{"id":"vidhyamitra:city-day:ranchi:2075-01-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2075-01-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-26","date_display":"January 26, 2075 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":2075,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478963.770833,"kali_year":5176,"ahargana":1890498.2708,"sun":{"sidereal_longitude":281.0813,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":31.6855,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":110.6042,"elapsed_within_tithi_degrees":2.6042},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.6855,"elapsed_within_degrees":5.0188},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.7667},"karana":{"half_tithi_index":18,"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":2075,"month":1,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478963.770833,"ahargana":1890498.2708,"kali_year":5176,"ayanamsa_lahiri":24.9017,"grahas":{"sun":{"sidereal_longitude":281.28901199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":33.95531199999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-3.9202},"mars":{"sidereal_longitude":289.517512,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":263.1427120000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":137.10351200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":236.54361199999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":229.91771199999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":92.3039,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.3039,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478963.770833,"kali_year":5176,"ahargana":1890498.2708,"sun":{"sidereal_longitude":281.0813,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":31.6855,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":110.6042,"elapsed_within_tithi_degrees":2.6042},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.6855,"elapsed_within_degrees":5.0188},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.7667},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.92,"elongation":110.604},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.92,"opposition_distance":69.396}},"eclipse_window_40days":[{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":1.053,"opposition_distance":1.686}]},"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":11.007477020998424,"dayLengthDisplay":"11 Hours 00 Mins 27 Secs","nightLengthDisplay":"12 Hours 59 Mins 33 Secs","moonriseLocal":"12:53","moonsetLocal":"02:11","rahuKala":{"name":"Rāhu Kāla","start":"09:16","end":"10:39","startHours":9.269870502310903,"endHours":10.645805129935706,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:24","end":"14:46","startHours":13.397674385185312,"endHours":14.773609012810116,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:31","end":"07:54","startHours":6.518001247061298,"endHours":7.8939358746861,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.08641255196093,"endHours":9.453328452660877,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.9766461229362315,"endHours":7.27017884349619,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:23","startHours":11.654823856860563,"endHours":12.388655658260458,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:47","startHours":5.050337644261508,"endHours":5.784169445661402,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:31","startHours":5.600711495311429,"endHours":6.518001247061298,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:35","startHours":13.856319261060246,"endHours":14.59015106246014,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.325478268059722,"endHours":17.72547826805972,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:59","startHours":17.52547826805972,"endHours":17.984123143934656,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.27547826805972,"endHours":19.02547826805972,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:23","startHours":23.654823856860563,"endHours":24.388655658260458,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:31","end":"07:54","startHours":6.518001247061298,"endHours":7.8939358746861,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:16","startHours":7.8939358746861,"endHours":9.269870502310903,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:39","startHours":9.269870502310903,"endHours":10.645805129935706,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:01","startHours":10.645805129935706,"endHours":12.02173975756051,"quality":"inauspicious"},{"name":"Chala","start":"12:01","end":"13:24","startHours":12.02173975756051,"endHours":13.397674385185312,"quality":"neutral"},{"name":"Labha","start":"13:24","end":"14:46","startHours":13.397674385185312,"endHours":14.773609012810116,"quality":"auspicious"},{"name":"Amṛta","start":"14:46","end":"16:09","startHours":14.773609012810116,"endHours":16.14954364043492,"quality":"auspicious"},{"name":"Kāla","start":"16:09","end":"17:32","startHours":16.14954364043492,"endHours":17.52547826805972,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:32","end":"19:09","startHours":17.52547826805972,"endHours":19.149543640434917,"quality":"auspicious"},{"name":"Amṛta","start":"19:09","end":"20:46","startHours":19.149543640434917,"endHours":20.773609012810116,"quality":"auspicious"},{"name":"Kāla","start":"20:46","end":"22:24","startHours":20.773609012810116,"endHours":22.39767438518531,"quality":"inauspicious"},{"name":"Śubha","start":"22:24","end":"00:01","startHours":22.39767438518531,"endHours":24.02173975756051,"quality":"auspicious"},{"name":"Roga","start":"00:01","end":"01:39","startHours":24.02173975756051,"endHours":25.645805129935706,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:16","startHours":25.645805129935706,"endHours":27.2698705023109,"quality":"inauspicious"},{"name":"Chala","start":"03:16","end":"04:54","startHours":27.2698705023109,"endHours":28.8939358746861,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:31","startHours":28.8939358746861,"endHours":30.5180012470613,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.518001247061298,"endHours":7.518001247061298,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.518001247061298,"endHours":8.518001247061298,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.518001247061298,"endHours":9.518001247061298,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.518001247061298,"endHours":10.518001247061298,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.518001247061298,"endHours":11.518001247061298,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.518001247061298,"endHours":12.518001247061298,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.518001247061298,"endHours":13.518001247061298,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.518001247061298,"endHours":14.518001247061298,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.518001247061298,"endHours":15.518001247061298,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.518001247061298,"endHours":16.5180012470613,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.5180012470613,"endHours":17.5180012470613,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.5180012470613,"endHours":18.5180012470613,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.5180012470613,"endHours":19.5180012470613,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.5180012470613,"endHours":20.5180012470613,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.5180012470613,"endHours":21.5180012470613,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.5180012470613,"endHours":22.5180012470613,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.5180012470613,"endHours":23.5180012470613,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.5180012470613,"endHours":24.5180012470613,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.5180012470613,"endHours":25.5180012470613,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.5180012470613,"endHours":26.5180012470613,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.5180012470613,"endHours":27.5180012470613,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.5180012470613,"endHours":28.5180012470613,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.5180012470613,"endHours":29.5180012470613,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.5180012470613,"endHours":30.5180012470613,"planetary_lord":"Mercury"}],"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","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":-18.72295079839461,"eotMinutes":-12.542785453630707,"ayanamsa":24.9017}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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 Daśamī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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, 2075 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 26, 2075 CE for Ranchi, Jharkhand: Śukla Daśamī, sūryodaya 06:31, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2075-01-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2075-01-26","sa":"https://sa.vidhyamitra.com/city/ranchi/2075-01-26","hi":"https://hi.vidhyamitra.com/city/ranchi/2075-01-26","x-default":"https://vidhyamitra.com/city/ranchi/2075-01-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:42:20.870Z","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":"2026-05-31T20:42:20.870Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:42:20.870Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}