{"id":"vidhyamitra:city-day:ranchi:2032-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2032-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2032-07-31","date_display":"July 31, 2032 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":2032,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463444.770833,"kali_year":5134,"ahargana":1874979.2708,"sun":{"sidereal_longitude":103.4895,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":30.9744,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.4848,"elapsed_within_tithi_degrees":11.4848},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.9744,"elapsed_within_degrees":4.3077},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.4639},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2032,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463444.770833,"ahargana":1874979.2708,"kali_year":5134,"ayanamsa_lahiri":24.3081,"grahas":{"sun":{"sidereal_longitude":104.09845200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":34.026351999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-1.2693},"mars":{"sidereal_longitude":97.57415200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":92.48605199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":271.198352,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":119.70405199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":67.50765200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":194.5752,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":14.5752,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"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":2032,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463444.770833,"kali_year":5134,"ahargana":1874979.2708,"sun":{"sidereal_longitude":103.4895,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":30.9744,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.4848,"elapsed_within_tithi_degrees":11.4848},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.9744,"elapsed_within_degrees":4.3077},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":134.4639},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.269,"elongation":72.515},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.269,"opposition_distance":107.485}},"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":13.21386873938087,"dayLengthDisplay":"13 Hours 12 Mins 50 Secs","nightLengthDisplay":"10 Hours 47 Mins 10 Secs","moonriseLocal":"00:36","moonsetLocal":"13:53","rahuKala":{"name":"Rāhu Kāla","start":"08:37","end":"10:16","startHours":8.610415723693963,"endHours":10.26214931611657,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:34","end":"15:13","startHours":13.565616500961788,"endHours":15.217350093384397,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:18","end":"06:58","startHours":5.306948538848745,"endHours":6.958682131271354,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.390184578037616,"endHours":8.83064686935031,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.857526402989615,"endHours":6.209896236039771,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.473420617226484,"endHours":12.354345199851874,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:26","startHours":3.545099373597963,"endHours":4.426023956223354,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:18","startHours":4.205792810567006,"endHours":5.306948538848745,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"15:00","startHours":14.11619436510266,"endHours":14.997118947728051,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.320817278229615,"endHours":18.720817278229614,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:04","startHours":18.520817278229615,"endHours":19.071395142370484,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.270817278229615,"endHours":20.020817278229615,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.473420617226484,"endHours":24.354345199851874,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:18","end":"06:58","startHours":5.306948538848745,"endHours":6.958682131271354,"quality":"inauspicious"},{"name":"Śubha","start":"06:58","end":"08:37","startHours":6.958682131271354,"endHours":8.610415723693963,"quality":"auspicious"},{"name":"Roga","start":"08:37","end":"10:16","startHours":8.610415723693963,"endHours":10.26214931611657,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:55","startHours":10.26214931611657,"endHours":11.913882908539179,"quality":"inauspicious"},{"name":"Chala","start":"11:55","end":"13:34","startHours":11.913882908539179,"endHours":13.565616500961788,"quality":"neutral"},{"name":"Labha","start":"13:34","end":"15:13","startHours":13.565616500961788,"endHours":15.217350093384397,"quality":"auspicious"},{"name":"Amṛta","start":"15:13","end":"16:52","startHours":15.217350093384397,"endHours":16.869083685807006,"quality":"auspicious"},{"name":"Kāla","start":"16:52","end":"18:31","startHours":16.869083685807006,"endHours":18.520817278229615,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:31","end":"19:52","startHours":18.520817278229615,"endHours":19.869083685807006,"quality":"auspicious"},{"name":"Amṛta","start":"19:52","end":"21:13","startHours":19.869083685807006,"endHours":21.217350093384397,"quality":"auspicious"},{"name":"Kāla","start":"21:13","end":"22:34","startHours":21.217350093384397,"endHours":22.565616500961788,"quality":"inauspicious"},{"name":"Śubha","start":"22:34","end":"23:55","startHours":22.565616500961788,"endHours":23.91388290853918,"quality":"auspicious"},{"name":"Roga","start":"23:55","end":"01:16","startHours":23.91388290853918,"endHours":25.26214931611657,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:37","startHours":25.26214931611657,"endHours":26.61041572369396,"quality":"inauspicious"},{"name":"Chala","start":"02:37","end":"03:58","startHours":26.61041572369396,"endHours":27.958682131271352,"quality":"neutral"},{"name":"Labha","start":"03:58","end":"05:18","startHours":27.958682131271352,"endHours":29.306948538848744,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.306948538848745,"endHours":6.306948538848745,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.306948538848745,"endHours":7.306948538848745,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.306948538848745,"endHours":8.306948538848745,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.306948538848745,"endHours":9.306948538848745,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.306948538848745,"endHours":10.306948538848745,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.306948538848745,"endHours":11.306948538848745,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.306948538848745,"endHours":12.306948538848745,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.306948538848745,"endHours":13.306948538848745,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.306948538848745,"endHours":14.306948538848745,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.306948538848745,"endHours":15.306948538848745,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.306948538848745,"endHours":16.306948538848744,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.306948538848744,"endHours":17.306948538848744,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.306948538848744,"endHours":18.306948538848744,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.306948538848744,"endHours":19.306948538848744,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.306948538848744,"endHours":20.306948538848744,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.306948538848744,"endHours":21.306948538848744,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.306948538848744,"endHours":22.306948538848744,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.306948538848744,"endHours":23.306948538848744,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.306948538848744,"endHours":24.306948538848744,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.306948538848744,"endHours":25.306948538848744,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.306948538848744,"endHours":26.306948538848744,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.306948538848744,"endHours":27.306948538848744,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.306948538848744,"endHours":28.306948538848744,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.306948538848744,"endHours":29.306948538848744,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.160026379428448,"eotMinutes":-6.071374512350812,"ayanamsa":24.3081}},"calendars":{"vikram_samvat":2089,"vikram_samvatsara":"Krodhana","saka_samvat":1954,"saka_samvatsara":"Paridhāvi","bengali_samvat":1439,"malayalam_era":1208,"nanakshahi_year":563,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2089 Krodhana · Śaka 1954 Paridhāvi"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 July 31, 2032 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 31, 2032 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:18, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2032-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2032-07-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2032-07-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2032-07-31","x-default":"https://vidhyamitra.com/city/ranchi/2032-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T01:45:19.245Z","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":"2026-05-15T01:45:19.245Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T01:45:19.245Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}