{"id":"vidhyamitra:city-day:ranchi:2126-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2126-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-08-13","date_display":"August 13, 2126 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":2126,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497789.770833,"kali_year":5228,"ahargana":1909324.2708,"sun":{"sidereal_longitude":113.6549,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":44.5091,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.8542,"elapsed_within_tithi_degrees":2.8542},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.5091,"elapsed_within_degrees":4.5091},"yoga":{"number":12,"name":"Dhruva","sum_longitude":158.164},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2126,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497789.770833,"ahargana":1909324.2708,"kali_year":5228,"ayanamsa_lahiri":25.6217,"grahas":{"sun":{"sidereal_longitude":114.55292000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":43.261720000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-3.4304},"mars":{"sidereal_longitude":99.17362000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":119.40052000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":237.29722000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":101.66962000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":136.50712,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":174.8118,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":354.8118,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2126,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497789.770833,"kali_year":5228,"ahargana":1909324.2708,"sun":{"sidereal_longitude":113.6549,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":44.5091,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.8542,"elapsed_within_tithi_degrees":2.8542},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.5091,"elapsed_within_degrees":4.5091},"yoga":{"number":12,"name":"Dhruva","sum_longitude":158.164},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.43,"elongation":69.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.43,"opposition_distance":110.854}},"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":"05:23","sunsetLocal":"18:23","solarNoonLocal":"11:53","dayLengthHours":12.996409191892495,"dayLengthDisplay":"12 Hours 59 Mins 47 Secs","nightLengthDisplay":"11 Hours 00 Mins 13 Secs","moonriseLocal":"00:26","moonsetLocal":"13:51","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:46","startHours":15.137820976943381,"endHours":16.762372125929943,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:38","end":"10:16","startHours":8.639616380997134,"endHours":10.264167529983695,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:31","startHours":11.888718678970257,"endHours":13.513269827956819,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.42300956113226,"endHours":8.856223200862008,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:17","startHours":5.932031132686197,"endHours":6.278602044469997,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.455505039240506,"endHours":12.321932318700007,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:31","startHours":3.657659524105011,"endHours":4.5240868035645105,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:18","end":"05:23","startHours":4.307479983699636,"endHours":5.39051408302401,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:55","startHours":14.054786877619007,"endHours":14.921214157078506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.186923274916506,"endHours":18.586923274916504,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.386923274916505,"endHours":18.92844032457869,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.136923274916505,"endHours":19.886923274916505,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.455505039240506,"endHours":24.321932318700007,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:23","end":"07:01","startHours":5.39051408302401,"endHours":7.015065232010572,"quality":"inauspicious"},{"name":"Udveg","start":"07:01","end":"08:38","startHours":7.015065232010572,"endHours":8.639616380997134,"quality":"inauspicious"},{"name":"Chala","start":"08:38","end":"10:16","startHours":8.639616380997134,"endHours":10.264167529983695,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:53","startHours":10.264167529983695,"endHours":11.888718678970257,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:31","startHours":11.888718678970257,"endHours":13.513269827956819,"quality":"auspicious"},{"name":"Kāla","start":"13:31","end":"15:08","startHours":13.513269827956819,"endHours":15.137820976943381,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:46","startHours":15.137820976943381,"endHours":16.762372125929943,"quality":"auspicious"},{"name":"Roga","start":"16:46","end":"18:23","startHours":16.762372125929943,"endHours":18.386923274916505,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:46","startHours":18.386923274916505,"endHours":19.762372125929943,"quality":"inauspicious"},{"name":"Śubha","start":"19:46","end":"21:08","startHours":19.762372125929943,"endHours":21.13782097694338,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:31","startHours":21.13782097694338,"endHours":22.51326982795682,"quality":"inauspicious"},{"name":"Udveg","start":"22:31","end":"23:53","startHours":22.51326982795682,"endHours":23.888718678970257,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:16","startHours":23.888718678970257,"endHours":25.264167529983695,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:38","startHours":25.264167529983695,"endHours":26.639616380997133,"quality":"auspicious"},{"name":"Amṛta","start":"02:38","end":"04:01","startHours":26.639616380997133,"endHours":28.01506523201057,"quality":"auspicious"},{"name":"Kāla","start":"04:01","end":"05:23","startHours":28.01506523201057,"endHours":29.39051408302401,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.39051408302401,"endHours":6.39051408302401,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.39051408302401,"endHours":7.39051408302401,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.39051408302401,"endHours":8.39051408302401,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.39051408302401,"endHours":9.39051408302401,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.39051408302401,"endHours":10.39051408302401,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.39051408302401,"endHours":11.39051408302401,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.39051408302401,"endHours":12.39051408302401,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.39051408302401,"endHours":13.39051408302401,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.39051408302401,"endHours":14.39051408302401,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.39051408302401,"endHours":15.39051408302401,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.39051408302401,"endHours":16.39051408302401,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.39051408302401,"endHours":17.39051408302401,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.39051408302401,"endHours":18.39051408302401,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.39051408302401,"endHours":19.39051408302401,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.39051408302401,"endHours":20.39051408302401,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.39051408302401,"endHours":21.39051408302401,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.39051408302401,"endHours":22.39051408302401,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.39051408302401,"endHours":23.39051408302401,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.39051408302401,"endHours":24.39051408302401,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.39051408302401,"endHours":25.39051408302401,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.39051408302401,"endHours":26.39051408302401,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.39051408302401,"endHours":27.39051408302401,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.39051408302401,"endHours":28.39051408302401,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.39051408302401,"endHours":29.39051408302401,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","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":14.757452980487411,"eotMinutes":-4.561520738215509,"ayanamsa":25.6217}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Kṛṣṇa Daśamī · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 13, 2126 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 13, 2126 CE for Ranchi, Jharkhand: Kṛṣṇa Daśamī, sūryodaya 05:23, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2126-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2126-08-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2126-08-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2126-08-13","x-default":"https://vidhyamitra.com/city/ranchi/2126-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:17:32.918Z","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":"2026-06-01T19:17:32.918Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:17:32.918Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}