{"id":"vidhyamitra:city-day:ranchi:2025-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2025-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2025-08-13","date_display":"August 13, 2025 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":2025,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460900.770833,"kali_year":5127,"ahargana":1872435.2708,"sun":{"sidereal_longitude":115.6919,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":342.5246,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.8327,"elapsed_within_tithi_degrees":10.8327},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.5246,"elapsed_within_degrees":9.1912},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.2165},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2025,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460900.770833,"ahargana":1872435.2708,"kali_year":5127,"ayanamsa_lahiri":24.2108,"grahas":{"sun":{"sidereal_longitude":116.35565099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":344.174251,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":1.0232},"mars":{"sidereal_longitude":159.20755099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":99.80925100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":79.92375100000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":80.450651,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":337.013751,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":329.3686,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":149.3686,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2025,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460900.770833,"kali_year":5127,"ahargana":1872435.2708,"sun":{"sidereal_longitude":115.6919,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":342.5246,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.8327,"elapsed_within_tithi_degrees":10.8327},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":342.5246,"elapsed_within_degrees":9.1912},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.2165},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.023,"elongation":133.167},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.023,"opposition_distance":46.833}},"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":"05:24","sunsetLocal":"18:23","solarNoonLocal":"11:53","dayLengthHours":12.988641053053827,"dayLengthDisplay":"12 Hours 59 Mins 19 Secs","nightLengthDisplay":"11 Hours 00 Mins 41 Secs","moonriseLocal":"20:56","moonsetLocal":"09:13","rahuKala":{"name":"Rāhu Kāla","start":"11:53","end":"13:31","startHours":11.888718678970257,"endHours":13.512298810601985,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:01","end":"08:38","startHours":7.01797828407507,"endHours":8.641558415706799,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:16","end":"11:53","startHours":10.265138547338527,"endHours":11.888718678970257,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:51","startHours":8.42508106482257,"endHours":8.85803576659103,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:17","startHours":5.935591529653919,"endHours":6.281955291068687,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.455763977201796,"endHours":12.321673380738718,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:32","startHours":3.6625793453694984,"endHours":4.528488748906421,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:24","startHours":4.3120113980221895,"endHours":5.394398152443342,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:55","startHours":14.05349218781256,"endHours":14.919401591349482,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.18303920549717,"endHours":18.58303920549717,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:55","startHours":18.38303920549717,"endHours":18.924232582707745,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.13303920549717,"endHours":19.88303920549717,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.455763977201794,"endHours":24.32167338073872,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:24","end":"07:01","startHours":5.394398152443342,"endHours":7.01797828407507,"quality":"auspicious"},{"name":"Amṛta","start":"07:01","end":"08:38","startHours":7.01797828407507,"endHours":8.641558415706799,"quality":"auspicious"},{"name":"Kāla","start":"08:38","end":"10:16","startHours":8.641558415706799,"endHours":10.265138547338527,"quality":"inauspicious"},{"name":"Śubha","start":"10:16","end":"11:53","startHours":10.265138547338527,"endHours":11.888718678970257,"quality":"auspicious"},{"name":"Roga","start":"11:53","end":"13:31","startHours":11.888718678970257,"endHours":13.512298810601985,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"15:08","startHours":13.512298810601985,"endHours":15.135878942233713,"quality":"inauspicious"},{"name":"Chala","start":"15:08","end":"16:46","startHours":15.135878942233713,"endHours":16.759459073865443,"quality":"neutral"},{"name":"Labha","start":"16:46","end":"18:23","startHours":16.759459073865443,"endHours":18.38303920549717,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:23","end":"19:46","startHours":18.38303920549717,"endHours":19.75945907386544,"quality":"inauspicious"},{"name":"Chala","start":"19:46","end":"21:08","startHours":19.75945907386544,"endHours":21.135878942233713,"quality":"neutral"},{"name":"Labha","start":"21:08","end":"22:31","startHours":21.135878942233713,"endHours":22.512298810601983,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"23:53","startHours":22.512298810601983,"endHours":23.888718678970257,"quality":"auspicious"},{"name":"Kāla","start":"23:53","end":"01:16","startHours":23.888718678970257,"endHours":25.265138547338527,"quality":"inauspicious"},{"name":"Śubha","start":"01:16","end":"02:38","startHours":25.265138547338527,"endHours":26.641558415706797,"quality":"auspicious"},{"name":"Roga","start":"02:38","end":"04:01","startHours":26.641558415706797,"endHours":28.01797828407507,"quality":"inauspicious"},{"name":"Udveg","start":"04:01","end":"05:24","startHours":28.01797828407507,"endHours":29.394398152443344,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.394398152443342,"endHours":6.394398152443342,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.394398152443342,"endHours":7.394398152443342,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.394398152443342,"endHours":8.394398152443342,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.394398152443342,"endHours":9.394398152443342,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.394398152443342,"endHours":10.394398152443342,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.394398152443342,"endHours":11.394398152443342,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.394398152443342,"endHours":12.394398152443342,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.394398152443342,"endHours":13.394398152443342,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.394398152443342,"endHours":14.394398152443342,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.394398152443342,"endHours":15.394398152443342,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.394398152443342,"endHours":16.394398152443344,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.394398152443344,"endHours":17.394398152443344,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.394398152443344,"endHours":18.394398152443344,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.394398152443344,"endHours":19.394398152443344,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.394398152443344,"endHours":20.394398152443344,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.394398152443344,"endHours":21.394398152443344,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.394398152443344,"endHours":22.394398152443344,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.394398152443344,"endHours":23.394398152443344,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.394398152443344,"endHours":24.394398152443344,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.394398152443344,"endHours":25.394398152443344,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.394398152443344,"endHours":26.394398152443344,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.394398152443344,"endHours":27.394398152443344,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.394398152443344,"endHours":28.394398152443344,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.394398152443344,"endHours":29.394398152443344,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Mudgara","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":14.633365352745079,"eotMinutes":-4.561520738215509,"ayanamsa":24.2108}},"calendars":{"vikram_samvat":2082,"vikram_samvatsara":"Kālayukta","saka_samvat":1947,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1432,"malayalam_era":1201,"nanakshahi_year":556,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram 2082 Kālayukta · Śaka 1947 Viśvāvasu"},"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":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 August 13, 2025 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 13, 2025 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 05:24, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2025-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2025-08-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2025-08-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2025-08-13","x-default":"https://vidhyamitra.com/city/ranchi/2025-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:35:25.135Z","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":"2026-05-14T17:35:25.135Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:35:25.135Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}