{"id":"vidhyamitra:city-day:ranchi:2027-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2027-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2027-07-31","date_display":"July 31, 2027 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":2027,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461617.770833,"kali_year":5129,"ahargana":1873152.2708,"sun":{"sidereal_longitude":102.8184,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":70.7531,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.9347,"elapsed_within_tithi_degrees":3.9347},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.7531,"elapsed_within_degrees":4.0864},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.5715},"karana":{"half_tithi_index":54,"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":2027,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461617.770833,"ahargana":1873152.2708,"kali_year":5129,"ayanamsa_lahiri":24.2382,"grahas":{"sun":{"sidereal_longitude":103.41105600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":69.70935600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":2.9283},"mars":{"sidereal_longitude":164.68325600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":90.59035599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":126.54465600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":99.747256,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":3.579656,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":291.3785,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.3785,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"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":2027,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461617.770833,"kali_year":5129,"ahargana":1873152.2708,"sun":{"sidereal_longitude":102.8184,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":70.7531,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.9347,"elapsed_within_tithi_degrees":3.9347},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.7531,"elapsed_within_degrees":4.0864},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.5715},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.928,"elongation":32.065},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.928,"opposition_distance":147.935}},"eclipse_window_40days":[{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":0.487,"opposition_distance":2.324}]},"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":"18:32","solarNoonLocal":"11:55","dayLengthHours":13.226641801898795,"dayLengthDisplay":"13 Hours 13 Mins 36 Secs","nightLengthDisplay":"10 Hours 46 Mins 24 Secs","moonriseLocal":"02:54","moonsetLocal":"16:26","rahuKala":{"name":"Rāhu Kāla","start":"08:36","end":"10:16","startHours":8.607222458064479,"endHours":10.260552683301828,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:34","end":"15:13","startHours":13.567213133776528,"endHours":15.220543359013877,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:18","end":"06:57","startHours":5.300562007589781,"endHours":6.95389223282713,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.386778428032834,"endHours":8.827666488096126,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:12","startHours":5.851672082668897,"endHours":6.204382530719532,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.472994848475885,"endHours":12.354770968602473,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:25","startHours":3.537009767336608,"endHours":4.418785887463194,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:18","startHours":4.198341857431547,"endHours":5.300562007589781,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"15:00","startHours":14.118323208855644,"endHours":15.00009932898223,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:20","end":"18:44","startHours":18.327203809488577,"endHours":18.727203809488575,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:32","end":"19:05","startHours":18.527203809488576,"endHours":19.07831388456769,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:17","end":"20:02","startHours":18.277203809488576,"endHours":20.027203809488576,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.472994848475885,"endHours":24.354770968602473,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:18","end":"06:57","startHours":5.300562007589781,"endHours":6.95389223282713,"quality":"inauspicious"},{"name":"Śubha","start":"06:57","end":"08:36","startHours":6.95389223282713,"endHours":8.607222458064479,"quality":"auspicious"},{"name":"Roga","start":"08:36","end":"10:16","startHours":8.607222458064479,"endHours":10.260552683301828,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:55","startHours":10.260552683301828,"endHours":11.913882908539179,"quality":"inauspicious"},{"name":"Chala","start":"11:55","end":"13:34","startHours":11.913882908539179,"endHours":13.567213133776528,"quality":"neutral"},{"name":"Labha","start":"13:34","end":"15:13","startHours":13.567213133776528,"endHours":15.220543359013877,"quality":"auspicious"},{"name":"Amṛta","start":"15:13","end":"16:52","startHours":15.220543359013877,"endHours":16.87387358425123,"quality":"auspicious"},{"name":"Kāla","start":"16:52","end":"18:32","startHours":16.87387358425123,"endHours":18.527203809488576,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:32","end":"19:52","startHours":18.527203809488576,"endHours":19.873873584251225,"quality":"auspicious"},{"name":"Amṛta","start":"19:52","end":"21:13","startHours":19.873873584251225,"endHours":21.220543359013877,"quality":"auspicious"},{"name":"Kāla","start":"21:13","end":"22:34","startHours":21.220543359013877,"endHours":22.567213133776526,"quality":"inauspicious"},{"name":"Śubha","start":"22:34","end":"23:55","startHours":22.567213133776526,"endHours":23.91388290853918,"quality":"auspicious"},{"name":"Roga","start":"23:55","end":"01:16","startHours":23.91388290853918,"endHours":25.260552683301828,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:36","startHours":25.260552683301828,"endHours":26.607222458064477,"quality":"inauspicious"},{"name":"Chala","start":"02:36","end":"03:57","startHours":26.607222458064477,"endHours":27.95389223282713,"quality":"neutral"},{"name":"Labha","start":"03:57","end":"05:18","startHours":27.95389223282713,"endHours":29.300562007589782,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.300562007589781,"endHours":6.300562007589781,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.300562007589781,"endHours":7.300562007589781,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.300562007589781,"endHours":8.30056200758978,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.30056200758978,"endHours":9.30056200758978,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.30056200758978,"endHours":10.30056200758978,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.30056200758978,"endHours":11.30056200758978,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.30056200758978,"endHours":12.30056200758978,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.30056200758978,"endHours":13.30056200758978,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.30056200758978,"endHours":14.30056200758978,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.30056200758978,"endHours":15.30056200758978,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.30056200758978,"endHours":16.300562007589782,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.300562007589782,"endHours":17.300562007589782,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.300562007589782,"endHours":18.300562007589782,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.300562007589782,"endHours":19.300562007589782,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.300562007589782,"endHours":20.300562007589782,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.300562007589782,"endHours":21.300562007589782,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.300562007589782,"endHours":22.300562007589782,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.300562007589782,"endHours":23.300562007589782,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.300562007589782,"endHours":24.300562007589782,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.300562007589782,"endHours":25.300562007589782,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.300562007589782,"endHours":26.300562007589782,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.300562007589782,"endHours":27.300562007589782,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.300562007589782,"endHours":28.300562007589782,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.300562007589782,"endHours":29.300562007589782,"planetary_lord":"Mercury"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"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":18.35541513867788,"eotMinutes":-6.071374512350812,"ayanamsa":24.2382}},"calendars":{"vikram_samvat":2084,"vikram_samvatsara":"Raudra","saka_samvat":1949,"saka_samvatsara":"Plavaṅga","bengali_samvat":1434,"malayalam_era":1203,"nanakshahi_year":558,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 2084 Raudra · Śaka 1949 Plavaṅga"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"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, 2027 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 31, 2027 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:18, sūryāsta 18:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2027-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2027-07-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2027-07-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2027-07-31","x-default":"https://vidhyamitra.com/city/ranchi/2027-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:13:50.771Z","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":"2026-05-14T20:13:50.771Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:13:50.771Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}