{"id":"vidhyamitra:city-day:ranchi:2155-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2155-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2155-05-20","date_display":"May 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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508296.770833,"kali_year":5257,"ahargana":1919831.2708,"sun":{"sidereal_longitude":32.4593,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":251.0669,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.6076,"elapsed_within_tithi_degrees":2.6076},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.0669,"elapsed_within_degrees":11.0669},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.5261},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508296.770833,"ahargana":1919831.2708,"kali_year":5257,"ayanamsa_lahiri":26.0235,"grahas":{"sun":{"sidereal_longitude":32.856674999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":254.21067500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-4.494},"mars":{"sidereal_longitude":145.80737499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":5.123874999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":45.230975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":17.408974999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":123.334675,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":338.1004,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":158.1004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508296.770833,"kali_year":5257,"ahargana":1919831.2708,"sun":{"sidereal_longitude":32.4593,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":251.0669,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.6076,"elapsed_within_tithi_degrees":2.6076},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.0669,"elapsed_within_degrees":11.0669},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.5261},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.494,"elongation":141.392},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.494,"opposition_distance":38.608}},"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":"05:05","sunsetLocal":"18:25","solarNoonLocal":"11:45","dayLengthHours":13.329314361895861,"dayLengthDisplay":"13 Hours 19 Mins 46 Secs","nightLengthDisplay":"10 Hours 40 Mins 14 Secs","moonriseLocal":"21:10","moonsetLocal":"07:51","rahuKala":{"name":"Rāhu Kāla","start":"15:05","end":"16:45","startHours":15.085050040204212,"endHours":16.751214335441194,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:25","end":"10:05","startHours":8.420392859256282,"endHours":10.086557154493264,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:45","end":"13:25","startHours":11.752721449730245,"endHours":13.418885744967227,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:12","end":"08:39","startHours":8.19823761989135,"endHours":8.642548098621212,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:39","end":"06:00","startHours":5.6434523671946435,"endHours":5.998900750178533,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.308410971000383,"endHours":12.197031928460108,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:19","end":"04:12","startHours":3.310822353862868,"endHours":4.199443311322591,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:05","startHours":3.977288071957661,"endHours":5.088064268782316,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:52","startHours":13.974273843379557,"endHours":14.86289480083928,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.217378630678176,"endHours":18.617378630678175,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:58","startHours":18.417378630678176,"endHours":18.9727667290905,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.167378630678176,"endHours":19.917378630678176,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.308410971000384,"endHours":24.197031928460106,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:05","end":"06:45","startHours":5.088064268782316,"endHours":6.754228564019298,"quality":"inauspicious"},{"name":"Udveg","start":"06:45","end":"08:25","startHours":6.754228564019298,"endHours":8.420392859256282,"quality":"inauspicious"},{"name":"Chala","start":"08:25","end":"10:05","startHours":8.420392859256282,"endHours":10.086557154493264,"quality":"neutral"},{"name":"Labha","start":"10:05","end":"11:45","startHours":10.086557154493264,"endHours":11.752721449730245,"quality":"auspicious"},{"name":"Amṛta","start":"11:45","end":"13:25","startHours":11.752721449730245,"endHours":13.418885744967227,"quality":"auspicious"},{"name":"Kāla","start":"13:25","end":"15:05","startHours":13.418885744967227,"endHours":15.085050040204212,"quality":"inauspicious"},{"name":"Śubha","start":"15:05","end":"16:45","startHours":15.085050040204212,"endHours":16.751214335441194,"quality":"auspicious"},{"name":"Roga","start":"16:45","end":"18:25","startHours":16.751214335441194,"endHours":18.417378630678176,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:25","end":"19:45","startHours":18.417378630678176,"endHours":19.751214335441194,"quality":"inauspicious"},{"name":"Śubha","start":"19:45","end":"21:05","startHours":19.751214335441194,"endHours":21.08505004020421,"quality":"auspicious"},{"name":"Roga","start":"21:05","end":"22:25","startHours":21.08505004020421,"endHours":22.418885744967227,"quality":"inauspicious"},{"name":"Udveg","start":"22:25","end":"23:45","startHours":22.418885744967227,"endHours":23.752721449730245,"quality":"inauspicious"},{"name":"Chala","start":"23:45","end":"01:05","startHours":23.752721449730245,"endHours":25.086557154493264,"quality":"neutral"},{"name":"Labha","start":"01:05","end":"02:25","startHours":25.086557154493264,"endHours":26.420392859256282,"quality":"auspicious"},{"name":"Amṛta","start":"02:25","end":"03:45","startHours":26.420392859256282,"endHours":27.754228564019296,"quality":"auspicious"},{"name":"Kāla","start":"03:45","end":"05:05","startHours":27.754228564019296,"endHours":29.088064268782315,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:05","end":"06:05","startHours":5.088064268782316,"endHours":6.088064268782316,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:05","end":"07:05","startHours":6.088064268782316,"endHours":7.088064268782316,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:05","end":"08:05","startHours":7.088064268782316,"endHours":8.088064268782315,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:05","end":"09:05","startHours":8.088064268782315,"endHours":9.088064268782315,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:05","end":"10:05","startHours":9.088064268782315,"endHours":10.088064268782315,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:05","end":"11:05","startHours":10.088064268782315,"endHours":11.088064268782315,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:05","end":"12:05","startHours":11.088064268782315,"endHours":12.088064268782315,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:05","end":"13:05","startHours":12.088064268782315,"endHours":13.088064268782315,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:05","end":"14:05","startHours":13.088064268782315,"endHours":14.088064268782315,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:05","end":"15:05","startHours":14.088064268782315,"endHours":15.088064268782315,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:05","end":"16:05","startHours":15.088064268782315,"endHours":16.088064268782315,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:05","end":"17:05","startHours":16.088064268782315,"endHours":17.088064268782315,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:05","end":"18:05","startHours":17.088064268782315,"endHours":18.088064268782315,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:05","end":"19:05","startHours":18.088064268782315,"endHours":19.088064268782315,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:05","end":"20:05","startHours":19.088064268782315,"endHours":20.088064268782315,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:05","end":"21:05","startHours":20.088064268782315,"endHours":21.088064268782315,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:05","end":"22:05","startHours":21.088064268782315,"endHours":22.088064268782315,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:05","end":"23:05","startHours":22.088064268782315,"endHours":23.088064268782315,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:05","end":"00:05","startHours":23.088064268782315,"endHours":24.088064268782315,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:05","end":"01:05","startHours":24.088064268782315,"endHours":25.088064268782315,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:05","end":"02:05","startHours":25.088064268782315,"endHours":26.088064268782315,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:05","end":"03:05","startHours":26.088064268782315,"endHours":27.088064268782315,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:05","end":"04:05","startHours":27.088064268782315,"endHours":28.088064268782315,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:05","end":"05:05","startHours":28.088064268782315,"endHours":29.088064268782315,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.906980727184678,"eotMinutes":3.5983130161851964,"ayanamsa":26.0235}},"calendars":{"vikram_samvat":2212,"vikram_samvatsara":"Vibhava","saka_samvat":2077,"saka_samvatsara":"Rākṣasa","bengali_samvat":1562,"malayalam_era":1331,"nanakshahi_year":686,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Caturthī · Vikram 2212 Vibhava · Śaka 2077 Rākṣasa"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 May 20, 2155 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 20, 2155 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 05:05, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2155-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2155-05-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2155-05-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2155-05-20","x-default":"https://vidhyamitra.com/city/ranchi/2155-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:30:51.877Z","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":"2026-06-01T09:30:51.877Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:30:51.877Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}