{"id":"vidhyamitra:city-day:ranchi:1875-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-08-03","date_display":"August 3, 1875 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":1875,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406103.770833,"kali_year":4977,"ahargana":1817638.2708,"sun":{"sidereal_longitude":107.8881,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":128.3416,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.4534,"elapsed_within_tithi_degrees":8.4534},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.3416,"elapsed_within_degrees":8.3416},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.2297},"karana":{"half_tithi_index":3,"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":1875,"month":8,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406103.770833,"ahargana":1817638.2708,"kali_year":4977,"ayanamsa_lahiri":22.115,"grahas":{"sun":{"sidereal_longitude":108.14489900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":127.171199,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":3.1488},"mars":{"sidereal_longitude":241.48429899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":91.90349900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":183.94419900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":96.02119900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":302.7217989999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":352.7773,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.7773,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1875,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406103.770833,"kali_year":4977,"ahargana":1817638.2708,"sun":{"sidereal_longitude":107.8881,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":128.3416,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.4534,"elapsed_within_tithi_degrees":8.4534},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.3416,"elapsed_within_degrees":8.3416},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.2297},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.149,"elongation":20.453},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.149,"opposition_distance":159.547}},"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":"05:19","sunsetLocal":"18:30","solarNoonLocal":"11:55","dayLengthHours":13.18191709043534,"dayLengthDisplay":"13 Hours 10 Mins 55 Secs","nightLengthDisplay":"10 Hours 49 Mins 05 Secs","moonriseLocal":"06:48","moonsetLocal":"19:34","rahuKala":{"name":"Rāhu Kāla","start":"15:12","end":"16:51","startHours":15.206154855214722,"endHours":16.853894491519142,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:37","end":"10:16","startHours":8.615196309997053,"endHours":10.26293594630147,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:34","startHours":11.910675582605887,"endHours":13.558415218910305,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:50","startHours":8.395497691823131,"endHours":8.834894928170975,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:52","end":"06:13","startHours":5.8689635828230236,"endHours":6.2204813719012995,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.471278346258043,"endHours":12.35007281895373,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:26","startHours":3.562128091996839,"endHours":4.440922564692528,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:13","end":"05:19","startHours":4.221223946518606,"endHours":5.319717037388218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:59","startHours":14.107661764345112,"endHours":14.986456237040802,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.301634127823558,"endHours":18.701634127823556,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:03","startHours":18.501634127823557,"endHours":19.050880673258362,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.251634127823557,"endHours":20.001634127823557,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.471278346258043,"endHours":24.35007281895373,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:19","end":"06:58","startHours":5.319717037388218,"endHours":6.967456673692635,"quality":"inauspicious"},{"name":"Udveg","start":"06:58","end":"08:37","startHours":6.967456673692635,"endHours":8.615196309997053,"quality":"inauspicious"},{"name":"Chala","start":"08:37","end":"10:16","startHours":8.615196309997053,"endHours":10.26293594630147,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:55","startHours":10.26293594630147,"endHours":11.910675582605887,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:34","startHours":11.910675582605887,"endHours":13.558415218910305,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"15:12","startHours":13.558415218910305,"endHours":15.206154855214722,"quality":"inauspicious"},{"name":"Śubha","start":"15:12","end":"16:51","startHours":15.206154855214722,"endHours":16.853894491519142,"quality":"auspicious"},{"name":"Roga","start":"16:51","end":"18:30","startHours":16.853894491519142,"endHours":18.501634127823557,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:30","end":"19:51","startHours":18.501634127823557,"endHours":19.85389449151914,"quality":"inauspicious"},{"name":"Śubha","start":"19:51","end":"21:12","startHours":19.85389449151914,"endHours":21.206154855214724,"quality":"auspicious"},{"name":"Roga","start":"21:12","end":"22:34","startHours":21.206154855214724,"endHours":22.558415218910305,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"23:55","startHours":22.558415218910305,"endHours":23.910675582605887,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:16","startHours":23.910675582605887,"endHours":25.262935946301468,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:37","startHours":25.262935946301468,"endHours":26.615196309997053,"quality":"auspicious"},{"name":"Amṛta","start":"02:37","end":"03:58","startHours":26.615196309997053,"endHours":27.967456673692634,"quality":"auspicious"},{"name":"Kāla","start":"03:58","end":"05:19","startHours":27.967456673692634,"endHours":29.319717037388216,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:19","end":"06:19","startHours":5.319717037388218,"endHours":6.319717037388218,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:19","end":"07:19","startHours":6.319717037388218,"endHours":7.319717037388218,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:19","end":"08:19","startHours":7.319717037388218,"endHours":8.319717037388218,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:19","end":"09:19","startHours":8.319717037388218,"endHours":9.319717037388218,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:19","end":"10:19","startHours":9.319717037388218,"endHours":10.319717037388218,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:19","end":"11:19","startHours":10.319717037388218,"endHours":11.319717037388218,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:19","end":"12:19","startHours":11.319717037388218,"endHours":12.319717037388218,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:19","end":"13:19","startHours":12.319717037388218,"endHours":13.319717037388218,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:19","end":"14:19","startHours":13.319717037388218,"endHours":14.319717037388218,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:19","end":"15:19","startHours":14.319717037388218,"endHours":15.319717037388218,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:19","end":"16:19","startHours":15.319717037388218,"endHours":16.319717037388216,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:19","end":"17:19","startHours":16.319717037388216,"endHours":17.319717037388216,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:19","end":"18:19","startHours":17.319717037388216,"endHours":18.319717037388216,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:19","end":"19:19","startHours":18.319717037388216,"endHours":19.319717037388216,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:19","end":"20:19","startHours":19.319717037388216,"endHours":20.319717037388216,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:19","end":"21:19","startHours":20.319717037388216,"endHours":21.319717037388216,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:19","end":"22:19","startHours":21.319717037388216,"endHours":22.319717037388216,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:19","end":"23:19","startHours":22.319717037388216,"endHours":23.319717037388216,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:19","end":"00:19","startHours":23.319717037388216,"endHours":24.319717037388216,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:19","end":"01:19","startHours":24.319717037388216,"endHours":25.319717037388216,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:19","end":"02:19","startHours":25.319717037388216,"endHours":26.319717037388216,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:19","end":"03:19","startHours":26.319717037388216,"endHours":27.319717037388216,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:19","end":"04:19","startHours":27.319717037388216,"endHours":28.319717037388216,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:19","end":"05:19","startHours":28.319717037388216,"endHours":29.319717037388216,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","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":17.669020919371167,"eotMinutes":-5.878934956353266,"ayanamsa":22.115}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"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 Dvitīyā · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"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 August 3, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 3, 1875 CE for Ranchi, Jharkhand: Śukla Dvitīyā, sūryodaya 05:19, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-08-03","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-08-03","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-08-03","x-default":"https://vidhyamitra.com/city/ranchi/1875-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:33:31.075Z","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":"2026-06-02T00:33:31.075Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:33:31.075Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}