{"id":"vidhyamitra:city-day:ranchi:2157-07-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2157-07-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-07-26","date_display":"July 26, 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":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509094.770833,"kali_year":5259,"ahargana":1920629.2708,"sun":{"sidereal_longitude":96.5161,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.5478,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.0317,"elapsed_within_tithi_degrees":0.0317},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.5478,"elapsed_within_degrees":4.5478},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.0638},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2157,"month":7,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509094.770833,"ahargana":1920629.2708,"kali_year":5259,"ayanamsa_lahiri":26.0541,"grahas":{"sun":{"sidereal_longitude":97.382586,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":327.13848600000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.1613},"mars":{"sidereal_longitude":194.20948599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":92.29958599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":111.082786,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":134.83738600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":151.91808600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.8185,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.8185,"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":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509094.770833,"kali_year":5259,"ahargana":1920629.2708,"sun":{"sidereal_longitude":96.5161,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.5478,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.0317,"elapsed_within_tithi_degrees":0.0317},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.5478,"elapsed_within_degrees":4.5478},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.0638},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.161,"elongation":131.968},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.161,"opposition_distance":48.032}},"eclipse_window_40days":[{"offset_days":10,"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":"05:16","sunsetLocal":"18:34","solarNoonLocal":"11:55","dayLengthHours":13.294485956727057,"dayLengthDisplay":"13 Hours 17 Mins 40 Secs","nightLengthDisplay":"10 Hours 42 Mins 20 Secs","moonriseLocal":"21:16","moonsetLocal":"09:12","rahuKala":{"name":"Rāhu Kāla","start":"15:14","end":"16:54","startHours":15.23940234824244,"endHours":16.901213092833324,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:36","end":"10:15","startHours":8.592159369878912,"endHours":10.253970114469794,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:35","startHours":11.915780859060675,"endHours":13.577591603651557,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:22","end":"08:49","startHours":8.37058460393346,"endHours":8.813734135824362,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:11","startHours":5.822474795560775,"endHours":6.176994421073497,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.472631327169774,"endHours":12.358930390951576,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:23","startHours":3.49593975313354,"endHours":4.3822388169153434,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:16","startHours":4.160664050969893,"endHours":5.2685378806971475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.131528518515186,"endHours":15.01782758229699,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.363023837424205,"endHours":18.763023837424203,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:07","startHours":18.563023837424204,"endHours":19.11696075228783,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.313023837424204,"endHours":20.063023837424204,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.472631327169772,"endHours":24.358930390951578,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:16","end":"06:56","startHours":5.2685378806971475,"endHours":6.93034862528803,"quality":"inauspicious"},{"name":"Udveg","start":"06:56","end":"08:36","startHours":6.93034862528803,"endHours":8.592159369878912,"quality":"inauspicious"},{"name":"Chala","start":"08:36","end":"10:15","startHours":8.592159369878912,"endHours":10.253970114469794,"quality":"neutral"},{"name":"Labha","start":"10:15","end":"11:55","startHours":10.253970114469794,"endHours":11.915780859060675,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:35","startHours":11.915780859060675,"endHours":13.577591603651557,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"15:14","startHours":13.577591603651557,"endHours":15.23940234824244,"quality":"inauspicious"},{"name":"Śubha","start":"15:14","end":"16:54","startHours":15.23940234824244,"endHours":16.901213092833324,"quality":"auspicious"},{"name":"Roga","start":"16:54","end":"18:34","startHours":16.901213092833324,"endHours":18.563023837424204,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:34","end":"19:54","startHours":18.563023837424204,"endHours":19.901213092833324,"quality":"inauspicious"},{"name":"Śubha","start":"19:54","end":"21:14","startHours":19.901213092833324,"endHours":21.23940234824244,"quality":"auspicious"},{"name":"Roga","start":"21:14","end":"22:35","startHours":21.23940234824244,"endHours":22.57759160365156,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"23:55","startHours":22.57759160365156,"endHours":23.915780859060675,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:15","startHours":23.915780859060675,"endHours":25.253970114469794,"quality":"neutral"},{"name":"Labha","start":"01:15","end":"02:36","startHours":25.253970114469794,"endHours":26.592159369878914,"quality":"auspicious"},{"name":"Amṛta","start":"02:36","end":"03:56","startHours":26.592159369878914,"endHours":27.93034862528803,"quality":"auspicious"},{"name":"Kāla","start":"03:56","end":"05:16","startHours":27.93034862528803,"endHours":29.268537880697146,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.2685378806971475,"endHours":6.2685378806971475,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.2685378806971475,"endHours":7.2685378806971475,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.2685378806971475,"endHours":8.268537880697147,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.268537880697147,"endHours":9.268537880697147,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.268537880697147,"endHours":10.268537880697147,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.268537880697147,"endHours":11.268537880697147,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.268537880697147,"endHours":12.268537880697147,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.268537880697147,"endHours":13.268537880697147,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.268537880697147,"endHours":14.268537880697147,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.268537880697147,"endHours":15.268537880697147,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.268537880697147,"endHours":16.268537880697146,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.268537880697146,"endHours":17.268537880697146,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.268537880697146,"endHours":18.268537880697146,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.268537880697146,"endHours":19.268537880697146,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.268537880697146,"endHours":20.268537880697146,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.268537880697146,"endHours":21.268537880697146,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.268537880697146,"endHours":22.268537880697146,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.268537880697146,"endHours":23.268537880697146,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.268537880697146,"endHours":24.268537880697146,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.268537880697146,"endHours":25.268537880697146,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.268537880697146,"endHours":26.268537880697146,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.268537880697146,"endHours":27.268537880697146,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.268537880697146,"endHours":28.268537880697146,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.268537880697146,"endHours":29.268537880697146,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","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":19.384493065716242,"eotMinutes":-6.185251543640582,"ayanamsa":26.0541}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Pañcamī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"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":[]},"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 26, 2157 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 26, 2157 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:16, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2157-07-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2157-07-26","sa":"https://sa.vidhyamitra.com/city/ranchi/2157-07-26","hi":"https://hi.vidhyamitra.com/city/ranchi/2157-07-26","x-default":"https://vidhyamitra.com/city/ranchi/2157-07-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:48:19.963Z","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":"2026-05-31T20:48:19.963Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:48:19.963Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}