{"id":"vidhyamitra:city-day:ranchi:2137-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2137-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-01-20","date_display":"January 20, 2137 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":2137,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501602.770833,"kali_year":5238,"ahargana":1913137.2708,"sun":{"sidereal_longitude":273.8601,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.9739,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.1137,"elapsed_within_tithi_degrees":2.1137},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.9739,"elapsed_within_degrees":11.9739},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.834},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2137,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501602.770833,"ahargana":1913137.2708,"kali_year":5238,"ayanamsa_lahiri":25.7675,"grahas":{"sun":{"sidereal_longitude":274.2676349999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":250.56463499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-4.4421},"mars":{"sidereal_longitude":274.275135,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":261.034035,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":213.57373499999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":308.68143499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":260.16893500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":332.7807,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":152.7807,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2137,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501602.770833,"kali_year":5238,"ahargana":1913137.2708,"sun":{"sidereal_longitude":273.8601,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.9739,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.1137,"elapsed_within_tithi_degrees":2.1137},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.9739,"elapsed_within_degrees":11.9739},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.834},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.442,"elongation":21.886},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.442,"opposition_distance":158.114}},"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":"06:32","sunsetLocal":"17:27","solarNoonLocal":"12:00","dayLengthHours":10.916019170205553,"dayLengthDisplay":"10 Hours 54 Mins 58 Secs","nightLengthDisplay":"13 Hours 05 Mins 02 Secs","moonriseLocal":"05:05","moonsetLocal":"15:45","rahuKala":{"name":"Rāhu Kāla","start":"16:05","end":"17:27","startHours":16.088938911114234,"endHours":17.45344130738993,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.359934118562848,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:43","end":"16:05","startHours":14.724436514838542,"endHours":16.088938911114234,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.084493276899007,"endHours":9.448360582572525,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.992256269276275,"endHours":7.28335011381509,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.631564416613635,"endHours":12.359299027960674,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.081952914490303,"endHours":5.80968752583734,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.6277538730005805,"endHours":6.537422137184377,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:33","startHours":13.814768250654746,"endHours":14.542502862001783,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.25344130738993,"endHours":17.65344130738993,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:54","startHours":17.45344130738993,"endHours":17.908275439481827,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.20344130738993,"endHours":18.95344130738993,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.631564416613635,"endHours":24.359299027960674,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:32","end":"07:54","startHours":6.537422137184377,"endHours":7.901924533460071,"quality":"inauspicious"},{"name":"Chala","start":"07:54","end":"09:16","startHours":7.901924533460071,"endHours":9.266426929735765,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:38","startHours":9.266426929735765,"endHours":10.63092932601146,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:00","startHours":10.63092932601146,"endHours":11.995431722287154,"quality":"auspicious"},{"name":"Kāla","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.359934118562848,"quality":"inauspicious"},{"name":"Śubha","start":"13:22","end":"14:43","startHours":13.359934118562848,"endHours":14.724436514838542,"quality":"auspicious"},{"name":"Roga","start":"14:43","end":"16:05","startHours":14.724436514838542,"endHours":16.088938911114234,"quality":"inauspicious"},{"name":"Udveg","start":"16:05","end":"17:27","startHours":16.088938911114234,"endHours":17.45344130738993,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:05","startHours":17.45344130738993,"endHours":19.088938911114237,"quality":"auspicious"},{"name":"Roga","start":"19:05","end":"20:43","startHours":19.088938911114237,"endHours":20.72443651483854,"quality":"inauspicious"},{"name":"Udveg","start":"20:43","end":"22:22","startHours":20.72443651483854,"endHours":22.359934118562848,"quality":"inauspicious"},{"name":"Chala","start":"22:22","end":"00:00","startHours":22.359934118562848,"endHours":23.995431722287154,"quality":"neutral"},{"name":"Labha","start":"00:00","end":"01:38","startHours":23.995431722287154,"endHours":25.63092932601146,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:16","startHours":25.63092932601146,"endHours":27.266426929735765,"quality":"auspicious"},{"name":"Kāla","start":"03:16","end":"04:54","startHours":27.266426929735765,"endHours":28.901924533460072,"quality":"inauspicious"},{"name":"Śubha","start":"04:54","end":"06:32","startHours":28.901924533460072,"endHours":30.53742213718438,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.537422137184377,"endHours":7.537422137184377,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.537422137184377,"endHours":8.537422137184377,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.537422137184377,"endHours":9.537422137184377,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.537422137184377,"endHours":10.537422137184377,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.537422137184377,"endHours":11.537422137184377,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.537422137184377,"endHours":12.537422137184377,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.537422137184377,"endHours":13.537422137184377,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.537422137184377,"endHours":14.537422137184377,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.537422137184377,"endHours":15.537422137184377,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.537422137184377,"endHours":16.53742213718438,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.53742213718438,"endHours":17.53742213718438,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.53742213718438,"endHours":18.53742213718438,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.53742213718438,"endHours":19.53742213718438,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.53742213718438,"endHours":20.53742213718438,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.53742213718438,"endHours":21.53742213718438,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.53742213718438,"endHours":22.53742213718438,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.53742213718438,"endHours":23.53742213718438,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.53742213718438,"endHours":24.53742213718438,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.53742213718438,"endHours":25.53742213718438,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.53742213718438,"endHours":26.53742213718438,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.53742213718438,"endHours":27.53742213718438,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.53742213718438,"endHours":28.53742213718438,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.53742213718438,"endHours":29.53742213718438,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.53742213718438,"endHours":30.53742213718438,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.140560185582615,"eotMinutes":-10.9643033372293,"ayanamsa":25.7675}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"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 Caturdaśī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 20, 2137 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 20, 2137 CE for Ranchi, Jharkhand: Kṛṣṇa Caturdaśī, sūryodaya 06:32, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2137-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2137-01-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2137-01-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2137-01-20","x-default":"https://vidhyamitra.com/city/ranchi/2137-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:03:58.071Z","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":"2026-06-01T03:03:58.071Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:03:58.071Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}