{"id":"vidhyamitra:city-day:ranchi:2108-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2108-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2108-08-20","date_display":"August 20, 2108 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":2108,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491222.770833,"kali_year":5210,"ahargana":1902757.2708,"sun":{"sidereal_longitude":120.9717,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":284.2249,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.2532,"elapsed_within_tithi_degrees":7.2532},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":284.2249,"elapsed_within_degrees":4.2249},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.1966},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2108,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491222.770833,"ahargana":1902757.2708,"kali_year":5210,"ayanamsa_lahiri":25.3705,"grahas":{"sun":{"sidereal_longitude":121.86492799999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":284.71912799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":3.8374},"mars":{"sidereal_longitude":191.749328,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":147.75842799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":78.85422800000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":77.23382800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":267.18742799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":162.7631,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":342.7631,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2108,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491222.770833,"kali_year":5210,"ahargana":1902757.2708,"sun":{"sidereal_longitude":120.9717,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":284.2249,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.2532,"elapsed_within_tithi_degrees":7.2532},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":284.2249,"elapsed_within_degrees":4.2249},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.1966},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.837,"elongation":163.253},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.837,"opposition_distance":16.747}},"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":"05:26","sunsetLocal":"18:17","solarNoonLocal":"11:52","dayLengthHours":12.852350871323416,"dayLengthDisplay":"12 Hours 51 Mins 08 Secs","nightLengthDisplay":"11 Hours 08 Mins 52 Secs","moonriseLocal":"17:12","moonsetLocal":"04:14","rahuKala":{"name":"Rāhu Kāla","start":"07:03","end":"08:39","startHours":7.043895271762556,"endHours":8.650439130677983,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:15","end":"11:52","startHours":10.25698298959341,"endHours":11.863526848508837,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"15:05","startHours":13.470070707424263,"endHours":15.07661456633969,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.436233282822592,"endHours":8.864644978533374,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:19","startHours":5.972866032485604,"endHours":6.315595389054229,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:18","startHours":11.435115152798057,"endHours":12.291938544219617,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:35","startHours":3.7237046300040064,"endHours":4.580528021425567,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:26","startHours":4.366322173570177,"endHours":5.4373514128471285,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:52","startHours":14.00558532706274,"endHours":14.8624087184843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.089702284170546,"endHours":18.489702284170544,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:50","startHours":18.289702284170545,"endHours":18.82521690380902,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.039702284170545,"endHours":19.789702284170545,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:18","startHours":23.435115152798055,"endHours":24.29193854421962,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:26","end":"07:03","startHours":5.4373514128471285,"endHours":7.043895271762556,"quality":"auspicious"},{"name":"Kāla","start":"07:03","end":"08:39","startHours":7.043895271762556,"endHours":8.650439130677983,"quality":"inauspicious"},{"name":"Śubha","start":"08:39","end":"10:15","startHours":8.650439130677983,"endHours":10.25698298959341,"quality":"auspicious"},{"name":"Roga","start":"10:15","end":"11:52","startHours":10.25698298959341,"endHours":11.863526848508837,"quality":"inauspicious"},{"name":"Udveg","start":"11:52","end":"13:28","startHours":11.863526848508837,"endHours":13.470070707424263,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"15:05","startHours":13.470070707424263,"endHours":15.07661456633969,"quality":"neutral"},{"name":"Labha","start":"15:05","end":"16:41","startHours":15.07661456633969,"endHours":16.68315842525512,"quality":"auspicious"},{"name":"Amṛta","start":"16:41","end":"18:17","startHours":16.68315842525512,"endHours":18.289702284170545,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:17","end":"19:41","startHours":18.289702284170545,"endHours":19.68315842525512,"quality":"neutral"},{"name":"Labha","start":"19:41","end":"21:05","startHours":19.68315842525512,"endHours":21.076614566339693,"quality":"auspicious"},{"name":"Amṛta","start":"21:05","end":"22:28","startHours":21.076614566339693,"endHours":22.470070707424263,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"23:52","startHours":22.470070707424263,"endHours":23.863526848508837,"quality":"inauspicious"},{"name":"Śubha","start":"23:52","end":"01:15","startHours":23.863526848508837,"endHours":25.25698298959341,"quality":"auspicious"},{"name":"Roga","start":"01:15","end":"02:39","startHours":25.25698298959341,"endHours":26.65043913067798,"quality":"inauspicious"},{"name":"Udveg","start":"02:39","end":"04:03","startHours":26.65043913067798,"endHours":28.043895271762555,"quality":"inauspicious"},{"name":"Chala","start":"04:03","end":"05:26","startHours":28.043895271762555,"endHours":29.43735141284713,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.4373514128471285,"endHours":6.4373514128471285,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.4373514128471285,"endHours":7.4373514128471285,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.4373514128471285,"endHours":8.437351412847129,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.437351412847129,"endHours":9.437351412847129,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.437351412847129,"endHours":10.437351412847129,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.437351412847129,"endHours":11.437351412847129,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.437351412847129,"endHours":12.437351412847129,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.437351412847129,"endHours":13.437351412847129,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.437351412847129,"endHours":14.437351412847129,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.437351412847129,"endHours":15.437351412847129,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.437351412847129,"endHours":16.43735141284713,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.43735141284713,"endHours":17.43735141284713,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.43735141284713,"endHours":18.43735141284713,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.43735141284713,"endHours":19.43735141284713,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.43735141284713,"endHours":20.43735141284713,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.43735141284713,"endHours":21.43735141284713,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.43735141284713,"endHours":22.43735141284713,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.43735141284713,"endHours":23.43735141284713,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.43735141284713,"endHours":24.43735141284713,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.43735141284713,"endHours":25.43735141284713,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.43735141284713,"endHours":26.43735141284713,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.43735141284713,"endHours":27.43735141284713,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.43735141284713,"endHours":28.43735141284713,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.43735141284713,"endHours":29.43735141284713,"planetary_lord":"Venus"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.430087665801402,"eotMinutes":-3.0500109105302213,"ayanamsa":25.3705}},"calendars":{"vikram_samvat":2165,"vikram_samvatsara":"Vṛṣa","saka_samvat":2030,"saka_samvatsara":"Vibhava","bengali_samvat":1515,"malayalam_era":1284,"nanakshahi_year":639,"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":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturdaśī · Vikram 2165 Vṛṣa · Śaka 2030 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 20, 2108 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 20, 2108 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:26, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2108-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2108-08-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2108-08-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2108-08-20","x-default":"https://vidhyamitra.com/city/ranchi/2108-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:45:37.729Z","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":"2026-06-02T12:45:37.729Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:45:37.729Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}