{"id":"vidhyamitra:city-day:ranchi:2133-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2133-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2133-10-31","date_display":"October 31, 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":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500425.770833,"kali_year":5235,"ahargana":1911960.2708,"sun":{"sidereal_longitude":190.9525,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":227.9319,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.9794,"elapsed_within_tithi_degrees":0.9794},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.9319,"elapsed_within_degrees":1.2652},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.8844},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2500425.770833,"ahargana":1911960.2708,"kali_year":5235,"ayanamsa_lahiri":25.7225,"grahas":{"sun":{"sidereal_longitude":191.97130600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":226.87080600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-0.9951},"mars":{"sidereal_longitude":70.53630599999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":174.38520600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":124.00230599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":229.92920600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.67780600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":35.1439,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.1439,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500425.770833,"kali_year":5235,"ahargana":1911960.2708,"sun":{"sidereal_longitude":190.9525,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":227.9319,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.9794,"elapsed_within_tithi_degrees":0.9794},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.9319,"elapsed_within_degrees":1.2652},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.8844},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.995,"elongation":36.979},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.995,"opposition_distance":143.021}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.611,"opposition_distance":2.604}]},"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":"05:53","sunsetLocal":"17:11","solarNoonLocal":"11:32","dayLengthHours":11.29709472250153,"dayLengthDisplay":"11 Hours 17 Mins 50 Secs","nightLengthDisplay":"12 Hours 42 Mins 10 Secs","moonriseLocal":"08:30","moonsetLocal":"19:14","rahuKala":{"name":"Rāhu Kāla","start":"08:43","end":"10:08","startHours":8.714206660199146,"endHours":10.126343500511839,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:57","end":"14:22","startHours":12.95061718113722,"endHours":14.362754021449913,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:53","end":"07:18","startHours":5.889932979573764,"endHours":7.302069819886455,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:54","startHours":8.525921748157455,"endHours":8.902491572240839,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:40","startHours":6.3606452596779945,"endHours":6.661901118944702,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:55","startHours":11.161910516741145,"endHours":11.915050164907914,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:08","startHours":4.383653683240227,"endHours":5.136793331406995,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:53","startHours":4.948508419365304,"endHours":5.889932979573764,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:25","end":"14:10","startHours":13.421329461241452,"endHours":14.174469109408221,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.987027702075295,"endHours":17.387027702075294,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:39","startHours":17.187027702075294,"endHours":17.657739982179525,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.937027702075294,"endHours":18.687027702075294,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:55","startHours":23.161910516741145,"endHours":23.91505016490791,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:53","end":"07:18","startHours":5.889932979573764,"endHours":7.302069819886455,"quality":"inauspicious"},{"name":"Śubha","start":"07:18","end":"08:43","startHours":7.302069819886455,"endHours":8.714206660199146,"quality":"auspicious"},{"name":"Roga","start":"08:43","end":"10:08","startHours":8.714206660199146,"endHours":10.126343500511839,"quality":"inauspicious"},{"name":"Udveg","start":"10:08","end":"11:32","startHours":10.126343500511839,"endHours":11.53848034082453,"quality":"inauspicious"},{"name":"Chala","start":"11:32","end":"12:57","startHours":11.53848034082453,"endHours":12.95061718113722,"quality":"neutral"},{"name":"Labha","start":"12:57","end":"14:22","startHours":12.95061718113722,"endHours":14.362754021449913,"quality":"auspicious"},{"name":"Amṛta","start":"14:22","end":"15:46","startHours":14.362754021449913,"endHours":15.774890861762604,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:11","startHours":15.774890861762604,"endHours":17.187027702075294,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:11","end":"18:46","startHours":17.187027702075294,"endHours":18.774890861762604,"quality":"auspicious"},{"name":"Amṛta","start":"18:46","end":"20:22","startHours":18.774890861762604,"endHours":20.362754021449913,"quality":"auspicious"},{"name":"Kāla","start":"20:22","end":"21:57","startHours":20.362754021449913,"endHours":21.95061718113722,"quality":"inauspicious"},{"name":"Śubha","start":"21:57","end":"23:32","startHours":21.95061718113722,"endHours":23.538480340824528,"quality":"auspicious"},{"name":"Roga","start":"23:32","end":"01:08","startHours":23.538480340824528,"endHours":25.126343500511837,"quality":"inauspicious"},{"name":"Udveg","start":"01:08","end":"02:43","startHours":25.126343500511837,"endHours":26.714206660199146,"quality":"inauspicious"},{"name":"Chala","start":"02:43","end":"04:18","startHours":26.714206660199146,"endHours":28.302069819886455,"quality":"neutral"},{"name":"Labha","start":"04:18","end":"05:53","startHours":28.302069819886455,"endHours":29.889932979573764,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.889932979573764,"endHours":6.889932979573764,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.889932979573764,"endHours":7.889932979573764,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.889932979573764,"endHours":8.889932979573764,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.889932979573764,"endHours":9.889932979573764,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.889932979573764,"endHours":10.889932979573764,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.889932979573764,"endHours":11.889932979573764,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.889932979573764,"endHours":12.889932979573764,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.889932979573764,"endHours":13.889932979573764,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.889932979573764,"endHours":14.889932979573764,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.889932979573764,"endHours":15.889932979573764,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.889932979573764,"endHours":16.889932979573764,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.889932979573764,"endHours":17.889932979573764,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.889932979573764,"endHours":18.889932979573764,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.889932979573764,"endHours":19.889932979573764,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.889932979573764,"endHours":20.889932979573764,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.889932979573764,"endHours":21.889932979573764,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.889932979573764,"endHours":22.889932979573764,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.889932979573764,"endHours":23.889932979573764,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.889932979573764,"endHours":24.889932979573764,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.889932979573764,"endHours":25.889932979573764,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.889932979573764,"endHours":26.889932979573764,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.889932979573764,"endHours":27.889932979573764,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.889932979573764,"endHours":28.889932979573764,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.889932979573764,"endHours":29.889932979573764,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.074901406574886,"eotMinutes":16.45277955052819,"ayanamsa":25.7225}},"calendars":{"vikram_samvat":2190,"vikram_samvatsara":"Parābhava","saka_samvat":2055,"saka_samvatsara":"Vijaya","bengali_samvat":1540,"malayalam_era":1309,"nanakshahi_year":664,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Caturthī · Vikram 2190 Parābhava · Śaka 2055 Vijaya"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 31, 2133 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 31, 2133 CE for Ranchi, Jharkhand: Śukla Caturthī, sūryodaya 05:53, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2133-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2133-10-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2133-10-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2133-10-31","x-default":"https://vidhyamitra.com/city/ranchi/2133-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:09:36.846Z","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":"2026-06-03T09:09:36.846Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:09:36.846Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}