{"id":"vidhyamitra:city-day:ranchi:2129-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2129-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-01-03","date_display":"January 3, 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":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498663.770833,"kali_year":5230,"ahargana":1910198.2708,"sun":{"sidereal_longitude":256.4644,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":47.8721,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.4077,"elapsed_within_tithi_degrees":7.4077},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.8721,"elapsed_within_degrees":7.8721},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.3365},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2129,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498663.770833,"ahargana":1910198.2708,"kali_year":5230,"ayanamsa_lahiri":25.6551,"grahas":{"sun":{"sidereal_longitude":257.000727,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":49.21332699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-4.4399},"mars":{"sidereal_longitude":202.61892699999999,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":240.167827,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":312.13172699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":300.09012700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":174.164627,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":128.5031,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":308.5031,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2129,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498663.770833,"kali_year":5230,"ahargana":1910198.2708,"sun":{"sidereal_longitude":256.4644,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":47.8721,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.4077,"elapsed_within_tithi_degrees":7.4077},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.8721,"elapsed_within_degrees":7.8721},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.3365},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.44,"elongation":151.408},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.44,"opposition_distance":28.592}},"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":"06:31","sunsetLocal":"17:15","solarNoonLocal":"11:53","dayLengthHours":10.737232524539309,"dayLengthDisplay":"10 Hours 44 Mins 14 Secs","nightLengthDisplay":"13 Hours 15 Mins 46 Secs","moonriseLocal":"15:18","moonsetLocal":"04:46","rahuKala":{"name":"Rāhu Kāla","start":"07:52","end":"09:12","startHours":7.862721483808727,"endHours":9.20487554937614,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:33","end":"11:53","startHours":10.547029614943554,"endHours":11.889183680510968,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:14","end":"14:34","startHours":13.231337746078381,"endHours":14.573491811645795,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.02592167396715,"endHours":9.383829424785128,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.967952106763785,"endHours":7.254278307418167,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.53127592969299,"endHours":12.247091431328945,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.088936414969406,"endHours":5.804751916605359,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.625798041196371,"endHours":6.520567418241313,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.678722434600852,"endHours":14.394537936236805,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.057799942780623,"endHours":17.45779994278062,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:42","startHours":17.257799942780622,"endHours":17.705184631303094,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":17.007799942780622,"endHours":18.757799942780622,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.531275929692992,"endHours":24.247091431328943,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:31","end":"07:52","startHours":6.520567418241313,"endHours":7.862721483808727,"quality":"auspicious"},{"name":"Kāla","start":"07:52","end":"09:12","startHours":7.862721483808727,"endHours":9.20487554937614,"quality":"inauspicious"},{"name":"Śubha","start":"09:12","end":"10:33","startHours":9.20487554937614,"endHours":10.547029614943554,"quality":"auspicious"},{"name":"Roga","start":"10:33","end":"11:53","startHours":10.547029614943554,"endHours":11.889183680510968,"quality":"inauspicious"},{"name":"Udveg","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.231337746078381,"quality":"inauspicious"},{"name":"Chala","start":"13:14","end":"14:34","startHours":13.231337746078381,"endHours":14.573491811645795,"quality":"neutral"},{"name":"Labha","start":"14:34","end":"15:55","startHours":14.573491811645795,"endHours":15.915645877213208,"quality":"auspicious"},{"name":"Amṛta","start":"15:55","end":"17:15","startHours":15.915645877213208,"endHours":17.257799942780622,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:15","end":"18:55","startHours":17.257799942780622,"endHours":18.91564587721321,"quality":"neutral"},{"name":"Labha","start":"18:55","end":"20:34","startHours":18.91564587721321,"endHours":20.573491811645795,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"22:14","startHours":20.573491811645795,"endHours":22.23133774607838,"quality":"auspicious"},{"name":"Kāla","start":"22:14","end":"23:53","startHours":22.23133774607838,"endHours":23.889183680510968,"quality":"inauspicious"},{"name":"Śubha","start":"23:53","end":"01:33","startHours":23.889183680510968,"endHours":25.547029614943554,"quality":"auspicious"},{"name":"Roga","start":"01:33","end":"03:12","startHours":25.547029614943554,"endHours":27.20487554937614,"quality":"inauspicious"},{"name":"Udveg","start":"03:12","end":"04:52","startHours":27.20487554937614,"endHours":28.862721483808727,"quality":"inauspicious"},{"name":"Chala","start":"04:52","end":"06:31","startHours":28.862721483808727,"endHours":30.520567418241313,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.520567418241313,"endHours":7.520567418241313,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.520567418241313,"endHours":8.520567418241313,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.520567418241313,"endHours":9.520567418241313,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.520567418241313,"endHours":10.520567418241313,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.520567418241313,"endHours":11.520567418241313,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.520567418241313,"endHours":12.520567418241313,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.520567418241313,"endHours":13.520567418241313,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.520567418241313,"endHours":14.520567418241313,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.520567418241313,"endHours":15.520567418241313,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.520567418241313,"endHours":16.520567418241313,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.520567418241313,"endHours":17.520567418241313,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.520567418241313,"endHours":18.520567418241313,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.520567418241313,"endHours":19.520567418241313,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.520567418241313,"endHours":20.520567418241313,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.520567418241313,"endHours":21.520567418241313,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.520567418241313,"endHours":22.520567418241313,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.520567418241313,"endHours":23.520567418241313,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.520567418241313,"endHours":24.520567418241313,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.520567418241313,"endHours":25.520567418241313,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.520567418241313,"endHours":26.520567418241313,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.520567418241313,"endHours":27.520567418241313,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.520567418241313,"endHours":28.520567418241313,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.520567418241313,"endHours":29.520567418241313,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.520567418241313,"endHours":30.520567418241313,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","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":-22.834403474845303,"eotMinutes":-4.589420830658165,"ayanamsa":25.6551}},"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 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 Trayodaśī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 January 3, 2129 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 3, 2129 CE for Ranchi, Jharkhand: Śukla Trayodaśī, sūryodaya 06:31, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2129-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2129-01-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2129-01-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2129-01-03","x-default":"https://vidhyamitra.com/city/ranchi/2129-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:52:18.606Z","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":"2026-05-31T00:52:18.606Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:52:18.606Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}