{"id":"vidhyamitra:city-day:ranchi:2160-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2160-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2160-08-15","date_display":"August 15, 2160 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":2160,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510210.770833,"kali_year":5262,"ahargana":1921745.2708,"sun":{"sidereal_longitude":115.7567,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":273.5299,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.7732,"elapsed_within_tithi_degrees":1.7732},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.5299,"elapsed_within_degrees":6.8632},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.2866},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2160,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510210.770833,"ahargana":1921745.2708,"kali_year":5262,"ayanamsa_lahiri":26.0967,"grahas":{"sun":{"sidereal_longitude":116.749347,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":274.69554700000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":2.6965},"mars":{"sidereal_longitude":114.84274700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":137.541647,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":189.82724699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":143.56804699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":187.43454700000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":236.6875,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":56.6875,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2160,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510210.770833,"kali_year":5262,"ahargana":1921745.2708,"sun":{"sidereal_longitude":115.7567,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":273.5299,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.7732,"elapsed_within_tithi_degrees":1.7732},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.5299,"elapsed_within_degrees":6.8632},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.2866},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.696,"elongation":157.773},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.696,"opposition_distance":22.227}},"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":"05:25","sunsetLocal":"18:21","solarNoonLocal":"11:53","dayLengthHours":12.942888427465206,"dayLengthDisplay":"12 Hours 56 Mins 34 Secs","nightLengthDisplay":"11 Hours 03 Mins 26 Secs","moonriseLocal":"16:58","moonsetLocal":"03:51","rahuKala":{"name":"Rāhu Kāla","start":"10:16","end":"11:53","startHours":10.264444075343992,"endHours":11.88230512877714,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:07","end":"16:44","startHours":15.118027235643442,"endHours":16.735888289076595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:02","end":"08:39","startHours":7.028721968477689,"endHours":8.646583021910839,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.43086821478642,"endHours":8.86229782903526,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.950147932855589,"endHours":6.295291624254661,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.4508755145283,"endHours":12.31373474302598,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:33","startHours":3.6851424580491776,"endHours":4.548001686546858,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:25","startHours":4.332286879422438,"endHours":5.410860915044538,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:54","startHours":14.039453200021342,"endHours":14.902312428519021,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.153749342509744,"endHours":18.553749342509743,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:54","startHours":18.353749342509744,"endHours":18.893036360320792,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.103749342509744,"endHours":19.853749342509744,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.4508755145283,"endHours":24.313734743025982,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:25","end":"07:02","startHours":5.410860915044538,"endHours":7.028721968477689,"quality":"neutral"},{"name":"Labha","start":"07:02","end":"08:39","startHours":7.028721968477689,"endHours":8.646583021910839,"quality":"auspicious"},{"name":"Amṛta","start":"08:39","end":"10:16","startHours":8.646583021910839,"endHours":10.264444075343992,"quality":"auspicious"},{"name":"Kāla","start":"10:16","end":"11:53","startHours":10.264444075343992,"endHours":11.88230512877714,"quality":"inauspicious"},{"name":"Śubha","start":"11:53","end":"13:30","startHours":11.88230512877714,"endHours":13.500166182210293,"quality":"auspicious"},{"name":"Roga","start":"13:30","end":"15:07","startHours":13.500166182210293,"endHours":15.118027235643442,"quality":"inauspicious"},{"name":"Udveg","start":"15:07","end":"16:44","startHours":15.118027235643442,"endHours":16.735888289076595,"quality":"inauspicious"},{"name":"Chala","start":"16:44","end":"18:21","startHours":16.735888289076595,"endHours":18.353749342509744,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:21","end":"19:44","startHours":18.353749342509744,"endHours":19.73588828907659,"quality":"inauspicious"},{"name":"Udveg","start":"19:44","end":"21:07","startHours":19.73588828907659,"endHours":21.118027235643442,"quality":"inauspicious"},{"name":"Chala","start":"21:07","end":"22:30","startHours":21.118027235643442,"endHours":22.500166182210293,"quality":"neutral"},{"name":"Labha","start":"22:30","end":"23:53","startHours":22.500166182210293,"endHours":23.88230512877714,"quality":"auspicious"},{"name":"Amṛta","start":"23:53","end":"01:16","startHours":23.88230512877714,"endHours":25.264444075343988,"quality":"auspicious"},{"name":"Kāla","start":"01:16","end":"02:39","startHours":25.264444075343988,"endHours":26.64658302191084,"quality":"inauspicious"},{"name":"Śubha","start":"02:39","end":"04:02","startHours":26.64658302191084,"endHours":28.02872196847769,"quality":"auspicious"},{"name":"Roga","start":"04:02","end":"05:25","startHours":28.02872196847769,"endHours":29.410860915044537,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.410860915044538,"endHours":6.410860915044538,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.410860915044538,"endHours":7.410860915044538,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.410860915044538,"endHours":8.410860915044537,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.410860915044537,"endHours":9.410860915044537,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.410860915044537,"endHours":10.410860915044537,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.410860915044537,"endHours":11.410860915044537,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.410860915044537,"endHours":12.410860915044537,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.410860915044537,"endHours":13.410860915044537,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.410860915044537,"endHours":14.410860915044537,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.410860915044537,"endHours":15.410860915044537,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.410860915044537,"endHours":16.410860915044537,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.410860915044537,"endHours":17.410860915044537,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.410860915044537,"endHours":18.410860915044537,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.410860915044537,"endHours":19.410860915044537,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.410860915044537,"endHours":20.410860915044537,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.410860915044537,"endHours":21.410860915044537,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.410860915044537,"endHours":22.410860915044537,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.410860915044537,"endHours":23.410860915044537,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.410860915044537,"endHours":24.410860915044537,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.410860915044537,"endHours":25.410860915044537,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.410860915044537,"endHours":26.410860915044537,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.410860915044537,"endHours":27.410860915044537,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.410860915044537,"endHours":28.410860915044537,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.410860915044537,"endHours":29.410860915044537,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","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":13.899171654846551,"eotMinutes":-4.176707726628523,"ayanamsa":26.0967}},"calendars":{"vikram_samvat":2217,"vikram_samvatsara":"Śrīmukha","saka_samvat":2082,"saka_samvatsara":"Raudra","bengali_samvat":1567,"malayalam_era":1336,"nanakshahi_year":691,"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 Caturdaśī · Vikram 2217 Śrīmukha · Śaka 2082 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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, 2160 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 15, 2160 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:25, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2160-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2160-08-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2160-08-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2160-08-15","x-default":"https://vidhyamitra.com/city/ranchi/2160-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:24:49.029Z","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":"2026-06-02T07:24:49.029Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:24:49.029Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}