{"id":"vidhyamitra:city-day:ranchi:2145-07-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2145-07-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2145-07-26","date_display":"July 26, 2145 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":2145,"month":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504711.770833,"kali_year":5247,"ahargana":1916246.2708,"sun":{"sidereal_longitude":96.6157,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.1178,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.5021,"elapsed_within_tithi_degrees":3.5021},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.1178,"elapsed_within_degrees":12.1178},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7336},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2145,"month":7,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2504711.770833,"ahargana":1916246.2708,"kali_year":5247,"ayanamsa_lahiri":25.8864,"grahas":{"sun":{"sidereal_longitude":97.45434899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":171.06574899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":0.3188},"mars":{"sidereal_longitude":106.95054900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":75.43284900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":108.57324900000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":63.33304900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":4.922449000000029,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":168.0509,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":348.0509,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":2145,"month":7,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504711.770833,"kali_year":5247,"ahargana":1916246.2708,"sun":{"sidereal_longitude":96.6157,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.1178,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.5021,"elapsed_within_tithi_degrees":3.5021},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.1178,"elapsed_within_degrees":12.1178},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7336},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.319,"elongation":75.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.319,"opposition_distance":104.498}},"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":"05:16","sunsetLocal":"18:34","solarNoonLocal":"11:55","dayLengthHours":13.295964534750397,"dayLengthDisplay":"13 Hours 17 Mins 45 Secs","nightLengthDisplay":"10 Hours 42 Mins 15 Secs","moonriseLocal":"10:58","moonsetLocal":"22:40","rahuKala":{"name":"Rāhu Kāla","start":"06:56","end":"08:36","startHours":6.929794158529277,"endHours":8.591789725373076,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:15","end":"11:55","startHours":10.253785292216875,"endHours":11.915780859060675,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"15:14","startHours":13.577776425904474,"endHours":15.239771992748274,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:22","end":"08:49","startHours":8.370190316460569,"endHours":8.813389134285583,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:11","startHours":5.821797113966744,"endHours":6.1763561682267545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.472582041235661,"endHours":12.358979676885689,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:23","startHours":3.4950033203854245,"endHours":4.381400956035451,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:16","startHours":4.159801547122944,"endHours":5.2677985916854775,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.13177494818574,"endHours":15.018172583835765,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.363763126435874,"endHours":18.763763126435872,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:07","startHours":18.563763126435873,"endHours":19.11776164871714,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.313763126435873,"endHours":20.063763126435873,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.47258204123566,"endHours":24.35897967688569,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:16","end":"06:56","startHours":5.2677985916854775,"endHours":6.929794158529277,"quality":"auspicious"},{"name":"Kāla","start":"06:56","end":"08:36","startHours":6.929794158529277,"endHours":8.591789725373076,"quality":"inauspicious"},{"name":"Śubha","start":"08:36","end":"10:15","startHours":8.591789725373076,"endHours":10.253785292216875,"quality":"auspicious"},{"name":"Roga","start":"10:15","end":"11:55","startHours":10.253785292216875,"endHours":11.915780859060675,"quality":"inauspicious"},{"name":"Udveg","start":"11:55","end":"13:35","startHours":11.915780859060675,"endHours":13.577776425904474,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"15:14","startHours":13.577776425904474,"endHours":15.239771992748274,"quality":"neutral"},{"name":"Labha","start":"15:14","end":"16:54","startHours":15.239771992748274,"endHours":16.901767559592074,"quality":"auspicious"},{"name":"Amṛta","start":"16:54","end":"18:34","startHours":16.901767559592074,"endHours":18.563763126435873,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:34","end":"19:54","startHours":18.563763126435873,"endHours":19.901767559592074,"quality":"neutral"},{"name":"Labha","start":"19:54","end":"21:14","startHours":19.901767559592074,"endHours":21.239771992748274,"quality":"auspicious"},{"name":"Amṛta","start":"21:14","end":"22:35","startHours":21.239771992748274,"endHours":22.577776425904474,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"23:55","startHours":22.577776425904474,"endHours":23.915780859060675,"quality":"inauspicious"},{"name":"Śubha","start":"23:55","end":"01:15","startHours":23.915780859060675,"endHours":25.253785292216875,"quality":"auspicious"},{"name":"Roga","start":"01:15","end":"02:36","startHours":25.253785292216875,"endHours":26.591789725373076,"quality":"inauspicious"},{"name":"Udveg","start":"02:36","end":"03:56","startHours":26.591789725373076,"endHours":27.929794158529276,"quality":"inauspicious"},{"name":"Chala","start":"03:56","end":"05:16","startHours":27.929794158529276,"endHours":29.267798591685477,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.2677985916854775,"endHours":6.2677985916854775,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.2677985916854775,"endHours":7.2677985916854775,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.2677985916854775,"endHours":8.267798591685477,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.267798591685477,"endHours":9.267798591685477,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.267798591685477,"endHours":10.267798591685477,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.267798591685477,"endHours":11.267798591685477,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.267798591685477,"endHours":12.267798591685477,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.267798591685477,"endHours":13.267798591685477,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.267798591685477,"endHours":14.267798591685477,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.267798591685477,"endHours":15.267798591685477,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.267798591685477,"endHours":16.267798591685477,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.267798591685477,"endHours":17.267798591685477,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.267798591685477,"endHours":18.267798591685477,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.267798591685477,"endHours":19.267798591685477,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.267798591685477,"endHours":20.267798591685477,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.267798591685477,"endHours":21.267798591685477,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.267798591685477,"endHours":22.267798591685477,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.267798591685477,"endHours":23.267798591685477,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.267798591685477,"endHours":24.267798591685477,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.267798591685477,"endHours":25.267798591685477,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.267798591685477,"endHours":26.267798591685477,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.267798591685477,"endHours":27.267798591685477,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.267798591685477,"endHours":28.267798591685477,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.267798591685477,"endHours":29.267798591685477,"planetary_lord":"Venus"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":19.406755037223167,"eotMinutes":-6.185251543640582,"ayanamsa":25.8864}},"calendars":{"vikram_samvat":2202,"vikram_samvatsara":"Kālayukta","saka_samvat":2067,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1552,"malayalam_era":1321,"nanakshahi_year":676,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Śukla 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) Śukla Saptamī · Vikram 2202 Kālayukta · Śaka 2067 Viśvāvasu"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2145 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 26, 2145 CE for Ranchi, Jharkhand: Śukla Saptamī, sūryodaya 05:16, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2145-07-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2145-07-26","sa":"https://sa.vidhyamitra.com/city/ranchi/2145-07-26","hi":"https://hi.vidhyamitra.com/city/ranchi/2145-07-26","x-default":"https://vidhyamitra.com/city/ranchi/2145-07-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T16:53:28.078Z","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":"2026-06-01T16:53:28.078Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T16:53:28.078Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}