{"id":"vidhyamitra:city-day:ranchi:2026-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2026-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-05-13","date_display":"May 13, 2026 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":2026,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461173.770833,"kali_year":5128,"ahargana":1872708.2708,"sun":{"sidereal_longitude":28.0308,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":338.2216,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.1908,"elapsed_within_tithi_degrees":10.1908},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.2216,"elapsed_within_degrees":4.8883},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.2524},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2026,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461173.770833,"ahargana":1872708.2708,"kali_year":5128,"ayanamsa_lahiri":24.2213,"grahas":{"sun":{"sidereal_longitude":28.095420999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":336.380021,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":1.7797},"mars":{"sidereal_longitude":0.9282210000000077,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":25.711021000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":86.33002099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":58.244321000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":346.306121,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":314.9037,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.9037,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2026,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461173.770833,"kali_year":5128,"ahargana":1872708.2708,"sun":{"sidereal_longitude":28.0308,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":338.2216,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.1908,"elapsed_within_tithi_degrees":10.1908},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.2216,"elapsed_within_degrees":4.8883},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.2524},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.78,"elongation":49.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.78,"opposition_distance":130.191}},"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":"05:08","sunsetLocal":"18:22","solarNoonLocal":"11:45","dayLengthHours":13.226071560295019,"dayLengthDisplay":"13 Hours 13 Mins 34 Secs","nightLengthDisplay":"10 Hours 46 Mins 26 Secs","moonriseLocal":"02:15","moonsetLocal":"14:21","rahuKala":{"name":"Rāhu Kāla","start":"11:45","end":"13:24","startHours":11.750136020940726,"endHours":13.403394965977604,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:47","end":"08:27","startHours":6.790359185830095,"endHours":8.443618130866973,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:06","end":"11:45","startHours":10.09687707590385,"endHours":11.750136020940726,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:40","startHours":8.223183604862054,"endHours":8.664052656871888,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:02","startHours":5.68818655580551,"endHours":6.040881797413377,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:11","startHours":11.309266968930892,"endHours":12.19100507295056,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:22","end":"04:15","startHours":3.373624032753882,"endHours":4.25536213677355,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:02","end":"05:08","startHours":4.034927610768633,"endHours":5.137100240793218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:50","startHours":13.954481280989896,"endHours":14.836219385009564,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.163171801088236,"endHours":18.563171801088235,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:55","startHours":18.363171801088235,"endHours":18.914258116100527,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.113171801088235,"endHours":19.863171801088235,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:11","startHours":23.309266968930892,"endHours":24.19100507295056,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:08","end":"06:47","startHours":5.137100240793218,"endHours":6.790359185830095,"quality":"auspicious"},{"name":"Amṛta","start":"06:47","end":"08:27","startHours":6.790359185830095,"endHours":8.443618130866973,"quality":"auspicious"},{"name":"Kāla","start":"08:27","end":"10:06","startHours":8.443618130866973,"endHours":10.09687707590385,"quality":"inauspicious"},{"name":"Śubha","start":"10:06","end":"11:45","startHours":10.09687707590385,"endHours":11.750136020940726,"quality":"auspicious"},{"name":"Roga","start":"11:45","end":"13:24","startHours":11.750136020940726,"endHours":13.403394965977604,"quality":"inauspicious"},{"name":"Udveg","start":"13:24","end":"15:03","startHours":13.403394965977604,"endHours":15.056653911014482,"quality":"inauspicious"},{"name":"Chala","start":"15:03","end":"16:43","startHours":15.056653911014482,"endHours":16.709912856051357,"quality":"neutral"},{"name":"Labha","start":"16:43","end":"18:22","startHours":16.709912856051357,"endHours":18.363171801088235,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:22","end":"19:43","startHours":18.363171801088235,"endHours":19.709912856051357,"quality":"inauspicious"},{"name":"Chala","start":"19:43","end":"21:03","startHours":19.709912856051357,"endHours":21.05665391101448,"quality":"neutral"},{"name":"Labha","start":"21:03","end":"22:24","startHours":21.05665391101448,"endHours":22.403394965977604,"quality":"auspicious"},{"name":"Amṛta","start":"22:24","end":"23:45","startHours":22.403394965977604,"endHours":23.750136020940726,"quality":"auspicious"},{"name":"Kāla","start":"23:45","end":"01:06","startHours":23.750136020940726,"endHours":25.096877075903848,"quality":"inauspicious"},{"name":"Śubha","start":"01:06","end":"02:27","startHours":25.096877075903848,"endHours":26.443618130866973,"quality":"auspicious"},{"name":"Roga","start":"02:27","end":"03:47","startHours":26.443618130866973,"endHours":27.790359185830095,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:08","startHours":27.790359185830095,"endHours":29.137100240793217,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.137100240793218,"endHours":6.137100240793218,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.137100240793218,"endHours":7.137100240793218,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.137100240793218,"endHours":8.137100240793217,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.137100240793217,"endHours":9.137100240793217,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.137100240793217,"endHours":10.137100240793217,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.137100240793217,"endHours":11.137100240793217,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.137100240793217,"endHours":12.137100240793217,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.137100240793217,"endHours":13.137100240793217,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.137100240793217,"endHours":14.137100240793217,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.137100240793217,"endHours":15.137100240793217,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.137100240793217,"endHours":16.137100240793217,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.137100240793217,"endHours":17.137100240793217,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.137100240793217,"endHours":18.137100240793217,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.137100240793217,"endHours":19.137100240793217,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.137100240793217,"endHours":20.137100240793217,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.137100240793217,"endHours":21.137100240793217,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.137100240793217,"endHours":22.137100240793217,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.137100240793217,"endHours":23.137100240793217,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.137100240793217,"endHours":24.137100240793217,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.137100240793217,"endHours":25.137100240793217,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.137100240793217,"endHours":26.137100240793217,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.137100240793217,"endHours":27.137100240793217,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.137100240793217,"endHours":28.137100240793217,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.137100240793217,"endHours":29.137100240793217,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.346703184470787,"eotMinutes":3.7534387435564067,"ayanamsa":24.2213}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ekādaśī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"varuthini-ekadashi","name":"Varūthinī Ekādaśī","name_sanskrit":"वरूथिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Vāmana","significance":"Granted to King Mandhātā by Vāmana-deva; brings sound sleep + wealth.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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 13, 2026 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 13, 2026 CE for Ranchi, Jharkhand: Kṛṣṇa Ekādaśī, sūryodaya 05:08, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2026-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2026-05-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2026-05-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2026-05-13","x-default":"https://vidhyamitra.com/city/ranchi/2026-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:33:38.399Z","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":"2026-05-14T16:33:38.399Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:33:38.399Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}