{"id":"vidhyamitra:city-day:ranchi:2000-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2000-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-05-31","date_display":"May 31, 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":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451695.770833,"kali_year":5102,"ahargana":1863230.2708,"sun":{"sidereal_longitude":45.9244,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":12.6215,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.6972,"elapsed_within_tithi_degrees":2.6972},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.6215,"elapsed_within_degrees":12.6215},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.5459},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451695.770833,"ahargana":1863230.2708,"kali_year":5102,"ayanamsa_lahiri":23.8588,"grahas":{"sun":{"sidereal_longitude":46.04644999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":12.08805000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":-4.479},"mars":{"sidereal_longitude":54.96764999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":67.52575000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":29.393250000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":42.965750000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":29.125049999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":97.0938,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.0938,"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":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451695.770833,"kali_year":5102,"ahargana":1863230.2708,"sun":{"sidereal_longitude":45.9244,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":12.6215,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.6972,"elapsed_within_tithi_degrees":2.6972},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.6215,"elapsed_within_degrees":12.6215},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.5459},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.479,"elongation":33.303},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.479,"opposition_distance":146.697}},"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":"05:02","sunsetLocal":"18:30","solarNoonLocal":"11:46","dayLengthHours":13.467002745808948,"dayLengthDisplay":"13 Hours 28 Mins 01 Secs","nightLengthDisplay":"10 Hours 31 Mins 59 Secs","moonriseLocal":"03:04","moonsetLocal":"15:57","rahuKala":{"name":"Rāhu Kāla","start":"11:46","end":"13:27","startHours":11.771033887364336,"endHours":13.454409230590453,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:43","end":"08:24","startHours":6.720907857685981,"endHours":8.4042832009121,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:05","end":"11:46","startHours":10.087658544138218,"endHours":11.771033887364336,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:11","end":"08:38","startHours":8.179833155148618,"endHours":8.628733246675582,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:36","end":"05:57","startHours":5.598657628868569,"endHours":5.957777702090141,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:13","startHours":11.32213379583737,"endHours":12.219933978891302,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:15","end":"04:08","startHours":3.241932148352003,"endHours":4.139732331405933,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:55","end":"05:02","startHours":3.9152822856424505,"endHours":5.037532514459863,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:55","startHours":14.01553434499916,"endHours":14.91333452805309,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.30453526026881,"endHours":18.70453526026881,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:04","startHours":18.50453526026881,"endHours":19.065660374677517,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.25453526026881,"endHours":20.00453526026881,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:13","startHours":23.32213379583737,"endHours":24.2199339788913,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:02","end":"06:43","startHours":5.037532514459863,"endHours":6.720907857685981,"quality":"auspicious"},{"name":"Amṛta","start":"06:43","end":"08:24","startHours":6.720907857685981,"endHours":8.4042832009121,"quality":"auspicious"},{"name":"Kāla","start":"08:24","end":"10:05","startHours":8.4042832009121,"endHours":10.087658544138218,"quality":"inauspicious"},{"name":"Śubha","start":"10:05","end":"11:46","startHours":10.087658544138218,"endHours":11.771033887364336,"quality":"auspicious"},{"name":"Roga","start":"11:46","end":"13:27","startHours":11.771033887364336,"endHours":13.454409230590453,"quality":"inauspicious"},{"name":"Udveg","start":"13:27","end":"15:08","startHours":13.454409230590453,"endHours":15.137784573816575,"quality":"inauspicious"},{"name":"Chala","start":"15:08","end":"16:49","startHours":15.137784573816575,"endHours":16.821159917042692,"quality":"neutral"},{"name":"Labha","start":"16:49","end":"18:30","startHours":16.821159917042692,"endHours":18.50453526026881,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:30","end":"19:49","startHours":18.50453526026881,"endHours":19.821159917042692,"quality":"inauspicious"},{"name":"Chala","start":"19:49","end":"21:08","startHours":19.821159917042692,"endHours":21.137784573816575,"quality":"neutral"},{"name":"Labha","start":"21:08","end":"22:27","startHours":21.137784573816575,"endHours":22.454409230590453,"quality":"auspicious"},{"name":"Amṛta","start":"22:27","end":"23:46","startHours":22.454409230590453,"endHours":23.771033887364336,"quality":"auspicious"},{"name":"Kāla","start":"23:46","end":"01:05","startHours":23.771033887364336,"endHours":25.08765854413822,"quality":"inauspicious"},{"name":"Śubha","start":"01:05","end":"02:24","startHours":25.08765854413822,"endHours":26.404283200912097,"quality":"auspicious"},{"name":"Roga","start":"02:24","end":"03:43","startHours":26.404283200912097,"endHours":27.72090785768598,"quality":"inauspicious"},{"name":"Udveg","start":"03:43","end":"05:02","startHours":27.72090785768598,"endHours":29.037532514459862,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:02","end":"06:02","startHours":5.037532514459863,"endHours":6.037532514459863,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:02","end":"07:02","startHours":6.037532514459863,"endHours":7.037532514459863,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:02","end":"08:02","startHours":7.037532514459863,"endHours":8.037532514459862,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:02","end":"09:02","startHours":8.037532514459862,"endHours":9.037532514459862,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:02","end":"10:02","startHours":9.037532514459862,"endHours":10.037532514459862,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:02","end":"11:02","startHours":10.037532514459862,"endHours":11.037532514459862,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:02","end":"12:02","startHours":11.037532514459862,"endHours":12.037532514459862,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:02","end":"13:02","startHours":12.037532514459862,"endHours":13.037532514459862,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:02","end":"14:02","startHours":13.037532514459862,"endHours":14.037532514459862,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:02","end":"15:02","startHours":14.037532514459862,"endHours":15.037532514459862,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:02","end":"16:02","startHours":15.037532514459862,"endHours":16.037532514459862,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:02","end":"17:02","startHours":16.037532514459862,"endHours":17.037532514459862,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:02","end":"18:02","startHours":17.037532514459862,"endHours":18.037532514459862,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:02","end":"19:02","startHours":18.037532514459862,"endHours":19.037532514459862,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:02","end":"20:02","startHours":19.037532514459862,"endHours":20.037532514459862,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:02","end":"21:02","startHours":20.037532514459862,"endHours":21.037532514459862,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:02","end":"22:02","startHours":21.037532514459862,"endHours":22.037532514459862,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:02","end":"23:02","startHours":22.037532514459862,"endHours":23.037532514459862,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:02","end":"00:02","startHours":23.037532514459862,"endHours":24.037532514459862,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:02","end":"01:02","startHours":24.037532514459862,"endHours":25.037532514459862,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:02","end":"02:02","startHours":25.037532514459862,"endHours":26.037532514459862,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:02","end":"03:02","startHours":26.037532514459862,"endHours":27.037532514459862,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:02","end":"04:02","startHours":27.037532514459862,"endHours":28.037532514459862,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:02","end":"05:02","startHours":28.037532514459862,"endHours":29.037532514459862,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.932918157573766,"eotMinutes":2.4995667581397525,"ayanamsa":23.8588}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 31, 2000 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 31, 2000 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:02, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2000-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2000-05-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2000-05-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2000-05-31","x-default":"https://vidhyamitra.com/city/ranchi/2000-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T12:21:07.098Z","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":"2026-05-17T12:21:07.098Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T12:21:07.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}