{"id":"vidhyamitra:city-day:ranchi:1872-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1872-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-01-31","date_display":"January 31, 1872 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":1872,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404823.770833,"kali_year":4973,"ahargana":1816358.2708,"sun":{"sidereal_longitude":288.7817,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":172.3504,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.5687,"elapsed_within_tithi_degrees":3.5687},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.3504,"elapsed_within_degrees":12.3504},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.132},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1872,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404823.770833,"ahargana":1816358.2708,"kali_year":4973,"ayanamsa_lahiri":22.0661,"grahas":{"sun":{"sidereal_longitude":288.46390500000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":169.29240500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":4.179},"mars":{"sidereal_longitude":315.55360500000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":266.36390500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":92.00270499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"venus":{"sidereal_longitude":249.58390499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":264.450105,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":60.5979,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":240.5979,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":1872,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404823.770833,"kali_year":4973,"ahargana":1816358.2708,"sun":{"sidereal_longitude":288.7817,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":172.3504,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.5687,"elapsed_within_tithi_degrees":3.5687},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.3504,"elapsed_within_degrees":12.3504},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.132},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.179,"elongation":116.431},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.179,"opposition_distance":63.569}},"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":"06:30","sunsetLocal":"17:35","solarNoonLocal":"12:02","dayLengthHours":11.079047580243536,"dayLengthDisplay":"11 Hours 04 Mins 45 Secs","nightLengthDisplay":"12 Hours 55 Mins 15 Secs","moonriseLocal":"22:11","moonsetLocal":"10:00","rahuKala":{"name":"Rāhu Kāla","start":"12:02","end":"13:25","startHours":12.038186475697369,"endHours":13.42306742322781,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:53","end":"09:16","startHours":7.883543633106042,"endHours":9.268424580636484,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:02","startHours":10.653305528166925,"endHours":12.038186475697369,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.083773787632426,"endHours":9.453075373640543,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.960289668085748,"endHours":7.255730936892243,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:24","startHours":11.668884889689249,"endHours":12.407488061705486,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:46","startHours":5.021456341543129,"endHours":5.760059513559365,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:35","end":"06:30","startHours":5.575408720555306,"endHours":6.4986626855756,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:37","startHours":13.884694405737957,"endHours":14.623297577754192,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.377710265819136,"endHours":17.777710265819135,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:02","startHours":17.577710265819135,"endHours":18.039337248329282,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.327710265819135,"endHours":19.077710265819135,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:24","startHours":23.66888488968925,"endHours":24.407488061705482,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:30","end":"07:53","startHours":6.4986626855756,"endHours":7.883543633106042,"quality":"auspicious"},{"name":"Amṛta","start":"07:53","end":"09:16","startHours":7.883543633106042,"endHours":9.268424580636484,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:39","startHours":9.268424580636484,"endHours":10.653305528166925,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:02","startHours":10.653305528166925,"endHours":12.038186475697369,"quality":"auspicious"},{"name":"Roga","start":"12:02","end":"13:25","startHours":12.038186475697369,"endHours":13.42306742322781,"quality":"inauspicious"},{"name":"Udveg","start":"13:25","end":"14:48","startHours":13.42306742322781,"endHours":14.80794837075825,"quality":"inauspicious"},{"name":"Chala","start":"14:48","end":"16:12","startHours":14.80794837075825,"endHours":16.192829318288695,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:35","startHours":16.192829318288695,"endHours":17.577710265819135,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:35","end":"19:12","startHours":17.577710265819135,"endHours":19.192829318288695,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:48","startHours":19.192829318288695,"endHours":20.80794837075825,"quality":"neutral"},{"name":"Labha","start":"20:48","end":"22:25","startHours":20.80794837075825,"endHours":22.42306742322781,"quality":"auspicious"},{"name":"Amṛta","start":"22:25","end":"00:02","startHours":22.42306742322781,"endHours":24.038186475697366,"quality":"auspicious"},{"name":"Kāla","start":"00:02","end":"01:39","startHours":24.038186475697366,"endHours":25.653305528166925,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:16","startHours":25.653305528166925,"endHours":27.268424580636484,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:53","startHours":27.268424580636484,"endHours":28.883543633106044,"quality":"inauspicious"},{"name":"Udveg","start":"04:53","end":"06:30","startHours":28.883543633106044,"endHours":30.4986626855756,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.4986626855756,"endHours":7.4986626855756,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.4986626855756,"endHours":8.4986626855756,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.4986626855756,"endHours":9.4986626855756,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.4986626855756,"endHours":10.4986626855756,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.4986626855756,"endHours":11.4986626855756,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.4986626855756,"endHours":12.4986626855756,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.4986626855756,"endHours":13.4986626855756,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.4986626855756,"endHours":14.4986626855756,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.4986626855756,"endHours":15.4986626855756,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.4986626855756,"endHours":16.4986626855756,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.4986626855756,"endHours":17.4986626855756,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.4986626855756,"endHours":18.4986626855756,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.4986626855756,"endHours":19.4986626855756,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.4986626855756,"endHours":20.4986626855756,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.4986626855756,"endHours":21.4986626855756,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.4986626855756,"endHours":22.4986626855756,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.4986626855756,"endHours":23.4986626855756,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.4986626855756,"endHours":24.4986626855756,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.4986626855756,"endHours":25.4986626855756,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.4986626855756,"endHours":26.4986626855756,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.4986626855756,"endHours":27.4986626855756,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.4986626855756,"endHours":28.4986626855756,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.4986626855756,"endHours":29.4986626855756,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.4986626855756,"endHours":30.4986626855756,"planetary_lord":"Sun"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.595968648899294,"eotMinutes":-13.52958854184206,"ayanamsa":22.0661}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 January 31, 1872 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 31, 1872 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:30, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1872-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1872-01-31","sa":"https://sa.vidhyamitra.com/city/ranchi/1872-01-31","hi":"https://hi.vidhyamitra.com/city/ranchi/1872-01-31","x-default":"https://vidhyamitra.com/city/ranchi/1872-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:38:01.390Z","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":"2026-06-02T07:38:01.390Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:38:01.390Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}