{"id":"vidhyamitra:city-day:ranchi:2149-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2149-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2149-12-13","date_display":"December 13, 2149 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":2149,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2506312.770833,"kali_year":5251,"ahargana":1917847.2708,"sun":{"sidereal_longitude":234.4525,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":29.7258,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2734,"elapsed_within_tithi_degrees":11.2734},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.7258,"elapsed_within_degrees":3.0591},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.1783},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2149,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2506312.770833,"ahargana":1917847.2708,"kali_year":5251,"ayanamsa_lahiri":25.9477,"grahas":{"sun":{"sidereal_longitude":235.22997899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":28.977979000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-3.6159},"mars":{"sidereal_longitude":224.445379,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":220.076779,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":234.32017900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":214.91037900000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":57.162679000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":83.2223,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":263.2223,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva 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":2149,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2506312.770833,"kali_year":5251,"ahargana":1917847.2708,"sun":{"sidereal_longitude":234.4525,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":29.7258,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2734,"elapsed_within_tithi_degrees":11.2734},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.7258,"elapsed_within_degrees":3.0591},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.1783},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.616,"elongation":155.273},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.616,"opposition_distance":24.727}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":0.781,"elongation":0.415}]},"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":"06:22","sunsetLocal":"17:05","solarNoonLocal":"11:44","dayLengthHours":10.716290810011987,"dayLengthDisplay":"10 Hours 42 Mins 59 Secs","nightLengthDisplay":"13 Hours 17 Mins 01 Secs","moonriseLocal":"15:22","moonsetLocal":"04:36","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:23","startHours":9.048776460006701,"endHours":10.3883128112582,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:04","end":"14:24","startHours":13.067385513761195,"endHours":14.406921865012695,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:22","end":"07:43","startHours":6.3697037575037045,"endHours":7.709240108755203,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:14","startHours":8.870171613173168,"endHours":9.227381306840234,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:06","startHours":6.816215874587537,"endHours":7.1019836295211904,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:05","startHours":11.370639468842631,"endHours":12.085058856176763,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:39","startHours":4.940864982835439,"endHours":5.655284370169572,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:22","startHours":5.476679523336039,"endHours":6.3697037575037045,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:14","startHours":13.51389763084503,"endHours":14.228317018179162,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:53","end":"17:17","startHours":16.88599456751569,"endHours":17.28599456751569,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:05","end":"17:32","startHours":17.08599456751569,"endHours":17.532506684599525,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:50","end":"18:35","startHours":16.83599456751569,"endHours":18.58599456751569,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:05","startHours":23.370639468842633,"endHours":24.085058856176765,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:22","end":"07:43","startHours":6.3697037575037045,"endHours":7.709240108755203,"quality":"inauspicious"},{"name":"Śubha","start":"07:43","end":"09:03","startHours":7.709240108755203,"endHours":9.048776460006701,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:23","startHours":9.048776460006701,"endHours":10.3883128112582,"quality":"inauspicious"},{"name":"Udveg","start":"10:23","end":"11:44","startHours":10.3883128112582,"endHours":11.727849162509699,"quality":"inauspicious"},{"name":"Chala","start":"11:44","end":"13:04","startHours":11.727849162509699,"endHours":13.067385513761195,"quality":"neutral"},{"name":"Labha","start":"13:04","end":"14:24","startHours":13.067385513761195,"endHours":14.406921865012695,"quality":"auspicious"},{"name":"Amṛta","start":"14:24","end":"15:45","startHours":14.406921865012695,"endHours":15.746458216264195,"quality":"auspicious"},{"name":"Kāla","start":"15:45","end":"17:05","startHours":15.746458216264195,"endHours":17.08599456751569,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:05","end":"18:45","startHours":17.08599456751569,"endHours":18.74645821626419,"quality":"auspicious"},{"name":"Amṛta","start":"18:45","end":"20:24","startHours":18.74645821626419,"endHours":20.406921865012695,"quality":"auspicious"},{"name":"Kāla","start":"20:24","end":"22:04","startHours":20.406921865012695,"endHours":22.067385513761195,"quality":"inauspicious"},{"name":"Śubha","start":"22:04","end":"23:44","startHours":22.067385513761195,"endHours":23.7278491625097,"quality":"auspicious"},{"name":"Roga","start":"23:44","end":"01:23","startHours":23.7278491625097,"endHours":25.3883128112582,"quality":"inauspicious"},{"name":"Udveg","start":"01:23","end":"03:03","startHours":25.3883128112582,"endHours":27.0487764600067,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:43","startHours":27.0487764600067,"endHours":28.709240108755203,"quality":"neutral"},{"name":"Labha","start":"04:43","end":"06:22","startHours":28.709240108755203,"endHours":30.369703757503704,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.3697037575037045,"endHours":7.3697037575037045,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.3697037575037045,"endHours":8.369703757503704,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.369703757503704,"endHours":9.369703757503704,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.369703757503704,"endHours":10.369703757503704,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.369703757503704,"endHours":11.369703757503704,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.369703757503704,"endHours":12.369703757503704,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.369703757503704,"endHours":13.369703757503704,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.369703757503704,"endHours":14.369703757503704,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.369703757503704,"endHours":15.369703757503704,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.369703757503704,"endHours":16.369703757503704,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.369703757503704,"endHours":17.369703757503704,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.369703757503704,"endHours":18.369703757503704,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.369703757503704,"endHours":19.369703757503704,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.369703757503704,"endHours":20.369703757503704,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.369703757503704,"endHours":21.369703757503704,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.369703757503704,"endHours":22.369703757503704,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.369703757503704,"endHours":23.369703757503704,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.369703757503704,"endHours":24.369703757503704,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.369703757503704,"endHours":25.369703757503704,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.369703757503704,"endHours":26.369703757503704,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.369703757503704,"endHours":27.369703757503704,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.369703757503704,"endHours":28.369703757503704,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.369703757503704,"endHours":29.369703757503704,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.369703757503704,"endHours":30.369703757503704,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.142965576792736,"eotMinutes":5.090650249418121,"ayanamsa":25.9477}},"calendars":{"vikram_samvat":2206,"vikram_samvatsara":"Dundubhi","saka_samvat":2071,"saka_samvatsara":"Saumya","bengali_samvat":1556,"malayalam_era":1325,"nanakshahi_year":680,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2206 Dundubhi · Śaka 2071 Saumya"},"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":"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 December 13, 2149 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 13, 2149 CE for Ranchi, Jharkhand: Śukla Trayodaśī, sūryodaya 06:22, sūryāsta 17:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2149-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2149-12-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2149-12-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2149-12-13","x-default":"https://vidhyamitra.com/city/ranchi/2149-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:55:43.681Z","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":"2026-06-01T06:55:43.681Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:55:43.681Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}