{"id":"vidhyamitra:city-day:ranchi:1875-10-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-10-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-10-12","date_display":"October 12, 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":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406173.770833,"kali_year":4977,"ahargana":1817708.2708,"sun":{"sidereal_longitude":175.7546,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":317.8106,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.056,"elapsed_within_tithi_degrees":10.056},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.8106,"elapsed_within_degrees":11.144},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.5653},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":10,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406173.770833,"ahargana":1817708.2708,"kali_year":4977,"ayanamsa_lahiri":22.1177,"grahas":{"sun":{"sidereal_longitude":176.191325,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":317.60922500000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-2.3332},"mars":{"sidereal_longitude":271.943225,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":202.59642499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":196.32502499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":182.88402499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":298.54752499999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":349.0684,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.0684,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1875,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406173.770833,"kali_year":4977,"ahargana":1817708.2708,"sun":{"sidereal_longitude":175.7546,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":317.8106,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.056,"elapsed_within_tithi_degrees":10.056},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.8106,"elapsed_within_degrees":11.144},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.5653},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.333,"elongation":142.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.333,"opposition_distance":37.944}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":0.749,"opposition_distance":0.227}]},"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":"05:43","sunsetLocal":"17:26","solarNoonLocal":"11:35","dayLengthHours":11.70664820273971,"dayLengthDisplay":"11 Hours 42 Mins 24 Secs","nightLengthDisplay":"12 Hours 17 Mins 36 Secs","moonriseLocal":"15:11","moonsetLocal":"02:49","rahuKala":{"name":"Rāhu Kāla","start":"14:30","end":"15:58","startHours":14.502364269198594,"endHours":15.965695294541058,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:39","end":"10:07","startHours":8.64904016782874,"endHours":10.112371193171203,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:35","end":"13:02","startHours":11.575702218513667,"endHours":13.039033243856132,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:51","startHours":8.453929364449744,"endHours":8.844150971207736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:31","startHours":6.2101551255912995,"endHours":6.5223324109976915,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:11","end":"11:58","startHours":11.185480611755677,"endHours":11.965923825271657,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:10","end":"04:57","startHours":4.16149169011185,"endHours":4.941934903627831,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:43","startHours":4.746824100248836,"endHours":5.722378117143812,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:32","end":"14:18","startHours":13.526810252303619,"endHours":14.3072534658196,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.229026319883523,"endHours":17.629026319883522,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:55","startHours":17.429026319883523,"endHours":17.91680332833101,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.179026319883523,"endHours":18.929026319883523,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:11","end":"23:58","startHours":23.18548061175568,"endHours":23.96592382527166,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:43","end":"07:11","startHours":5.722378117143812,"endHours":7.185709142486276,"quality":"inauspicious"},{"name":"Udveg","start":"07:11","end":"08:39","startHours":7.185709142486276,"endHours":8.64904016782874,"quality":"inauspicious"},{"name":"Chala","start":"08:39","end":"10:07","startHours":8.64904016782874,"endHours":10.112371193171203,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:35","startHours":10.112371193171203,"endHours":11.575702218513667,"quality":"auspicious"},{"name":"Amṛta","start":"11:35","end":"13:02","startHours":11.575702218513667,"endHours":13.039033243856132,"quality":"auspicious"},{"name":"Kāla","start":"13:02","end":"14:30","startHours":13.039033243856132,"endHours":14.502364269198594,"quality":"inauspicious"},{"name":"Śubha","start":"14:30","end":"15:58","startHours":14.502364269198594,"endHours":15.965695294541058,"quality":"auspicious"},{"name":"Roga","start":"15:58","end":"17:26","startHours":15.965695294541058,"endHours":17.429026319883523,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:26","end":"18:58","startHours":17.429026319883523,"endHours":18.96569529454106,"quality":"inauspicious"},{"name":"Śubha","start":"18:58","end":"20:30","startHours":18.96569529454106,"endHours":20.502364269198594,"quality":"auspicious"},{"name":"Roga","start":"20:30","end":"22:02","startHours":20.502364269198594,"endHours":22.03903324385613,"quality":"inauspicious"},{"name":"Udveg","start":"22:02","end":"23:35","startHours":22.03903324385613,"endHours":23.57570221851367,"quality":"inauspicious"},{"name":"Chala","start":"23:35","end":"01:07","startHours":23.57570221851367,"endHours":25.112371193171203,"quality":"neutral"},{"name":"Labha","start":"01:07","end":"02:39","startHours":25.112371193171203,"endHours":26.64904016782874,"quality":"auspicious"},{"name":"Amṛta","start":"02:39","end":"04:11","startHours":26.64904016782874,"endHours":28.185709142486274,"quality":"auspicious"},{"name":"Kāla","start":"04:11","end":"05:43","startHours":28.185709142486274,"endHours":29.722378117143812,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.722378117143812,"endHours":6.722378117143812,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.722378117143812,"endHours":7.722378117143812,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.722378117143812,"endHours":8.722378117143812,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.722378117143812,"endHours":9.722378117143812,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.722378117143812,"endHours":10.722378117143812,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.722378117143812,"endHours":11.722378117143812,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.722378117143812,"endHours":12.722378117143812,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.722378117143812,"endHours":13.722378117143812,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.722378117143812,"endHours":14.722378117143812,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.722378117143812,"endHours":15.722378117143812,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.722378117143812,"endHours":16.722378117143812,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.722378117143812,"endHours":17.722378117143812,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.722378117143812,"endHours":18.722378117143812,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.722378117143812,"endHours":19.722378117143812,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.722378117143812,"endHours":20.722378117143812,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.722378117143812,"endHours":21.722378117143812,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.722378117143812,"endHours":22.722378117143812,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.722378117143812,"endHours":23.722378117143812,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.722378117143812,"endHours":24.722378117143812,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.722378117143812,"endHours":25.722378117143812,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.722378117143812,"endHours":26.722378117143812,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.722378117143812,"endHours":27.722378117143812,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.722378117143812,"endHours":28.722378117143812,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.722378117143812,"endHours":29.722378117143812,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.1775490935905,"eotMinutes":14.219466889179907,"ayanamsa":22.1177}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · 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 October 12, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 12, 1875 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 05:43, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-10-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-10-12","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-10-12","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-10-12","x-default":"https://vidhyamitra.com/city/ranchi/1875-10-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:48:08.473Z","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":"2026-06-02T03:48:08.473Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:48:08.473Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}