{"id":"vidhyamitra:city-day:ranchi:2133-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2133-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2133-01-04","date_display":"January 4, 2133 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":2133,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500125.770833,"kali_year":5234,"ahargana":1911660.2708,"sun":{"sidereal_longitude":257.4565,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":229.962,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.5055,"elapsed_within_tithi_degrees":8.5055},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.962,"elapsed_within_degrees":3.2953},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.4185},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2133,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2500125.770833,"ahargana":1911660.2708,"kali_year":5234,"ayanamsa_lahiri":25.711,"grahas":{"sun":{"sidereal_longitude":257.9934679999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":231.388468,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":0.0845},"mars":{"sidereal_longitude":232.054668,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":266.65906799999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":93.62276800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":244.78506800000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":217.95246799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.0393,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.0393,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":2133,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500125.770833,"kali_year":5234,"ahargana":1911660.2708,"sun":{"sidereal_longitude":257.4565,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":229.962,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.5055,"elapsed_within_tithi_degrees":8.5055},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":229.962,"elapsed_within_degrees":3.2953},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.4185},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.085,"elongation":27.495},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.085,"opposition_distance":152.505}},"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":"17:16","solarNoonLocal":"11:54","dayLengthHours":10.744210394412574,"dayLengthDisplay":"10 Hours 44 Mins 39 Secs","nightLengthDisplay":"13 Hours 15 Mins 21 Secs","moonriseLocal":"04:46","moonsetLocal":"15:28","rahuKala":{"name":"Rāhu Kāla","start":"15:56","end":"17:16","startHours":15.925504012327151,"endHours":17.268530311628723,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239451413724009,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:35","end":"15:56","startHours":14.582477713025579,"endHours":15.925504012327151,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.031302342579082,"endHours":9.389442689059502,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.971995350316672,"endHours":7.258507627501007,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.538284767942017,"endHours":12.254565460902853,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:48","startHours":5.091758531294472,"endHours":5.80803922425531,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.628969051015101,"endHours":6.524319917216149,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.687126846824532,"endHours":14.40340753978537,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.068530311628724,"endHours":17.468530311628722,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:43","startHours":17.268530311628723,"endHours":17.716205744729248,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.018530311628723,"endHours":18.768530311628723,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.538284767942017,"endHours":24.254565460902853,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:31","end":"07:52","startHours":6.524319917216149,"endHours":7.867346216517721,"quality":"inauspicious"},{"name":"Chala","start":"07:52","end":"09:13","startHours":7.867346216517721,"endHours":9.210372515819293,"quality":"neutral"},{"name":"Labha","start":"09:13","end":"10:33","startHours":9.210372515819293,"endHours":10.553398815120865,"quality":"auspicious"},{"name":"Amṛta","start":"10:33","end":"11:54","startHours":10.553398815120865,"endHours":11.896425114422435,"quality":"auspicious"},{"name":"Kāla","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.239451413724009,"quality":"inauspicious"},{"name":"Śubha","start":"13:14","end":"14:35","startHours":13.239451413724009,"endHours":14.582477713025579,"quality":"auspicious"},{"name":"Roga","start":"14:35","end":"15:56","startHours":14.582477713025579,"endHours":15.925504012327151,"quality":"inauspicious"},{"name":"Udveg","start":"15:56","end":"17:16","startHours":15.925504012327151,"endHours":17.268530311628723,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:16","end":"18:56","startHours":17.268530311628723,"endHours":18.925504012327153,"quality":"auspicious"},{"name":"Roga","start":"18:56","end":"20:35","startHours":18.925504012327153,"endHours":20.58247771302558,"quality":"inauspicious"},{"name":"Udveg","start":"20:35","end":"22:14","startHours":20.58247771302558,"endHours":22.23945141372401,"quality":"inauspicious"},{"name":"Chala","start":"22:14","end":"23:54","startHours":22.23945141372401,"endHours":23.896425114422435,"quality":"neutral"},{"name":"Labha","start":"23:54","end":"01:33","startHours":23.896425114422435,"endHours":25.553398815120865,"quality":"auspicious"},{"name":"Amṛta","start":"01:33","end":"03:13","startHours":25.553398815120865,"endHours":27.210372515819294,"quality":"auspicious"},{"name":"Kāla","start":"03:13","end":"04:52","startHours":27.210372515819294,"endHours":28.86734621651772,"quality":"inauspicious"},{"name":"Śubha","start":"04:52","end":"06:31","startHours":28.86734621651772,"endHours":30.524319917216147,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.524319917216149,"endHours":7.524319917216149,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.524319917216149,"endHours":8.524319917216149,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.524319917216149,"endHours":9.524319917216149,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.524319917216149,"endHours":10.524319917216149,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.524319917216149,"endHours":11.524319917216149,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.524319917216149,"endHours":12.524319917216149,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.524319917216149,"endHours":13.524319917216149,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.524319917216149,"endHours":14.524319917216149,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.524319917216149,"endHours":15.524319917216149,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.524319917216149,"endHours":16.524319917216147,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.524319917216147,"endHours":17.524319917216147,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.524319917216147,"endHours":18.524319917216147,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.524319917216147,"endHours":19.524319917216147,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.524319917216147,"endHours":20.524319917216147,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.524319917216147,"endHours":21.524319917216147,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.524319917216147,"endHours":22.524319917216147,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.524319917216147,"endHours":23.524319917216147,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.524319917216147,"endHours":24.524319917216147,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.524319917216147,"endHours":25.524319917216147,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.524319917216147,"endHours":26.524319917216147,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.524319917216147,"endHours":27.524319917216147,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.524319917216147,"endHours":28.524319917216147,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.524319917216147,"endHours":29.524319917216147,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.524319917216147,"endHours":30.524319917216147,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","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":-22.731257727357608,"eotMinutes":-5.02390686534617,"ayanamsa":25.711}},"calendars":{"vikram_samvat":2190,"vikram_samvatsara":"Parābhava","saka_samvat":2055,"saka_samvatsara":"Vijaya","bengali_samvat":1540,"malayalam_era":1309,"nanakshahi_year":664,"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 Trayodaśī · Vikram 2190 Parābhava · Śaka 2055 Vijaya"},"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":"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 4, 2133 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 4, 2133 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 06:31, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2133-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2133-01-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2133-01-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2133-01-04","x-default":"https://vidhyamitra.com/city/ranchi/2133-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:10:28.806Z","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":"2026-05-31T14:10:28.806Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:10:28.806Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}