{"id":"vidhyamitra:city-day:ranchi:2000-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2000-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-04-13","date_display":"April 13, 2000 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":2000,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451647.770833,"kali_year":5101,"ahargana":1863182.2708,"sun":{"sidereal_longitude":359.7041,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":108.4401,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.736,"elapsed_within_tithi_degrees":0.736},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.4401,"elapsed_within_degrees":1.7735},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.1442},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2000,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451647.770833,"ahargana":1863182.2708,"kali_year":5101,"ayanamsa_lahiri":23.8569,"grahas":{"sun":{"sidereal_longitude":359.569684,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":108.75348400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":0.688},"mars":{"sidereal_longitude":21.392683999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":336.1254839999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":18.06418400000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":343.911084,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":23.026483999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":99.637,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":279.637,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2000,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451647.770833,"kali_year":5101,"ahargana":1863182.2708,"sun":{"sidereal_longitude":359.7041,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":108.4401,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.736,"elapsed_within_tithi_degrees":0.736},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.4401,"elapsed_within_degrees":1.7735},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.1442},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.688,"elongation":108.736},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.688,"opposition_distance":71.264}},"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":"05:30","sunsetLocal":"18:09","solarNoonLocal":"11:50","dayLengthHours":12.651290897145678,"dayLengthDisplay":"12 Hours 39 Mins 05 Secs","nightLengthDisplay":"11 Hours 20 Mins 55 Secs","moonriseLocal":"12:33","moonsetLocal":"01:39","rahuKala":{"name":"Rāhu Kāla","start":"13:24","end":"14:59","startHours":13.406934875971615,"endHours":14.988346238114824,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:30","end":"07:05","startHours":5.499878065255565,"endHours":7.081289427398775,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:40","end":"10:15","startHours":8.662700789541985,"endHours":10.244112151685194,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.451845941256224,"endHours":8.873555637827746,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:22","startHours":6.027015185969969,"endHours":6.364382943227187,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:24","end":"12:15","startHours":11.403813817256882,"endHours":12.247233210399926,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:39","startHours":3.813039278969475,"endHours":4.65645867211252,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:30","startHours":4.445603823826758,"endHours":5.499878065255565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:47","startHours":13.934071996686018,"endHours":14.777491389829065,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.951168962401244,"endHours":18.351168962401243,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:41","startHours":18.151168962401243,"endHours":18.678306083115647,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.901168962401243,"endHours":19.651168962401243,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:24","end":"00:15","startHours":23.403813817256882,"endHours":24.247233210399926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:30","end":"07:05","startHours":5.499878065255565,"endHours":7.081289427398775,"quality":"auspicious"},{"name":"Roga","start":"07:05","end":"08:40","startHours":7.081289427398775,"endHours":8.662700789541985,"quality":"inauspicious"},{"name":"Udveg","start":"08:40","end":"10:15","startHours":8.662700789541985,"endHours":10.244112151685194,"quality":"inauspicious"},{"name":"Chala","start":"10:15","end":"11:50","startHours":10.244112151685194,"endHours":11.825523513828404,"quality":"neutral"},{"name":"Labha","start":"11:50","end":"13:24","startHours":11.825523513828404,"endHours":13.406934875971615,"quality":"auspicious"},{"name":"Amṛta","start":"13:24","end":"14:59","startHours":13.406934875971615,"endHours":14.988346238114824,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:34","startHours":14.988346238114824,"endHours":16.569757600258033,"quality":"inauspicious"},{"name":"Śubha","start":"16:34","end":"18:09","startHours":16.569757600258033,"endHours":18.151168962401243,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:09","end":"19:34","startHours":18.151168962401243,"endHours":19.569757600258033,"quality":"auspicious"},{"name":"Kāla","start":"19:34","end":"20:59","startHours":19.569757600258033,"endHours":20.988346238114822,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:24","startHours":20.988346238114822,"endHours":22.406934875971615,"quality":"auspicious"},{"name":"Roga","start":"22:24","end":"23:50","startHours":22.406934875971615,"endHours":23.825523513828404,"quality":"inauspicious"},{"name":"Udveg","start":"23:50","end":"01:15","startHours":23.825523513828404,"endHours":25.244112151685194,"quality":"inauspicious"},{"name":"Chala","start":"01:15","end":"02:40","startHours":25.244112151685194,"endHours":26.662700789541987,"quality":"neutral"},{"name":"Labha","start":"02:40","end":"04:05","startHours":26.662700789541987,"endHours":28.081289427398776,"quality":"auspicious"},{"name":"Amṛta","start":"04:05","end":"05:30","startHours":28.081289427398776,"endHours":29.499878065255565,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.499878065255565,"endHours":6.499878065255565,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.499878065255565,"endHours":7.499878065255565,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.499878065255565,"endHours":8.499878065255565,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.499878065255565,"endHours":9.499878065255565,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.499878065255565,"endHours":10.499878065255565,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.499878065255565,"endHours":11.499878065255565,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.499878065255565,"endHours":12.499878065255565,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.499878065255565,"endHours":13.499878065255565,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.499878065255565,"endHours":14.499878065255565,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.499878065255565,"endHours":15.499878065255565,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.499878065255565,"endHours":16.499878065255565,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.499878065255565,"endHours":17.499878065255565,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.499878065255565,"endHours":18.499878065255565,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.499878065255565,"endHours":19.499878065255565,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.499878065255565,"endHours":20.499878065255565,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.499878065255565,"endHours":21.499878065255565,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.499878065255565,"endHours":22.499878065255565,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.499878065255565,"endHours":23.499878065255565,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.499878065255565,"endHours":24.499878065255565,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.499878065255565,"endHours":25.499878065255565,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.499878065255565,"endHours":26.499878065255565,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.499878065255565,"endHours":27.499878065255565,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.499878065255565,"endHours":28.499878065255565,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.499878065255565,"endHours":29.499878065255565,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.098252575305922,"eotMinutes":-0.7698108297043191,"ayanamsa":23.8569}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Daśamī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2000 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 13, 2000 CE for Ranchi, Jharkhand: Śukla Daśamī, sūryodaya 05:30, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2000-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2000-04-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2000-04-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2000-04-13","x-default":"https://vidhyamitra.com/city/ranchi/2000-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T02:15:10.098Z","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":"2026-05-23T02:15:10.098Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T02:15:10.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}