{"id":"vidhyamitra:city-day:ranchi:2076-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2076-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-01-29","date_display":"January 29, 2076 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":2076,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479331.770833,"kali_year":5177,"ahargana":1890866.2708,"sun":{"sidereal_longitude":283.8878,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":195.8035,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.9157,"elapsed_within_tithi_degrees":7.9157},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.8035,"elapsed_within_degrees":9.1368},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.6913},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2076,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479331.770833,"ahargana":1890866.2708,"kali_year":5177,"ayanamsa_lahiri":24.9157,"grahas":{"sun":{"sidereal_longitude":284.07725099999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":192.388151,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":3.7729},"mars":{"sidereal_longitude":162.01705100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":259.15325099999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":168.43915100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":325.85075099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":240.504051,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":72.8055,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":252.8055,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2076,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479331.770833,"kali_year":5177,"ahargana":1890866.2708,"sun":{"sidereal_longitude":283.8878,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":195.8035,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.9157,"elapsed_within_tithi_degrees":7.9157},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.8035,"elapsed_within_degrees":9.1368},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.6913},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.773,"elongation":88.084},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.773,"opposition_distance":91.916}},"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":"17:34","solarNoonLocal":"12:02","dayLengthHours":11.053078801164643,"dayLengthDisplay":"11 Hours 03 Mins 11 Secs","nightLengthDisplay":"12 Hours 56 Mins 49 Secs","moonriseLocal":"00:17","moonsetLocal":"11:33","rahuKala":{"name":"Rāhu Kāla","start":"12:02","end":"13:25","startHours":12.032228699545236,"endHours":13.413863549690817,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:53","end":"09:16","startHours":7.887324149108496,"endHours":9.268958999254076,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:02","startHours":10.650593849399655,"endHours":12.032228699545236,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.084741019234665,"endHours":9.453176979273486,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.966234249011442,"endHours":7.2609830170424985,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:24","startHours":11.663792739506414,"endHours":12.400664659584058,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:02","end":"05:46","startHours":5.03194545880763,"endHours":5.768817378885272,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:35","end":"06:30","startHours":5.584599398865862,"endHours":6.505689298962915,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:37","startHours":13.874408499739344,"endHours":14.611280419816987,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.35876810012756,"endHours":17.758768100127558,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:01","startHours":17.55876810012756,"endHours":18.019313050176084,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.30876810012756,"endHours":19.05876810012756,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:24","startHours":23.663792739506416,"endHours":24.400664659584056,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:30","end":"07:53","startHours":6.505689298962915,"endHours":7.887324149108496,"quality":"auspicious"},{"name":"Amṛta","start":"07:53","end":"09:16","startHours":7.887324149108496,"endHours":9.268958999254076,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:39","startHours":9.268958999254076,"endHours":10.650593849399655,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:02","startHours":10.650593849399655,"endHours":12.032228699545236,"quality":"auspicious"},{"name":"Roga","start":"12:02","end":"13:25","startHours":12.032228699545236,"endHours":13.413863549690817,"quality":"inauspicious"},{"name":"Udveg","start":"13:25","end":"14:48","startHours":13.413863549690817,"endHours":14.795498399836397,"quality":"inauspicious"},{"name":"Chala","start":"14:48","end":"16:11","startHours":14.795498399836397,"endHours":16.177133249981978,"quality":"neutral"},{"name":"Labha","start":"16:11","end":"17:34","startHours":16.177133249981978,"endHours":17.55876810012756,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:34","end":"19:11","startHours":17.55876810012756,"endHours":19.177133249981978,"quality":"inauspicious"},{"name":"Chala","start":"19:11","end":"20:48","startHours":19.177133249981978,"endHours":20.795498399836397,"quality":"neutral"},{"name":"Labha","start":"20:48","end":"22:25","startHours":20.795498399836397,"endHours":22.413863549690817,"quality":"auspicious"},{"name":"Amṛta","start":"22:25","end":"00:02","startHours":22.413863549690817,"endHours":24.032228699545236,"quality":"auspicious"},{"name":"Kāla","start":"00:02","end":"01:39","startHours":24.032228699545236,"endHours":25.650593849399655,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:16","startHours":25.650593849399655,"endHours":27.268958999254075,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:53","startHours":27.268958999254075,"endHours":28.887324149108494,"quality":"inauspicious"},{"name":"Udveg","start":"04:53","end":"06:30","startHours":28.887324149108494,"endHours":30.505689298962913,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.505689298962915,"endHours":7.505689298962915,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.505689298962915,"endHours":8.505689298962915,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.505689298962915,"endHours":9.505689298962915,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.505689298962915,"endHours":10.505689298962915,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.505689298962915,"endHours":11.505689298962915,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.505689298962915,"endHours":12.505689298962915,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.505689298962915,"endHours":13.505689298962915,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.505689298962915,"endHours":14.505689298962915,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.505689298962915,"endHours":15.505689298962915,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.505689298962915,"endHours":16.505689298962913,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.505689298962913,"endHours":17.505689298962913,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.505689298962913,"endHours":18.505689298962913,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.505689298962913,"endHours":19.505689298962913,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.505689298962913,"endHours":20.505689298962913,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.505689298962913,"endHours":21.505689298962913,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.505689298962913,"endHours":22.505689298962913,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.505689298962913,"endHours":23.505689298962913,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.505689298962913,"endHours":24.505689298962913,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.505689298962913,"endHours":25.505689298962913,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.505689298962913,"endHours":26.505689298962913,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.505689298962913,"endHours":27.505689298962913,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.505689298962913,"endHours":28.505689298962913,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.505689298962913,"endHours":29.505689298962913,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.505689298962913,"endHours":30.505689298962913,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-18.00662539638859,"eotMinutes":-13.172121972714217,"ayanamsa":24.9157}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Aṣṭamī · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"festivals":[],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","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 29, 2076 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 29, 2076 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 06:30, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2076-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2076-01-29","sa":"https://sa.vidhyamitra.com/city/ranchi/2076-01-29","hi":"https://hi.vidhyamitra.com/city/ranchi/2076-01-29","x-default":"https://vidhyamitra.com/city/ranchi/2076-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:42:52.305Z","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":"2026-06-02T00:42:52.305Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:42:52.305Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}