{"id":"vidhyamitra:city-day:dhanbad:2026-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dhanbad/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":"dhanbad","name":"Dhanbad, Jharkhand","lat":23.7957,"lon":86.4304,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"dhanbad","name":"Dhanbad, Jharkhand","lat":23.7957,"lon":86.4304,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:03","sunsetLocal":"18:18","solarNoonLocal":"11:41","dayLengthHours":13.250600876563738,"dayLengthDisplay":"13 Hours 15 Mins 02 Secs","nightLengthDisplay":"10 Hours 44 Mins 58 Secs","moonriseLocal":"02:11","moonsetLocal":"14:17","rahuKala":{"name":"Rāhu Kāla","start":"11:41","end":"13:20","startHours":11.675416020940727,"endHours":13.331741130511194,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:42","end":"08:22","startHours":6.706440692229326,"endHours":8.362765801799792,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:01","end":"11:41","startHours":10.01909091137026,"endHours":11.675416020940727,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:09","end":"08:35","startHours":8.141922453857063,"endHours":8.583609149742522,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:36","end":"05:57","startHours":5.602223952515681,"endHours":5.9555733092240475,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:14","end":"12:07","startHours":11.233729325055268,"endHours":12.117102716826185,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:17","end":"04:10","startHours":3.283368799117027,"endHours":4.166742190887943,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:57","end":"05:03","startHours":3.945898842945214,"endHours":5.050115582658859,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:46","startHours":13.883849500368015,"endHours":14.76722289213893,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.100716459222596,"endHours":18.500716459222595,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:51","startHours":18.300716459222595,"endHours":18.852824829079417,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.050716459222595,"endHours":19.800716459222595,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:14","end":"00:07","startHours":23.23372932505527,"endHours":24.117102716826185,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:03","end":"06:42","startHours":5.050115582658859,"endHours":6.706440692229326,"quality":"auspicious"},{"name":"Amṛta","start":"06:42","end":"08:22","startHours":6.706440692229326,"endHours":8.362765801799792,"quality":"auspicious"},{"name":"Kāla","start":"08:22","end":"10:01","startHours":8.362765801799792,"endHours":10.01909091137026,"quality":"inauspicious"},{"name":"Śubha","start":"10:01","end":"11:41","startHours":10.01909091137026,"endHours":11.675416020940727,"quality":"auspicious"},{"name":"Roga","start":"11:41","end":"13:20","startHours":11.675416020940727,"endHours":13.331741130511194,"quality":"inauspicious"},{"name":"Udveg","start":"13:20","end":"14:59","startHours":13.331741130511194,"endHours":14.988066240081661,"quality":"inauspicious"},{"name":"Chala","start":"14:59","end":"16:39","startHours":14.988066240081661,"endHours":16.64439134965213,"quality":"neutral"},{"name":"Labha","start":"16:39","end":"18:18","startHours":16.64439134965213,"endHours":18.300716459222595,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:18","end":"19:39","startHours":18.300716459222595,"endHours":19.64439134965213,"quality":"inauspicious"},{"name":"Chala","start":"19:39","end":"20:59","startHours":19.64439134965213,"endHours":20.98806624008166,"quality":"neutral"},{"name":"Labha","start":"20:59","end":"22:20","startHours":20.98806624008166,"endHours":22.331741130511194,"quality":"auspicious"},{"name":"Amṛta","start":"22:20","end":"23:41","startHours":22.331741130511194,"endHours":23.675416020940727,"quality":"auspicious"},{"name":"Kāla","start":"23:41","end":"01:01","startHours":23.675416020940727,"endHours":25.01909091137026,"quality":"inauspicious"},{"name":"Śubha","start":"01:01","end":"02:22","startHours":25.01909091137026,"endHours":26.362765801799792,"quality":"auspicious"},{"name":"Roga","start":"02:22","end":"03:42","startHours":26.362765801799792,"endHours":27.706440692229325,"quality":"inauspicious"},{"name":"Udveg","start":"03:42","end":"05:03","startHours":27.706440692229325,"endHours":29.050115582658858,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:03","end":"06:03","startHours":5.050115582658859,"endHours":6.050115582658859,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:03","end":"07:03","startHours":6.050115582658859,"endHours":7.050115582658859,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:03","end":"08:03","startHours":7.050115582658859,"endHours":8.050115582658858,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:03","end":"09:03","startHours":8.050115582658858,"endHours":9.050115582658858,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:03","end":"10:03","startHours":9.050115582658858,"endHours":10.050115582658858,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:03","end":"11:03","startHours":10.050115582658858,"endHours":11.050115582658858,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:03","end":"12:03","startHours":11.050115582658858,"endHours":12.050115582658858,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:03","end":"13:03","startHours":12.050115582658858,"endHours":13.050115582658858,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:03","end":"14:03","startHours":13.050115582658858,"endHours":14.050115582658858,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:03","end":"15:03","startHours":14.050115582658858,"endHours":15.050115582658858,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:03","end":"16:03","startHours":15.050115582658858,"endHours":16.050115582658858,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:03","end":"17:03","startHours":16.050115582658858,"endHours":17.050115582658858,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:03","end":"18:03","startHours":17.050115582658858,"endHours":18.050115582658858,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:03","end":"19:03","startHours":18.050115582658858,"endHours":19.050115582658858,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:03","end":"20:03","startHours":19.050115582658858,"endHours":20.050115582658858,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:03","end":"21:03","startHours":20.050115582658858,"endHours":21.050115582658858,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:03","end":"22:03","startHours":21.050115582658858,"endHours":22.050115582658858,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:03","end":"23:03","startHours":22.050115582658858,"endHours":23.050115582658858,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:03","end":"00:03","startHours":23.050115582658858,"endHours":24.050115582658858,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:03","end":"01:03","startHours":24.050115582658858,"endHours":25.050115582658858,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:03","end":"02:03","startHours":25.050115582658858,"endHours":26.050115582658858,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:03","end":"03:03","startHours":26.050115582658858,"endHours":27.050115582658858,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:03","end":"04:03","startHours":27.050115582658858,"endHours":28.050115582658858,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:03","end":"05:03","startHours":28.050115582658858,"endHours":29.050115582658858,"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":"dhanbad"},"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 · Dhanbad, Jharkhand · Vidhyamitra","description":"May 13, 2026 CE for Dhanbad, Jharkhand: Kṛṣṇa Ekādaśī, sūryodaya 05:03, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dhanbad/2026-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dhanbad/2026-05-13","sa":"https://sa.vidhyamitra.com/city/dhanbad/2026-05-13","hi":"https://hi.vidhyamitra.com/city/dhanbad/2026-05-13","x-default":"https://vidhyamitra.com/city/dhanbad/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":"2026-05-14T17:04:02.767Z","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":"2026-05-14T17:04:02.767Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:04:02.767Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}