{"id":"vidhyamitra:city-day:ranchi:1875-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-09-13","date_display":"September 13, 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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406144.770833,"kali_year":4977,"ahargana":1817679.2708,"sun":{"sidereal_longitude":147.2835,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":295.5533,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.2698,"elapsed_within_tithi_degrees":4.2698},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.5533,"elapsed_within_degrees":2.2199},"yoga":{"number":7,"name":"Sukarma","sum_longitude":82.8367},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":1875,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406144.770833,"ahargana":1817679.2708,"kali_year":4977,"ayanamsa_lahiri":22.1166,"grahas":{"sun":{"sidereal_longitude":147.70833300000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":296.353833,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-3.6873},"mars":{"sidereal_longitude":255.2887330000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":166.74393299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":190.444933,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":146.71203300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":299.7851330000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":350.6049,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":170.6049,"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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406144.770833,"kali_year":4977,"ahargana":1817679.2708,"sun":{"sidereal_longitude":147.2835,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":295.5533,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.2698,"elapsed_within_tithi_degrees":4.2698},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.5533,"elapsed_within_degrees":2.2199},"yoga":{"number":7,"name":"Sukarma","sum_longitude":82.8367},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.687,"elongation":148.27},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.687,"opposition_distance":31.73}},"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":"05:33","sunsetLocal":"17:55","solarNoonLocal":"11:44","dayLengthHours":12.353620859038923,"dayLengthDisplay":"12 Hours 21 Mins 13 Secs","nightLengthDisplay":"11 Hours 38 Mins 47 Secs","moonriseLocal":"16:03","moonsetLocal":"03:14","rahuKala":{"name":"Rāhu Kāla","start":"07:06","end":"08:39","startHours":7.100854329029302,"endHours":8.645056936409167,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:11","end":"11:44","startHours":10.189259543789031,"endHours":11.733462151168897,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:17","end":"14:49","startHours":13.277664758548763,"endHours":14.821867365928629,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:51","startHours":8.439163255425186,"endHours":8.85095061739315,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:24","startHours":6.071385924109392,"endHours":6.400815813683764,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:09","startHours":11.321674789200936,"endHours":12.145249513136863,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:44","startHours":3.90950227377758,"endHours":4.733076997713509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:33","startHours":4.527183316729526,"endHours":5.556651721649437,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:37","startHours":13.792398961008718,"endHours":14.615973684944647,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.71027258068836,"endHours":18.11027258068836,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:26","startHours":17.91027258068836,"endHours":18.425006783148316,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.66027258068836,"endHours":19.41027258068836,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:09","startHours":23.321674789200937,"endHours":24.145249513136864,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:06","startHours":5.556651721649437,"endHours":7.100854329029302,"quality":"auspicious"},{"name":"Kāla","start":"07:06","end":"08:39","startHours":7.100854329029302,"endHours":8.645056936409167,"quality":"inauspicious"},{"name":"Śubha","start":"08:39","end":"10:11","startHours":8.645056936409167,"endHours":10.189259543789031,"quality":"auspicious"},{"name":"Roga","start":"10:11","end":"11:44","startHours":10.189259543789031,"endHours":11.733462151168897,"quality":"inauspicious"},{"name":"Udveg","start":"11:44","end":"13:17","startHours":11.733462151168897,"endHours":13.277664758548763,"quality":"inauspicious"},{"name":"Chala","start":"13:17","end":"14:49","startHours":13.277664758548763,"endHours":14.821867365928629,"quality":"neutral"},{"name":"Labha","start":"14:49","end":"16:22","startHours":14.821867365928629,"endHours":16.366069973308495,"quality":"auspicious"},{"name":"Amṛta","start":"16:22","end":"17:55","startHours":16.366069973308495,"endHours":17.91027258068836,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:55","end":"19:22","startHours":17.91027258068836,"endHours":19.366069973308495,"quality":"neutral"},{"name":"Labha","start":"19:22","end":"20:49","startHours":19.366069973308495,"endHours":20.82186736592863,"quality":"auspicious"},{"name":"Amṛta","start":"20:49","end":"22:17","startHours":20.82186736592863,"endHours":22.277664758548767,"quality":"auspicious"},{"name":"Kāla","start":"22:17","end":"23:44","startHours":22.277664758548767,"endHours":23.7334621511689,"quality":"inauspicious"},{"name":"Śubha","start":"23:44","end":"01:11","startHours":23.7334621511689,"endHours":25.189259543789035,"quality":"auspicious"},{"name":"Roga","start":"01:11","end":"02:39","startHours":25.189259543789035,"endHours":26.64505693640917,"quality":"inauspicious"},{"name":"Udveg","start":"02:39","end":"04:06","startHours":26.64505693640917,"endHours":28.100854329029303,"quality":"inauspicious"},{"name":"Chala","start":"04:06","end":"05:33","startHours":28.100854329029303,"endHours":29.556651721649438,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.556651721649437,"endHours":6.556651721649437,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.556651721649437,"endHours":7.556651721649437,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.556651721649437,"endHours":8.556651721649438,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.556651721649438,"endHours":9.556651721649438,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.556651721649438,"endHours":10.556651721649438,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.556651721649438,"endHours":11.556651721649438,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.556651721649438,"endHours":12.556651721649438,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.556651721649438,"endHours":13.556651721649438,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.556651721649438,"endHours":14.556651721649438,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.556651721649438,"endHours":15.556651721649438,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.556651721649438,"endHours":16.556651721649438,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.556651721649438,"endHours":17.556651721649438,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.556651721649438,"endHours":18.556651721649438,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.556651721649438,"endHours":19.556651721649438,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.556651721649438,"endHours":20.556651721649438,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.556651721649438,"endHours":21.556651721649438,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.556651721649438,"endHours":22.556651721649438,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.556651721649438,"endHours":23.556651721649438,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.556651721649438,"endHours":24.556651721649438,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.556651721649438,"endHours":25.556651721649438,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.556651721649438,"endHours":26.556651721649438,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.556651721649438,"endHours":27.556651721649438,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.556651721649438,"endHours":28.556651721649438,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.556651721649438,"endHours":29.556651721649438,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.029035759854623,"eotMinutes":4.753870929866006,"ayanamsa":22.1166}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Trayodaśī · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 September 13, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 13, 1875 CE for Ranchi, Jharkhand: Śukla Trayodaśī, sūryodaya 05:33, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-09-13","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-09-13","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-09-13","x-default":"https://vidhyamitra.com/city/ranchi/1875-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T23:06:02.987Z","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":"2026-06-02T23:06:02.987Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T23:06:02.987Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}