{"id":"vidhyamitra:city-day:ranchi:2030-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2030-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2030-05-13","date_display":"May 13, 2030 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":2030,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462634.770833,"kali_year":5132,"ahargana":1874169.2708,"sun":{"sidereal_longitude":27.9972,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":149.6119,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":121.6147,"elapsed_within_tithi_degrees":1.6147},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":149.6119,"elapsed_within_degrees":2.9452},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.6091},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2030,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462634.770833,"ahargana":1874169.2708,"kali_year":5132,"ayanamsa_lahiri":24.2771,"grahas":{"sun":{"sidereal_longitude":28.07170000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":146.96620000000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-4.4969},"mars":{"sidereal_longitude":30.801199999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":4.134500000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":208.62339999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":347.6947,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":33.182799999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":237.4929,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":57.4929,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"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":2030,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462634.770833,"kali_year":5132,"ahargana":1874169.2708,"sun":{"sidereal_longitude":27.9972,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":149.6119,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":121.6147,"elapsed_within_tithi_degrees":1.6147},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":149.6119,"elapsed_within_degrees":2.9452},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.6091},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.497,"elongation":121.615},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.497,"opposition_distance":58.385}},"eclipse_window_40days":[{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":0.934,"elongation":1.649}]},"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":13.226609228764481,"dayLengthDisplay":"13 Hours 13 Mins 36 Secs","nightLengthDisplay":"10 Hours 46 Mins 24 Secs","moonriseLocal":"13:32","moonsetLocal":"01:49","rahuKala":{"name":"Rāhu Kāla","start":"06:47","end":"08:27","startHours":6.790157560154046,"endHours":8.443483713749606,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:06","end":"11:45","startHours":10.096809867345165,"endHours":11.750136020940726,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:24","end":"15:03","startHours":13.403462174536287,"endHours":15.056788328131846,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:40","startHours":8.22304022660353,"endHours":8.66392720089568,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:02","startHours":5.6879401244236725,"endHours":6.040649703857392,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:11","startHours":11.309249046648576,"endHours":12.191022995232876,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:22","end":"04:15","startHours":3.3732835093898883,"endHours":4.255057457974186,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:02","end":"05:08","startHours":4.034613970828112,"endHours":5.1368314065584855,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:50","startHours":13.954570892401472,"endHours":14.83634484098577,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.163440635322967,"endHours":18.563440635322966,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:55","startHours":18.363440635322966,"endHours":18.914549353188153,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.113440635322966,"endHours":19.863440635322966,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:11","startHours":23.309249046648578,"endHours":24.191022995232874,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:08","end":"06:47","startHours":5.1368314065584855,"endHours":6.790157560154046,"quality":"auspicious"},{"name":"Kāla","start":"06:47","end":"08:27","startHours":6.790157560154046,"endHours":8.443483713749606,"quality":"inauspicious"},{"name":"Śubha","start":"08:27","end":"10:06","startHours":8.443483713749606,"endHours":10.096809867345165,"quality":"auspicious"},{"name":"Roga","start":"10:06","end":"11:45","startHours":10.096809867345165,"endHours":11.750136020940726,"quality":"inauspicious"},{"name":"Udveg","start":"11:45","end":"13:24","startHours":11.750136020940726,"endHours":13.403462174536287,"quality":"inauspicious"},{"name":"Chala","start":"13:24","end":"15:03","startHours":13.403462174536287,"endHours":15.056788328131846,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:43","startHours":15.056788328131846,"endHours":16.710114481727405,"quality":"auspicious"},{"name":"Amṛta","start":"16:43","end":"18:22","startHours":16.710114481727405,"endHours":18.363440635322966,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:22","end":"19:43","startHours":18.363440635322966,"endHours":19.710114481727405,"quality":"neutral"},{"name":"Labha","start":"19:43","end":"21:03","startHours":19.710114481727405,"endHours":21.056788328131844,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:24","startHours":21.056788328131844,"endHours":22.403462174536287,"quality":"auspicious"},{"name":"Kāla","start":"22:24","end":"23:45","startHours":22.403462174536287,"endHours":23.750136020940726,"quality":"inauspicious"},{"name":"Śubha","start":"23:45","end":"01:06","startHours":23.750136020940726,"endHours":25.096809867345165,"quality":"auspicious"},{"name":"Roga","start":"01:06","end":"02:27","startHours":25.096809867345165,"endHours":26.443483713749607,"quality":"inauspicious"},{"name":"Udveg","start":"02:27","end":"03:47","startHours":26.443483713749607,"endHours":27.790157560154046,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:08","startHours":27.790157560154046,"endHours":29.136831406558485,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.1368314065584855,"endHours":6.1368314065584855,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.1368314065584855,"endHours":7.1368314065584855,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.1368314065584855,"endHours":8.136831406558485,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.136831406558485,"endHours":9.136831406558485,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.136831406558485,"endHours":10.136831406558485,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.136831406558485,"endHours":11.136831406558485,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.136831406558485,"endHours":12.136831406558485,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.136831406558485,"endHours":13.136831406558485,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.136831406558485,"endHours":14.136831406558485,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.136831406558485,"endHours":15.136831406558485,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.136831406558485,"endHours":16.136831406558485,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.136831406558485,"endHours":17.136831406558485,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.136831406558485,"endHours":18.136831406558485,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.136831406558485,"endHours":19.136831406558485,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.136831406558485,"endHours":20.136831406558485,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.136831406558485,"endHours":21.136831406558485,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.136831406558485,"endHours":22.136831406558485,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.136831406558485,"endHours":23.136831406558485,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.136831406558485,"endHours":24.136831406558485,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.136831406558485,"endHours":25.136831406558485,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.136831406558485,"endHours":26.136831406558485,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.136831406558485,"endHours":27.136831406558485,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.136831406558485,"endHours":28.136831406558485,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.136831406558485,"endHours":29.136831406558485,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","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":18.354917525316072,"eotMinutes":3.7534387435564067,"ayanamsa":24.2771}},"calendars":{"vikram_samvat":2087,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1952,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1437,"malayalam_era":1206,"nanakshahi_year":561,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Ekādaśī · Vikram 2087 Rudhirodgāri · Śaka 1952 Sādhāraṇa"},"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":"mohini-ekadashi","name":"Mohinī Ekādaśī","name_sanskrit":"मोहिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (Mohinī form)","significance":"Mohinī-form of Viṣṇu deceived asuras during samudra-mathana for amṛta.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3,"sources":["Bhāgavata 8.9"]},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2030 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 13, 2030 CE for Ranchi, Jharkhand: Śukla Ekādaśī, sūryodaya 05:08, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2030-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2030-05-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2030-05-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2030-05-13","x-default":"https://vidhyamitra.com/city/ranchi/2030-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T22:40:16.609Z","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":"2026-05-14T22:40:16.609Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T22:40:16.609Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}