{"id":"vidhyamitra:city-day:ranchi:2170-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2170-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2170-01-31","date_display":"January 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513666.770833,"kali_year":5271,"ahargana":1925201.2708,"sun":{"sidereal_longitude":284.5804,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":84.5864,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.0059,"elapsed_within_tithi_degrees":4.0059},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":84.5864,"elapsed_within_degrees":4.5864},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.1668},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2170,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513666.770833,"ahargana":1925201.2708,"kali_year":5271,"ayanamsa_lahiri":26.2289,"grahas":{"sun":{"sidereal_longitude":284.98440200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":85.16150200000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":2.3169},"mars":{"sidereal_longitude":150.08270199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":279.154802,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":139.275602,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":299.2521019999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":297.192902,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":53.572,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":233.572,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513666.770833,"kali_year":5271,"ahargana":1925201.2708,"sun":{"sidereal_longitude":284.5804,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":84.5864,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":160.0059,"elapsed_within_tithi_degrees":4.0059},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":84.5864,"elapsed_within_degrees":4.5864},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.1668},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.317,"elongation":160.006},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.317,"opposition_distance":19.994}},"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":"17:35","solarNoonLocal":"12:02","dayLengthHours":11.090798889586504,"dayLengthDisplay":"11 Hours 05 Mins 27 Secs","nightLengthDisplay":"12 Hours 54 Mins 33 Secs","moonriseLocal":"16:01","moonsetLocal":"05:25","rahuKala":{"name":"Rāhu Kāla","start":"12:02","end":"13:25","startHours":12.038186475697369,"endHours":13.424536336895681,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:53","end":"09:16","startHours":7.879136892102429,"endHours":9.265486753300742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:02","startHours":10.651836614499056,"endHours":12.038186475697369,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.080640105140967,"endHours":9.450333401460517,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:15","startHours":6.954903651303554,"endHours":7.250658288359194,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:24","startHours":11.668493179377817,"endHours":12.407879772016917,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:45","startHours":5.014013845625916,"endHours":5.753400438265016,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:30","startHours":5.568553790105241,"endHours":6.4927870309041165,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:38","startHours":13.88665295729512,"endHours":14.62603954993422,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.38358592049062,"endHours":17.78358592049062,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:03","startHours":17.58358592049062,"endHours":18.04570254089006,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.33358592049062,"endHours":19.08358592049062,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:24","startHours":23.668493179377815,"endHours":24.407879772016916,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:30","end":"07:53","startHours":6.4927870309041165,"endHours":7.879136892102429,"quality":"auspicious"},{"name":"Amṛta","start":"07:53","end":"09:16","startHours":7.879136892102429,"endHours":9.265486753300742,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:39","startHours":9.265486753300742,"endHours":10.651836614499056,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:02","startHours":10.651836614499056,"endHours":12.038186475697369,"quality":"auspicious"},{"name":"Roga","start":"12:02","end":"13:25","startHours":12.038186475697369,"endHours":13.424536336895681,"quality":"inauspicious"},{"name":"Udveg","start":"13:25","end":"14:49","startHours":13.424536336895681,"endHours":14.810886198093995,"quality":"inauspicious"},{"name":"Chala","start":"14:49","end":"16:12","startHours":14.810886198093995,"endHours":16.197236059292308,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:35","startHours":16.197236059292308,"endHours":17.58358592049062,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:35","end":"19:12","startHours":17.58358592049062,"endHours":19.197236059292308,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:49","startHours":19.197236059292308,"endHours":20.810886198093993,"quality":"neutral"},{"name":"Labha","start":"20:49","end":"22:25","startHours":20.810886198093993,"endHours":22.42453633689568,"quality":"auspicious"},{"name":"Amṛta","start":"22:25","end":"00:02","startHours":22.42453633689568,"endHours":24.03818647569737,"quality":"auspicious"},{"name":"Kāla","start":"00:02","end":"01:39","startHours":24.03818647569737,"endHours":25.651836614499054,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:16","startHours":25.651836614499054,"endHours":27.265486753300742,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:53","startHours":27.265486753300742,"endHours":28.87913689210243,"quality":"inauspicious"},{"name":"Udveg","start":"04:53","end":"06:30","startHours":28.87913689210243,"endHours":30.49278703090412,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.4927870309041165,"endHours":7.4927870309041165,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.4927870309041165,"endHours":8.492787030904116,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.492787030904116,"endHours":9.492787030904116,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.492787030904116,"endHours":10.492787030904116,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.492787030904116,"endHours":11.492787030904116,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.492787030904116,"endHours":12.492787030904116,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.492787030904116,"endHours":13.492787030904116,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.492787030904116,"endHours":14.492787030904116,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.492787030904116,"endHours":15.492787030904116,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.492787030904116,"endHours":16.49278703090412,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.49278703090412,"endHours":17.49278703090412,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.49278703090412,"endHours":18.49278703090412,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.49278703090412,"endHours":19.49278703090412,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.49278703090412,"endHours":20.49278703090412,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.49278703090412,"endHours":21.49278703090412,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.49278703090412,"endHours":22.49278703090412,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.49278703090412,"endHours":23.49278703090412,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.49278703090412,"endHours":24.49278703090412,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.49278703090412,"endHours":25.49278703090412,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.49278703090412,"endHours":26.49278703090412,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.49278703090412,"endHours":27.49278703090412,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.49278703090412,"endHours":28.49278703090412,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.49278703090412,"endHours":29.49278703090412,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.49278703090412,"endHours":30.49278703090412,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","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":-17.409499731871595,"eotMinutes":-13.52958854184206,"ayanamsa":26.2289}},"calendars":{"vikram_samvat":2227,"vikram_samvatsara":"Subhānu","saka_samvat":2092,"saka_samvatsara":"Pramoda","bengali_samvat":1577,"malayalam_era":1346,"nanakshahi_year":701,"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 Caturdaśī · Vikram 2227 Subhānu · Śaka 2092 Pramoda"},"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","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 31, 2170 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 31, 2170 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 06:30, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2170-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2170-01-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2170-01-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2170-01-31","x-default":"https://vidhyamitra.com/city/ranchi/2170-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:48:12.453Z","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":"2026-06-03T07:48:12.453Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:48:12.453Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}