{"id":"vidhyamitra:city-day:ranchi:2138-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2138-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-01-10","date_display":"January 10, 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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501957.770833,"kali_year":5239,"ahargana":1913492.2708,"sun":{"sidereal_longitude":263.3227,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":244.59,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.2673,"elapsed_within_tithi_degrees":5.2673},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.59,"elapsed_within_degrees":4.59},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.9127},"karana":{"half_tithi_index":56,"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":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501957.770833,"ahargana":1913492.2708,"kali_year":5239,"ayanamsa_lahiri":25.7811,"grahas":{"sun":{"sidereal_longitude":263.819972,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":244.81487200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-4.2112},"mars":{"sidereal_longitude":142.48017200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":256.55747199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":237.001572,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":271.12237200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":269.020072,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":313.9711,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.9711,"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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501957.770833,"kali_year":5239,"ahargana":1913492.2708,"sun":{"sidereal_longitude":263.3227,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":244.59,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.2673,"elapsed_within_tithi_degrees":5.2673},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.59,"elapsed_within_degrees":4.59},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.9127},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.211,"elongation":18.733},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.211,"opposition_distance":161.267}},"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":"17:20","solarNoonLocal":"11:56","dayLengthHours":10.793044292280818,"dayLengthDisplay":"10 Hours 47 Mins 35 Secs","nightLengthDisplay":"13 Hours 12 Mins 25 Secs","moonriseLocal":"05:21","moonsetLocal":"16:00","rahuKala":{"name":"Rāhu Kāla","start":"10:35","end":"11:56","startHours":10.588551527207665,"endHours":11.937682063742766,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:38","end":"15:59","startHours":14.635943136812973,"endHours":15.985073673348072,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:53","end":"09:14","startHours":7.89029045413746,"endHours":9.239420990672564,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.05953691913455,"endHours":9.419305062210576,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.990870096447392,"endHours":7.278684610908214,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:18","startHours":11.57791392066674,"endHours":12.297450206818793,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.102087345298249,"endHours":5.821623631450303,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:32","startHours":5.64173955991229,"endHours":6.541159917602358,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:27","startHours":13.736522779122904,"endHours":14.456059065274959,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.134204209883176,"endHours":17.534204209883175,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:47","startHours":17.334204209883175,"endHours":17.78391438872821,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.084204209883175,"endHours":18.834204209883175,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:18","startHours":23.577913920666738,"endHours":24.297450206818795,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:53","startHours":6.541159917602358,"endHours":7.89029045413746,"quality":"neutral"},{"name":"Labha","start":"07:53","end":"09:14","startHours":7.89029045413746,"endHours":9.239420990672564,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:35","startHours":9.239420990672564,"endHours":10.588551527207665,"quality":"auspicious"},{"name":"Kāla","start":"10:35","end":"11:56","startHours":10.588551527207665,"endHours":11.937682063742766,"quality":"inauspicious"},{"name":"Śubha","start":"11:56","end":"13:17","startHours":11.937682063742766,"endHours":13.28681260027787,"quality":"auspicious"},{"name":"Roga","start":"13:17","end":"14:38","startHours":13.28681260027787,"endHours":14.635943136812973,"quality":"inauspicious"},{"name":"Udveg","start":"14:38","end":"15:59","startHours":14.635943136812973,"endHours":15.985073673348072,"quality":"inauspicious"},{"name":"Chala","start":"15:59","end":"17:20","startHours":15.985073673348072,"endHours":17.334204209883175,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:20","end":"18:59","startHours":17.334204209883175,"endHours":18.985073673348072,"quality":"inauspicious"},{"name":"Udveg","start":"18:59","end":"20:38","startHours":18.985073673348072,"endHours":20.63594313681297,"quality":"inauspicious"},{"name":"Chala","start":"20:38","end":"22:17","startHours":20.63594313681297,"endHours":22.28681260027787,"quality":"neutral"},{"name":"Labha","start":"22:17","end":"23:56","startHours":22.28681260027787,"endHours":23.937682063742766,"quality":"auspicious"},{"name":"Amṛta","start":"23:56","end":"01:35","startHours":23.937682063742766,"endHours":25.588551527207663,"quality":"auspicious"},{"name":"Kāla","start":"01:35","end":"03:14","startHours":25.588551527207663,"endHours":27.239420990672564,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:53","startHours":27.239420990672564,"endHours":28.89029045413746,"quality":"auspicious"},{"name":"Roga","start":"04:53","end":"06:32","startHours":28.89029045413746,"endHours":30.541159917602357,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.541159917602358,"endHours":7.541159917602358,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.541159917602358,"endHours":8.541159917602357,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.541159917602357,"endHours":9.541159917602357,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.541159917602357,"endHours":10.541159917602357,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.541159917602357,"endHours":11.541159917602357,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.541159917602357,"endHours":12.541159917602357,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.541159917602357,"endHours":13.541159917602357,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.541159917602357,"endHours":14.541159917602357,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.541159917602357,"endHours":15.541159917602357,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.541159917602357,"endHours":16.541159917602357,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.541159917602357,"endHours":17.541159917602357,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.541159917602357,"endHours":18.541159917602357,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.541159917602357,"endHours":19.541159917602357,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.541159917602357,"endHours":20.541159917602357,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.541159917602357,"endHours":21.541159917602357,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.541159917602357,"endHours":22.541159917602357,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.541159917602357,"endHours":23.541159917602357,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.541159917602357,"endHours":24.541159917602357,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.541159917602357,"endHours":25.541159917602357,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.541159917602357,"endHours":26.541159917602357,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.541159917602357,"endHours":27.541159917602357,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.541159917602357,"endHours":28.541159917602357,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.541159917602357,"endHours":29.541159917602357,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.541159917602357,"endHours":30.541159917602357,"planetary_lord":"Mars"}],"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":"South-East","anandadiYoga":{"name":"Chatra","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":-22.004804031626684,"eotMinutes":-7.499323824565993,"ayanamsa":25.7811}},"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 Caturdaśī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"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":"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 10, 2138 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 10, 2138 CE for Ranchi, Jharkhand: Kṛṣṇa Caturdaśī, sūryodaya 06:32, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2138-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2138-01-10","sa":"https://sa.vidhyamitra.com/city/ranchi/2138-01-10","hi":"https://hi.vidhyamitra.com/city/ranchi/2138-01-10","x-default":"https://vidhyamitra.com/city/ranchi/2138-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:08:28.650Z","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":"2026-06-01T00:08:28.650Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:08:28.650Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}