{"id":"vidhyamitra:city-day:ranchi:2181-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2181-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-07-31","date_display":"July 31, 2181 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":2181,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517865.770833,"kali_year":5283,"ahargana":1929400.2708,"sun":{"sidereal_longitude":101.0624,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":342.6369,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.5745,"elapsed_within_tithi_degrees":1.5745},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.6369,"elapsed_within_degrees":9.3036},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.6993},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2181,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517865.770833,"ahargana":1929400.2708,"kali_year":5283,"ayanamsa_lahiri":26.3895,"grahas":{"sun":{"sidereal_longitude":102.017269,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":344.930769,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":2.1422},"mars":{"sidereal_longitude":136.27936899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":125.512069,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":118.97476899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":141.29386899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":88.00936899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":191.0887,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.0887,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2181,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517865.770833,"kali_year":5283,"ahargana":1929400.2708,"sun":{"sidereal_longitude":101.0624,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":342.6369,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.5745,"elapsed_within_tithi_degrees":1.5745},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.6369,"elapsed_within_degrees":9.3036},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.6993},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.142,"elongation":118.425},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.142,"opposition_distance":61.575}},"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":"05:18","sunsetLocal":"18:31","solarNoonLocal":"11:55","dayLengthHours":13.21386505535527,"dayLengthDisplay":"13 Hours 12 Mins 50 Secs","nightLengthDisplay":"10 Hours 47 Mins 10 Secs","moonriseLocal":"21:56","moonsetLocal":"10:17","rahuKala":{"name":"Rāhu Kāla","start":"15:13","end":"16:52","startHours":15.217349172377997,"endHours":16.869082304297407,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:37","end":"10:16","startHours":8.610416644700361,"endHours":10.262149776619772,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:34","startHours":11.913882908539179,"endHours":13.56561604045859,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.39018556044444,"endHours":8.830647728956283,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.857528091501347,"endHours":6.209897826310821,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.473420740027336,"endHours":12.354345077051022,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:26","startHours":3.545101706814175,"endHours":4.42602604383786,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:18","startHours":4.205794959581938,"endHours":5.306950380861545,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"15:00","startHours":14.11619375109839,"endHours":14.997118088122074,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.320815436216815,"endHours":18.720815436216814,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:04","startHours":18.520815436216814,"endHours":19.071393146856618,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.270815436216814,"endHours":20.020815436216814,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.473420740027336,"endHours":24.354345077051022,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:18","end":"06:58","startHours":5.306950380861545,"endHours":6.958683512780953,"quality":"inauspicious"},{"name":"Udveg","start":"06:58","end":"08:37","startHours":6.958683512780953,"endHours":8.610416644700361,"quality":"inauspicious"},{"name":"Chala","start":"08:37","end":"10:16","startHours":8.610416644700361,"endHours":10.262149776619772,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:55","startHours":10.262149776619772,"endHours":11.913882908539179,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:34","startHours":11.913882908539179,"endHours":13.56561604045859,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"15:13","startHours":13.56561604045859,"endHours":15.217349172377997,"quality":"inauspicious"},{"name":"Śubha","start":"15:13","end":"16:52","startHours":15.217349172377997,"endHours":16.869082304297407,"quality":"auspicious"},{"name":"Roga","start":"16:52","end":"18:31","startHours":16.869082304297407,"endHours":18.520815436216814,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:31","end":"19:52","startHours":18.520815436216814,"endHours":19.869082304297407,"quality":"inauspicious"},{"name":"Śubha","start":"19:52","end":"21:13","startHours":19.869082304297407,"endHours":21.217349172377997,"quality":"auspicious"},{"name":"Roga","start":"21:13","end":"22:34","startHours":21.217349172377997,"endHours":22.565616040458586,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"23:55","startHours":22.565616040458586,"endHours":23.91388290853918,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:16","startHours":23.91388290853918,"endHours":25.262149776619772,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:37","startHours":25.262149776619772,"endHours":26.61041664470036,"quality":"auspicious"},{"name":"Amṛta","start":"02:37","end":"03:58","startHours":26.61041664470036,"endHours":27.95868351278095,"quality":"auspicious"},{"name":"Kāla","start":"03:58","end":"05:18","startHours":27.95868351278095,"endHours":29.306950380861544,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.306950380861545,"endHours":6.306950380861545,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.306950380861545,"endHours":7.306950380861545,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.306950380861545,"endHours":8.306950380861544,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.306950380861544,"endHours":9.306950380861544,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.306950380861544,"endHours":10.306950380861544,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.306950380861544,"endHours":11.306950380861544,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.306950380861544,"endHours":12.306950380861544,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.306950380861544,"endHours":13.306950380861544,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.306950380861544,"endHours":14.306950380861544,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.306950380861544,"endHours":15.306950380861544,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.306950380861544,"endHours":16.306950380861544,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.306950380861544,"endHours":17.306950380861544,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.306950380861544,"endHours":18.306950380861544,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.306950380861544,"endHours":19.306950380861544,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.306950380861544,"endHours":20.306950380861544,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.306950380861544,"endHours":21.306950380861544,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.306950380861544,"endHours":22.306950380861544,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.306950380861544,"endHours":23.306950380861544,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.306950380861544,"endHours":24.306950380861544,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.306950380861544,"endHours":25.306950380861544,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.306950380861544,"endHours":26.306950380861544,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.306950380861544,"endHours":27.306950380861544,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.306950380861544,"endHours":28.306950380861544,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.306950380861544,"endHours":29.306950380861544,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.15996995086457,"eotMinutes":-6.071374512350812,"ayanamsa":26.3895}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ṣaṣṭhī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 July 31, 2181 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 31, 2181 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:18, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2181-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2181-07-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2181-07-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2181-07-31","x-default":"https://vidhyamitra.com/city/ranchi/2181-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T23:47:18.142Z","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":"2026-06-03T23:47:18.142Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T23:47:18.142Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}