{"id":"vidhyamitra:city-day:ranchi:2155-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2155-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2155-01-20","date_display":"January 20, 2155 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":2155,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508176.770833,"kali_year":5256,"ahargana":1919711.2708,"sun":{"sidereal_longitude":273.1852,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":109.1171,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.9319,"elapsed_within_tithi_degrees":3.9319},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.1171,"elapsed_within_degrees":2.4505},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.3023},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2155,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508176.770833,"ahargana":1919711.2708,"kali_year":5256,"ayanamsa_lahiri":26.019,"grahas":{"sun":{"sidereal_longitude":273.6404600000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":108.29356000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":3.7003},"mars":{"sidereal_longitude":160.36846000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":247.44696,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":27.59136000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":230.75266,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":128.97616,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":344.4586,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":164.4586,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2155,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508176.770833,"kali_year":5256,"ahargana":1919711.2708,"sun":{"sidereal_longitude":273.1852,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":109.1171,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.9319,"elapsed_within_tithi_degrees":3.9319},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.1171,"elapsed_within_degrees":2.4505},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.3023},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.7,"elongation":164.068},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.7,"opposition_distance":15.932}},"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":10.910857627922164,"dayLengthDisplay":"10 Hours 54 Mins 39 Secs","nightLengthDisplay":"13 Hours 05 Mins 21 Secs","moonriseLocal":"18:26","moonsetLocal":"07:30","rahuKala":{"name":"Rāhu Kāla","start":"07:54","end":"09:16","startHours":7.903860111816342,"endHours":9.267717315306612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:00","startHours":10.631574518796883,"endHours":11.995431722287154,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:22","end":"14:43","startHours":13.359288925777424,"endHours":14.723146129267695,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.085869688174576,"endHours":9.449564942438649,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.994621976156162,"endHours":7.28557817956742,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.631736468023082,"endHours":12.359126976551227,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.085221891269783,"endHours":5.812612399797928,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.630764772665891,"endHours":6.540002908326072,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:32","startHours":13.813907993607515,"endHours":14.541298502135659,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.250860536248236,"endHours":17.650860536248235,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:54","startHours":17.450860536248236,"endHours":17.905479604078327,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.200860536248236,"endHours":18.950860536248236,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.63173646802308,"endHours":24.359126976551227,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:32","end":"07:54","startHours":6.540002908326072,"endHours":7.903860111816342,"quality":"auspicious"},{"name":"Kāla","start":"07:54","end":"09:16","startHours":7.903860111816342,"endHours":9.267717315306612,"quality":"inauspicious"},{"name":"Śubha","start":"09:16","end":"10:38","startHours":9.267717315306612,"endHours":10.631574518796883,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:00","startHours":10.631574518796883,"endHours":11.995431722287154,"quality":"inauspicious"},{"name":"Udveg","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.359288925777424,"quality":"inauspicious"},{"name":"Chala","start":"13:22","end":"14:43","startHours":13.359288925777424,"endHours":14.723146129267695,"quality":"neutral"},{"name":"Labha","start":"14:43","end":"16:05","startHours":14.723146129267695,"endHours":16.087003332757966,"quality":"auspicious"},{"name":"Amṛta","start":"16:05","end":"17:27","startHours":16.087003332757966,"endHours":17.450860536248236,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:27","end":"19:05","startHours":17.450860536248236,"endHours":19.087003332757966,"quality":"neutral"},{"name":"Labha","start":"19:05","end":"20:43","startHours":19.087003332757966,"endHours":20.723146129267693,"quality":"auspicious"},{"name":"Amṛta","start":"20:43","end":"22:22","startHours":20.723146129267693,"endHours":22.359288925777424,"quality":"auspicious"},{"name":"Kāla","start":"22:22","end":"00:00","startHours":22.359288925777424,"endHours":23.995431722287154,"quality":"inauspicious"},{"name":"Śubha","start":"00:00","end":"01:38","startHours":23.995431722287154,"endHours":25.63157451879688,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:16","startHours":25.63157451879688,"endHours":27.267717315306612,"quality":"inauspicious"},{"name":"Udveg","start":"03:16","end":"04:54","startHours":27.267717315306612,"endHours":28.903860111816343,"quality":"inauspicious"},{"name":"Chala","start":"04:54","end":"06:32","startHours":28.903860111816343,"endHours":30.540002908326073,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.540002908326072,"endHours":7.540002908326072,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.540002908326072,"endHours":8.540002908326072,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.540002908326072,"endHours":9.540002908326072,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.540002908326072,"endHours":10.540002908326072,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.540002908326072,"endHours":11.540002908326072,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.540002908326072,"endHours":12.540002908326072,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.540002908326072,"endHours":13.540002908326072,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.540002908326072,"endHours":14.540002908326072,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.540002908326072,"endHours":15.540002908326072,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.540002908326072,"endHours":16.540002908326073,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.540002908326073,"endHours":17.540002908326073,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.540002908326073,"endHours":18.540002908326073,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.540002908326073,"endHours":19.540002908326073,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.540002908326073,"endHours":20.540002908326073,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.540002908326073,"endHours":21.540002908326073,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.540002908326073,"endHours":22.540002908326073,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.540002908326073,"endHours":23.540002908326073,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.540002908326073,"endHours":24.540002908326073,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.540002908326073,"endHours":25.540002908326073,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.540002908326073,"endHours":26.540002908326073,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.540002908326073,"endHours":27.540002908326073,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.540002908326073,"endHours":28.540002908326073,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.540002908326073,"endHours":29.540002908326073,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.540002908326073,"endHours":30.540002908326073,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.219787567757194,"eotMinutes":-10.9643033372293,"ayanamsa":26.019}},"calendars":{"vikram_samvat":2212,"vikram_samvatsara":"Vibhava","saka_samvat":2077,"saka_samvatsara":"Rākṣasa","bengali_samvat":1562,"malayalam_era":1331,"nanakshahi_year":686,"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 Dvitīyā · Vikram 2212 Vibhava · Śaka 2077 Rākṣasa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2155 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 20, 2155 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 06:32, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2155-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2155-01-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2155-01-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2155-01-20","x-default":"https://vidhyamitra.com/city/ranchi/2155-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:00:46.880Z","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":"2026-05-31T11:00:46.880Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:00:46.880Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}