{"id":"vidhyamitra:city-day:ranchi:2160-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2160-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2160-07-15","date_display":"July 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":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510179.770833,"kali_year":5262,"ahargana":1921714.2708,"sun":{"sidereal_longitude":86.3035,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":227.8217,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.5182,"elapsed_within_tithi_degrees":9.5182},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.8217,"elapsed_within_degrees":1.155},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.1253},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2160,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510179.770833,"ahargana":1921714.2708,"kali_year":5262,"ayanamsa_lahiri":26.0956,"grahas":{"sun":{"sidereal_longitude":87.10643100000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":229.614731,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-0.8199},"mars":{"sidereal_longitude":95.03713099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":79.62453099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":187.272831,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":105.900531,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":186.248831,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":238.33,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":58.33,"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":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510179.770833,"kali_year":5262,"ahargana":1921714.2708,"sun":{"sidereal_longitude":86.3035,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":227.8217,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.5182,"elapsed_within_tithi_degrees":9.5182},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.8217,"elapsed_within_degrees":1.155},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.1253},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.82,"elongation":141.518},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.82,"opposition_distance":38.482}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":-1.24,"elongation":0.972}]},"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":"05:11","sunsetLocal":"18:37","solarNoonLocal":"11:54","dayLengthHours":13.433256901669006,"dayLengthDisplay":"13 Hours 26 Mins 00 Secs","nightLengthDisplay":"10 Hours 34 Mins 00 Secs","moonriseLocal":"16:03","moonsetLocal":"02:46","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:57","startHours":15.264067743856836,"endHours":16.94322485656546,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:33","end":"10:14","startHours":8.547439293022332,"endHours":10.226596405730959,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:35","startHours":11.905753518439585,"endHours":13.58491063114821,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:19","end":"08:46","startHours":8.323551677994516,"endHours":8.771326908050149,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:06","startHours":5.748844105174623,"endHours":6.10706428921913,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:21","startHours":11.457978288383952,"endHours":12.353528748495219,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:18","startHours":3.3980241473825474,"endHours":4.293574607493814,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:04","end":"05:11","startHours":4.069686992465997,"endHours":5.189125067605081,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.144629668717752,"endHours":15.040180128829018,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.422381969274088,"endHours":18.822381969274087,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:11","startHours":18.622381969274088,"endHours":19.18210100684363,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.372381969274088,"endHours":20.122381969274088,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:21","startHours":23.457978288383952,"endHours":24.35352874849522,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:11","end":"06:52","startHours":5.189125067605081,"endHours":6.868282180313707,"quality":"inauspicious"},{"name":"Udveg","start":"06:52","end":"08:33","startHours":6.868282180313707,"endHours":8.547439293022332,"quality":"inauspicious"},{"name":"Chala","start":"08:33","end":"10:14","startHours":8.547439293022332,"endHours":10.226596405730959,"quality":"neutral"},{"name":"Labha","start":"10:14","end":"11:54","startHours":10.226596405730959,"endHours":11.905753518439585,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:35","startHours":11.905753518439585,"endHours":13.58491063114821,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"15:16","startHours":13.58491063114821,"endHours":15.264067743856836,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:57","startHours":15.264067743856836,"endHours":16.94322485656546,"quality":"auspicious"},{"name":"Roga","start":"16:57","end":"18:37","startHours":16.94322485656546,"endHours":18.622381969274088,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:37","end":"19:57","startHours":18.622381969274088,"endHours":19.94322485656546,"quality":"inauspicious"},{"name":"Śubha","start":"19:57","end":"21:16","startHours":19.94322485656546,"endHours":21.264067743856835,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:35","startHours":21.264067743856835,"endHours":22.58491063114821,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"23:54","startHours":22.58491063114821,"endHours":23.905753518439585,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:14","startHours":23.905753518439585,"endHours":25.22659640573096,"quality":"neutral"},{"name":"Labha","start":"01:14","end":"02:33","startHours":25.22659640573096,"endHours":26.547439293022332,"quality":"auspicious"},{"name":"Amṛta","start":"02:33","end":"03:52","startHours":26.547439293022332,"endHours":27.868282180313706,"quality":"auspicious"},{"name":"Kāla","start":"03:52","end":"05:11","startHours":27.868282180313706,"endHours":29.189125067605083,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.189125067605081,"endHours":6.189125067605081,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.189125067605081,"endHours":7.189125067605081,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.189125067605081,"endHours":8.189125067605081,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.189125067605081,"endHours":9.189125067605081,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.189125067605081,"endHours":10.189125067605081,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.189125067605081,"endHours":11.189125067605081,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.189125067605081,"endHours":12.189125067605081,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.189125067605081,"endHours":13.189125067605081,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.189125067605081,"endHours":14.189125067605081,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.189125067605081,"endHours":15.189125067605081,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.189125067605081,"endHours":16.189125067605083,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.189125067605083,"endHours":17.189125067605083,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.189125067605083,"endHours":18.189125067605083,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.189125067605083,"endHours":19.189125067605083,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.189125067605083,"endHours":20.189125067605083,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.189125067605083,"endHours":21.189125067605083,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.189125067605083,"endHours":22.189125067605083,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.189125067605083,"endHours":23.189125067605083,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.189125067605083,"endHours":24.189125067605083,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.189125067605083,"endHours":25.189125067605083,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.189125067605083,"endHours":26.189125067605083,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.189125067605083,"endHours":27.189125067605083,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.189125067605083,"endHours":28.189125067605083,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.189125067605083,"endHours":29.189125067605083,"planetary_lord":"Saturn"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.4423213566441,"eotMinutes":-5.583611106375076,"ayanamsa":26.0956}},"calendars":{"vikram_samvat":2217,"vikram_samvatsara":"Śrīmukha","saka_samvat":2082,"saka_samvatsara":"Raudra","bengali_samvat":1567,"malayalam_era":1336,"nanakshahi_year":691,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvādaśī · Vikram 2217 Śrīmukha · Śaka 2082 Raudra"},"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 July 15, 2160 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 15, 2160 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 05:11, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2160-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2160-07-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2160-07-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2160-07-15","x-default":"https://vidhyamitra.com/city/ranchi/2160-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T12:02:53.182Z","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":"2026-06-01T12:02:53.182Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T12:02:53.182Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}