{"id":"vidhyamitra:city-day:ranchi:2002-04-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2002-04-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-04-04","date_display":"April 4, 2002 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":2002,"month":4,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452368.770833,"kali_year":5103,"ahargana":1863903.2708,"sun":{"sidereal_longitude":350.3775,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":250.3856,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":260.008,"elapsed_within_tithi_degrees":8.008},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.3856,"elapsed_within_degrees":10.3856},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.7631},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2002,"month":4,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452368.770833,"ahargana":1863903.2708,"kali_year":5103,"ayanamsa_lahiri":23.8845,"grahas":{"sun":{"sidereal_longitude":350.220836,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":253.113336,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-0.6994},"mars":{"sidereal_longitude":29.479835999999978,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":346.556536,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":73.40043600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":9.523735999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":46.72563600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":61.435,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":241.435,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2002,"month":4,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452368.770833,"kali_year":5103,"ahargana":1863903.2708,"sun":{"sidereal_longitude":350.3775,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":250.3856,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":260.008,"elapsed_within_tithi_degrees":8.008},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.3856,"elapsed_within_degrees":10.3856},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.7631},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.699,"elongation":99.992},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.699,"opposition_distance":80.008}},"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":"05:39","sunsetLocal":"18:05","solarNoonLocal":"11:52","dayLengthHours":12.442876953692416,"dayLengthDisplay":"12 Hours 26 Mins 34 Secs","nightLengthDisplay":"11 Hours 33 Mins 26 Secs","moonriseLocal":"00:04","moonsetLocal":"10:44","rahuKala":{"name":"Rāhu Kāla","start":"13:25","end":"14:59","startHours":13.424780004193721,"endHours":14.980139623405272,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:39","end":"07:12","startHours":5.647981908135961,"endHours":7.203341527347513,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:46","end":"10:19","startHours":8.758701146559066,"endHours":10.314060765770616,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"08:58","startHours":8.551319863997524,"endHours":8.966082429120604,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:30","startHours":6.166435114539811,"endHours":6.4982451666382754,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:17","startHours":11.454657819859088,"endHours":12.284182950105249,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:49","startHours":3.9889316476436387,"endHours":4.8184567778898,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:39","startHours":4.61107549532826,"endHours":5.647981908135961,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:46","startHours":13.94323321059757,"endHours":14.772758340843732,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.890858861828377,"endHours":18.290858861828376,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:37","startHours":18.090858861828377,"endHours":18.609312068232228,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.840858861828377,"endHours":19.590858861828377,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:17","startHours":23.45465781985909,"endHours":24.28418295010525,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:39","end":"07:12","startHours":5.647981908135961,"endHours":7.203341527347513,"quality":"auspicious"},{"name":"Roga","start":"07:12","end":"08:46","startHours":7.203341527347513,"endHours":8.758701146559066,"quality":"inauspicious"},{"name":"Udveg","start":"08:46","end":"10:19","startHours":8.758701146559066,"endHours":10.314060765770616,"quality":"inauspicious"},{"name":"Chala","start":"10:19","end":"11:52","startHours":10.314060765770616,"endHours":11.869420384982169,"quality":"neutral"},{"name":"Labha","start":"11:52","end":"13:25","startHours":11.869420384982169,"endHours":13.424780004193721,"quality":"auspicious"},{"name":"Amṛta","start":"13:25","end":"14:59","startHours":13.424780004193721,"endHours":14.980139623405272,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:32","startHours":14.980139623405272,"endHours":16.535499242616822,"quality":"inauspicious"},{"name":"Śubha","start":"16:32","end":"18:05","startHours":16.535499242616822,"endHours":18.090858861828377,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:05","end":"19:32","startHours":18.090858861828377,"endHours":19.535499242616826,"quality":"auspicious"},{"name":"Kāla","start":"19:32","end":"20:59","startHours":19.535499242616826,"endHours":20.98013962340527,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:25","startHours":20.98013962340527,"endHours":22.42478000419372,"quality":"auspicious"},{"name":"Roga","start":"22:25","end":"23:52","startHours":22.42478000419372,"endHours":23.86942038498217,"quality":"inauspicious"},{"name":"Udveg","start":"23:52","end":"01:19","startHours":23.86942038498217,"endHours":25.314060765770616,"quality":"inauspicious"},{"name":"Chala","start":"01:19","end":"02:46","startHours":25.314060765770616,"endHours":26.758701146559066,"quality":"neutral"},{"name":"Labha","start":"02:46","end":"04:12","startHours":26.758701146559066,"endHours":28.20334152734751,"quality":"auspicious"},{"name":"Amṛta","start":"04:12","end":"05:39","startHours":28.20334152734751,"endHours":29.64798190813596,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.647981908135961,"endHours":6.647981908135961,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.647981908135961,"endHours":7.647981908135961,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.647981908135961,"endHours":8.64798190813596,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.64798190813596,"endHours":9.64798190813596,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.64798190813596,"endHours":10.64798190813596,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.64798190813596,"endHours":11.64798190813596,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.64798190813596,"endHours":12.64798190813596,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.64798190813596,"endHours":13.64798190813596,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.64798190813596,"endHours":14.64798190813596,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.64798190813596,"endHours":15.64798190813596,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.64798190813596,"endHours":16.64798190813596,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.64798190813596,"endHours":17.64798190813596,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.64798190813596,"endHours":18.64798190813596,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.64798190813596,"endHours":19.64798190813596,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.64798190813596,"endHours":20.64798190813596,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.64798190813596,"endHours":21.64798190813596,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.64798190813596,"endHours":22.64798190813596,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.64798190813596,"endHours":23.64798190813596,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.64798190813596,"endHours":24.64798190813596,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.64798190813596,"endHours":25.64798190813596,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.64798190813596,"endHours":26.64798190813596,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.64798190813596,"endHours":27.64798190813596,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.64798190813596,"endHours":28.64798190813596,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.64798190813596,"endHours":29.64798190813596,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"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":5.562385951717018,"eotMinutes":-3.4036230989301703,"ayanamsa":23.8845}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Saptamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"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 4, 2002 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 4, 2002 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 05:39, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2002-04-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2002-04-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2002-04-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2002-04-04","x-default":"https://vidhyamitra.com/city/ranchi/2002-04-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T12:29:00.942Z","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":"2026-05-17T12:29:00.942Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T12:29:00.942Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}