{"id":"vidhyamitra:city-day:ranchi:2170-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2170-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2170-01-11","date_display":"January 11, 2170 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":2170,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513646.770833,"kali_year":5271,"ahargana":1925181.2708,"sun":{"sidereal_longitude":264.0625,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.6001,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.5376,"elapsed_within_tithi_degrees":9.5376},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.6001,"elapsed_within_degrees":2.9334},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":93.6626},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2170,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513646.770833,"ahargana":1925181.2708,"kali_year":5271,"ayanamsa_lahiri":26.2282,"grahas":{"sun":{"sidereal_longitude":264.62866600000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":192.20036600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":3.1821},"mars":{"sidereal_longitude":148.229266,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":247.435966,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":140.371466,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":274.1971659999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":294.905566,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":54.6316,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.6316,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2170,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513646.770833,"kali_year":5271,"ahargana":1925181.2708,"sun":{"sidereal_longitude":264.0625,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.6001,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.5376,"elapsed_within_tithi_degrees":9.5376},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.6001,"elapsed_within_degrees":2.9334},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":93.6626},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.182,"elongation":74.462},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.182,"opposition_distance":105.538}},"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":"06:32","sunsetLocal":"17:21","solarNoonLocal":"11:57","dayLengthHours":10.80547185099634,"dayLengthDisplay":"10 Hours 48 Mins 20 Secs","nightLengthDisplay":"13 Hours 11 Mins 40 Secs","moonriseLocal":"01:30","moonsetLocal":"12:44","rahuKala":{"name":"Rāhu Kāla","start":"13:18","end":"14:39","startHours":13.294819018623983,"endHours":14.645502999998527,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:32","end":"07:54","startHours":6.541399111751271,"endHours":7.892083093125813,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:15","end":"10:36","startHours":9.242767074500357,"endHours":10.593451055874898,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.06267587698375,"endHours":9.422858272016962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.9916271055427845,"endHours":7.279773021569354,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:18","startHours":11.58395264221623,"endHours":12.304317432282653,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.100669531618426,"endHours":5.821034321684848,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.640943124168242,"endHours":6.541399111751271,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:45","end":"14:28","startHours":13.745047012415498,"endHours":14.46541180248192,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.146870962747613,"endHours":17.54687096274761,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:48","startHours":17.346870962747612,"endHours":17.797098956539127,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.096870962747612,"endHours":18.846870962747612,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:18","startHours":23.583952642216232,"endHours":24.30431743228265,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:32","end":"07:54","startHours":6.541399111751271,"endHours":7.892083093125813,"quality":"auspicious"},{"name":"Roga","start":"07:54","end":"09:15","startHours":7.892083093125813,"endHours":9.242767074500357,"quality":"inauspicious"},{"name":"Udveg","start":"09:15","end":"10:36","startHours":9.242767074500357,"endHours":10.593451055874898,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"11:57","startHours":10.593451055874898,"endHours":11.944135037249442,"quality":"neutral"},{"name":"Labha","start":"11:57","end":"13:18","startHours":11.944135037249442,"endHours":13.294819018623983,"quality":"auspicious"},{"name":"Amṛta","start":"13:18","end":"14:39","startHours":13.294819018623983,"endHours":14.645502999998527,"quality":"auspicious"},{"name":"Kāla","start":"14:39","end":"16:00","startHours":14.645502999998527,"endHours":15.996186981373068,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:21","startHours":15.996186981373068,"endHours":17.346870962747612,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"19:00","startHours":17.346870962747612,"endHours":18.99618698137307,"quality":"auspicious"},{"name":"Kāla","start":"19:00","end":"20:39","startHours":18.99618698137307,"endHours":20.645502999998527,"quality":"inauspicious"},{"name":"Śubha","start":"20:39","end":"22:18","startHours":20.645502999998527,"endHours":22.294819018623983,"quality":"auspicious"},{"name":"Roga","start":"22:18","end":"23:57","startHours":22.294819018623983,"endHours":23.944135037249442,"quality":"inauspicious"},{"name":"Udveg","start":"23:57","end":"01:36","startHours":23.944135037249442,"endHours":25.5934510558749,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:15","startHours":25.5934510558749,"endHours":27.242767074500357,"quality":"neutral"},{"name":"Labha","start":"03:15","end":"04:54","startHours":27.242767074500357,"endHours":28.892083093125812,"quality":"auspicious"},{"name":"Amṛta","start":"04:54","end":"06:32","startHours":28.892083093125812,"endHours":30.54139911175127,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.541399111751271,"endHours":7.541399111751271,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.541399111751271,"endHours":8.541399111751272,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.541399111751272,"endHours":9.541399111751272,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.541399111751272,"endHours":10.541399111751272,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.541399111751272,"endHours":11.541399111751272,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.541399111751272,"endHours":12.541399111751272,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.541399111751272,"endHours":13.541399111751272,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.541399111751272,"endHours":14.541399111751272,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.541399111751272,"endHours":15.541399111751272,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.541399111751272,"endHours":16.54139911175127,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.54139911175127,"endHours":17.54139911175127,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.54139911175127,"endHours":18.54139911175127,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.54139911175127,"endHours":19.54139911175127,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.54139911175127,"endHours":20.54139911175127,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.54139911175127,"endHours":21.54139911175127,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.54139911175127,"endHours":22.54139911175127,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.54139911175127,"endHours":23.54139911175127,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.54139911175127,"endHours":24.54139911175127,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.54139911175127,"endHours":25.54139911175127,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.54139911175127,"endHours":26.54139911175127,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.54139911175127,"endHours":27.54139911175127,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.54139911175127,"endHours":28.54139911175127,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.54139911175127,"endHours":29.54139911175127,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.54139911175127,"endHours":30.54139911175127,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","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":-21.818657045806926,"eotMinutes":-7.886502234966622,"ayanamsa":26.2282}},"calendars":{"vikram_samvat":2227,"vikram_samvatsara":"Subhānu","saka_samvat":2092,"saka_samvatsara":"Pramoda","bengali_samvat":1577,"malayalam_era":1346,"nanakshahi_year":701,"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 Navamī · Vikram 2227 Subhānu · Śaka 2092 Pramoda"},"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":[]},"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 11, 2170 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 11, 2170 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 06:32, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2170-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2170-01-11","sa":"https://sa.vidhyamitra.com/city/ranchi/2170-01-11","hi":"https://hi.vidhyamitra.com/city/ranchi/2170-01-11","x-default":"https://vidhyamitra.com/city/ranchi/2170-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T15:16:37.078Z","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":"2026-06-03T15:16:37.078Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T15:16:37.078Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}