{"id":"vidhyamitra:city-day:ranchi:2181-07-25:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2181-07-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-07-25","date_display":"July 25, 2181 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":2181,"month":7,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517859.770833,"kali_year":5283,"ahargana":1929394.2708,"sun":{"sidereal_longitude":95.3682,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":259.4397,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.0714,"elapsed_within_tithi_degrees":8.0714},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.4397,"elapsed_within_degrees":6.1063},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.8079},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2181,"month":7,"day":25,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517859.770833,"ahargana":1929394.2708,"kali_year":5283,"ayanamsa_lahiri":26.3893,"grahas":{"sun":{"sidereal_longitude":96.28549900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":258.81599900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":4.1727},"mars":{"sidereal_longitude":132.576099,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":117.217399,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":117.71449899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":134.475299,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":87.239599,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":191.4066,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.4066,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"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":2181,"month":7,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517859.770833,"kali_year":5283,"ahargana":1929394.2708,"sun":{"sidereal_longitude":95.3682,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":259.4397,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.0714,"elapsed_within_tithi_degrees":8.0714},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.4397,"elapsed_within_degrees":6.1063},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.8079},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.173,"elongation":164.071},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.173,"opposition_distance":15.929}},"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":13.306142664631494,"dayLengthDisplay":"13 Hours 18 Mins 22 Secs","nightLengthDisplay":"10 Hours 41 Mins 38 Secs","moonriseLocal":"17:24","moonsetLocal":"04:07","rahuKala":{"name":"Rāhu Kāla","start":"11:55","end":"13:35","startHours":11.915654185540838,"endHours":13.578922018619775,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:56","end":"08:35","startHours":6.925850686304028,"endHours":8.589118519382964,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:15","end":"11:55","startHours":10.252386352461901,"endHours":11.915654185540838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:22","end":"08:49","startHours":8.367349474972439,"endHours":8.81088756379349,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:10","startHours":5.8170054642514035,"endHours":6.171835935308243,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.472116096719787,"endHours":12.359192274361888,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:23","startHours":3.488430497940892,"endHours":4.375506675582992,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:09","end":"05:16","startHours":4.153737631172467,"endHours":5.262582853225092,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.133344629646086,"endHours":15.020420807288184,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.368725517856586,"endHours":18.768725517856584,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:07","startHours":18.568725517856585,"endHours":19.123148128882896,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.318725517856585,"endHours":20.068725517856585,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.472116096719787,"endHours":24.359192274361888,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:16","end":"06:56","startHours":5.262582853225092,"endHours":6.925850686304028,"quality":"auspicious"},{"name":"Amṛta","start":"06:56","end":"08:35","startHours":6.925850686304028,"endHours":8.589118519382964,"quality":"auspicious"},{"name":"Kāla","start":"08:35","end":"10:15","startHours":8.589118519382964,"endHours":10.252386352461901,"quality":"inauspicious"},{"name":"Śubha","start":"10:15","end":"11:55","startHours":10.252386352461901,"endHours":11.915654185540838,"quality":"auspicious"},{"name":"Roga","start":"11:55","end":"13:35","startHours":11.915654185540838,"endHours":13.578922018619775,"quality":"inauspicious"},{"name":"Udveg","start":"13:35","end":"15:15","startHours":13.578922018619775,"endHours":15.242189851698711,"quality":"inauspicious"},{"name":"Chala","start":"15:15","end":"16:54","startHours":15.242189851698711,"endHours":16.905457684777648,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:34","startHours":16.905457684777648,"endHours":18.568725517856585,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:34","end":"19:54","startHours":18.568725517856585,"endHours":19.905457684777648,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:15","startHours":19.905457684777648,"endHours":21.24218985169871,"quality":"neutral"},{"name":"Labha","start":"21:15","end":"22:35","startHours":21.24218985169871,"endHours":22.578922018619775,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"23:55","startHours":22.578922018619775,"endHours":23.915654185540838,"quality":"auspicious"},{"name":"Kāla","start":"23:55","end":"01:15","startHours":23.915654185540838,"endHours":25.2523863524619,"quality":"inauspicious"},{"name":"Śubha","start":"01:15","end":"02:35","startHours":25.2523863524619,"endHours":26.589118519382964,"quality":"auspicious"},{"name":"Roga","start":"02:35","end":"03:56","startHours":26.589118519382964,"endHours":27.925850686304027,"quality":"inauspicious"},{"name":"Udveg","start":"03:56","end":"05:16","startHours":27.925850686304027,"endHours":29.26258285322509,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.262582853225092,"endHours":6.262582853225092,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.262582853225092,"endHours":7.262582853225092,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.262582853225092,"endHours":8.26258285322509,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.26258285322509,"endHours":9.26258285322509,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.26258285322509,"endHours":10.26258285322509,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.26258285322509,"endHours":11.26258285322509,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.26258285322509,"endHours":12.26258285322509,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.26258285322509,"endHours":13.26258285322509,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.26258285322509,"endHours":14.26258285322509,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.26258285322509,"endHours":15.26258285322509,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.26258285322509,"endHours":16.26258285322509,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.26258285322509,"endHours":17.26258285322509,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.26258285322509,"endHours":18.26258285322509,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.26258285322509,"endHours":19.26258285322509,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.26258285322509,"endHours":20.26258285322509,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.26258285322509,"endHours":21.26258285322509,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.26258285322509,"endHours":22.26258285322509,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.26258285322509,"endHours":23.26258285322509,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.26258285322509,"endHours":24.26258285322509,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.26258285322509,"endHours":25.26258285322509,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.26258285322509,"endHours":26.26258285322509,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.26258285322509,"endHours":27.26258285322509,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.26258285322509,"endHours":28.26258285322509,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.26258285322509,"endHours":29.26258285322509,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","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":19.559806831991473,"eotMinutes":-6.177651132450234,"ayanamsa":26.3893}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"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":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 25, 2181 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 25, 2181 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:16, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2181-07-25","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2181-07-25","sa":"https://sa.vidhyamitra.com/city/ranchi/2181-07-25","hi":"https://hi.vidhyamitra.com/city/ranchi/2181-07-25","x-default":"https://vidhyamitra.com/city/ranchi/2181-07-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T23:47:24.037Z","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":"2026-06-03T23:47:24.037Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T23:47:24.037Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}