{"id":"vidhyamitra:city-day:ranchi:2136-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2136-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2136-12-31","date_display":"December 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501582.770833,"kali_year":5238,"ahargana":1913117.2708,"sun":{"sidereal_longitude":253.3081,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":350.3488,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.0407,"elapsed_within_tithi_degrees":1.0407},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.3488,"elapsed_within_degrees":3.6821},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.6568},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501582.770833,"ahargana":1913117.2708,"kali_year":5238,"ayanamsa_lahiri":25.7668,"grahas":{"sun":{"sidereal_longitude":253.89110000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":353.5369,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":1.2775},"mars":{"sidereal_longitude":258.76150000000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":231.66930000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":210.04899999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":297.0144,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":257.8144,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":333.8404,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.8404,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501582.770833,"kali_year":5238,"ahargana":1913117.2708,"sun":{"sidereal_longitude":253.3081,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":350.3488,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.0407,"elapsed_within_tithi_degrees":1.0407},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.3488,"elapsed_within_degrees":3.6821},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.6568},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.277,"elongation":97.041},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.277,"opposition_distance":82.959}},"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":"06:30","sunsetLocal":"17:14","solarNoonLocal":"11:52","dayLengthHours":10.720236398529067,"dayLengthDisplay":"10 Hours 43 Mins 13 Secs","nightLengthDisplay":"13 Hours 16 Mins 47 Secs","moonriseLocal":"12:15","moonsetLocal":"00:46","rahuKala":{"name":"Rāhu Kāla","start":"07:51","end":"09:11","startHours":7.846875265948356,"endHours":9.186904815764489,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:32","end":"11:52","startHours":10.526934365580622,"endHours":11.866963915396756,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:12","end":"14:33","startHours":13.20699346521289,"endHours":14.547023015029023,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:22","startHours":9.008234209122339,"endHours":9.36557542240664,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:14","startHours":6.9535222327376,"endHours":7.239395203365042,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:13","startHours":11.509622702112454,"endHours":12.224305128681058,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.077480862995014,"endHours":5.792163289563618,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:30","startHours":5.613492682921467,"endHours":6.506845716132222,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:22","startHours":13.653669981818267,"endHours":14.36835240838687,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.02708211466129,"endHours":17.42708211466129,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:40","startHours":17.22708211466129,"endHours":17.67375863126667,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.97708211466129,"endHours":18.72708211466129,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:13","startHours":23.509622702112452,"endHours":24.22430512868106,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:30","end":"07:51","startHours":6.506845716132222,"endHours":7.846875265948356,"quality":"auspicious"},{"name":"Kāla","start":"07:51","end":"09:11","startHours":7.846875265948356,"endHours":9.186904815764489,"quality":"inauspicious"},{"name":"Śubha","start":"09:11","end":"10:32","startHours":9.186904815764489,"endHours":10.526934365580622,"quality":"auspicious"},{"name":"Roga","start":"10:32","end":"11:52","startHours":10.526934365580622,"endHours":11.866963915396756,"quality":"inauspicious"},{"name":"Udveg","start":"11:52","end":"13:12","startHours":11.866963915396756,"endHours":13.20699346521289,"quality":"inauspicious"},{"name":"Chala","start":"13:12","end":"14:33","startHours":13.20699346521289,"endHours":14.547023015029023,"quality":"neutral"},{"name":"Labha","start":"14:33","end":"15:53","startHours":14.547023015029023,"endHours":15.887052564845156,"quality":"auspicious"},{"name":"Amṛta","start":"15:53","end":"17:14","startHours":15.887052564845156,"endHours":17.22708211466129,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:14","end":"18:53","startHours":17.22708211466129,"endHours":18.887052564845156,"quality":"neutral"},{"name":"Labha","start":"18:53","end":"20:33","startHours":18.887052564845156,"endHours":20.547023015029023,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"22:12","startHours":20.547023015029023,"endHours":22.20699346521289,"quality":"auspicious"},{"name":"Kāla","start":"22:12","end":"23:52","startHours":22.20699346521289,"endHours":23.866963915396756,"quality":"inauspicious"},{"name":"Śubha","start":"23:52","end":"01:32","startHours":23.866963915396756,"endHours":25.526934365580622,"quality":"auspicious"},{"name":"Roga","start":"01:32","end":"03:11","startHours":25.526934365580622,"endHours":27.18690481576449,"quality":"inauspicious"},{"name":"Udveg","start":"03:11","end":"04:51","startHours":27.18690481576449,"endHours":28.846875265948356,"quality":"inauspicious"},{"name":"Chala","start":"04:51","end":"06:30","startHours":28.846875265948356,"endHours":30.506845716132222,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.506845716132222,"endHours":7.506845716132222,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.506845716132222,"endHours":8.506845716132222,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.506845716132222,"endHours":9.506845716132222,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.506845716132222,"endHours":10.506845716132222,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.506845716132222,"endHours":11.506845716132222,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.506845716132222,"endHours":12.506845716132222,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.506845716132222,"endHours":13.506845716132222,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.506845716132222,"endHours":14.506845716132222,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.506845716132222,"endHours":15.506845716132222,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.506845716132222,"endHours":16.506845716132222,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.506845716132222,"endHours":17.506845716132222,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.506845716132222,"endHours":18.506845716132222,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.506845716132222,"endHours":19.506845716132222,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.506845716132222,"endHours":20.506845716132222,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.506845716132222,"endHours":21.506845716132222,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.506845716132222,"endHours":22.506845716132222,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.506845716132222,"endHours":23.506845716132222,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.506845716132222,"endHours":24.506845716132222,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.506845716132222,"endHours":25.506845716132222,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.506845716132222,"endHours":26.506845716132222,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.506845716132222,"endHours":27.506845716132222,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.506845716132222,"endHours":28.506845716132222,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.506845716132222,"endHours":29.506845716132222,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.506845716132222,"endHours":30.506845716132222,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","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":-23.084944381887304,"eotMinutes":-3.2562349238053434,"ayanamsa":25.7668}},"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 Navamī · Vikram 2193 Saumya · Śaka 2058 Durmukhi"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 31, 2136 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 31, 2136 CE for Ranchi, Jharkhand: Śukla Navamī, sūryodaya 06:30, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2136-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2136-12-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2136-12-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2136-12-31","x-default":"https://vidhyamitra.com/city/ranchi/2136-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:45:15.091Z","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":"2026-05-31T06:45:15.091Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:45:15.091Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}