{"id":"vidhyamitra:city-day:ranchi:2001-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2001-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-05-15","date_display":"May 15, 2001 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":2001,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452044.770833,"kali_year":5103,"ahargana":1863579.2708,"sun":{"sidereal_longitude":30.3984,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":297.2522,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.8538,"elapsed_within_tithi_degrees":2.8538},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.2522,"elapsed_within_degrees":3.9189},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.6506},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2001,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452044.770833,"ahargana":1863579.2708,"kali_year":5103,"ayanamsa_lahiri":23.8721,"grahas":{"sun":{"sidereal_longitude":30.418515000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":296.25061500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-2.8088},"mars":{"sidereal_longitude":245.029315,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":51.114914999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":52.62931500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":347.390715,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":39.08391499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.6021,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.6021,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2001,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452044.770833,"kali_year":5103,"ahargana":1863579.2708,"sun":{"sidereal_longitude":30.3984,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":297.2522,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.8538,"elapsed_within_tithi_degrees":2.8538},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.2522,"elapsed_within_degrees":3.9189},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.6506},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.809,"elongation":93.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.809,"opposition_distance":86.854}},"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":"05:07","sunsetLocal":"18:23","solarNoonLocal":"11:45","dayLengthHours":13.258577232194256,"dayLengthDisplay":"13 Hours 15 Mins 31 Secs","nightLengthDisplay":"10 Hours 44 Mins 29 Secs","moonriseLocal":"23:52","moonsetLocal":"11:05","rahuKala":{"name":"Rāhu Kāla","start":"15:04","end":"16:43","startHours":15.064734292449796,"endHours":16.722056446474078,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:26","end":"10:06","startHours":8.435445676352668,"endHours":10.09276783037695,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:45","end":"13:24","startHours":11.750089984401232,"endHours":13.407412138425514,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:39","startHours":8.21446938914943,"endHours":8.656421963555905,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:02","startHours":5.6732420863121975,"endHours":6.026804145837378,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:12","startHours":11.308137409994757,"endHours":12.192042558807707,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:21","end":"04:14","startHours":3.352991070678203,"endHours":4.236896219491154,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:01","end":"05:07","startHours":4.015919932287916,"endHours":5.120801368304104,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:51","startHours":13.959852856433606,"endHours":14.843758005246556,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.17937860049836,"endHours":18.57937860049836,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.37937860049836,"endHours":18.931819318506452,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.12937860049836,"endHours":19.87937860049836,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:12","startHours":23.308137409994757,"endHours":24.192042558807707,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:07","end":"06:47","startHours":5.120801368304104,"endHours":6.778123522328386,"quality":"inauspicious"},{"name":"Udveg","start":"06:47","end":"08:26","startHours":6.778123522328386,"endHours":8.435445676352668,"quality":"inauspicious"},{"name":"Chala","start":"08:26","end":"10:06","startHours":8.435445676352668,"endHours":10.09276783037695,"quality":"neutral"},{"name":"Labha","start":"10:06","end":"11:45","startHours":10.09276783037695,"endHours":11.750089984401232,"quality":"auspicious"},{"name":"Amṛta","start":"11:45","end":"13:24","startHours":11.750089984401232,"endHours":13.407412138425514,"quality":"auspicious"},{"name":"Kāla","start":"13:24","end":"15:04","startHours":13.407412138425514,"endHours":15.064734292449796,"quality":"inauspicious"},{"name":"Śubha","start":"15:04","end":"16:43","startHours":15.064734292449796,"endHours":16.722056446474078,"quality":"auspicious"},{"name":"Roga","start":"16:43","end":"18:23","startHours":16.722056446474078,"endHours":18.37937860049836,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:43","startHours":18.37937860049836,"endHours":19.722056446474078,"quality":"inauspicious"},{"name":"Śubha","start":"19:43","end":"21:04","startHours":19.722056446474078,"endHours":21.064734292449796,"quality":"auspicious"},{"name":"Roga","start":"21:04","end":"22:24","startHours":21.064734292449796,"endHours":22.407412138425514,"quality":"inauspicious"},{"name":"Udveg","start":"22:24","end":"23:45","startHours":22.407412138425514,"endHours":23.75008998440123,"quality":"inauspicious"},{"name":"Chala","start":"23:45","end":"01:06","startHours":23.75008998440123,"endHours":25.09276783037695,"quality":"neutral"},{"name":"Labha","start":"01:06","end":"02:26","startHours":25.09276783037695,"endHours":26.435445676352668,"quality":"auspicious"},{"name":"Amṛta","start":"02:26","end":"03:47","startHours":26.435445676352668,"endHours":27.778123522328386,"quality":"auspicious"},{"name":"Kāla","start":"03:47","end":"05:07","startHours":27.778123522328386,"endHours":29.120801368304104,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.120801368304104,"endHours":6.120801368304104,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.120801368304104,"endHours":7.120801368304104,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.120801368304104,"endHours":8.120801368304104,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.120801368304104,"endHours":9.120801368304104,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.120801368304104,"endHours":10.120801368304104,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.120801368304104,"endHours":11.120801368304104,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.120801368304104,"endHours":12.120801368304104,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.120801368304104,"endHours":13.120801368304104,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.120801368304104,"endHours":14.120801368304104,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.120801368304104,"endHours":15.120801368304104,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.120801368304104,"endHours":16.120801368304104,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.120801368304104,"endHours":17.120801368304104,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.120801368304104,"endHours":18.120801368304104,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.120801368304104,"endHours":19.120801368304104,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.120801368304104,"endHours":20.120801368304104,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.120801368304104,"endHours":21.120801368304104,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.120801368304104,"endHours":22.120801368304104,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.120801368304104,"endHours":23.120801368304104,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.120801368304104,"endHours":24.120801368304104,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.120801368304104,"endHours":25.120801368304104,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.120801368304104,"endHours":26.120801368304104,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.120801368304104,"endHours":27.120801368304104,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.120801368304104,"endHours":28.120801368304104,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.120801368304104,"endHours":29.120801368304104,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.84166219185148,"eotMinutes":3.7562009359260493,"ayanamsa":23.8721}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"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 Aṣṭamī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 15, 2001 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 15, 2001 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 05:07, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2001-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2001-05-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2001-05-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2001-05-15","x-default":"https://vidhyamitra.com/city/ranchi/2001-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:47:53.913Z","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":"2026-05-31T01:47:53.913Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:47:53.913Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}