{"id":"vidhyamitra:city-day:ranchi:2136-12-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2136-12-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2136-12-26","date_display":"December 26, 2136 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":2136,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501577.770833,"kali_year":5238,"ahargana":1913112.2708,"sun":{"sidereal_longitude":248.1688,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":284.8955,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.7267,"elapsed_within_tithi_degrees":0.7267},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":284.8955,"elapsed_within_degrees":4.8955},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0643},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2136,"month":12,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501577.770833,"ahargana":1913112.2708,"kali_year":5238,"ayanamsa_lahiri":25.7666,"grahas":{"sun":{"sidereal_longitude":248.79709100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":287.313991,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":-3.4055},"mars":{"sidereal_longitude":254.921691,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":225.36849099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":209.08269100000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":292.898291,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":257.2263909999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":334.1054,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.1054,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2136,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501577.770833,"kali_year":5238,"ahargana":1913112.2708,"sun":{"sidereal_longitude":248.1688,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":284.8955,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.7267,"elapsed_within_tithi_degrees":0.7267},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":284.8955,"elapsed_within_degrees":4.8955},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0643},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.405,"elongation":36.727},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.405,"opposition_distance":143.273}},"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":"06:29","sunsetLocal":"17:11","solarNoonLocal":"11:50","dayLengthHours":10.701651454858506,"dayLengthDisplay":"10 Hours 42 Mins 06 Secs","nightLengthDisplay":"13 Hours 17 Mins 54 Secs","moonriseLocal":"08:51","moonsetLocal":"19:56","rahuKala":{"name":"Rāhu Kāla","start":"11:50","end":"13:10","startHours":11.828693538840405,"endHours":13.166399970697718,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:49","end":"09:09","startHours":7.815574243268464,"endHours":9.153280675125778,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:29","end":"11:50","startHours":10.490987106983091,"endHours":11.828693538840405,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:20","startHours":8.974919817544802,"endHours":9.331641532706753,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:13","startHours":6.923769955363588,"endHours":7.209147327493149,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:11","startHours":11.471971823678455,"endHours":12.185415254002354,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:46","startHours":5.05098095076335,"endHours":5.76442438108725,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:35","end":"06:29","startHours":5.586063523506275,"endHours":6.4778678114111505,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:20","startHours":13.612302114650156,"endHours":14.325745544974057,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.97951926626966,"endHours":17.379519266269657,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:38","startHours":17.179519266269658,"endHours":17.625421410222096,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.929519266269658,"endHours":18.679519266269658,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:11","startHours":23.471971823678455,"endHours":24.185415254002354,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:29","end":"07:49","startHours":6.4778678114111505,"endHours":7.815574243268464,"quality":"auspicious"},{"name":"Amṛta","start":"07:49","end":"09:09","startHours":7.815574243268464,"endHours":9.153280675125778,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:29","startHours":9.153280675125778,"endHours":10.490987106983091,"quality":"inauspicious"},{"name":"Śubha","start":"10:29","end":"11:50","startHours":10.490987106983091,"endHours":11.828693538840405,"quality":"auspicious"},{"name":"Roga","start":"11:50","end":"13:10","startHours":11.828693538840405,"endHours":13.166399970697718,"quality":"inauspicious"},{"name":"Udveg","start":"13:10","end":"14:30","startHours":13.166399970697718,"endHours":14.504106402555031,"quality":"inauspicious"},{"name":"Chala","start":"14:30","end":"15:51","startHours":14.504106402555031,"endHours":15.841812834412345,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:11","startHours":15.841812834412345,"endHours":17.179519266269658,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:11","end":"18:51","startHours":17.179519266269658,"endHours":18.841812834412345,"quality":"inauspicious"},{"name":"Chala","start":"18:51","end":"20:30","startHours":18.841812834412345,"endHours":20.50410640255503,"quality":"neutral"},{"name":"Labha","start":"20:30","end":"22:10","startHours":20.50410640255503,"endHours":22.166399970697718,"quality":"auspicious"},{"name":"Amṛta","start":"22:10","end":"23:50","startHours":22.166399970697718,"endHours":23.828693538840405,"quality":"auspicious"},{"name":"Kāla","start":"23:50","end":"01:29","startHours":23.828693538840405,"endHours":25.49098710698309,"quality":"inauspicious"},{"name":"Śubha","start":"01:29","end":"03:09","startHours":25.49098710698309,"endHours":27.153280675125778,"quality":"auspicious"},{"name":"Roga","start":"03:09","end":"04:49","startHours":27.153280675125778,"endHours":28.815574243268465,"quality":"inauspicious"},{"name":"Udveg","start":"04:49","end":"06:29","startHours":28.815574243268465,"endHours":30.47786781141115,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.4778678114111505,"endHours":7.4778678114111505,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.4778678114111505,"endHours":8.477867811411151,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.477867811411151,"endHours":9.477867811411151,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.477867811411151,"endHours":10.477867811411151,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.477867811411151,"endHours":11.477867811411151,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.477867811411151,"endHours":12.477867811411151,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.477867811411151,"endHours":13.477867811411151,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.477867811411151,"endHours":14.477867811411151,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.477867811411151,"endHours":15.477867811411151,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.477867811411151,"endHours":16.47786781141115,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.47786781141115,"endHours":17.47786781141115,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.47786781141115,"endHours":18.47786781141115,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.47786781141115,"endHours":19.47786781141115,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.47786781141115,"endHours":20.47786781141115,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.47786781141115,"endHours":21.47786781141115,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.47786781141115,"endHours":22.47786781141115,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.47786781141115,"endHours":23.47786781141115,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.47786781141115,"endHours":24.47786781141115,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.47786781141115,"endHours":25.47786781141115,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.47786781141115,"endHours":26.47786781141115,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.47786781141115,"endHours":27.47786781141115,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.47786781141115,"endHours":28.47786781141115,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.47786781141115,"endHours":29.47786781141115,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.47786781141115,"endHours":30.47786781141115,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.357776332924526,"eotMinutes":-0.9600123304242594,"ayanamsa":25.7666}},"calendars":{"vikram_samvat":2193,"vikram_samvatsara":"Saumya","saka_samvat":2058,"saka_samvatsara":"Durmukhi","bengali_samvat":1543,"malayalam_era":1312,"nanakshahi_year":667,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Caturthī · Vikram 2193 Saumya · Śaka 2058 Durmukhi"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 26, 2136 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 26, 2136 CE for Ranchi, Jharkhand: Śukla Caturthī, sūryodaya 06:29, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2136-12-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2136-12-26","sa":"https://sa.vidhyamitra.com/city/ranchi/2136-12-26","hi":"https://hi.vidhyamitra.com/city/ranchi/2136-12-26","x-default":"https://vidhyamitra.com/city/ranchi/2136-12-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:28:57.586Z","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":"2026-05-31T16:28:57.586Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:28:57.586Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}