954176,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:29","end":"19:07","startHours":17.47985238954176,"endHours":19.111129722607735,"quality":"auspicious"},{"name":"Roga","start":"19:07","end":"20:45","startHours":19.111129722607735,"endHours":20.74240705567371,"quality":"inauspicious"},{"name":"Udveg","start":"20:45","end":"22:22","startHours":20.74240705567371,"endHours":22.373684388739683,"quality":"inauspicious"},{"name":"Chala","start":"22:22","end":"00:00","startHours":22.373684388739683,"endHours":24.004961721805657,"quality":"neutral"},{"name":"Labha","start":"00:00","end":"01:38","startHours":24.004961721805657,"endHours":25.63623905487163,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:16","startHours":25.63623905487163,"endHours":27.267516387937604,"quality":"auspicious"},{"name":"Kāla","start":"03:16","end":"04:54","startHours":27.267516387937604,"endHours":28.898793721003578,"quality":"inauspicious"},{"name":"Śubha","start":"04:54","end":"06:32","startHours":28.898793721003578,"endHours":30.530071054069552,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.53007105406955,"endHours":7.53007105406955,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.53007105406955,"endHours":8.53007105406955,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.53007105406955,"endHours":9.53007105406955,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.53007105406955,"endHours":10.53007105406955,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.53007105406955,"endHours":11.53007105406955,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.53007105406955,"endHours":12.53007105406955,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.53007105406955,"endHours":13.53007105406955,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.53007105406955,"endHours":14.53007105406955,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.53007105406955,"endHours":15.53007105406955,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.53007105406955,"endHours":16.530071054069552,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.530071054069552,"endHours":17.530071054069552,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.530071054069552,"endHours":18.530071054069552,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.530071054069552,"endHours":19.530071054069552,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.530071054069552,"endHours":20.530071054069552,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.530071054069552,"endHours":21.530071054069552,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.530071054069552,"endHours":22.530071054069552,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.530071054069552,"endHours":23.530071054069552,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.530071054069552,"endHours":24.530071054069552,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.530071054069552,"endHours":25.530071054069552,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.530071054069552,"endHours":26.530071054069552,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.530071054069552,"endHours":27.530071054069552,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.530071054069552,"endHours":28.530071054069552,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.530071054069552,"endHours":29.530071054069552,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.530071054069552,"endHours":30.530071054069552,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.620257372845714,"eotMinutes":-11.536103308339323,"ayanamsa":24.4824}},"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 Caturthī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"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":"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 22, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 22, 2045 CE for Ranchi, Jharkhand: Śukla Caturthī, sūryodaya 06:32, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-01-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-01-22","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-01-22","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-01-22","x-default":"https://vidhyamitra.com/city/ranchi/2045-01-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:42:48.177Z","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":"2026-06-01T09:42:48.177Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:42:48.177Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}