{"id":"vidhyamitra:city-day:ranchi:2157-08-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2157-08-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-08-06","date_display":"August 6, 2157 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":2157,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509105.770833,"kali_year":5259,"ahargana":1920640.2708,"sun":{"sidereal_longitude":106.9657,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":118.2968,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.3311,"elapsed_within_tithi_degrees":11.3311},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.2968,"elapsed_within_degrees":11.6301},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.2625},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2157,"month":8,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509105.770833,"ahargana":1920640.2708,"kali_year":5259,"ayanamsa_lahiri":26.0545,"grahas":{"sun":{"sidereal_longitude":107.89986599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":116.93296600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-0.2401},"mars":{"sidereal_longitude":199.415166,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":89.11676599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":113.46396600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":147.42506600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":152.934666,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.2357,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.2357,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509105.770833,"kali_year":5259,"ahargana":1920640.2708,"sun":{"sidereal_longitude":106.9657,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":118.2968,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.3311,"elapsed_within_tithi_degrees":11.3311},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.2968,"elapsed_within_degrees":11.6301},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.2625},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.24,"elongation":11.331},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.24,"opposition_distance":168.669}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"05:21","sunsetLocal":"18:28","solarNoonLocal":"11:54","dayLengthHours":13.115483466561688,"dayLengthDisplay":"13 Hours 06 Mins 56 Secs","nightLengthDisplay":"10 Hours 53 Mins 04 Secs","moonriseLocal":"06:03","moonsetLocal":"18:58","rahuKala":{"name":"Rāhu Kāla","start":"08:38","end":"10:16","startHours":8.627027885510003,"endHours":10.266463318830215,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:33","end":"15:11","startHours":13.545334185470637,"endHours":15.184769618790849,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:21","end":"06:59","startHours":5.348157018869581,"endHours":6.9875924521897925,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.408436494400641,"endHours":8.845619276619365,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:15","startHours":5.894635496642985,"endHours":6.2443817224179625,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.468715969931703,"endHours":12.34308153436915,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:28","startHours":3.5994258899946896,"endHours":4.473791454432135,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:21","startHours":4.255200063322774,"endHours":5.348157018869581,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:58","startHours":14.091812663244038,"endHours":14.966178227681484,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.26364048543127,"endHours":18.66364048543127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"19:01","startHours":18.46364048543127,"endHours":19.010118963204675,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.21364048543127,"endHours":19.96364048543127,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.468715969931704,"endHours":24.34308153436915,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:21","end":"06:59","startHours":5.348157018869581,"endHours":6.9875924521897925,"quality":"inauspicious"},{"name":"Śubha","start":"06:59","end":"08:38","startHours":6.9875924521897925,"endHours":8.627027885510003,"quality":"auspicious"},{"name":"Roga","start":"08:38","end":"10:16","startHours":8.627027885510003,"endHours":10.266463318830215,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:54","startHours":10.266463318830215,"endHours":11.905898752150424,"quality":"inauspicious"},{"name":"Chala","start":"11:54","end":"13:33","startHours":11.905898752150424,"endHours":13.545334185470637,"quality":"neutral"},{"name":"Labha","start":"13:33","end":"15:11","startHours":13.545334185470637,"endHours":15.184769618790849,"quality":"auspicious"},{"name":"Amṛta","start":"15:11","end":"16:49","startHours":15.184769618790849,"endHours":16.824205052111058,"quality":"auspicious"},{"name":"Kāla","start":"16:49","end":"18:28","startHours":16.824205052111058,"endHours":18.46364048543127,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:28","end":"19:49","startHours":18.46364048543127,"endHours":19.824205052111058,"quality":"auspicious"},{"name":"Amṛta","start":"19:49","end":"21:11","startHours":19.824205052111058,"endHours":21.18476961879085,"quality":"auspicious"},{"name":"Kāla","start":"21:11","end":"22:33","startHours":21.18476961879085,"endHours":22.545334185470637,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"23:54","startHours":22.545334185470637,"endHours":23.905898752150428,"quality":"auspicious"},{"name":"Roga","start":"23:54","end":"01:16","startHours":23.905898752150428,"endHours":25.266463318830215,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:38","startHours":25.266463318830215,"endHours":26.627027885510003,"quality":"inauspicious"},{"name":"Chala","start":"02:38","end":"03:59","startHours":26.627027885510003,"endHours":27.987592452189794,"quality":"neutral"},{"name":"Labha","start":"03:59","end":"05:21","startHours":27.987592452189794,"endHours":29.348157018869582,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.348157018869581,"endHours":6.348157018869581,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.348157018869581,"endHours":7.348157018869581,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.348157018869581,"endHours":8.348157018869582,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.348157018869582,"endHours":9.348157018869582,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.348157018869582,"endHours":10.348157018869582,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.348157018869582,"endHours":11.348157018869582,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.348157018869582,"endHours":12.348157018869582,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.348157018869582,"endHours":13.348157018869582,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.348157018869582,"endHours":14.348157018869582,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.348157018869582,"endHours":15.348157018869582,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.348157018869582,"endHours":16.348157018869582,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.348157018869582,"endHours":17.348157018869582,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.348157018869582,"endHours":18.348157018869582,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.348157018869582,"endHours":19.348157018869582,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.348157018869582,"endHours":20.348157018869582,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.348157018869582,"endHours":21.348157018869582,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.348157018869582,"endHours":22.348157018869582,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.348157018869582,"endHours":23.348157018869582,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.348157018869582,"endHours":24.348157018869582,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.348157018869582,"endHours":25.348157018869582,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.348157018869582,"endHours":26.348157018869582,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.348157018869582,"endHours":27.348157018869582,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.348157018869582,"endHours":28.348157018869582,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.348157018869582,"endHours":29.348157018869582,"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","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","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":16.638051653298422,"eotMinutes":-5.592325129025582,"ayanamsa":26.0545}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"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 August 6, 2157 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 6, 2157 CE for Ranchi, Jharkhand: Śukla Pratipada, sūryodaya 05:21, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2157-08-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2157-08-06","sa":"https://sa.vidhyamitra.com/city/ranchi/2157-08-06","hi":"https://hi.vidhyamitra.com/city/ranchi/2157-08-06","x-default":"https://vidhyamitra.com/city/ranchi/2157-08-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:52:18.399Z","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":"2026-05-31T02:52:18.399Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:52:18.399Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}