{"id":"vidhyamitra:city-day:ranchi:2153-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2153-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2153-12-13","date_display":"December 13, 2153 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":2153,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507773.770833,"kali_year":5255,"ahargana":1919308.2708,"sun":{"sidereal_longitude":234.4166,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":201.4386,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.022,"elapsed_within_tithi_degrees":3.022},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.4386,"elapsed_within_degrees":1.4386},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.8551},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2153,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507773.770833,"ahargana":1919308.2708,"kali_year":5255,"ayanamsa_lahiri":26.0035,"grahas":{"sun":{"sidereal_longitude":235.20385799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":199.97675800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":-1.211},"mars":{"sidereal_longitude":253.85415799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":245.423358,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":351.373058,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":236.82795799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":116.389658,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":5.8115,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.8115,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"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":2153,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507773.770833,"kali_year":5255,"ahargana":1919308.2708,"sun":{"sidereal_longitude":234.4166,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":201.4386,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.022,"elapsed_within_tithi_degrees":3.022},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.4386,"elapsed_within_degrees":1.4386},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.8551},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.211,"elongation":32.978},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.211,"opposition_distance":147.022}},"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":"06:22","sunsetLocal":"17:05","solarNoonLocal":"11:44","dayLengthHours":10.716157080422331,"dayLengthDisplay":"10 Hours 42 Mins 58 Secs","nightLengthDisplay":"13 Hours 17 Mins 02 Secs","moonriseLocal":"03:50","moonsetLocal":"14:56","rahuKala":{"name":"Rāhu Kāla","start":"13:04","end":"14:24","startHours":13.067368797562487,"endHours":14.406888432615279,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:22","end":"07:43","startHours":6.369770622298531,"endHours":7.709290257351322,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:23","startHours":9.048809892404114,"endHours":10.388329527456904,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:14","startHours":8.870207274397075,"endHours":9.227412510411153,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:06","startHours":6.816277167316128,"endHours":7.1020413561273905,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:05","startHours":11.37064392649562,"endHours":12.085054398523775,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:39","startHours":4.9409496782422195,"endHours":5.655360150270376,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:22","startHours":5.476757532263337,"endHours":6.369770622298531,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:14","startHours":13.513875342580086,"endHours":14.228285814608242,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:53","end":"17:17","startHours":16.885927702720863,"endHours":17.285927702720862,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:05","end":"17:32","startHours":17.085927702720863,"endHours":17.53243424773846,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:50","end":"18:35","startHours":16.835927702720863,"endHours":18.585927702720863,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:05","startHours":23.37064392649562,"endHours":24.085054398523777,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:22","end":"07:43","startHours":6.369770622298531,"endHours":7.709290257351322,"quality":"auspicious"},{"name":"Roga","start":"07:43","end":"09:03","startHours":7.709290257351322,"endHours":9.048809892404114,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:23","startHours":9.048809892404114,"endHours":10.388329527456904,"quality":"inauspicious"},{"name":"Chala","start":"10:23","end":"11:44","startHours":10.388329527456904,"endHours":11.727849162509695,"quality":"neutral"},{"name":"Labha","start":"11:44","end":"13:04","startHours":11.727849162509695,"endHours":13.067368797562487,"quality":"auspicious"},{"name":"Amṛta","start":"13:04","end":"14:24","startHours":13.067368797562487,"endHours":14.406888432615279,"quality":"auspicious"},{"name":"Kāla","start":"14:24","end":"15:45","startHours":14.406888432615279,"endHours":15.74640806766807,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:05","startHours":15.74640806766807,"endHours":17.085927702720863,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:05","end":"18:45","startHours":17.085927702720863,"endHours":18.74640806766807,"quality":"auspicious"},{"name":"Kāla","start":"18:45","end":"20:24","startHours":18.74640806766807,"endHours":20.40688843261528,"quality":"inauspicious"},{"name":"Śubha","start":"20:24","end":"22:04","startHours":20.40688843261528,"endHours":22.067368797562487,"quality":"auspicious"},{"name":"Roga","start":"22:04","end":"23:44","startHours":22.067368797562487,"endHours":23.7278491625097,"quality":"inauspicious"},{"name":"Udveg","start":"23:44","end":"01:23","startHours":23.7278491625097,"endHours":25.388329527456904,"quality":"inauspicious"},{"name":"Chala","start":"01:23","end":"03:03","startHours":25.388329527456904,"endHours":27.048809892404115,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:43","startHours":27.048809892404115,"endHours":28.709290257351324,"quality":"auspicious"},{"name":"Amṛta","start":"04:43","end":"06:22","startHours":28.709290257351324,"endHours":30.36977062229853,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.369770622298531,"endHours":7.369770622298531,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.369770622298531,"endHours":8.369770622298532,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.369770622298532,"endHours":9.369770622298532,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.369770622298532,"endHours":10.369770622298532,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.369770622298532,"endHours":11.369770622298532,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.369770622298532,"endHours":12.369770622298532,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.369770622298532,"endHours":13.369770622298532,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.369770622298532,"endHours":14.369770622298532,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.369770622298532,"endHours":15.369770622298532,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.369770622298532,"endHours":16.36977062229853,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.36977062229853,"endHours":17.36977062229853,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.36977062229853,"endHours":18.36977062229853,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.36977062229853,"endHours":19.36977062229853,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.36977062229853,"endHours":20.36977062229853,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.36977062229853,"endHours":21.36977062229853,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.36977062229853,"endHours":22.36977062229853,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.36977062229853,"endHours":23.36977062229853,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.36977062229853,"endHours":24.36977062229853,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.36977062229853,"endHours":25.36977062229853,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.36977062229853,"endHours":26.36977062229853,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.36977062229853,"endHours":27.36977062229853,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.36977062229853,"endHours":28.36977062229853,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.36977062229853,"endHours":29.36977062229853,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.36977062229853,"endHours":30.36977062229853,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","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":-23.144931182319194,"eotMinutes":5.090650249418121,"ayanamsa":26.0035}},"calendars":{"vikram_samvat":2210,"vikram_samvatsara":"Akṣaya","saka_samvat":2075,"saka_samvatsara":"Pramādī","bengali_samvat":1560,"malayalam_era":1329,"nanakshahi_year":684,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Trayodaśī · Vikram 2210 Akṣaya · Śaka 2075 Pramādī"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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, 2153 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 13, 2153 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 06:22, sūryāsta 17:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2153-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2153-12-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2153-12-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2153-12-13","x-default":"https://vidhyamitra.com/city/ranchi/2153-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:15:24.062Z","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":"2026-06-01T08:15:24.062Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:15:24.062Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}