{"id":"vidhyamitra:city-day:ranchi:2142-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2142-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2142-01-13","date_display":"January 13, 2142 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":2142,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503421.770833,"kali_year":5243,"ahargana":1914956.2708,"sun":{"sidereal_longitude":266.3698,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":99.7255,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.3556,"elapsed_within_tithi_degrees":1.3556},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.7255,"elapsed_within_degrees":6.3921},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.0953},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2142,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2503421.770833,"ahargana":1914956.2708,"kali_year":5243,"ayanamsa_lahiri":25.8371,"grahas":{"sun":{"sidereal_longitude":266.850736,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":101.05473599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-3.0859},"mars":{"sidereal_longitude":186.35903600000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":242.445736,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":348.936136,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":222.89533600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":311.175836,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":236.4014,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":56.4014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2142,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503421.770833,"kali_year":5243,"ahargana":1914956.2708,"sun":{"sidereal_longitude":266.3698,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":99.7255,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.3556,"elapsed_within_tithi_degrees":1.3556},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.7255,"elapsed_within_degrees":6.3921},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.0953},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.086,"elongation":166.644},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.086,"opposition_distance":13.356}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":0.888,"elongation":1.284}]},"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":"06:33","sunsetLocal":"17:22","solarNoonLocal":"11:57","dayLengthHours":10.824808538859717,"dayLengthDisplay":"10 Hours 49 Mins 29 Secs","nightLengthDisplay":"13 Hours 10 Mins 31 Secs","moonriseLocal":"18:18","moonsetLocal":"07:30","rahuKala":{"name":"Rāhu Kāla","start":"09:15","end":"10:36","startHours":9.250423390141297,"endHours":10.603524457498763,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:19","end":"14:40","startHours":13.309726592213691,"endHours":14.662827659571157,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:33","end":"07:54","startHours":6.544221255426368,"endHours":7.8973223227838325,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.070009914493635,"endHours":9.43083686578896,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.995254944545524,"endHours":7.283916505581783,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:19","startHours":11.595798573560902,"endHours":12.317452476151551,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.100913450245073,"endHours":5.822567352835721,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:33","startHours":5.642153877188059,"endHours":6.544221255426368,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:29","startHours":13.760760281332846,"endHours":14.482414183923494,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.169029794286086,"endHours":17.569029794286084,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:49","startHours":17.369029794286085,"endHours":17.82006348340524,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.119029794286085,"endHours":18.869029794286085,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:19","startHours":23.595798573560906,"endHours":24.31745247615155,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:33","end":"07:54","startHours":6.544221255426368,"endHours":7.8973223227838325,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:15","startHours":7.8973223227838325,"endHours":9.250423390141297,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:36","startHours":9.250423390141297,"endHours":10.603524457498763,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"11:57","startHours":10.603524457498763,"endHours":11.956625524856227,"quality":"inauspicious"},{"name":"Chala","start":"11:57","end":"13:19","startHours":11.956625524856227,"endHours":13.309726592213691,"quality":"neutral"},{"name":"Labha","start":"13:19","end":"14:40","startHours":13.309726592213691,"endHours":14.662827659571157,"quality":"auspicious"},{"name":"Amṛta","start":"14:40","end":"16:01","startHours":14.662827659571157,"endHours":16.01592872692862,"quality":"auspicious"},{"name":"Kāla","start":"16:01","end":"17:22","startHours":16.01592872692862,"endHours":17.369029794286085,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:22","end":"19:01","startHours":17.369029794286085,"endHours":19.01592872692862,"quality":"auspicious"},{"name":"Amṛta","start":"19:01","end":"20:40","startHours":19.01592872692862,"endHours":20.662827659571157,"quality":"auspicious"},{"name":"Kāla","start":"20:40","end":"22:19","startHours":20.662827659571157,"endHours":22.309726592213693,"quality":"inauspicious"},{"name":"Śubha","start":"22:19","end":"23:57","startHours":22.309726592213693,"endHours":23.95662552485623,"quality":"auspicious"},{"name":"Roga","start":"23:57","end":"01:36","startHours":23.95662552485623,"endHours":25.603524457498764,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:15","startHours":25.603524457498764,"endHours":27.250423390141297,"quality":"inauspicious"},{"name":"Chala","start":"03:15","end":"04:54","startHours":27.250423390141297,"endHours":28.897322322783833,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:33","startHours":28.897322322783833,"endHours":30.54422125542637,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.544221255426368,"endHours":7.544221255426368,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.544221255426368,"endHours":8.544221255426368,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.544221255426368,"endHours":9.544221255426368,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.544221255426368,"endHours":10.544221255426368,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.544221255426368,"endHours":11.544221255426368,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.544221255426368,"endHours":12.544221255426368,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.544221255426368,"endHours":13.544221255426368,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.544221255426368,"endHours":14.544221255426368,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.544221255426368,"endHours":15.544221255426368,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.544221255426368,"endHours":16.54422125542637,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.54422125542637,"endHours":17.54422125542637,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.54422125542637,"endHours":18.54422125542637,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.54422125542637,"endHours":19.54422125542637,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.54422125542637,"endHours":20.54422125542637,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.54422125542637,"endHours":21.54422125542637,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.54422125542637,"endHours":22.54422125542637,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.54422125542637,"endHours":23.54422125542637,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.54422125542637,"endHours":24.54422125542637,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.54422125542637,"endHours":25.54422125542637,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.54422125542637,"endHours":26.54422125542637,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.54422125542637,"endHours":27.54422125542637,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.54422125542637,"endHours":28.54422125542637,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.54422125542637,"endHours":29.54422125542637,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.54422125542637,"endHours":30.54422125542637,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.528003170719725,"eotMinutes":-8.635931491373626,"ayanamsa":25.8371}},"calendars":{"vikram_samvat":2199,"vikram_samvatsara":"Rākṣasa","saka_samvat":2064,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1549,"malayalam_era":1318,"nanakshahi_year":673,"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Dvitīyā · Vikram 2199 Rākṣasa · Śaka 2064 Śubhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 13, 2142 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 13, 2142 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 06:33, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2142-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2142-01-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2142-01-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2142-01-13","x-default":"https://vidhyamitra.com/city/ranchi/2142-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T16:41:31.607Z","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":"2026-06-01T16:41:31.607Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T16:41:31.607Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}