{"id":"vidhyamitra:city-day:ranchi:2106-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2106-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2106-01-04","date_display":"January 4, 2106 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":2106,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490263.770833,"kali_year":5207,"ahargana":1901798.2708,"sun":{"sidereal_longitude":257.4425,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":242.2327,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.7902,"elapsed_within_tithi_degrees":8.7902},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.2327,"elapsed_within_degrees":2.2327},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.6753},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2106,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490263.770833,"ahargana":1901798.2708,"kali_year":5207,"ayanamsa_lahiri":25.3338,"grahas":{"sun":{"sidereal_longitude":257.91586899999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":242.994369,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":2.1563},"mars":{"sidereal_longitude":135.849869,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":258.34776899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":335.140369,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":261.769669,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":242.76946899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":213.5755,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.5755,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":2106,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490263.770833,"kali_year":5207,"ahargana":1901798.2708,"sun":{"sidereal_longitude":257.4425,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":242.2327,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.7902,"elapsed_within_tithi_degrees":8.7902},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.2327,"elapsed_within_degrees":2.2327},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.6753},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.156,"elongation":15.21},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.156,"opposition_distance":164.79}},"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":"17:16","solarNoonLocal":"11:54","dayLengthHours":10.741119136015023,"dayLengthDisplay":"10 Hours 44 Mins 28 Secs","nightLengthDisplay":"13 Hours 15 Mins 32 Secs","moonriseLocal":"05:34","moonsetLocal":"16:14","rahuKala":{"name":"Rāhu Kāla","start":"07:52","end":"09:13","startHours":7.8685054384168005,"endHours":9.211145330418677,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:33","end":"11:54","startHours":10.553785222420556,"endHours":11.896425114422435,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:14","end":"14:35","startHours":13.239065006424312,"endHours":14.581704898426189,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.032126678151762,"endHours":9.390163982685596,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.973412177082215,"endHours":7.259842020709282,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.5383878098886,"endHours":12.254462418956269,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.093716328279586,"endHours":5.8097909373472545,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.6307722850803374,"endHours":6.525865546414923,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.686611637091605,"endHours":14.402686246159274,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.066984682429947,"endHours":17.466984682429946,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:43","startHours":17.266984682429946,"endHours":17.71453131309724,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.016984682429946,"endHours":18.766984682429946,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.5383878098886,"endHours":24.25446241895627,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:32","end":"07:52","startHours":6.525865546414923,"endHours":7.8685054384168005,"quality":"auspicious"},{"name":"Kāla","start":"07:52","end":"09:13","startHours":7.8685054384168005,"endHours":9.211145330418677,"quality":"inauspicious"},{"name":"Śubha","start":"09:13","end":"10:33","startHours":9.211145330418677,"endHours":10.553785222420556,"quality":"auspicious"},{"name":"Roga","start":"10:33","end":"11:54","startHours":10.553785222420556,"endHours":11.896425114422435,"quality":"inauspicious"},{"name":"Udveg","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239065006424312,"quality":"inauspicious"},{"name":"Chala","start":"13:14","end":"14:35","startHours":13.239065006424312,"endHours":14.581704898426189,"quality":"neutral"},{"name":"Labha","start":"14:35","end":"15:55","startHours":14.581704898426189,"endHours":15.92434479042807,"quality":"auspicious"},{"name":"Amṛta","start":"15:55","end":"17:16","startHours":15.92434479042807,"endHours":17.266984682429946,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:16","end":"18:55","startHours":17.266984682429946,"endHours":18.92434479042807,"quality":"neutral"},{"name":"Labha","start":"18:55","end":"20:35","startHours":18.92434479042807,"endHours":20.58170489842619,"quality":"auspicious"},{"name":"Amṛta","start":"20:35","end":"22:14","startHours":20.58170489842619,"endHours":22.239065006424312,"quality":"auspicious"},{"name":"Kāla","start":"22:14","end":"23:54","startHours":22.239065006424312,"endHours":23.896425114422435,"quality":"inauspicious"},{"name":"Śubha","start":"23:54","end":"01:33","startHours":23.896425114422435,"endHours":25.553785222420558,"quality":"auspicious"},{"name":"Roga","start":"01:33","end":"03:13","startHours":25.553785222420558,"endHours":27.21114533041868,"quality":"inauspicious"},{"name":"Udveg","start":"03:13","end":"04:52","startHours":27.21114533041868,"endHours":28.8685054384168,"quality":"inauspicious"},{"name":"Chala","start":"04:52","end":"06:32","startHours":28.8685054384168,"endHours":30.525865546414924,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.525865546414923,"endHours":7.525865546414923,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.525865546414923,"endHours":8.525865546414924,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.525865546414924,"endHours":9.525865546414924,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.525865546414924,"endHours":10.525865546414924,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.525865546414924,"endHours":11.525865546414924,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.525865546414924,"endHours":12.525865546414924,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.525865546414924,"endHours":13.525865546414924,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.525865546414924,"endHours":14.525865546414924,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.525865546414924,"endHours":15.525865546414924,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.525865546414924,"endHours":16.525865546414924,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.525865546414924,"endHours":17.525865546414924,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.525865546414924,"endHours":18.525865546414924,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.525865546414924,"endHours":19.525865546414924,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.525865546414924,"endHours":20.525865546414924,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.525865546414924,"endHours":21.525865546414924,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.525865546414924,"endHours":22.525865546414924,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.525865546414924,"endHours":23.525865546414924,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.525865546414924,"endHours":24.525865546414924,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.525865546414924,"endHours":25.525865546414924,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.525865546414924,"endHours":26.525865546414924,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.525865546414924,"endHours":27.525865546414924,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.525865546414924,"endHours":28.525865546414924,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.525865546414924,"endHours":29.525865546414924,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.525865546414924,"endHours":30.525865546414924,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-22.77697260138544,"eotMinutes":-5.02390686534617,"ayanamsa":25.3338}},"calendars":{"vikram_samvat":2163,"vikram_samvatsara":"Pramāthi","saka_samvat":2028,"saka_samvatsara":"Akṣaya","bengali_samvat":1513,"malayalam_era":1282,"nanakshahi_year":637,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Caturdaśī · Vikram 2163 Pramāthi · Śaka 2028 Akṣaya"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"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 4, 2106 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 4, 2106 CE for Ranchi, Jharkhand: Kṛṣṇa Caturdaśī, sūryodaya 06:32, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2106-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2106-01-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2106-01-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2106-01-04","x-default":"https://vidhyamitra.com/city/ranchi/2106-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T08:24:02.618Z","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":"2026-06-02T08:24:02.618Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T08:24:02.618Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}