{"id":"vidhyamitra:city-day:ranchi:2159-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2159-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-05-13","date_display":"May 13, 2159 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":2159,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509750.770833,"kali_year":5261,"ahargana":1921285.2708,"sun":{"sidereal_longitude":25.7125,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":325.8631,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.1507,"elapsed_within_tithi_degrees":0.1507},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.8631,"elapsed_within_degrees":5.8631},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.5756},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2159,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509750.770833,"ahargana":1921285.2708,"kali_year":5261,"ayanamsa_lahiri":26.0792,"grahas":{"sun":{"sidereal_longitude":26.076722000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":324.1933220000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":4.0711},"mars":{"sidereal_longitude":248.10952199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":43.74672199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":157.19122199999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":68.30102199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.56292199999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":261.0605,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":81.0605,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2159,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509750.770833,"kali_year":5261,"ahargana":1921285.2708,"sun":{"sidereal_longitude":25.7125,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":325.8631,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.1507,"elapsed_within_tithi_degrees":0.1507},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.8631,"elapsed_within_degrees":5.8631},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.5756},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.071,"elongation":59.849},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.071,"opposition_distance":120.151}},"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":13.22337186676298,"dayLengthDisplay":"13 Hours 13 Mins 24 Secs","nightLengthDisplay":"10 Hours 46 Mins 36 Secs","moonriseLocal":"01:42","moonsetLocal":"13:33","rahuKala":{"name":"Rāhu Kāla","start":"16:43","end":"18:22","startHours":16.708900470976843,"endHours":18.361821954322217,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:45","end":"13:24","startHours":11.750136020940726,"endHours":13.4030575042861,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:03","end":"16:43","startHours":15.055978987631471,"endHours":16.708900470976843,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:40","startHours":8.223903523137265,"endHours":8.664682585362698,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:03","startHours":5.6894239153410275,"endHours":6.042047165121374,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:11","startHours":11.309356958715293,"endHours":12.190915083166159,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:15","startHours":3.3753338386575065,"endHours":4.256891963108371,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:02","end":"05:08","startHours":4.036502431995656,"endHours":5.138450087559237,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:50","startHours":13.95403133206789,"endHours":14.835589456518756,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.161821954322217,"endHours":18.561821954322216,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:55","startHours":18.361821954322217,"endHours":18.91279578210401,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.111821954322217,"endHours":19.861821954322217,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:11","startHours":23.309356958715295,"endHours":24.190915083166157,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:08","end":"06:47","startHours":5.138450087559237,"endHours":6.79137157090461,"quality":"inauspicious"},{"name":"Chala","start":"06:47","end":"08:27","startHours":6.79137157090461,"endHours":8.444293054249982,"quality":"neutral"},{"name":"Labha","start":"08:27","end":"10:06","startHours":8.444293054249982,"endHours":10.097214537595354,"quality":"auspicious"},{"name":"Amṛta","start":"10:06","end":"11:45","startHours":10.097214537595354,"endHours":11.750136020940726,"quality":"auspicious"},{"name":"Kāla","start":"11:45","end":"13:24","startHours":11.750136020940726,"endHours":13.4030575042861,"quality":"inauspicious"},{"name":"Śubha","start":"13:24","end":"15:03","startHours":13.4030575042861,"endHours":15.055978987631471,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:43","startHours":15.055978987631471,"endHours":16.708900470976843,"quality":"inauspicious"},{"name":"Udveg","start":"16:43","end":"18:22","startHours":16.708900470976843,"endHours":18.361821954322217,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:22","end":"19:43","startHours":18.361821954322217,"endHours":19.708900470976843,"quality":"auspicious"},{"name":"Roga","start":"19:43","end":"21:03","startHours":19.708900470976843,"endHours":21.055978987631473,"quality":"inauspicious"},{"name":"Udveg","start":"21:03","end":"22:24","startHours":21.055978987631473,"endHours":22.4030575042861,"quality":"inauspicious"},{"name":"Chala","start":"22:24","end":"23:45","startHours":22.4030575042861,"endHours":23.750136020940726,"quality":"neutral"},{"name":"Labha","start":"23:45","end":"01:06","startHours":23.750136020940726,"endHours":25.097214537595356,"quality":"auspicious"},{"name":"Amṛta","start":"01:06","end":"02:27","startHours":25.097214537595356,"endHours":26.444293054249982,"quality":"auspicious"},{"name":"Kāla","start":"02:27","end":"03:47","startHours":26.444293054249982,"endHours":27.79137157090461,"quality":"inauspicious"},{"name":"Śubha","start":"03:47","end":"05:08","startHours":27.79137157090461,"endHours":29.138450087559235,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.138450087559237,"endHours":6.138450087559237,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.138450087559237,"endHours":7.138450087559237,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.138450087559237,"endHours":8.138450087559237,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.138450087559237,"endHours":9.138450087559237,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.138450087559237,"endHours":10.138450087559237,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.138450087559237,"endHours":11.138450087559237,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.138450087559237,"endHours":12.138450087559237,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.138450087559237,"endHours":13.138450087559237,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.138450087559237,"endHours":14.138450087559237,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.138450087559237,"endHours":15.138450087559237,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.138450087559237,"endHours":16.138450087559235,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.138450087559235,"endHours":17.138450087559235,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.138450087559235,"endHours":18.138450087559235,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.138450087559235,"endHours":19.138450087559235,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.138450087559235,"endHours":20.138450087559235,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.138450087559235,"endHours":21.138450087559235,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.138450087559235,"endHours":22.138450087559235,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.138450087559235,"endHours":23.138450087559235,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.138450087559235,"endHours":24.138450087559235,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.138450087559235,"endHours":25.138450087559235,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.138450087559235,"endHours":26.138450087559235,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.138450087559235,"endHours":27.138450087559235,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.138450087559235,"endHours":28.138450087559235,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.138450087559235,"endHours":29.138450087559235,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.305444228475498,"eotMinutes":3.7534387435564067,"ayanamsa":26.0792}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ekādaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"apara-ekadashi","name":"Aparā Ekādaśī","name_sanskrit":"अपरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Boundless (aparā) merit; removes brahma-hatyā even.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2159 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 13, 2159 CE for Ranchi, Jharkhand: Kṛṣṇa Ekādaśī, sūryodaya 05:08, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2159-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2159-05-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2159-05-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2159-05-13","x-default":"https://vidhyamitra.com/city/ranchi/2159-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T08:05:03.578Z","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":"2026-05-30T08:05:03.578Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T08:05:03.578Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}