{"id":"vidhyamitra:city-day:ranchi:2167-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2167-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-01-29","date_display":"January 29, 2167 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":2167,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512568.770833,"kali_year":5268,"ahargana":1924103.2708,"sun":{"sidereal_longitude":282.3044,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":22.5727,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":100.2683,"elapsed_within_tithi_degrees":4.2683},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.5727,"elapsed_within_degrees":9.2394},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.8772},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2167,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512568.770833,"ahargana":1924103.2708,"kali_year":5268,"ayanamsa_lahiri":26.1869,"grahas":{"sun":{"sidereal_longitude":282.7181539999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":22.64455399999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-4.4995},"mars":{"sidereal_longitude":268.1067539999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":262.460654,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":32.96195399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":313.956054,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":266.15825399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":111.7493,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":291.7493,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2167,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512568.770833,"kali_year":5268,"ahargana":1924103.2708,"sun":{"sidereal_longitude":282.3044,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":22.5727,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":100.2683,"elapsed_within_tithi_degrees":4.2683},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.5727,"elapsed_within_degrees":9.2394},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.8772},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.5,"elongation":100.268},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.5,"opposition_distance":79.732}},"eclipse_window_40days":[{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":-0.287,"opposition_distance":0.669}]},"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":"17:33","solarNoonLocal":"12:02","dayLengthHours":11.051613696818336,"dayLengthDisplay":"11 Hours 03 Mins 06 Secs","nightLengthDisplay":"12 Hours 56 Mins 54 Secs","moonriseLocal":"12:08","moonsetLocal":"01:15","rahuKala":{"name":"Rāhu Kāla","start":"13:25","end":"14:48","startHours":13.41368041164753,"endHours":14.79513212374982,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:30","end":"07:53","startHours":6.506421851136069,"endHours":7.887873563238361,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:39","startHours":9.269325275340652,"endHours":10.650776987442946,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.085131713727014,"endHours":9.453518836954292,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.966905755170166,"endHours":7.261615453751988,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:24","startHours":11.663841576317958,"endHours":12.400615822772513,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:02","end":"05:46","startHours":5.032873358226958,"endHours":5.769647604681513,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:35","end":"06:30","startHours":5.585454043067874,"endHours":6.506421851136069,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:37","startHours":13.874164315681625,"endHours":14.61093856213618,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.358035547954405,"endHours":17.758035547954403,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"18:01","startHours":17.558035547954404,"endHours":18.018519451988503,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.308035547954404,"endHours":19.058035547954404,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:24","startHours":23.663841576317957,"endHours":24.400615822772515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:30","end":"07:53","startHours":6.506421851136069,"endHours":7.887873563238361,"quality":"auspicious"},{"name":"Roga","start":"07:53","end":"09:16","startHours":7.887873563238361,"endHours":9.269325275340652,"quality":"inauspicious"},{"name":"Udveg","start":"09:16","end":"10:39","startHours":9.269325275340652,"endHours":10.650776987442946,"quality":"inauspicious"},{"name":"Chala","start":"10:39","end":"12:02","startHours":10.650776987442946,"endHours":12.032228699545236,"quality":"neutral"},{"name":"Labha","start":"12:02","end":"13:25","startHours":12.032228699545236,"endHours":13.41368041164753,"quality":"auspicious"},{"name":"Amṛta","start":"13:25","end":"14:48","startHours":13.41368041164753,"endHours":14.79513212374982,"quality":"auspicious"},{"name":"Kāla","start":"14:48","end":"16:11","startHours":14.79513212374982,"endHours":16.176583835852114,"quality":"inauspicious"},{"name":"Śubha","start":"16:11","end":"17:33","startHours":16.176583835852114,"endHours":17.558035547954404,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:33","end":"19:11","startHours":17.558035547954404,"endHours":19.176583835852114,"quality":"auspicious"},{"name":"Kāla","start":"19:11","end":"20:48","startHours":19.176583835852114,"endHours":20.79513212374982,"quality":"inauspicious"},{"name":"Śubha","start":"20:48","end":"22:25","startHours":20.79513212374982,"endHours":22.413680411647526,"quality":"auspicious"},{"name":"Roga","start":"22:25","end":"00:02","startHours":22.413680411647526,"endHours":24.032228699545236,"quality":"inauspicious"},{"name":"Udveg","start":"00:02","end":"01:39","startHours":24.032228699545236,"endHours":25.650776987442946,"quality":"inauspicious"},{"name":"Chala","start":"01:39","end":"03:16","startHours":25.650776987442946,"endHours":27.269325275340652,"quality":"neutral"},{"name":"Labha","start":"03:16","end":"04:53","startHours":27.269325275340652,"endHours":28.887873563238358,"quality":"auspicious"},{"name":"Amṛta","start":"04:53","end":"06:30","startHours":28.887873563238358,"endHours":30.506421851136068,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.506421851136069,"endHours":7.506421851136069,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.506421851136069,"endHours":8.506421851136068,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.506421851136068,"endHours":9.506421851136068,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.506421851136068,"endHours":10.506421851136068,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.506421851136068,"endHours":11.506421851136068,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.506421851136068,"endHours":12.506421851136068,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.506421851136068,"endHours":13.506421851136068,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.506421851136068,"endHours":14.506421851136068,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.506421851136068,"endHours":15.506421851136068,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.506421851136068,"endHours":16.506421851136068,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.506421851136068,"endHours":17.506421851136068,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.506421851136068,"endHours":18.506421851136068,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.506421851136068,"endHours":19.506421851136068,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.506421851136068,"endHours":20.506421851136068,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.506421851136068,"endHours":21.506421851136068,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.506421851136068,"endHours":22.506421851136068,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.506421851136068,"endHours":23.506421851136068,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.506421851136068,"endHours":24.506421851136068,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.506421851136068,"endHours":25.506421851136068,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.506421851136068,"endHours":26.506421851136068,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.506421851136068,"endHours":27.506421851136068,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.506421851136068,"endHours":28.506421851136068,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.506421851136068,"endHours":29.506421851136068,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.506421851136068,"endHours":30.506421851136068,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-18.029735268322895,"eotMinutes":-13.172121972714217,"ayanamsa":26.1869}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Navamī · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 29, 2167 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 29, 2167 CE for Ranchi, Jharkhand: Śukla Navamī, sūryodaya 06:30, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2167-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2167-01-29","sa":"https://sa.vidhyamitra.com/city/ranchi/2167-01-29","hi":"https://hi.vidhyamitra.com/city/ranchi/2167-01-29","x-default":"https://vidhyamitra.com/city/ranchi/2167-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:06:30.026Z","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":"2026-06-03T00:06:30.026Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:06:30.026Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}