{"id":"vidhyamitra:city-day:ranchi:2168-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2168-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-01-05","date_display":"January 5, 2168 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":2168,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512909.770833,"kali_year":5269,"ahargana":1924444.2708,"sun":{"sidereal_longitude":257.3984,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":197.0707,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.6723,"elapsed_within_tithi_degrees":11.6723},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.0707,"elapsed_within_degrees":10.404},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.4691},"karana":{"half_tithi_index":49,"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":2168,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512909.770833,"ahargana":1924444.2708,"kali_year":5269,"ayanamsa_lahiri":26.2,"grahas":{"sun":{"sidereal_longitude":258.01822500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":200.18422499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":4.3774},"mars":{"sidereal_longitude":116.216925,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":253.431425,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":71.81412499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":228.70862499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":273.4310250000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":93.6815,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.6815,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2168,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512909.770833,"kali_year":5269,"ahargana":1924444.2708,"sun":{"sidereal_longitude":257.3984,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":197.0707,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.6723,"elapsed_within_tithi_degrees":11.6723},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.0707,"elapsed_within_degrees":10.404},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.4691},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.377,"elongation":60.328},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.377,"opposition_distance":119.672}},"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":10.747821332592189,"dayLengthDisplay":"10 Hours 44 Mins 52 Secs","nightLengthDisplay":"13 Hours 15 Mins 08 Secs","moonriseLocal":"02:30","moonsetLocal":"13:36","rahuKala":{"name":"Rāhu Kāla","start":"14:35","end":"15:56","startHours":14.590528176884096,"endHours":15.93400584345812,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:13","end":"10:34","startHours":9.216617510588001,"endHours":10.560095177162026,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:15","startHours":11.90357284373605,"endHours":13.247050510310073,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:24","startHours":9.037487155044799,"endHours":9.395747866131206,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.977488066297963,"endHours":7.264096635167088,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:16","startHours":11.545312132649643,"endHours":12.261833554822458,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.09661933309433,"endHours":5.813140755267143,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.634010399723939,"endHours":6.529662177439955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:25","startHours":13.69487639916808,"endHours":14.411397821340893,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.077483510032145,"endHours":17.477483510032144,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:44","startHours":17.277483510032145,"endHours":17.725309398890154,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.027483510032145,"endHours":18.777483510032145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:16","startHours":23.545312132649645,"endHours":24.261833554822456,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:32","end":"07:52","startHours":6.529662177439955,"endHours":7.873139844013979,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:13","startHours":7.873139844013979,"endHours":9.216617510588001,"quality":"inauspicious"},{"name":"Chala","start":"09:13","end":"10:34","startHours":9.216617510588001,"endHours":10.560095177162026,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"11:54","startHours":10.560095177162026,"endHours":11.90357284373605,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:15","startHours":11.90357284373605,"endHours":13.247050510310073,"quality":"auspicious"},{"name":"Kāla","start":"13:15","end":"14:35","startHours":13.247050510310073,"endHours":14.590528176884096,"quality":"inauspicious"},{"name":"Śubha","start":"14:35","end":"15:56","startHours":14.590528176884096,"endHours":15.93400584345812,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:17","startHours":15.93400584345812,"endHours":17.277483510032145,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:17","end":"18:56","startHours":17.277483510032145,"endHours":18.93400584345812,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:35","startHours":18.93400584345812,"endHours":20.5905281768841,"quality":"auspicious"},{"name":"Roga","start":"20:35","end":"22:15","startHours":20.5905281768841,"endHours":22.247050510310075,"quality":"inauspicious"},{"name":"Udveg","start":"22:15","end":"23:54","startHours":22.247050510310075,"endHours":23.90357284373605,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:34","startHours":23.90357284373605,"endHours":25.560095177162026,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"03:13","startHours":25.560095177162026,"endHours":27.216617510588,"quality":"auspicious"},{"name":"Amṛta","start":"03:13","end":"04:52","startHours":27.216617510588,"endHours":28.87313984401398,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:32","startHours":28.87313984401398,"endHours":30.529662177439956,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.529662177439955,"endHours":7.529662177439955,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.529662177439955,"endHours":8.529662177439956,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.529662177439956,"endHours":9.529662177439956,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.529662177439956,"endHours":10.529662177439956,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.529662177439956,"endHours":11.529662177439956,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.529662177439956,"endHours":12.529662177439956,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.529662177439956,"endHours":13.529662177439956,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.529662177439956,"endHours":14.529662177439956,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.529662177439956,"endHours":15.529662177439956,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.529662177439956,"endHours":16.529662177439956,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.529662177439956,"endHours":17.529662177439956,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.529662177439956,"endHours":18.529662177439956,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.529662177439956,"endHours":19.529662177439956,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.529662177439956,"endHours":20.529662177439956,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.529662177439956,"endHours":21.529662177439956,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.529662177439956,"endHours":22.529662177439956,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.529662177439956,"endHours":23.529662177439956,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.529662177439956,"endHours":24.529662177439956,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.529662177439956,"endHours":25.529662177439956,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.529662177439956,"endHours":26.529662177439956,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.529662177439956,"endHours":27.529662177439956,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.529662177439956,"endHours":28.529662177439956,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.529662177439956,"endHours":29.529662177439956,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.529662177439956,"endHours":30.529662177439956,"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","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":-22.677816576178184,"eotMinutes":-5.452770624163118,"ayanamsa":26.2}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"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 Daśamī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"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":[]},"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, 2168 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 5, 2168 CE for Ranchi, Jharkhand: Kṛṣṇa Daśamī, sūryodaya 06:32, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2168-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2168-01-05","sa":"https://sa.vidhyamitra.com/city/ranchi/2168-01-05","hi":"https://hi.vidhyamitra.com/city/ranchi/2168-01-05","x-default":"https://vidhyamitra.com/city/ranchi/2168-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:23:42.336Z","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":"2026-06-01T01:23:42.336Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:23:42.336Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}