{"id":"vidhyamitra:city-day:ranchi:2155-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2155-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2155-12-20","date_display":"December 20, 2155 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":2155,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508510.770833,"kali_year":5257,"ahargana":1920045.2708,"sun":{"sidereal_longitude":241.0652,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":186.8172,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":305.752,"elapsed_within_tithi_degrees":5.752},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.8172,"elapsed_within_degrees":0.1505},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.8824},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2155,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508510.770833,"ahargana":1920045.2708,"kali_year":5257,"ayanamsa_lahiri":26.0317,"grahas":{"sun":{"sidereal_longitude":241.80059899999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":185.72619899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-2.8941},"mars":{"sidereal_longitude":274.949699,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":231.746399,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":68.31789900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":279.98749900000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":143.08369900000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":326.7616,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":146.7616,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2155,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508510.770833,"kali_year":5257,"ahargana":1920045.2708,"sun":{"sidereal_longitude":241.0652,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":186.8172,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":305.752,"elapsed_within_tithi_degrees":5.752},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.8172,"elapsed_within_degrees":0.1505},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.8824},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.894,"elongation":54.248},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.894,"opposition_distance":125.752}},"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":"06:26","sunsetLocal":"17:08","solarNoonLocal":"11:47","dayLengthHours":10.69748848044079,"dayLengthDisplay":"10 Hours 41 Mins 51 Secs","nightLengthDisplay":"13 Hours 18 Mins 09 Secs","moonriseLocal":"02:21","moonsetLocal":"13:44","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:27","startHours":9.10745592118199,"endHours":10.444641981237087,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:07","end":"14:27","startHours":13.119014101347286,"endHours":14.456200161402384,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:26","end":"07:46","startHours":6.433083801071792,"endHours":7.7702698611268906,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:17","startHours":8.929164446507976,"endHours":9.285747395856003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:53","end":"07:10","startHours":6.878812487756825,"endHours":7.164078847235246,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:08","startHours":11.425245091944161,"endHours":12.138410990640212,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:43","startHours":5.006752003679686,"endHours":5.719917902375739,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:26","startHours":5.541626427701726,"endHours":6.433083801071792,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:17","startHours":13.56474278803232,"endHours":14.277908686728372,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:56","end":"17:20","startHours":16.930572281512582,"endHours":17.33057228151258,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:08","end":"17:35","startHours":17.13057228151258,"endHours":17.576300968197614,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:53","end":"18:38","startHours":16.88057228151258,"endHours":18.63057228151258,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:08","startHours":23.42524509194416,"endHours":24.138410990640214,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:26","end":"07:46","startHours":6.433083801071792,"endHours":7.7702698611268906,"quality":"inauspicious"},{"name":"Śubha","start":"07:46","end":"09:06","startHours":7.7702698611268906,"endHours":9.10745592118199,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:27","startHours":9.10745592118199,"endHours":10.444641981237087,"quality":"inauspicious"},{"name":"Udveg","start":"10:27","end":"11:47","startHours":10.444641981237087,"endHours":11.781828041292187,"quality":"inauspicious"},{"name":"Chala","start":"11:47","end":"13:07","startHours":11.781828041292187,"endHours":13.119014101347286,"quality":"neutral"},{"name":"Labha","start":"13:07","end":"14:27","startHours":13.119014101347286,"endHours":14.456200161402384,"quality":"auspicious"},{"name":"Amṛta","start":"14:27","end":"15:48","startHours":14.456200161402384,"endHours":15.793386221457482,"quality":"auspicious"},{"name":"Kāla","start":"15:48","end":"17:08","startHours":15.793386221457482,"endHours":17.13057228151258,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:08","end":"18:48","startHours":17.13057228151258,"endHours":18.79338622145748,"quality":"auspicious"},{"name":"Amṛta","start":"18:48","end":"20:27","startHours":18.79338622145748,"endHours":20.456200161402386,"quality":"auspicious"},{"name":"Kāla","start":"20:27","end":"22:07","startHours":20.456200161402386,"endHours":22.119014101347286,"quality":"inauspicious"},{"name":"Śubha","start":"22:07","end":"23:47","startHours":22.119014101347286,"endHours":23.781828041292187,"quality":"auspicious"},{"name":"Roga","start":"23:47","end":"01:27","startHours":23.781828041292187,"endHours":25.444641981237087,"quality":"inauspicious"},{"name":"Udveg","start":"01:27","end":"03:06","startHours":25.444641981237087,"endHours":27.107455921181987,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:46","startHours":27.107455921181987,"endHours":28.77026986112689,"quality":"neutral"},{"name":"Labha","start":"04:46","end":"06:26","startHours":28.77026986112689,"endHours":30.433083801071792,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.433083801071792,"endHours":7.433083801071792,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.433083801071792,"endHours":8.433083801071792,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.433083801071792,"endHours":9.433083801071792,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.433083801071792,"endHours":10.433083801071792,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.433083801071792,"endHours":11.433083801071792,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.433083801071792,"endHours":12.433083801071792,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.433083801071792,"endHours":13.433083801071792,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.433083801071792,"endHours":14.433083801071792,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.433083801071792,"endHours":15.433083801071792,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.433083801071792,"endHours":16.433083801071792,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.433083801071792,"endHours":17.433083801071792,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.433083801071792,"endHours":18.433083801071792,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.433083801071792,"endHours":19.433083801071792,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.433083801071792,"endHours":20.433083801071792,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.433083801071792,"endHours":21.433083801071792,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.433083801071792,"endHours":22.433083801071792,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.433083801071792,"endHours":23.433083801071792,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.433083801071792,"endHours":24.433083801071792,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.433083801071792,"endHours":25.433083801071792,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.433083801071792,"endHours":26.433083801071792,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.433083801071792,"endHours":27.433083801071792,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.433083801071792,"endHours":28.433083801071792,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.433083801071792,"endHours":29.433083801071792,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.433083801071792,"endHours":30.433083801071792,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.418727463409965,"eotMinutes":1.851917522468745,"ayanamsa":26.0317}},"calendars":{"vikram_samvat":2212,"vikram_samvatsara":"Vibhava","saka_samvat":2077,"saka_samvatsara":"Rākṣasa","bengali_samvat":1562,"malayalam_era":1331,"nanakshahi_year":686,"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 Ekādaśī · Vikram 2212 Vibhava · Śaka 2077 Rākṣasa"},"festivals":[{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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 20, 2155 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 20, 2155 CE for Ranchi, Jharkhand: Kṛṣṇa Ekādaśī, sūryodaya 06:26, sūryāsta 17:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2155-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2155-12-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2155-12-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2155-12-20","x-default":"https://vidhyamitra.com/city/ranchi/2155-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:28:52.995Z","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":"2026-06-02T14:28:52.995Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:28:52.995Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}