{"id":"vidhyamitra:city-day:ranchi:2086-04-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2086-04-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-04-01","date_display":"April 1, 2086 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":2086,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483046.770833,"kali_year":5187,"ahargana":1894581.2708,"sun":{"sidereal_longitude":346.6998,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":188.1599,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.4601,"elapsed_within_tithi_degrees":9.4601},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.1599,"elapsed_within_degrees":1.4932},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.8597},"karana":{"half_tithi_index":33,"name":"Gara"},"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":2086,"month":4,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483046.770833,"ahargana":1894581.2708,"kali_year":5187,"ayanamsa_lahiri":25.0578,"grahas":{"sun":{"sidereal_longitude":346.731711,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":186.30271100000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-3.3324},"mars":{"sidereal_longitude":301.335411,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":320.40731099999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":102.06121100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":301.209511,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":353.328311,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":235.9669,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":55.9669,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2086,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483046.770833,"kali_year":5187,"ahargana":1894581.2708,"sun":{"sidereal_longitude":346.6998,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":188.1599,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.4601,"elapsed_within_tithi_degrees":9.4601},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.1599,"elapsed_within_degrees":1.4932},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.8597},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.332,"elongation":158.54},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.332,"opposition_distance":21.46}},"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":"05:41","sunsetLocal":"18:05","solarNoonLocal":"11:53","dayLengthHours":12.390353404116059,"dayLengthDisplay":"12 Hours 23 Mins 25 Secs","nightLengthDisplay":"11 Hours 36 Mins 35 Secs","moonriseLocal":"19:30","moonsetLocal":"06:53","rahuKala":{"name":"Rāhu Kāla","start":"07:14","end":"08:47","startHours":7.238715741809001,"endHours":8.787509917323508,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:20","end":"11:53","startHours":10.336304092838017,"endHours":11.885098268352523,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:26","end":"14:59","startHours":13.43389244386703,"endHours":14.98268661938154,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:00","startHours":8.581004027254908,"endHours":8.99401580739211,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:32","startHours":6.206186291465997,"endHours":6.536595715575759,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:18","startHours":11.472086488215322,"endHours":12.298110048489725,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:52","startHours":4.037874445745686,"endHours":4.86389800602009,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:41","startHours":4.657392115951489,"endHours":5.689921566294494,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:47","startHours":13.950157169038533,"endHours":14.776180729312937,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.880274970410554,"endHours":18.280274970410552,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:36","startHours":18.080274970410553,"endHours":18.596539695582056,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.830274970410553,"endHours":19.580274970410553,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:18","startHours":23.472086488215318,"endHours":24.298110048489725,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:14","startHours":5.689921566294494,"endHours":7.238715741809001,"quality":"auspicious"},{"name":"Kāla","start":"07:14","end":"08:47","startHours":7.238715741809001,"endHours":8.787509917323508,"quality":"inauspicious"},{"name":"Śubha","start":"08:47","end":"10:20","startHours":8.787509917323508,"endHours":10.336304092838017,"quality":"auspicious"},{"name":"Roga","start":"10:20","end":"11:53","startHours":10.336304092838017,"endHours":11.885098268352523,"quality":"inauspicious"},{"name":"Udveg","start":"11:53","end":"13:26","startHours":11.885098268352523,"endHours":13.43389244386703,"quality":"inauspicious"},{"name":"Chala","start":"13:26","end":"14:59","startHours":13.43389244386703,"endHours":14.98268661938154,"quality":"neutral"},{"name":"Labha","start":"14:59","end":"16:32","startHours":14.98268661938154,"endHours":16.531480794896048,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"18:05","startHours":16.531480794896048,"endHours":18.080274970410553,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:32","startHours":18.080274970410553,"endHours":19.531480794896044,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"20:59","startHours":19.531480794896044,"endHours":20.98268661938154,"quality":"auspicious"},{"name":"Amṛta","start":"20:59","end":"22:26","startHours":20.98268661938154,"endHours":22.43389244386703,"quality":"auspicious"},{"name":"Kāla","start":"22:26","end":"23:53","startHours":22.43389244386703,"endHours":23.88509826835252,"quality":"inauspicious"},{"name":"Śubha","start":"23:53","end":"01:20","startHours":23.88509826835252,"endHours":25.336304092838017,"quality":"auspicious"},{"name":"Roga","start":"01:20","end":"02:47","startHours":25.336304092838017,"endHours":26.787509917323508,"quality":"inauspicious"},{"name":"Udveg","start":"02:47","end":"04:14","startHours":26.787509917323508,"endHours":28.238715741809003,"quality":"inauspicious"},{"name":"Chala","start":"04:14","end":"05:41","startHours":28.238715741809003,"endHours":29.689921566294494,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.689921566294494,"endHours":6.689921566294494,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.689921566294494,"endHours":7.689921566294494,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.689921566294494,"endHours":8.689921566294494,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.689921566294494,"endHours":9.689921566294494,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.689921566294494,"endHours":10.689921566294494,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.689921566294494,"endHours":11.689921566294494,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.689921566294494,"endHours":12.689921566294494,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.689921566294494,"endHours":13.689921566294494,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.689921566294494,"endHours":14.689921566294494,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.689921566294494,"endHours":15.689921566294494,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.689921566294494,"endHours":16.689921566294494,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.689921566294494,"endHours":17.689921566294494,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.689921566294494,"endHours":18.689921566294494,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.689921566294494,"endHours":19.689921566294494,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.689921566294494,"endHours":20.689921566294494,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.689921566294494,"endHours":21.689921566294494,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.689921566294494,"endHours":22.689921566294494,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.689921566294494,"endHours":23.689921566294494,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.689921566294494,"endHours":24.689921566294494,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.689921566294494,"endHours":25.689921566294494,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.689921566294494,"endHours":26.689921566294494,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.689921566294494,"endHours":27.689921566294494,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.689921566294494,"endHours":28.689921566294494,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.689921566294494,"endHours":29.689921566294494,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.661192190865442,"eotMinutes":-4.344296101151456,"ayanamsa":25.0578}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra (Adhika) Kṛṣṇa Dvitīyā · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"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 April 1, 2086 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 1, 2086 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 05:41, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2086-04-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2086-04-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2086-04-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2086-04-01","x-default":"https://vidhyamitra.com/city/ranchi/2086-04-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:43:00.063Z","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":"2026-06-01T10:43:00.063Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:43:00.063Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}