{"id":"vidhyamitra:city-day:ranchi:2129-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2129-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-12-31","date_display":"December 31, 2129 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":2129,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499025.770833,"kali_year":5231,"ahargana":1910560.2708,"sun":{"sidereal_longitude":253.1141,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":136.4447,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.3307,"elapsed_within_tithi_degrees":3.3307},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.4447,"elapsed_within_degrees":3.1114},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.5588},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2129,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499025.770833,"ahargana":1910560.2708,"kali_year":5231,"ayanamsa_lahiri":25.669,"grahas":{"sun":{"sidereal_longitude":253.681696,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":133.62129600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":2.0498},"mars":{"sidereal_longitude":338.782896,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":229.49399599999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":343.104696,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":258.09979599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":185.440296,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":109.3226,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.3226,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2129,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499025.770833,"kali_year":5231,"ahargana":1910560.2708,"sun":{"sidereal_longitude":253.1141,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":136.4447,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.3307,"elapsed_within_tithi_degrees":3.3307},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.4447,"elapsed_within_degrees":3.1114},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.5588},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.05,"elongation":116.669},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.05,"opposition_distance":63.331}},"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":10.718745302151312,"dayLengthDisplay":"10 Hours 43 Mins 07 Secs","nightLengthDisplay":"13 Hours 16 Mins 53 Secs","moonriseLocal":"21:35","moonsetLocal":"10:08","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:32","startHours":9.187277589858928,"endHours":10.527120752627841,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:12","end":"14:33","startHours":13.20680707816567,"endHours":14.546650240934584,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:30","end":"07:51","startHours":6.5075912643211,"endHours":7.847434427090014,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:22","startHours":9.008631834823072,"endHours":9.365923344894783,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:14","startHours":6.954205651910738,"endHours":7.240038859968106,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:13","startHours":11.509672405325045,"endHours":12.224255425468467,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.078425224034258,"endHours":5.793008244177679,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:30","startHours":5.614362489141824,"endHours":6.5075912643211,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:22","startHours":13.653421465755308,"endHours":14.368004485898728,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.026336566472413,"endHours":17.42633656647241,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:40","startHours":17.226336566472412,"endHours":17.67295095406205,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.976336566472412,"endHours":18.726336566472412,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:13","startHours":23.509672405325045,"endHours":24.224255425468467,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:30","end":"07:51","startHours":6.5075912643211,"endHours":7.847434427090014,"quality":"inauspicious"},{"name":"Śubha","start":"07:51","end":"09:11","startHours":7.847434427090014,"endHours":9.187277589858928,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:32","startHours":9.187277589858928,"endHours":10.527120752627841,"quality":"inauspicious"},{"name":"Udveg","start":"10:32","end":"11:52","startHours":10.527120752627841,"endHours":11.866963915396756,"quality":"inauspicious"},{"name":"Chala","start":"11:52","end":"13:12","startHours":11.866963915396756,"endHours":13.20680707816567,"quality":"neutral"},{"name":"Labha","start":"13:12","end":"14:33","startHours":13.20680707816567,"endHours":14.546650240934584,"quality":"auspicious"},{"name":"Amṛta","start":"14:33","end":"15:53","startHours":14.546650240934584,"endHours":15.886493403703497,"quality":"auspicious"},{"name":"Kāla","start":"15:53","end":"17:14","startHours":15.886493403703497,"endHours":17.226336566472412,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:14","end":"18:53","startHours":17.226336566472412,"endHours":18.886493403703497,"quality":"auspicious"},{"name":"Amṛta","start":"18:53","end":"20:33","startHours":18.886493403703497,"endHours":20.546650240934582,"quality":"auspicious"},{"name":"Kāla","start":"20:33","end":"22:12","startHours":20.546650240934582,"endHours":22.20680707816567,"quality":"inauspicious"},{"name":"Śubha","start":"22:12","end":"23:52","startHours":22.20680707816567,"endHours":23.866963915396756,"quality":"auspicious"},{"name":"Roga","start":"23:52","end":"01:32","startHours":23.866963915396756,"endHours":25.52712075262784,"quality":"inauspicious"},{"name":"Udveg","start":"01:32","end":"03:11","startHours":25.52712075262784,"endHours":27.18727758985893,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:51","startHours":27.18727758985893,"endHours":28.847434427090015,"quality":"neutral"},{"name":"Labha","start":"04:51","end":"06:30","startHours":28.847434427090015,"endHours":30.5075912643211,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.5075912643211,"endHours":7.5075912643211,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.5075912643211,"endHours":8.5075912643211,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.5075912643211,"endHours":9.5075912643211,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.5075912643211,"endHours":10.5075912643211,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.5075912643211,"endHours":11.5075912643211,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.5075912643211,"endHours":12.5075912643211,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.5075912643211,"endHours":13.5075912643211,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.5075912643211,"endHours":14.5075912643211,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.5075912643211,"endHours":15.5075912643211,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.5075912643211,"endHours":16.5075912643211,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.5075912643211,"endHours":17.5075912643211,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.5075912643211,"endHours":18.5075912643211,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.5075912643211,"endHours":19.5075912643211,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.5075912643211,"endHours":20.5075912643211,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.5075912643211,"endHours":21.5075912643211,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.5075912643211,"endHours":22.5075912643211,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.5075912643211,"endHours":23.5075912643211,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.5075912643211,"endHours":24.5075912643211,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.5075912643211,"endHours":25.5075912643211,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.5075912643211,"endHours":26.5075912643211,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.5075912643211,"endHours":27.5075912643211,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.5075912643211,"endHours":28.5075912643211,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.5075912643211,"endHours":29.5075912643211,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.5075912643211,"endHours":30.5075912643211,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"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":-23.106877707018427,"eotMinutes":-3.2562349238053434,"ayanamsa":25.669}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"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 Ṣaṣṭhī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[],"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 31, 2129 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 31, 2129 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:30, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2129-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2129-12-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2129-12-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2129-12-31","x-default":"https://vidhyamitra.com/city/ranchi/2129-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:50:04.656Z","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":"2026-06-01T14:50:04.656Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:50:04.656Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}