{"id":"vidhyamitra:city-day:ranchi:1875-12-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-12-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-12-10","date_display":"December 10, 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":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406232.770833,"kali_year":4977,"ahargana":1817767.2708,"sun":{"sidereal_longitude":235.3741,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":18.3194,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.9453,"elapsed_within_tithi_degrees":10.9453},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.3194,"elapsed_within_degrees":4.9861},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.6935},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":12,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406232.770833,"ahargana":1817767.2708,"kali_year":4977,"ayanamsa_lahiri":22.12,"grahas":{"sun":{"sidereal_longitude":235.49557100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":16.131571000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":2.4079},"mars":{"sidereal_longitude":312.4531710000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":228.158371,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":209.10797100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":256.65407100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":300.18477099999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":345.9423,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":165.9423,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"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":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406232.770833,"kali_year":4977,"ahargana":1817767.2708,"sun":{"sidereal_longitude":235.3741,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":18.3194,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.9453,"elapsed_within_tithi_degrees":10.9453},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.3194,"elapsed_within_degrees":4.9861},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.6935},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.408,"elongation":142.945},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.408,"opposition_distance":37.055}},"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":"06:20","sunsetLocal":"17:04","solarNoonLocal":"11:42","dayLengthHours":10.735512989076726,"dayLengthDisplay":"10 Hours 44 Mins 08 Secs","nightLengthDisplay":"13 Hours 15 Mins 52 Secs","moonriseLocal":"14:37","moonsetLocal":"03:33","rahuKala":{"name":"Rāhu Kāla","start":"10:22","end":"11:42","startHours":10.363587344061155,"endHours":11.705526467695748,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:23","end":"15:44","startHours":14.389404714964929,"endHours":15.73134383859952,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:41","end":"09:01","startHours":7.679709096791974,"endHours":9.021648220426565,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:12","startHours":8.842723003941954,"endHours":9.200573436911178,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:04","startHours":6.785083014368914,"endHours":7.071363360744294,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:04","startHours":11.347676034726524,"endHours":12.063376900664972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:54","end":"05:37","startHours":4.906368241280487,"endHours":5.622069107218936,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:27","end":"06:20","startHours":5.443143890734323,"endHours":6.337769973157384,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:13","startHours":13.494778632541868,"endHours":14.210479498480316,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:52","end":"17:16","startHours":16.87328296223411,"endHours":17.27328296223411,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:04","end":"17:31","startHours":17.07328296223411,"endHours":17.52059600344564,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:49","end":"18:34","startHours":16.82328296223411,"endHours":18.57328296223411,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:04","startHours":23.347676034726522,"endHours":24.063376900664974,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:20","end":"07:41","startHours":6.337769973157384,"endHours":7.679709096791974,"quality":"neutral"},{"name":"Labha","start":"07:41","end":"09:01","startHours":7.679709096791974,"endHours":9.021648220426565,"quality":"auspicious"},{"name":"Amṛta","start":"09:01","end":"10:22","startHours":9.021648220426565,"endHours":10.363587344061155,"quality":"auspicious"},{"name":"Kāla","start":"10:22","end":"11:42","startHours":10.363587344061155,"endHours":11.705526467695748,"quality":"inauspicious"},{"name":"Śubha","start":"11:42","end":"13:03","startHours":11.705526467695748,"endHours":13.047465591330337,"quality":"auspicious"},{"name":"Roga","start":"13:03","end":"14:23","startHours":13.047465591330337,"endHours":14.389404714964929,"quality":"inauspicious"},{"name":"Udveg","start":"14:23","end":"15:44","startHours":14.389404714964929,"endHours":15.73134383859952,"quality":"inauspicious"},{"name":"Chala","start":"15:44","end":"17:04","startHours":15.73134383859952,"endHours":17.07328296223411,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:04","end":"18:44","startHours":17.07328296223411,"endHours":18.731343838599518,"quality":"inauspicious"},{"name":"Udveg","start":"18:44","end":"20:23","startHours":18.731343838599518,"endHours":20.38940471496493,"quality":"inauspicious"},{"name":"Chala","start":"20:23","end":"22:03","startHours":20.38940471496493,"endHours":22.047465591330337,"quality":"neutral"},{"name":"Labha","start":"22:03","end":"23:42","startHours":22.047465591330337,"endHours":23.705526467695748,"quality":"auspicious"},{"name":"Amṛta","start":"23:42","end":"01:22","startHours":23.705526467695748,"endHours":25.363587344061155,"quality":"auspicious"},{"name":"Kāla","start":"01:22","end":"03:01","startHours":25.363587344061155,"endHours":27.021648220426563,"quality":"inauspicious"},{"name":"Śubha","start":"03:01","end":"04:41","startHours":27.021648220426563,"endHours":28.679709096791974,"quality":"auspicious"},{"name":"Roga","start":"04:41","end":"06:20","startHours":28.679709096791974,"endHours":30.337769973157386,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.337769973157384,"endHours":7.337769973157384,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.337769973157384,"endHours":8.337769973157384,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.337769973157384,"endHours":9.337769973157384,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.337769973157384,"endHours":10.337769973157384,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.337769973157384,"endHours":11.337769973157384,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.337769973157384,"endHours":12.337769973157384,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.337769973157384,"endHours":13.337769973157384,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.337769973157384,"endHours":14.337769973157384,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.337769973157384,"endHours":15.337769973157384,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.337769973157384,"endHours":16.337769973157386,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.337769973157386,"endHours":17.337769973157386,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.337769973157386,"endHours":18.337769973157386,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.337769973157386,"endHours":19.337769973157386,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.337769973157386,"endHours":20.337769973157386,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.337769973157386,"endHours":21.337769973157386,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.337769973157386,"endHours":22.337769973157386,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.337769973157386,"endHours":23.337769973157386,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.337769973157386,"endHours":24.337769973157386,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.337769973157386,"endHours":25.337769973157386,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.337769973157386,"endHours":26.337769973157386,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.337769973157386,"endHours":27.337769973157386,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.337769973157386,"endHours":28.337769973157386,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.337769973157386,"endHours":29.337769973157386,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.337769973157386,"endHours":30.337769973157386,"planetary_lord":"Mars"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.85979597332518,"eotMinutes":6.4300119382551255,"ayanamsa":22.12}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 December 10, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 10, 1875 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 06:20, sūryāsta 17:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-12-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-12-10","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-12-10","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-12-10","x-default":"https://vidhyamitra.com/city/ranchi/1875-12-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:05:47.509Z","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":"2026-06-02T07:05:47.509Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:05:47.509Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}