{"id":"vidhyamitra:city-day:ranchi:2139-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2139-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-01-13","date_display":"January 13, 2139 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":2139,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502325.770833,"kali_year":5240,"ahargana":1913860.2708,"sun":{"sidereal_longitude":266.1399,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":62.0902,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.9502,"elapsed_within_tithi_degrees":11.9502},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.0902,"elapsed_within_degrees":8.7568},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.2301},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2139,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502325.770833,"ahargana":1913860.2708,"kali_year":5240,"ayanamsa_lahiri":25.7952,"grahas":{"sun":{"sidereal_longitude":266.615912,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":62.300512000000026,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":3.5631},"mars":{"sidereal_longitude":284.32571200000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":273.493112,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":262.95991200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":221.908912,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":279.496312,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":294.4727,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.4727,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2139,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502325.770833,"kali_year":5240,"ahargana":1913860.2708,"sun":{"sidereal_longitude":266.1399,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":62.0902,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.9502,"elapsed_within_tithi_degrees":11.9502},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.0902,"elapsed_within_degrees":8.7568},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.2301},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.563,"elongation":155.95},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.563,"opposition_distance":24.05}},"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":"06:33","sunsetLocal":"17:22","solarNoonLocal":"11:57","dayLengthHours":10.821794957967565,"dayLengthDisplay":"10 Hours 49 Mins 18 Secs","nightLengthDisplay":"13 Hours 10 Mins 42 Secs","moonriseLocal":"15:34","moonsetLocal":"05:06","rahuKala":{"name":"Rāhu Kāla","start":"14:40","end":"16:01","startHours":14.662074264348117,"endHours":16.014798634094063,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:15","end":"10:36","startHours":9.251176785364336,"endHours":10.603901155110282,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:57","end":"13:19","startHours":11.956625524856229,"endHours":13.309349894602175,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.070813536064877,"endHours":9.431540034663795,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.996636169121094,"endHours":7.285217368000229,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:19","startHours":11.595899026257309,"endHours":12.317352023455145,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.102822051476769,"endHours":5.8242750486746075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:33","startHours":5.6439117993751475,"endHours":6.545728045872445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:29","startHours":13.760258017850823,"endHours":14.481711015048662,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.16752300384001,"endHours":17.56752300384001,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:49","startHours":17.36752300384001,"endHours":17.818431127088658,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.11752300384001,"endHours":18.86752300384001,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:19","startHours":23.59589902625731,"endHours":24.317352023455147,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:33","end":"07:54","startHours":6.545728045872445,"endHours":7.89845241561839,"quality":"inauspicious"},{"name":"Udveg","start":"07:54","end":"09:15","startHours":7.89845241561839,"endHours":9.251176785364336,"quality":"inauspicious"},{"name":"Chala","start":"09:15","end":"10:36","startHours":9.251176785364336,"endHours":10.603901155110282,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"11:57","startHours":10.603901155110282,"endHours":11.956625524856229,"quality":"auspicious"},{"name":"Amṛta","start":"11:57","end":"13:19","startHours":11.956625524856229,"endHours":13.309349894602175,"quality":"auspicious"},{"name":"Kāla","start":"13:19","end":"14:40","startHours":13.309349894602175,"endHours":14.662074264348117,"quality":"inauspicious"},{"name":"Śubha","start":"14:40","end":"16:01","startHours":14.662074264348117,"endHours":16.014798634094063,"quality":"auspicious"},{"name":"Roga","start":"16:01","end":"17:22","startHours":16.014798634094063,"endHours":17.36752300384001,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:22","end":"19:01","startHours":17.36752300384001,"endHours":19.014798634094063,"quality":"inauspicious"},{"name":"Śubha","start":"19:01","end":"20:40","startHours":19.014798634094063,"endHours":20.662074264348117,"quality":"auspicious"},{"name":"Roga","start":"20:40","end":"22:19","startHours":20.662074264348117,"endHours":22.30934989460217,"quality":"inauspicious"},{"name":"Udveg","start":"22:19","end":"23:57","startHours":22.30934989460217,"endHours":23.95662552485623,"quality":"inauspicious"},{"name":"Chala","start":"23:57","end":"01:36","startHours":23.95662552485623,"endHours":25.60390115511028,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:15","startHours":25.60390115511028,"endHours":27.251176785364336,"quality":"auspicious"},{"name":"Amṛta","start":"03:15","end":"04:54","startHours":27.251176785364336,"endHours":28.89845241561839,"quality":"auspicious"},{"name":"Kāla","start":"04:54","end":"06:33","startHours":28.89845241561839,"endHours":30.545728045872444,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.545728045872445,"endHours":7.545728045872445,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.545728045872445,"endHours":8.545728045872444,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.545728045872444,"endHours":9.545728045872444,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.545728045872444,"endHours":10.545728045872444,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.545728045872444,"endHours":11.545728045872444,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.545728045872444,"endHours":12.545728045872444,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.545728045872444,"endHours":13.545728045872444,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.545728045872444,"endHours":14.545728045872444,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.545728045872444,"endHours":15.545728045872444,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.545728045872444,"endHours":16.545728045872444,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.545728045872444,"endHours":17.545728045872444,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.545728045872444,"endHours":18.545728045872444,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.545728045872444,"endHours":19.545728045872444,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.545728045872444,"endHours":20.545728045872444,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.545728045872444,"endHours":21.545728045872444,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.545728045872444,"endHours":22.545728045872444,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.545728045872444,"endHours":23.545728045872444,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.545728045872444,"endHours":24.545728045872444,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.545728045872444,"endHours":25.545728045872444,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.545728045872444,"endHours":26.545728045872444,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.545728045872444,"endHours":27.545728045872444,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.545728045872444,"endHours":28.545728045872444,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.545728045872444,"endHours":29.545728045872444,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.545728045872444,"endHours":30.545728045872444,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.573382179752677,"eotMinutes":-8.635931491373626,"ayanamsa":25.7952}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"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":"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 13, 2139 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 13, 2139 CE for Ranchi, Jharkhand: Śukla Trayodaśī, sūryodaya 06:33, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2139-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2139-01-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2139-01-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2139-01-13","x-default":"https://vidhyamitra.com/city/ranchi/2139-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-26T00:34:17.702Z","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":"2026-05-26T00:34:17.702Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-26T00:34:17.702Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}