{"id":"vidhyamitra:city-day:ranchi:2159-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2159-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-05-15","date_display":"May 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509752.770833,"kali_year":5261,"ahargana":1921287.2708,"sun":{"sidereal_longitude":27.6329,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":351.8379,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.2049,"elapsed_within_tithi_degrees":0.2049},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.8379,"elapsed_within_degrees":5.1712},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.4708},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2159,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509752.770833,"ahargana":1921287.2708,"kali_year":5261,"ayanamsa_lahiri":26.0792,"grahas":{"sun":{"sidereal_longitude":28.009145999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":351.594846,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":4.4995},"mars":{"sidereal_longitude":248.26124600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":46.63854600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":157.08344599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":69.889746,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.44094599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":260.9545,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.9545,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509752.770833,"kali_year":5261,"ahargana":1921287.2708,"sun":{"sidereal_longitude":27.6329,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":351.8379,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.2049,"elapsed_within_tithi_degrees":0.2049},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.8379,"elapsed_within_degrees":5.1712},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.4708},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":35.795},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":144.205}},"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":13.25530131350451,"dayLengthDisplay":"13 Hours 15 Mins 19 Secs","nightLengthDisplay":"10 Hours 44 Mins 41 Secs","moonriseLocal":"03:05","moonsetLocal":"15:34","rahuKala":{"name":"Rāhu Kāla","start":"15:04","end":"16:43","startHours":15.063915312777358,"endHours":16.720827976965424,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:26","end":"10:06","startHours":8.436264656025102,"endHours":10.093177320213167,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:45","end":"13:24","startHours":11.750089984401232,"endHours":13.407002648589295,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:39","startHours":8.215342967466695,"endHours":8.657186344583511,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:02","startHours":5.6747435490449964,"endHours":6.02821825073845,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:12","startHours":11.308246607284415,"endHours":12.191933361518048,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:21","end":"04:14","startHours":3.355065819181707,"endHours":4.238752573415342,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:01","end":"05:07","startHours":4.017830884856933,"endHours":5.1224393276489755,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:51","startHours":13.959306869985316,"endHours":14.84299362421895,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.177740641153488,"endHours":18.577740641153486,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.377740641153487,"endHours":18.930044862549508,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.127740641153487,"endHours":19.877740641153487,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:12","startHours":23.308246607284413,"endHours":24.19193336151805,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:07","end":"06:47","startHours":5.1224393276489755,"endHours":6.779351991837039,"quality":"inauspicious"},{"name":"Udveg","start":"06:47","end":"08:26","startHours":6.779351991837039,"endHours":8.436264656025102,"quality":"inauspicious"},{"name":"Chala","start":"08:26","end":"10:06","startHours":8.436264656025102,"endHours":10.093177320213167,"quality":"neutral"},{"name":"Labha","start":"10:06","end":"11:45","startHours":10.093177320213167,"endHours":11.750089984401232,"quality":"auspicious"},{"name":"Amṛta","start":"11:45","end":"13:24","startHours":11.750089984401232,"endHours":13.407002648589295,"quality":"auspicious"},{"name":"Kāla","start":"13:24","end":"15:04","startHours":13.407002648589295,"endHours":15.063915312777358,"quality":"inauspicious"},{"name":"Śubha","start":"15:04","end":"16:43","startHours":15.063915312777358,"endHours":16.720827976965424,"quality":"auspicious"},{"name":"Roga","start":"16:43","end":"18:23","startHours":16.720827976965424,"endHours":18.377740641153487,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:43","startHours":18.377740641153487,"endHours":19.720827976965424,"quality":"inauspicious"},{"name":"Śubha","start":"19:43","end":"21:04","startHours":19.720827976965424,"endHours":21.06391531277736,"quality":"auspicious"},{"name":"Roga","start":"21:04","end":"22:24","startHours":21.06391531277736,"endHours":22.407002648589295,"quality":"inauspicious"},{"name":"Udveg","start":"22:24","end":"23:45","startHours":22.407002648589295,"endHours":23.75008998440123,"quality":"inauspicious"},{"name":"Chala","start":"23:45","end":"01:06","startHours":23.75008998440123,"endHours":25.09317732021317,"quality":"neutral"},{"name":"Labha","start":"01:06","end":"02:26","startHours":25.09317732021317,"endHours":26.436264656025102,"quality":"auspicious"},{"name":"Amṛta","start":"02:26","end":"03:47","startHours":26.436264656025102,"endHours":27.77935199183704,"quality":"auspicious"},{"name":"Kāla","start":"03:47","end":"05:07","startHours":27.77935199183704,"endHours":29.122439327648976,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.1224393276489755,"endHours":6.1224393276489755,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.1224393276489755,"endHours":7.1224393276489755,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.1224393276489755,"endHours":8.122439327648976,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.122439327648976,"endHours":9.122439327648976,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.122439327648976,"endHours":10.122439327648976,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.122439327648976,"endHours":11.122439327648976,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.122439327648976,"endHours":12.122439327648976,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.122439327648976,"endHours":13.122439327648976,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.122439327648976,"endHours":14.122439327648976,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.122439327648976,"endHours":15.122439327648976,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.122439327648976,"endHours":16.122439327648976,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.122439327648976,"endHours":17.122439327648976,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.122439327648976,"endHours":18.122439327648976,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.122439327648976,"endHours":19.122439327648976,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.122439327648976,"endHours":20.122439327648976,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.122439327648976,"endHours":21.122439327648976,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.122439327648976,"endHours":22.122439327648976,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.122439327648976,"endHours":23.122439327648976,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.122439327648976,"endHours":24.122439327648976,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.122439327648976,"endHours":25.122439327648976,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.122439327648976,"endHours":26.122439327648976,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.122439327648976,"endHours":27.122439327648976,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.122439327648976,"endHours":28.122439327648976,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.122439327648976,"endHours":29.122439327648976,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.791933229380597,"eotMinutes":3.7562009359260493,"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 Trayodaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"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":"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":[]},"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, 2159 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 15, 2159 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:07, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2159-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2159-05-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2159-05-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2159-05-15","x-default":"https://vidhyamitra.com/city/ranchi/2159-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T04:59:50.498Z","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":"2026-05-30T04:59:50.498Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T04:59:50.498Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}