{"id":"vidhyamitra:city-day:ranchi:1875-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-12-03","date_display":"December 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":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406225.770833,"kali_year":4977,"ahargana":1817760.2708,"sun":{"sidereal_longitude":228.2068,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":287.2034,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.9965,"elapsed_within_tithi_degrees":10.9965},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.2034,"elapsed_within_degrees":7.2034},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4102},"karana":{"half_tithi_index":9,"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":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406225.770833,"ahargana":1817760.2708,"kali_year":4977,"ayanamsa_lahiri":22.1197,"grahas":{"sun":{"sidereal_longitude":228.38543800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":283.5887379999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-3.8606},"mars":{"sidereal_longitude":307.43963800000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":217.32323799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":207.641438,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":247.90373799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":299.70313799999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":346.3132,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":166.3132,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406225.770833,"kali_year":4977,"ahargana":1817760.2708,"sun":{"sidereal_longitude":228.2068,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":287.2034,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.9965,"elapsed_within_tithi_degrees":10.9965},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.2034,"elapsed_within_degrees":7.2034},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4102},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.861,"elongation":58.997},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.861,"opposition_distance":121.003}},"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":"06:16","sunsetLocal":"17:03","solarNoonLocal":"11:39","dayLengthHours":10.792024930311346,"dayLengthDisplay":"10 Hours 47 Mins 31 Secs","nightLengthDisplay":"13 Hours 12 Mins 29 Secs","moonriseLocal":"09:51","moonsetLocal":"20:49","rahuKala":{"name":"Rāhu Kāla","start":"10:18","end":"11:39","startHours":10.307709768200116,"endHours":11.656712884489036,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:21","end":"15:42","startHours":14.354719117066871,"endHours":15.70372223335579,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:37","end":"08:58","startHours":7.60970353562228,"endHours":8.958706651911198,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:08","startHours":8.778839569739343,"endHours":9.138573734083053,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:00","startHours":6.710368124763001,"endHours":6.99815545623797,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:01","startHours":11.296978720145322,"endHours":12.016447048832745,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:32","startHours":4.821763761958516,"endHours":5.541232090645939,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:16","startHours":5.361365008474083,"endHours":6.260700419333362,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"14:10","startHours":13.455383706207591,"endHours":14.174852034895014,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.852725349644707,"endHours":17.252725349644706,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:30","startHours":17.052725349644707,"endHours":17.502393055074347,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.802725349644707,"endHours":18.552725349644707,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:01","startHours":23.29697872014532,"endHours":24.016447048832745,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:16","end":"07:37","startHours":6.260700419333362,"endHours":7.60970353562228,"quality":"neutral"},{"name":"Labha","start":"07:37","end":"08:58","startHours":7.60970353562228,"endHours":8.958706651911198,"quality":"auspicious"},{"name":"Amṛta","start":"08:58","end":"10:18","startHours":8.958706651911198,"endHours":10.307709768200116,"quality":"auspicious"},{"name":"Kāla","start":"10:18","end":"11:39","startHours":10.307709768200116,"endHours":11.656712884489036,"quality":"inauspicious"},{"name":"Śubha","start":"11:39","end":"13:00","startHours":11.656712884489036,"endHours":13.005716000777952,"quality":"auspicious"},{"name":"Roga","start":"13:00","end":"14:21","startHours":13.005716000777952,"endHours":14.354719117066871,"quality":"inauspicious"},{"name":"Udveg","start":"14:21","end":"15:42","startHours":14.354719117066871,"endHours":15.70372223335579,"quality":"inauspicious"},{"name":"Chala","start":"15:42","end":"17:03","startHours":15.70372223335579,"endHours":17.052725349644707,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:03","end":"18:42","startHours":17.052725349644707,"endHours":18.703722233355787,"quality":"inauspicious"},{"name":"Udveg","start":"18:42","end":"20:21","startHours":18.703722233355787,"endHours":20.35471911706687,"quality":"inauspicious"},{"name":"Chala","start":"20:21","end":"22:00","startHours":20.35471911706687,"endHours":22.00571600077795,"quality":"neutral"},{"name":"Labha","start":"22:00","end":"23:39","startHours":22.00571600077795,"endHours":23.656712884489032,"quality":"auspicious"},{"name":"Amṛta","start":"23:39","end":"01:18","startHours":23.656712884489032,"endHours":25.307709768200116,"quality":"auspicious"},{"name":"Kāla","start":"01:18","end":"02:58","startHours":25.307709768200116,"endHours":26.958706651911196,"quality":"inauspicious"},{"name":"Śubha","start":"02:58","end":"04:37","startHours":26.958706651911196,"endHours":28.60970353562228,"quality":"auspicious"},{"name":"Roga","start":"04:37","end":"06:16","startHours":28.60970353562228,"endHours":30.26070041933336,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.260700419333362,"endHours":7.260700419333362,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.260700419333362,"endHours":8.26070041933336,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.26070041933336,"endHours":9.26070041933336,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.26070041933336,"endHours":10.26070041933336,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.26070041933336,"endHours":11.26070041933336,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.26070041933336,"endHours":12.26070041933336,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.26070041933336,"endHours":13.26070041933336,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.26070041933336,"endHours":14.26070041933336,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.26070041933336,"endHours":15.26070041933336,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.26070041933336,"endHours":16.26070041933336,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.26070041933336,"endHours":17.26070041933336,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.26070041933336,"endHours":18.26070041933336,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.26070041933336,"endHours":19.26070041933336,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.26070041933336,"endHours":20.26070041933336,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.26070041933336,"endHours":21.26070041933336,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.26070041933336,"endHours":22.26070041933336,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.26070041933336,"endHours":23.26070041933336,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.26070041933336,"endHours":24.26070041933336,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.26070041933336,"endHours":25.26070041933336,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.26070041933336,"endHours":26.26070041933336,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.26070041933336,"endHours":27.26070041933336,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.26070041933336,"endHours":28.26070041933336,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.26070041933336,"endHours":29.26070041933336,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.26070041933336,"endHours":30.26070041933336,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.02004979641219,"eotMinutes":9.35882693065794,"ayanamsa":22.1197}},"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 Pañcamī · 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 3, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 3, 1875 CE for Ranchi, Jharkhand: Śukla Pañcamī, sūryodaya 06:16, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-12-03","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-12-03","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-12-03","x-default":"https://vidhyamitra.com/city/ranchi/1875-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:19:30.124Z","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":"2026-06-02T06:19:30.124Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:19:30.124Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}