{"id":"vidhyamitra:city-day:ranchi:2109-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2109-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-07-28","date_display":"July 28, 2109 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":2109,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491564.770833,"kali_year":5211,"ahargana":1903099.2708,"sun":{"sidereal_longitude":98.8127,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":99.8963,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":1.0837,"elapsed_within_tithi_degrees":1.0837},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.8963,"elapsed_within_degrees":6.563},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.709},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2109,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491564.770833,"ahargana":1903099.2708,"kali_year":5211,"ayanamsa_lahiri":25.3836,"grahas":{"sun":{"sidereal_longitude":99.57836099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":101.42286100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-3.1662},"mars":{"sidereal_longitude":81.650461,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":124.82476099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":99.16336100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":135.390061,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":281.121661,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":144.6423,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":324.6423,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2109,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491564.770833,"kali_year":5211,"ahargana":1903099.2708,"sun":{"sidereal_longitude":98.8127,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":99.8963,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":1.0837,"elapsed_within_tithi_degrees":1.0837},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.8963,"elapsed_within_degrees":6.563},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.709},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.166,"elongation":1.084},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.166,"opposition_distance":178.916}},"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":"05:17","sunsetLocal":"18:33","solarNoonLocal":"11:55","dayLengthHours":13.27057052378446,"dayLengthDisplay":"13 Hours 16 Mins 14 Secs","nightLengthDisplay":"10 Hours 43 Mins 46 Secs","moonriseLocal":"05:26","moonsetLocal":"18:38","rahuKala":{"name":"Rāhu Kāla","start":"16:54","end":"18:33","startHours":16.891996491025857,"endHours":18.550817806498916,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:55","end":"13:34","startHours":11.915532544606684,"endHours":13.574353860079743,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:14","end":"16:54","startHours":15.233175175552802,"endHours":16.891996491025857,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:49","startHours":8.376713738264161,"endHours":8.819066089056978,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:11","startHours":5.833187721205474,"endHours":6.187069601839726,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.47318019381387,"endHours":12.3578848953995,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:24","startHours":3.5108378795431934,"endHours":4.395542581128824,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:17","startHours":4.174366405732416,"endHours":5.280247282714455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.127294298570764,"endHours":15.011999000156395,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:21","end":"18:45","startHours":18.350817806498917,"endHours":18.750817806498915,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:33","end":"19:06","startHours":18.550817806498916,"endHours":19.103758244989937,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:18","end":"20:03","startHours":18.300817806498916,"endHours":20.050817806498916,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.473180193813867,"endHours":24.3578848953995,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:17","end":"06:56","startHours":5.280247282714455,"endHours":6.939068598187513,"quality":"inauspicious"},{"name":"Chala","start":"06:56","end":"08:36","startHours":6.939068598187513,"endHours":8.59788991366057,"quality":"neutral"},{"name":"Labha","start":"08:36","end":"10:15","startHours":8.59788991366057,"endHours":10.256711229133629,"quality":"auspicious"},{"name":"Amṛta","start":"10:15","end":"11:55","startHours":10.256711229133629,"endHours":11.915532544606684,"quality":"auspicious"},{"name":"Kāla","start":"11:55","end":"13:34","startHours":11.915532544606684,"endHours":13.574353860079743,"quality":"inauspicious"},{"name":"Śubha","start":"13:34","end":"15:14","startHours":13.574353860079743,"endHours":15.233175175552802,"quality":"auspicious"},{"name":"Roga","start":"15:14","end":"16:54","startHours":15.233175175552802,"endHours":16.891996491025857,"quality":"inauspicious"},{"name":"Udveg","start":"16:54","end":"18:33","startHours":16.891996491025857,"endHours":18.550817806498916,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:33","end":"19:54","startHours":18.550817806498916,"endHours":19.891996491025857,"quality":"auspicious"},{"name":"Roga","start":"19:54","end":"21:14","startHours":19.891996491025857,"endHours":21.2331751755528,"quality":"inauspicious"},{"name":"Udveg","start":"21:14","end":"22:34","startHours":21.2331751755528,"endHours":22.574353860079743,"quality":"inauspicious"},{"name":"Chala","start":"22:34","end":"23:55","startHours":22.574353860079743,"endHours":23.915532544606684,"quality":"neutral"},{"name":"Labha","start":"23:55","end":"01:15","startHours":23.915532544606684,"endHours":25.25671122913363,"quality":"auspicious"},{"name":"Amṛta","start":"01:15","end":"02:36","startHours":25.25671122913363,"endHours":26.59788991366057,"quality":"auspicious"},{"name":"Kāla","start":"02:36","end":"03:56","startHours":26.59788991366057,"endHours":27.93906859818751,"quality":"inauspicious"},{"name":"Śubha","start":"03:56","end":"05:17","startHours":27.93906859818751,"endHours":29.280247282714456,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.280247282714455,"endHours":6.280247282714455,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.280247282714455,"endHours":7.280247282714455,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.280247282714455,"endHours":8.280247282714456,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.280247282714456,"endHours":9.280247282714456,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.280247282714456,"endHours":10.280247282714456,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.280247282714456,"endHours":11.280247282714456,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.280247282714456,"endHours":12.280247282714456,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.280247282714456,"endHours":13.280247282714456,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.280247282714456,"endHours":14.280247282714456,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.280247282714456,"endHours":15.280247282714456,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.280247282714456,"endHours":16.280247282714456,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.280247282714456,"endHours":17.280247282714456,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.280247282714456,"endHours":18.280247282714456,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.280247282714456,"endHours":19.280247282714456,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.280247282714456,"endHours":20.280247282714456,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.280247282714456,"endHours":21.280247282714456,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.280247282714456,"endHours":22.280247282714456,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.280247282714456,"endHours":23.280247282714456,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.280247282714456,"endHours":24.280247282714456,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.280247282714456,"endHours":25.280247282714456,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.280247282714456,"endHours":26.280247282714456,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.280247282714456,"endHours":27.280247282714456,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.280247282714456,"endHours":28.280247282714456,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.280247282714456,"endHours":29.280247282714456,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.02342787237022,"eotMinutes":-6.170352676401169,"ayanamsa":25.3836}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 28, 2109 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 28, 2109 CE for Ranchi, Jharkhand: Śukla Pratipada, sūryodaya 05:17, sūryāsta 18:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2109-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2109-07-28","sa":"https://sa.vidhyamitra.com/city/ranchi/2109-07-28","hi":"https://hi.vidhyamitra.com/city/ranchi/2109-07-28","x-default":"https://vidhyamitra.com/city/ranchi/2109-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:20:24.383Z","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":"2026-06-01T14:20:24.383Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:20:24.383Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}