{"id":"vidhyamitra:city-day:ranchi:2126-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2126-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-08-15","date_display":"August 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497791.770833,"kali_year":5228,"ahargana":1909326.2708,"sun":{"sidereal_longitude":115.5636,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":69.1045,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":313.5409,"elapsed_within_tithi_degrees":1.5409},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.1045,"elapsed_within_degrees":2.4378},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.6681},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":2126,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497791.770833,"ahargana":1909326.2708,"kali_year":5228,"ayanamsa_lahiri":25.6218,"grahas":{"sun":{"sidereal_longitude":116.47224399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":69.066644,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-4.3339},"mars":{"sidereal_longitude":100.46164399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":123.23484400000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":237.25354400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":104.13104399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":136.746844,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":174.7058,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":354.7058,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497791.770833,"kali_year":5228,"ahargana":1909326.2708,"sun":{"sidereal_longitude":115.5636,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":69.1045,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":313.5409,"elapsed_within_tithi_degrees":1.5409},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.1045,"elapsed_within_degrees":2.4378},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.6681},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.334,"elongation":46.459},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.334,"opposition_distance":133.541}},"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":"05:24","sunsetLocal":"18:22","solarNoonLocal":"11:53","dayLengthHours":12.958084262908402,"dayLengthDisplay":"12 Hours 57 Mins 29 Secs","nightLengthDisplay":"11 Hours 02 Mins 31 Secs","moonriseLocal":"01:58","moonsetLocal":"15:29","rahuKala":{"name":"Rāhu Kāla","start":"13:30","end":"15:07","startHours":13.50206566164069,"endHours":15.12182619450424,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:24","end":"07:01","startHours":5.403262997322939,"endHours":7.023023530186489,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:16","startHours":8.642784063050039,"endHours":10.262544595913589,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.426815992001565,"endHours":8.858752134098513,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:17","startHours":5.943183174944123,"endHours":6.28873208862168,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.450368986680195,"endHours":12.314241270874087,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:32","startHours":3.6755184289351517,"endHours":4.539390713129045,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:24","startHours":4.323422642080572,"endHours":5.403262997322939,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:54","startHours":14.041985839261875,"endHours":14.905858123455769,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.16134726023134,"endHours":18.56134726023134,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:54","startHours":18.36134726023134,"endHours":18.901267437852525,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.11134726023134,"endHours":19.86134726023134,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.450368986680193,"endHours":24.31424127087409,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:24","end":"07:01","startHours":5.403262997322939,"endHours":7.023023530186489,"quality":"auspicious"},{"name":"Roga","start":"07:01","end":"08:39","startHours":7.023023530186489,"endHours":8.642784063050039,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:16","startHours":8.642784063050039,"endHours":10.262544595913589,"quality":"inauspicious"},{"name":"Chala","start":"10:16","end":"11:53","startHours":10.262544595913589,"endHours":11.88230512877714,"quality":"neutral"},{"name":"Labha","start":"11:53","end":"13:30","startHours":11.88230512877714,"endHours":13.50206566164069,"quality":"auspicious"},{"name":"Amṛta","start":"13:30","end":"15:07","startHours":13.50206566164069,"endHours":15.12182619450424,"quality":"auspicious"},{"name":"Kāla","start":"15:07","end":"16:44","startHours":15.12182619450424,"endHours":16.74158672736779,"quality":"inauspicious"},{"name":"Śubha","start":"16:44","end":"18:22","startHours":16.74158672736779,"endHours":18.36134726023134,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:22","end":"19:44","startHours":18.36134726023134,"endHours":19.74158672736779,"quality":"auspicious"},{"name":"Kāla","start":"19:44","end":"21:07","startHours":19.74158672736779,"endHours":21.12182619450424,"quality":"inauspicious"},{"name":"Śubha","start":"21:07","end":"22:30","startHours":21.12182619450424,"endHours":22.50206566164069,"quality":"auspicious"},{"name":"Roga","start":"22:30","end":"23:53","startHours":22.50206566164069,"endHours":23.88230512877714,"quality":"inauspicious"},{"name":"Udveg","start":"23:53","end":"01:16","startHours":23.88230512877714,"endHours":25.26254459591359,"quality":"inauspicious"},{"name":"Chala","start":"01:16","end":"02:39","startHours":25.26254459591359,"endHours":26.642784063050037,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:01","startHours":26.642784063050037,"endHours":28.02302353018649,"quality":"auspicious"},{"name":"Amṛta","start":"04:01","end":"05:24","startHours":28.02302353018649,"endHours":29.40326299732294,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.403262997322939,"endHours":6.403262997322939,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.403262997322939,"endHours":7.403262997322939,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.403262997322939,"endHours":8.403262997322939,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.403262997322939,"endHours":9.403262997322939,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.403262997322939,"endHours":10.403262997322939,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.403262997322939,"endHours":11.403262997322939,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.403262997322939,"endHours":12.403262997322939,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.403262997322939,"endHours":13.403262997322939,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.403262997322939,"endHours":14.403262997322939,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.403262997322939,"endHours":15.403262997322939,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.403262997322939,"endHours":16.40326299732294,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40326299732294,"endHours":17.40326299732294,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40326299732294,"endHours":18.40326299732294,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40326299732294,"endHours":19.40326299732294,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40326299732294,"endHours":20.40326299732294,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40326299732294,"endHours":21.40326299732294,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40326299732294,"endHours":22.40326299732294,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40326299732294,"endHours":23.40326299732294,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40326299732294,"endHours":24.40326299732294,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40326299732294,"endHours":25.40326299732294,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40326299732294,"endHours":26.40326299732294,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40326299732294,"endHours":27.40326299732294,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40326299732294,"endHours":28.40326299732294,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40326299732294,"endHours":29.40326299732294,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.143647826522312,"eotMinutes":-4.176707726628523,"ayanamsa":25.6218}},"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 Dvādaśī · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"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 August 15, 2126 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 15, 2126 CE for Ranchi, Jharkhand: Kṛṣṇa Dvādaśī, sūryodaya 05:24, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2126-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2126-08-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2126-08-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2126-08-15","x-default":"https://vidhyamitra.com/city/ranchi/2126-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T05:53:41.125Z","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":"2026-06-03T05:53:41.125Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T05:53:41.125Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}