{"id":"vidhyamitra:city-day:ranchi:2113-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2113-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-20","date_display":"July 20, 2113 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":2113,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493017.770833,"kali_year":5215,"ahargana":1904552.2708,"sun":{"sidereal_longitude":91.1928,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.8537,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6608,"elapsed_within_tithi_degrees":9.6608},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.8537,"elapsed_within_degrees":12.8537},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0465},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2113,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493017.770833,"ahargana":1904552.2708,"kali_year":5215,"ayanamsa_lahiri":25.4392,"grahas":{"sun":{"sidereal_longitude":91.91704600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":172.12474599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":4.3423},"mars":{"sidereal_longitude":101.029046,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":74.30634599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":201.105146,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":54.837545999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":332.439346,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.6553,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.6553,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"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":2113,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493017.770833,"kali_year":5215,"ahargana":1904552.2708,"sun":{"sidereal_longitude":91.1928,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.8537,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6608,"elapsed_within_tithi_degrees":9.6608},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.8537,"elapsed_within_degrees":12.8537},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0465},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.342,"elongation":81.661},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.342,"opposition_distance":98.339}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":1.347,"elongation":0.9}]},"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":"05:13","sunsetLocal":"18:36","solarNoonLocal":"11:55","dayLengthHours":13.381773628173214,"dayLengthDisplay":"13 Hours 22 Mins 54 Secs","nightLengthDisplay":"10 Hours 37 Mins 06 Secs","moonriseLocal":"11:25","moonsetLocal":"23:06","rahuKala":{"name":"Rāhu Kāla","start":"13:35","end":"15:15","startHours":13.585318723774275,"endHours":15.258040427295928,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:13","end":"06:54","startHours":5.2217102061660166,"endHours":6.894431909687668,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:34","end":"10:14","startHours":8.567153613209321,"endHours":10.239875316730972,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:47","startHours":8.344124052739765,"endHours":8.790183173678873,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:47","end":"06:08","startHours":5.7792841073399,"endHours":6.136131404091186,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.466537899313515,"endHours":12.35865614119173,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:20","startHours":3.437473722409588,"endHours":4.329591964287802,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:13","startHours":4.106562403818248,"endHours":5.2217102061660166,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.142892624948157,"endHours":15.03501086682637,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.40348383433923,"endHours":18.80348383433923,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:10","startHours":18.60348383433923,"endHours":19.161057735513115,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.35348383433923,"endHours":20.10348383433923,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.466537899313515,"endHours":24.35865614119173,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:13","end":"06:54","startHours":5.2217102061660166,"endHours":6.894431909687668,"quality":"auspicious"},{"name":"Roga","start":"06:54","end":"08:34","startHours":6.894431909687668,"endHours":8.567153613209321,"quality":"inauspicious"},{"name":"Udveg","start":"08:34","end":"10:14","startHours":8.567153613209321,"endHours":10.239875316730972,"quality":"inauspicious"},{"name":"Chala","start":"10:14","end":"11:55","startHours":10.239875316730972,"endHours":11.912597020252623,"quality":"neutral"},{"name":"Labha","start":"11:55","end":"13:35","startHours":11.912597020252623,"endHours":13.585318723774275,"quality":"auspicious"},{"name":"Amṛta","start":"13:35","end":"15:15","startHours":13.585318723774275,"endHours":15.258040427295928,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:56","startHours":15.258040427295928,"endHours":16.930762130817577,"quality":"inauspicious"},{"name":"Śubha","start":"16:56","end":"18:36","startHours":16.930762130817577,"endHours":18.60348383433923,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:36","end":"19:56","startHours":18.60348383433923,"endHours":19.930762130817577,"quality":"auspicious"},{"name":"Kāla","start":"19:56","end":"21:15","startHours":19.930762130817577,"endHours":21.258040427295924,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:35","startHours":21.258040427295924,"endHours":22.585318723774275,"quality":"auspicious"},{"name":"Roga","start":"22:35","end":"23:55","startHours":22.585318723774275,"endHours":23.912597020252623,"quality":"inauspicious"},{"name":"Udveg","start":"23:55","end":"01:14","startHours":23.912597020252623,"endHours":25.23987531673097,"quality":"inauspicious"},{"name":"Chala","start":"01:14","end":"02:34","startHours":25.23987531673097,"endHours":26.56715361320932,"quality":"neutral"},{"name":"Labha","start":"02:34","end":"03:54","startHours":26.56715361320932,"endHours":27.89443190968767,"quality":"auspicious"},{"name":"Amṛta","start":"03:54","end":"05:13","startHours":27.89443190968767,"endHours":29.221710206166016,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.2217102061660166,"endHours":6.2217102061660166,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.2217102061660166,"endHours":7.2217102061660166,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.2217102061660166,"endHours":8.221710206166016,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.221710206166016,"endHours":9.221710206166016,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.221710206166016,"endHours":10.221710206166016,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.221710206166016,"endHours":11.221710206166016,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.221710206166016,"endHours":12.221710206166016,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.221710206166016,"endHours":13.221710206166016,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.221710206166016,"endHours":14.221710206166016,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.221710206166016,"endHours":15.221710206166016,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.221710206166016,"endHours":16.221710206166016,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.221710206166016,"endHours":17.221710206166016,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.221710206166016,"endHours":18.221710206166016,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.221710206166016,"endHours":19.221710206166016,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.221710206166016,"endHours":20.221710206166016,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.221710206166016,"endHours":21.221710206166016,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.221710206166016,"endHours":22.221710206166016,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.221710206166016,"endHours":23.221710206166016,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.221710206166016,"endHours":24.221710206166016,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.221710206166016,"endHours":25.221710206166016,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.221710206166016,"endHours":26.221710206166016,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.221710206166016,"endHours":27.221710206166016,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.221710206166016,"endHours":28.221710206166016,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.221710206166016,"endHours":29.221710206166016,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.68639258018882,"eotMinutes":-5.99422121515736,"ayanamsa":25.4392}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","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":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Saptamī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 2113 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 20, 2113 CE for Ranchi, Jharkhand: Śukla Saptamī, sūryodaya 05:13, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2113-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2113-07-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2113-07-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2113-07-20","x-default":"https://vidhyamitra.com/city/ranchi/2113-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:30:45.746Z","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":"2026-05-31T20:30:45.746Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:30:45.746Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}