{"id":"vidhyamitra:city-day:ranchi:2091-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2091-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-12-18","date_display":"December 18, 2091 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":2091,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485133.770833,"kali_year":5193,"ahargana":1896668.2708,"sun":{"sidereal_longitude":240.614,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":332.2296,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.6156,"elapsed_within_tithi_degrees":7.6156},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.2296,"elapsed_within_degrees":12.2296},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.8436},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2091,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485133.770833,"ahargana":1896668.2708,"kali_year":5193,"ayanamsa_lahiri":25.1376,"grahas":{"sun":{"sidereal_longitude":241.20207200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":334.665472,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":-2.0302},"mars":{"sidereal_longitude":268.194972,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":223.38307199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":269.641072,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":276.17987199999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":70.968072,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":125.3876,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.3876,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2091,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485133.770833,"kali_year":5193,"ahargana":1896668.2708,"sun":{"sidereal_longitude":240.614,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":332.2296,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.6156,"elapsed_within_tithi_degrees":7.6156},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.2296,"elapsed_within_degrees":12.2296},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.8436},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.03,"elongation":91.616},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.03,"opposition_distance":88.384}},"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":"06:25","sunsetLocal":"17:07","solarNoonLocal":"11:46","dayLengthHours":10.699735011888803,"dayLengthDisplay":"10 Hours 41 Mins 59 Secs","nightLengthDisplay":"13 Hours 18 Mins 01 Secs","moonriseLocal":"11:57","moonsetLocal":"00:02","rahuKala":{"name":"Rāhu Kāla","start":"14:26","end":"15:47","startHours":14.441164963836513,"endHours":15.778631840322614,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:26","startHours":9.091297457892113,"endHours":10.428764334378211,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:46","end":"13:06","startHours":11.766231210864312,"endHours":13.103698087350413,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:16","startHours":8.912968541027299,"endHours":9.269626374756925,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:09","startHours":6.862185997081945,"endHours":7.1475122640656465,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:25","end":"12:07","startHours":11.409573377134686,"endHours":12.122889044593938,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:59","end":"05:42","startHours":4.989732370001404,"endHours":5.703048037460658,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:25","startHours":5.524719120595845,"endHours":6.416363704919911,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:33","end":"14:16","startHours":13.549520379512447,"endHours":14.262836046971701,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:55","end":"17:19","startHours":16.916098716808715,"endHours":17.316098716808714,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:07","end":"17:34","startHours":17.116098716808715,"endHours":17.56192100897075,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:52","end":"18:37","startHours":16.866098716808715,"endHours":18.616098716808715,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:25","end":"00:07","startHours":23.409573377134684,"endHours":24.12288904459394,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:25","end":"07:45","startHours":6.416363704919911,"endHours":7.753830581406012,"quality":"inauspicious"},{"name":"Udveg","start":"07:45","end":"09:05","startHours":7.753830581406012,"endHours":9.091297457892113,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:26","startHours":9.091297457892113,"endHours":10.428764334378211,"quality":"neutral"},{"name":"Labha","start":"10:26","end":"11:46","startHours":10.428764334378211,"endHours":11.766231210864312,"quality":"auspicious"},{"name":"Amṛta","start":"11:46","end":"13:06","startHours":11.766231210864312,"endHours":13.103698087350413,"quality":"auspicious"},{"name":"Kāla","start":"13:06","end":"14:26","startHours":13.103698087350413,"endHours":14.441164963836513,"quality":"inauspicious"},{"name":"Śubha","start":"14:26","end":"15:47","startHours":14.441164963836513,"endHours":15.778631840322614,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:07","startHours":15.778631840322614,"endHours":17.116098716808715,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:07","end":"18:47","startHours":17.116098716808715,"endHours":18.778631840322614,"quality":"inauspicious"},{"name":"Śubha","start":"18:47","end":"20:26","startHours":18.778631840322614,"endHours":20.441164963836513,"quality":"auspicious"},{"name":"Roga","start":"20:26","end":"22:06","startHours":20.441164963836513,"endHours":22.103698087350413,"quality":"inauspicious"},{"name":"Udveg","start":"22:06","end":"23:46","startHours":22.103698087350413,"endHours":23.766231210864312,"quality":"inauspicious"},{"name":"Chala","start":"23:46","end":"01:26","startHours":23.766231210864312,"endHours":25.428764334378215,"quality":"neutral"},{"name":"Labha","start":"01:26","end":"03:05","startHours":25.428764334378215,"endHours":27.09129745789211,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:45","startHours":27.09129745789211,"endHours":28.753830581406014,"quality":"auspicious"},{"name":"Kāla","start":"04:45","end":"06:25","startHours":28.753830581406014,"endHours":30.41636370491991,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.416363704919911,"endHours":7.416363704919911,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.416363704919911,"endHours":8.416363704919911,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.416363704919911,"endHours":9.416363704919911,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.416363704919911,"endHours":10.416363704919911,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.416363704919911,"endHours":11.416363704919911,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.416363704919911,"endHours":12.416363704919911,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.416363704919911,"endHours":13.416363704919911,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.416363704919911,"endHours":14.416363704919911,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.416363704919911,"endHours":15.416363704919911,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.416363704919911,"endHours":16.41636370491991,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.41636370491991,"endHours":17.41636370491991,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.41636370491991,"endHours":18.41636370491991,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.41636370491991,"endHours":19.41636370491991,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.41636370491991,"endHours":20.41636370491991,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.41636370491991,"endHours":21.41636370491991,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.41636370491991,"endHours":22.41636370491991,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.41636370491991,"endHours":23.41636370491991,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.41636370491991,"endHours":24.41636370491991,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.41636370491991,"endHours":25.41636370491991,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.41636370491991,"endHours":26.41636370491991,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.41636370491991,"endHours":27.41636370491991,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.41636370491991,"endHours":28.41636370491991,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.41636370491991,"endHours":29.41636370491991,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.41636370491991,"endHours":30.41636370491991,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Saumya","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":-23.385842845398454,"eotMinutes":2.787727348141232,"ayanamsa":25.1376}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[],"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","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 18, 2091 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 18, 2091 CE for Ranchi, Jharkhand: Śukla Aṣṭamī, sūryodaya 06:25, sūryāsta 17:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2091-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2091-12-18","sa":"https://sa.vidhyamitra.com/city/ranchi/2091-12-18","hi":"https://hi.vidhyamitra.com/city/ranchi/2091-12-18","x-default":"https://vidhyamitra.com/city/ranchi/2091-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T09:02:32.745Z","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":"2026-06-02T09:02:32.745Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T09:02:32.745Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}