{"id":"vidhyamitra:city-day:ranchi:2137-01-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2137-01-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-01-26","date_display":"January 26, 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":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501608.770833,"kali_year":5238,"ahargana":1913143.2708,"sun":{"sidereal_longitude":280.0129,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":335.1206,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.1077,"elapsed_within_tithi_degrees":7.1077},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.1206,"elapsed_within_degrees":1.7872},"yoga":{"number":20,"name":"Śiva","sum_longitude":255.1334},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2137,"month":1,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501608.770833,"ahargana":1913143.2708,"kali_year":5238,"ayanamsa_lahiri":25.7678,"grahas":{"sun":{"sidereal_longitude":280.373106,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":336.483806,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":0.2084},"mars":{"sidereal_longitude":278.96900600000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":270.56980599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":214.50260600000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":309.96080600000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":260.86060599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":332.4628,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":152.4628,"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":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501608.770833,"kali_year":5238,"ahargana":1913143.2708,"sun":{"sidereal_longitude":280.0129,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":335.1206,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.1077,"elapsed_within_tithi_degrees":7.1077},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.1206,"elapsed_within_degrees":1.7872},"yoga":{"number":20,"name":"Śiva","sum_longitude":255.1334},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.208,"elongation":55.108},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.208,"opposition_distance":124.892}},"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":"06:31","sunsetLocal":"17:32","solarNoonLocal":"12:01","dayLengthHours":11.006687735826596,"dayLengthDisplay":"11 Hours 00 Mins 24 Secs","nightLengthDisplay":"12 Hours 59 Mins 36 Secs","moonriseLocal":"09:42","moonsetLocal":"21:50","rahuKala":{"name":"Rāhu Kāla","start":"09:16","end":"10:39","startHours":9.270067823603862,"endHours":10.645903790582185,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:24","end":"14:46","startHours":13.397575724538836,"endHours":14.77341169151716,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:31","end":"07:54","startHours":6.518395889647213,"endHours":7.894231856625537,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.086623028006752,"endHours":9.453512619200971,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.977007878639988,"endHours":7.270519551595363,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:23","startHours":11.654850166366291,"endHours":12.38862934875473,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:47","startHours":5.050837524870333,"endHours":5.784616707258773,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:31","startHours":5.601171911661663,"endHours":6.518395889647213,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:35","startHours":13.856187713531611,"endHours":14.589966895920051,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.32508362547381,"endHours":17.725083625473808,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:59","startHours":17.52508362547381,"endHours":17.983695614466583,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.27508362547381,"endHours":19.02508362547381,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:23","startHours":23.65485016636629,"endHours":24.38862934875473,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:31","end":"07:54","startHours":6.518395889647213,"endHours":7.894231856625537,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:16","startHours":7.894231856625537,"endHours":9.270067823603862,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:39","startHours":9.270067823603862,"endHours":10.645903790582185,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:01","startHours":10.645903790582185,"endHours":12.02173975756051,"quality":"inauspicious"},{"name":"Chala","start":"12:01","end":"13:24","startHours":12.02173975756051,"endHours":13.397575724538836,"quality":"neutral"},{"name":"Labha","start":"13:24","end":"14:46","startHours":13.397575724538836,"endHours":14.77341169151716,"quality":"auspicious"},{"name":"Amṛta","start":"14:46","end":"16:09","startHours":14.77341169151716,"endHours":16.149247658495483,"quality":"auspicious"},{"name":"Kāla","start":"16:09","end":"17:32","startHours":16.149247658495483,"endHours":17.52508362547381,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:32","end":"19:09","startHours":17.52508362547381,"endHours":19.149247658495483,"quality":"auspicious"},{"name":"Amṛta","start":"19:09","end":"20:46","startHours":19.149247658495483,"endHours":20.77341169151716,"quality":"auspicious"},{"name":"Kāla","start":"20:46","end":"22:24","startHours":20.77341169151716,"endHours":22.397575724538836,"quality":"inauspicious"},{"name":"Śubha","start":"22:24","end":"00:01","startHours":22.397575724538836,"endHours":24.02173975756051,"quality":"auspicious"},{"name":"Roga","start":"00:01","end":"01:39","startHours":24.02173975756051,"endHours":25.645903790582185,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:16","startHours":25.645903790582185,"endHours":27.27006782360386,"quality":"inauspicious"},{"name":"Chala","start":"03:16","end":"04:54","startHours":27.27006782360386,"endHours":28.894231856625538,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:31","startHours":28.894231856625538,"endHours":30.518395889647213,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.518395889647213,"endHours":7.518395889647213,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.518395889647213,"endHours":8.518395889647213,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.518395889647213,"endHours":9.518395889647213,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.518395889647213,"endHours":10.518395889647213,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.518395889647213,"endHours":11.518395889647213,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.518395889647213,"endHours":12.518395889647213,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.518395889647213,"endHours":13.518395889647213,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.518395889647213,"endHours":14.518395889647213,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.518395889647213,"endHours":15.518395889647213,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.518395889647213,"endHours":16.518395889647213,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.518395889647213,"endHours":17.518395889647213,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.518395889647213,"endHours":18.518395889647213,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.518395889647213,"endHours":19.518395889647213,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.518395889647213,"endHours":20.518395889647213,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.518395889647213,"endHours":21.518395889647213,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.518395889647213,"endHours":22.518395889647213,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.518395889647213,"endHours":23.518395889647213,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.518395889647213,"endHours":24.518395889647213,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.518395889647213,"endHours":25.518395889647213,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.518395889647213,"endHours":26.518395889647213,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.518395889647213,"endHours":27.518395889647213,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.518395889647213,"endHours":28.518395889647213,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.518395889647213,"endHours":29.518395889647213,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.518395889647213,"endHours":30.518395889647213,"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","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":-18.73529446987963,"eotMinutes":-12.542785453630707,"ayanamsa":25.7678}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Pañcamī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"festivals":[{"id":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]}],"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 26, 2137 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 26, 2137 CE for Ranchi, Jharkhand: Śukla Pañcamī, sūryodaya 06:31, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2137-01-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2137-01-26","sa":"https://sa.vidhyamitra.com/city/ranchi/2137-01-26","hi":"https://hi.vidhyamitra.com/city/ranchi/2137-01-26","x-default":"https://vidhyamitra.com/city/ranchi/2137-01-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:14:43.265Z","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":"2026-05-31T23:14:43.265Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:14:43.265Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}