{"id":"vidhyamitra:city-day:ranchi:2021-07-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2021-07-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-07-03","date_display":"July 3, 2021 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":2021,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459398.770833,"kali_year":5123,"ahargana":1870933.2708,"sun":{"sidereal_longitude":76.8063,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":357.7351,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.9288,"elapsed_within_tithi_degrees":4.9288},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":357.7351,"elapsed_within_degrees":11.0684},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.5414},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2021,"month":7,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459398.770833,"ahargana":1870933.2708,"kali_year":5123,"ayanamsa_lahiri":24.1534,"grahas":{"sun":{"sidereal_longitude":77.20473900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":0.1869389999999953,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-3.5064},"mars":{"sidereal_longitude":108.81293900000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":55.49423899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":307.752739,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":102.66263900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":288.130639,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":48.9517,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":228.9517,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2021,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459398.770833,"kali_year":5123,"ahargana":1870933.2708,"sun":{"sidereal_longitude":76.8063,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":357.7351,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.9288,"elapsed_within_tithi_degrees":4.9288},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":357.7351,"elapsed_within_degrees":11.0684},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.5414},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.506,"elongation":79.071},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.506,"opposition_distance":100.929}},"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":"05:06","sunsetLocal":"18:39","solarNoonLocal":"11:53","dayLengthHours":13.537908583309438,"dayLengthDisplay":"13 Hours 32 Mins 16 Secs","nightLengthDisplay":"10 Hours 27 Mins 44 Secs","moonriseLocal":"00:25","moonsetLocal":"13:04","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"10:11","startHours":8.492240365638207,"endHours":10.184478938551885,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:34","end":"15:16","startHours":13.568956084379245,"endHours":15.261194657292926,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:06","end":"06:48","startHours":5.107763219810846,"endHours":6.800001792724526,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:43","startHours":8.266608555916381,"endHours":8.71787217536003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:02","startHours":5.6718427441154065,"endHours":6.032853639670325,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:20","startHours":11.425453892021917,"endHours":12.327981130909212,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:18","end":"04:12","startHours":3.3027087420362546,"endHours":4.20523598092355,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:06","startHours":3.9796041712017263,"endHours":5.107763219810846,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:02","startHours":14.133035608683805,"endHours":15.035562847571102,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.445671803120284,"endHours":18.845671803120283,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:13","startHours":18.645671803120283,"endHours":19.209751327424843,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.395671803120283,"endHours":20.145671803120283,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:20","startHours":23.425453892021917,"endHours":24.32798113090921,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:06","end":"06:48","startHours":5.107763219810846,"endHours":6.800001792724526,"quality":"inauspicious"},{"name":"Śubha","start":"06:48","end":"08:30","startHours":6.800001792724526,"endHours":8.492240365638207,"quality":"auspicious"},{"name":"Roga","start":"08:30","end":"10:11","startHours":8.492240365638207,"endHours":10.184478938551885,"quality":"inauspicious"},{"name":"Udveg","start":"10:11","end":"11:53","startHours":10.184478938551885,"endHours":11.876717511465564,"quality":"inauspicious"},{"name":"Chala","start":"11:53","end":"13:34","startHours":11.876717511465564,"endHours":13.568956084379245,"quality":"neutral"},{"name":"Labha","start":"13:34","end":"15:16","startHours":13.568956084379245,"endHours":15.261194657292926,"quality":"auspicious"},{"name":"Amṛta","start":"15:16","end":"16:57","startHours":15.261194657292926,"endHours":16.953433230206603,"quality":"auspicious"},{"name":"Kāla","start":"16:57","end":"18:39","startHours":16.953433230206603,"endHours":18.645671803120283,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:39","end":"19:57","startHours":18.645671803120283,"endHours":19.953433230206603,"quality":"auspicious"},{"name":"Amṛta","start":"19:57","end":"21:16","startHours":19.953433230206603,"endHours":21.261194657292926,"quality":"auspicious"},{"name":"Kāla","start":"21:16","end":"22:34","startHours":21.261194657292926,"endHours":22.568956084379245,"quality":"inauspicious"},{"name":"Śubha","start":"22:34","end":"23:53","startHours":22.568956084379245,"endHours":23.876717511465564,"quality":"auspicious"},{"name":"Roga","start":"23:53","end":"01:11","startHours":23.876717511465564,"endHours":25.184478938551884,"quality":"inauspicious"},{"name":"Udveg","start":"01:11","end":"02:30","startHours":25.184478938551884,"endHours":26.492240365638203,"quality":"inauspicious"},{"name":"Chala","start":"02:30","end":"03:48","startHours":26.492240365638203,"endHours":27.800001792724526,"quality":"neutral"},{"name":"Labha","start":"03:48","end":"05:06","startHours":27.800001792724526,"endHours":29.107763219810845,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:06","end":"06:06","startHours":5.107763219810846,"endHours":6.107763219810846,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:06","end":"07:06","startHours":6.107763219810846,"endHours":7.107763219810846,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:06","end":"08:06","startHours":7.107763219810846,"endHours":8.107763219810845,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:06","end":"09:06","startHours":8.107763219810845,"endHours":9.107763219810845,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:06","end":"10:06","startHours":9.107763219810845,"endHours":10.107763219810845,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:06","end":"11:06","startHours":10.107763219810845,"endHours":11.107763219810845,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:06","end":"12:06","startHours":11.107763219810845,"endHours":12.107763219810845,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:06","end":"13:06","startHours":12.107763219810845,"endHours":13.107763219810845,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:06","end":"14:06","startHours":13.107763219810845,"endHours":14.107763219810845,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:06","end":"15:06","startHours":14.107763219810845,"endHours":15.107763219810845,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:06","end":"16:06","startHours":15.107763219810845,"endHours":16.107763219810845,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:06","end":"17:06","startHours":16.107763219810845,"endHours":17.107763219810845,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:06","end":"18:06","startHours":17.107763219810845,"endHours":18.107763219810845,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:06","end":"19:06","startHours":18.107763219810845,"endHours":19.107763219810845,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:06","end":"20:06","startHours":19.107763219810845,"endHours":20.107763219810845,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:06","end":"21:06","startHours":20.107763219810845,"endHours":21.107763219810845,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:06","end":"22:06","startHours":21.107763219810845,"endHours":22.107763219810845,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:06","end":"23:06","startHours":22.107763219810845,"endHours":23.107763219810845,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:06","end":"00:06","startHours":23.107763219810845,"endHours":24.107763219810845,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:06","end":"01:06","startHours":24.107763219810845,"endHours":25.107763219810845,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:06","end":"02:06","startHours":25.107763219810845,"endHours":26.107763219810845,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:06","end":"03:06","startHours":26.107763219810845,"endHours":27.107763219810845,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:06","end":"04:06","startHours":27.107763219810845,"endHours":28.107763219810845,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:06","end":"05:06","startHours":28.107763219810845,"endHours":29.107763219810845,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":22.950952724811152,"eotMinutes":-3.8414506879338766,"ayanamsa":24.1534}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Navamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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 3, 2021 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 3, 2021 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:06, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2021-07-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2021-07-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2021-07-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2021-07-03","x-default":"https://vidhyamitra.com/city/ranchi/2021-07-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T00:31:33.892Z","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":"2026-05-15T00:31:33.892Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:31:33.892Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}