{"id":"vidhyamitra:city-day:ranchi:2148-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2148-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2148-01-03","date_display":"January 3, 2148 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":2148,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505602.770833,"kali_year":5249,"ahargana":1917137.2708,"sun":{"sidereal_longitude":255.5222,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.8569,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.3347,"elapsed_within_tithi_degrees":1.3347},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.8569,"elapsed_within_degrees":0.8569},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.3792},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2148,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2505602.770833,"ahargana":1917137.2708,"kali_year":5249,"ayanamsa_lahiri":25.9205,"grahas":{"sun":{"sidereal_longitude":256.111706,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":41.102506000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.4313},"mars":{"sidereal_longitude":224.93550600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":265.592406,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":188.94820600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":296.37290600000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":25.90310599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":120.8415,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":300.8415,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2148,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505602.770833,"kali_year":5249,"ahargana":1917137.2708,"sun":{"sidereal_longitude":255.5222,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.8569,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.3347,"elapsed_within_tithi_degrees":1.3347},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.8569,"elapsed_within_degrees":0.8569},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.3792},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.431,"elongation":145.335},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.431,"opposition_distance":34.665}},"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":"06:31","sunsetLocal":"17:15","solarNoonLocal":"11:53","dayLengthHours":10.733334645311992,"dayLengthDisplay":"10 Hours 44 Mins 00 Secs","nightLengthDisplay":"13 Hours 16 Mins 00 Secs","moonriseLocal":"14:51","moonsetLocal":"04:15","rahuKala":{"name":"Rāhu Kāla","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.230850511174967,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:12","startHours":7.864183188518972,"endHours":9.205850019182972,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"11:53","startHours":10.54751684984697,"endHours":11.889183680510968,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.02696110842777,"endHours":9.38473892993817,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.969738634742972,"endHours":7.255960891951292,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.531405859000568,"endHours":12.246961502021367,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.091405071813374,"endHours":5.806960714834173,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.6280718040789735,"endHours":6.522516357854973,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.678072788062966,"endHours":14.393628431083766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.055851003166964,"endHours":17.455851003166963,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:42","startHours":17.255851003166963,"endHours":17.703073280054962,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":17.005851003166963,"endHours":18.755851003166963,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.531405859000568,"endHours":24.246961502021367,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:31","end":"07:52","startHours":6.522516357854973,"endHours":7.864183188518972,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:12","startHours":7.864183188518972,"endHours":9.205850019182972,"quality":"auspicious"},{"name":"Kāla","start":"09:12","end":"10:33","startHours":9.205850019182972,"endHours":10.54751684984697,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"11:53","startHours":10.54751684984697,"endHours":11.889183680510968,"quality":"auspicious"},{"name":"Roga","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.230850511174967,"quality":"inauspicious"},{"name":"Udveg","start":"13:14","end":"14:34","startHours":13.230850511174967,"endHours":14.572517341838967,"quality":"inauspicious"},{"name":"Chala","start":"14:34","end":"15:55","startHours":14.572517341838967,"endHours":15.914184172502964,"quality":"neutral"},{"name":"Labha","start":"15:55","end":"17:15","startHours":15.914184172502964,"endHours":17.255851003166963,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:15","end":"18:55","startHours":17.255851003166963,"endHours":18.914184172502964,"quality":"inauspicious"},{"name":"Chala","start":"18:55","end":"20:34","startHours":18.914184172502964,"endHours":20.572517341838967,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"22:14","startHours":20.572517341838967,"endHours":22.230850511174967,"quality":"auspicious"},{"name":"Amṛta","start":"22:14","end":"23:53","startHours":22.230850511174967,"endHours":23.889183680510968,"quality":"auspicious"},{"name":"Kāla","start":"23:53","end":"01:33","startHours":23.889183680510968,"endHours":25.547516849846968,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"03:12","startHours":25.547516849846968,"endHours":27.205850019182968,"quality":"auspicious"},{"name":"Roga","start":"03:12","end":"04:52","startHours":27.205850019182968,"endHours":28.86418318851897,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:31","startHours":28.86418318851897,"endHours":30.522516357854972,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.522516357854973,"endHours":7.522516357854973,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.522516357854973,"endHours":8.522516357854972,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.522516357854972,"endHours":9.522516357854972,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.522516357854972,"endHours":10.522516357854972,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.522516357854972,"endHours":11.522516357854972,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.522516357854972,"endHours":12.522516357854972,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.522516357854972,"endHours":13.522516357854972,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.522516357854972,"endHours":14.522516357854972,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.522516357854972,"endHours":15.522516357854972,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.522516357854972,"endHours":16.522516357854972,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.522516357854972,"endHours":17.522516357854972,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.522516357854972,"endHours":18.522516357854972,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.522516357854972,"endHours":19.522516357854972,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.522516357854972,"endHours":20.522516357854972,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.522516357854972,"endHours":21.522516357854972,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.522516357854972,"endHours":22.522516357854972,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.522516357854972,"endHours":23.522516357854972,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.522516357854972,"endHours":24.522516357854972,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.522516357854972,"endHours":25.522516357854972,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.522516357854972,"endHours":26.522516357854972,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.522516357854972,"endHours":27.522516357854972,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.522516357854972,"endHours":28.522516357854972,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.522516357854972,"endHours":29.522516357854972,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.522516357854972,"endHours":30.522516357854972,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","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":-22.89194928938308,"eotMinutes":-4.589420830658165,"ayanamsa":25.9205}},"calendars":{"vikram_samvat":2205,"vikram_samvatsara":"Durmati","saka_samvat":2070,"saka_samvatsara":"Kīlaka","bengali_samvat":1555,"malayalam_era":1324,"nanakshahi_year":679,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Trayodaśī · Vikram 2205 Durmati · Śaka 2070 Kīlaka"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 3, 2148 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 3, 2148 CE for Ranchi, Jharkhand: Śukla Trayodaśī, sūryodaya 06:31, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2148-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2148-01-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2148-01-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2148-01-03","x-default":"https://vidhyamitra.com/city/ranchi/2148-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:43:51.453Z","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":"2026-05-31T20:43:51.453Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:43:51.453Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}