{"id":"vidhyamitra:city-day:ranchi:2015-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2015-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-04-20","date_display":"April 20, 2015 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":2015,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457132.770833,"kali_year":5117,"ahargana":1868667.2708,"sun":{"sidereal_longitude":5.668,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":23.25,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.582,"elapsed_within_tithi_degrees":5.582},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.25,"elapsed_within_degrees":9.9167},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.918},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2015,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457132.770833,"ahargana":1868667.2708,"kali_year":5117,"ayanamsa_lahiri":24.0667,"grahas":{"sun":{"sidereal_longitude":5.591016000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":22.62451600000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-2.5298},"mars":{"sidereal_longitude":19.87561599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":16.216615999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":107.94771600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":45.51211599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":219.58401600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":169.0153,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":349.0153,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2015,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457132.770833,"kali_year":5117,"ahargana":1868667.2708,"sun":{"sidereal_longitude":5.668,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":23.25,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.582,"elapsed_within_tithi_degrees":5.582},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.25,"elapsed_within_degrees":9.9167},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.918},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.53,"elongation":17.582},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.53,"opposition_distance":162.418}},"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":"05:24","sunsetLocal":"18:11","solarNoonLocal":"11:48","dayLengthHours":12.786582893377435,"dayLengthDisplay":"12 Hours 47 Mins 12 Secs","nightLengthDisplay":"11 Hours 12 Mins 48 Secs","moonriseLocal":"06:23","moonsetLocal":"19:29","rahuKala":{"name":"Rāhu Kāla","start":"07:00","end":"08:36","startHours":7.001595357222778,"endHours":8.599918218894956,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:12","end":"11:48","startHours":10.198241080567136,"endHours":11.796563942239317,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:24","end":"15:00","startHours":13.394886803911495,"endHours":14.993209665583674,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:49","startHours":8.386808504005334,"endHours":8.81302793378458,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:17","startHours":5.936046782774658,"endHours":6.277022326598056,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:13","startHours":11.370344512460068,"endHours":12.222783372018565,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:33","startHours":3.6983947764336067,"endHours":4.550833635992102,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:24","startHours":4.337723921102478,"endHours":5.403272495550598,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:47","startHours":13.927661091135555,"endHours":14.78009995069405,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.989855388928035,"endHours":18.389855388928034,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:43","startHours":18.189855388928034,"endHours":18.722629676152096,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.939855388928034,"endHours":19.689855388928034,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:13","startHours":23.37034451246007,"endHours":24.222783372018565,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:24","end":"07:00","startHours":5.403272495550598,"endHours":7.001595357222778,"quality":"auspicious"},{"name":"Kāla","start":"07:00","end":"08:36","startHours":7.001595357222778,"endHours":8.599918218894956,"quality":"inauspicious"},{"name":"Śubha","start":"08:36","end":"10:12","startHours":8.599918218894956,"endHours":10.198241080567136,"quality":"auspicious"},{"name":"Roga","start":"10:12","end":"11:48","startHours":10.198241080567136,"endHours":11.796563942239317,"quality":"inauspicious"},{"name":"Udveg","start":"11:48","end":"13:24","startHours":11.796563942239317,"endHours":13.394886803911495,"quality":"inauspicious"},{"name":"Chala","start":"13:24","end":"15:00","startHours":13.394886803911495,"endHours":14.993209665583674,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:35","startHours":14.993209665583674,"endHours":16.591532527255854,"quality":"auspicious"},{"name":"Amṛta","start":"16:35","end":"18:11","startHours":16.591532527255854,"endHours":18.189855388928034,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:11","end":"19:35","startHours":18.189855388928034,"endHours":19.591532527255854,"quality":"neutral"},{"name":"Labha","start":"19:35","end":"21:00","startHours":19.591532527255854,"endHours":20.993209665583677,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:24","startHours":20.993209665583677,"endHours":22.394886803911497,"quality":"auspicious"},{"name":"Kāla","start":"22:24","end":"23:48","startHours":22.394886803911497,"endHours":23.796563942239317,"quality":"inauspicious"},{"name":"Śubha","start":"23:48","end":"01:12","startHours":23.796563942239317,"endHours":25.198241080567136,"quality":"auspicious"},{"name":"Roga","start":"01:12","end":"02:36","startHours":25.198241080567136,"endHours":26.599918218894956,"quality":"inauspicious"},{"name":"Udveg","start":"02:36","end":"04:00","startHours":26.599918218894956,"endHours":28.00159535722278,"quality":"inauspicious"},{"name":"Chala","start":"04:00","end":"05:24","startHours":28.00159535722278,"endHours":29.4032724955506,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.403272495550598,"endHours":6.403272495550598,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.403272495550598,"endHours":7.403272495550598,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.403272495550598,"endHours":8.403272495550599,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.403272495550599,"endHours":9.403272495550599,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.403272495550599,"endHours":10.403272495550599,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.403272495550599,"endHours":11.403272495550599,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.403272495550599,"endHours":12.403272495550599,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.403272495550599,"endHours":13.403272495550599,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.403272495550599,"endHours":14.403272495550599,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.403272495550599,"endHours":15.403272495550599,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.403272495550599,"endHours":16.4032724955506,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.4032724955506,"endHours":17.4032724955506,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.4032724955506,"endHours":18.4032724955506,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.4032724955506,"endHours":19.4032724955506,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.4032724955506,"endHours":20.4032724955506,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.4032724955506,"endHours":21.4032724955506,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.4032724955506,"endHours":22.4032724955506,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.4032724955506,"endHours":23.4032724955506,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.4032724955506,"endHours":24.4032724955506,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.4032724955506,"endHours":25.4032724955506,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.4032724955506,"endHours":26.4032724955506,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.4032724955506,"endHours":27.4032724955506,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.4032724955506,"endHours":28.4032724955506,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.4032724955506,"endHours":29.4032724955506,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":11.350184667217999,"eotMinutes":0.9677634656409275,"ayanamsa":24.0667}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvitīyā · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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 April 20, 2015 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 20, 2015 CE for Ranchi, Jharkhand: Śukla Dvitīyā, sūryodaya 05:24, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2015-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2015-04-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2015-04-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2015-04-20","x-default":"https://vidhyamitra.com/city/ranchi/2015-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T13:07:14.873Z","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":"2026-05-15T13:07:14.873Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T13:07:14.873Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}