{"id":"vidhyamitra:city-day:ranchi:2138-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2138-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-01-03","date_display":"January 3, 2138 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":2138,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501950.770833,"kali_year":5239,"ahargana":1913485.2708,"sun":{"sidereal_longitude":256.1263,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":153.0879,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.9616,"elapsed_within_tithi_degrees":4.9616},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":153.0879,"elapsed_within_degrees":6.4212},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":49.2142},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2138,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501950.770833,"ahargana":1913485.2708,"kali_year":5239,"ayanamsa_lahiri":25.7808,"grahas":{"sun":{"sidereal_longitude":256.68603899999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":149.511439,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-1.4448},"mars":{"sidereal_longitude":141.31583899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":245.529139,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":235.47643900000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":262.32993899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":268.1970389999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":314.342,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.342,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2138,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501950.770833,"kali_year":5239,"ahargana":1913485.2708,"sun":{"sidereal_longitude":256.1263,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":153.0879,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.9616,"elapsed_within_tithi_degrees":4.9616},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":153.0879,"elapsed_within_degrees":6.4212},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":49.2142},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.445,"elongation":103.038},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.445,"opposition_distance":76.962}},"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":"17:15","solarNoonLocal":"11:53","dayLengthHours":10.736031353372764,"dayLengthDisplay":"10 Hours 44 Mins 10 Secs","nightLengthDisplay":"13 Hours 15 Mins 50 Secs","moonriseLocal":"22:39","moonsetLocal":"10:50","rahuKala":{"name":"Rāhu Kāla","start":"10:33","end":"11:53","startHours":10.547179761339372,"endHours":11.889183680510968,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:34","end":"15:55","startHours":14.57319151885416,"endHours":15.915195438025755,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:12","startHours":7.863171922996182,"endHours":9.205175842167778,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.026241986278231,"endHours":9.384109698057323,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:15","startHours":6.968502643548452,"endHours":7.254796812971725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.531315968731876,"endHours":12.247051392290059,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.089697156708217,"endHours":5.805432580266402,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:31","startHours":5.626498724376856,"endHours":6.521168003824586,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.67852223940643,"endHours":14.394257662964614,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.05719935719735,"endHours":17.45719935719735,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:42","startHours":17.25719935719735,"endHours":17.704533996921217,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":17.00719935719735,"endHours":18.75719935719735,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.531315968731874,"endHours":24.24705139229006,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:31","end":"07:52","startHours":6.521168003824586,"endHours":7.863171922996182,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:12","startHours":7.863171922996182,"endHours":9.205175842167778,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:33","startHours":9.205175842167778,"endHours":10.547179761339372,"quality":"auspicious"},{"name":"Kāla","start":"10:33","end":"11:53","startHours":10.547179761339372,"endHours":11.889183680510968,"quality":"inauspicious"},{"name":"Śubha","start":"11:53","end":"13:14","startHours":11.889183680510968,"endHours":13.231187599682563,"quality":"auspicious"},{"name":"Roga","start":"13:14","end":"14:34","startHours":13.231187599682563,"endHours":14.57319151885416,"quality":"inauspicious"},{"name":"Udveg","start":"14:34","end":"15:55","startHours":14.57319151885416,"endHours":15.915195438025755,"quality":"inauspicious"},{"name":"Chala","start":"15:55","end":"17:15","startHours":15.915195438025755,"endHours":17.25719935719735,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:15","end":"18:55","startHours":17.25719935719735,"endHours":18.915195438025755,"quality":"inauspicious"},{"name":"Udveg","start":"18:55","end":"20:34","startHours":18.915195438025755,"endHours":20.57319151885416,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"22:14","startHours":20.57319151885416,"endHours":22.231187599682563,"quality":"neutral"},{"name":"Labha","start":"22:14","end":"23:53","startHours":22.231187599682563,"endHours":23.889183680510968,"quality":"auspicious"},{"name":"Amṛta","start":"23:53","end":"01:33","startHours":23.889183680510968,"endHours":25.547179761339372,"quality":"auspicious"},{"name":"Kāla","start":"01:33","end":"03:12","startHours":25.547179761339372,"endHours":27.205175842167776,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:52","startHours":27.205175842167776,"endHours":28.86317192299618,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:31","startHours":28.86317192299618,"endHours":30.521168003824585,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.521168003824586,"endHours":7.521168003824586,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.521168003824586,"endHours":8.521168003824586,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.521168003824586,"endHours":9.521168003824586,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.521168003824586,"endHours":10.521168003824586,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.521168003824586,"endHours":11.521168003824586,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.521168003824586,"endHours":12.521168003824586,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.521168003824586,"endHours":13.521168003824586,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.521168003824586,"endHours":14.521168003824586,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.521168003824586,"endHours":15.521168003824586,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.521168003824586,"endHours":16.521168003824585,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.521168003824585,"endHours":17.521168003824585,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.521168003824585,"endHours":18.521168003824585,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.521168003824585,"endHours":19.521168003824585,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.521168003824585,"endHours":20.521168003824585,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.521168003824585,"endHours":21.521168003824585,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.521168003824585,"endHours":22.521168003824585,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.521168003824585,"endHours":23.521168003824585,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.521168003824585,"endHours":24.521168003824585,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.521168003824585,"endHours":25.521168003824585,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.521168003824585,"endHours":26.521168003824585,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.521168003824585,"endHours":27.521168003824585,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.521168003824585,"endHours":28.521168003824585,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.521168003824585,"endHours":29.521168003824585,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.521168003824585,"endHours":30.521168003824585,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-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":-22.85214231041107,"eotMinutes":-4.589420830658165,"ayanamsa":25.7808}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Saptamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"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 January 3, 2138 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 3, 2138 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 06:31, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2138-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2138-01-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2138-01-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2138-01-03","x-default":"https://vidhyamitra.com/city/ranchi/2138-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:15:10.856Z","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":"2026-05-31T23:15:10.856Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:15:10.856Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}