{"id":"vidhyamitra:city-day:ranchi:2188-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2188-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2188-05-15","date_display":"May 15, 2188 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":2188,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520345.770833,"kali_year":5290,"ahargana":1931880.2708,"sun":{"sidereal_longitude":28.109,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":260.5653,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.4563,"elapsed_within_tithi_degrees":4.4563},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.5653,"elapsed_within_degrees":7.232},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.6743},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2188,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2520345.770833,"ahargana":1931880.2708,"kali_year":5290,"ayanamsa_lahiri":26.4844,"grahas":{"sun":{"sidereal_longitude":28.55621500000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":261.707215,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":-1.6023},"mars":{"sidereal_longitude":30.279215000000022,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":0.5277150000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":331.9655150000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":351.234615,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":169.626715,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":59.6864,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.6864,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":2188,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520345.770833,"kali_year":5290,"ahargana":1931880.2708,"sun":{"sidereal_longitude":28.109,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":260.5653,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.4563,"elapsed_within_tithi_degrees":4.4563},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.5653,"elapsed_within_degrees":7.232},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.6743},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.602,"elongation":127.544},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.602,"opposition_distance":52.456}},"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":13.270611551418746,"dayLengthDisplay":"13 Hours 16 Mins 14 Secs","nightLengthDisplay":"10 Hours 43 Mins 46 Secs","moonriseLocal":"21:55","moonsetLocal":"08:40","rahuKala":{"name":"Rāhu Kāla","start":"13:25","end":"15:04","startHours":13.408916428328574,"endHours":15.067742872255918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:07","end":"06:46","startHours":5.114784208691859,"endHours":6.773610652619202,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:26","end":"10:05","startHours":8.432437096546545,"endHours":10.09126354047389,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:39","startHours":8.211260237356232,"endHours":8.653613955736859,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:01","startHours":5.6677263566676395,"endHours":6.021609331372139,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:12","startHours":11.307736266020607,"endHours":12.192443702781857,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:21","end":"04:14","startHours":3.345369335169359,"endHours":4.230076771930609,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:01","end":"05:07","startHours":4.008899912740296,"endHours":5.114784208691859,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:51","startHours":13.961858576304357,"endHours":14.846566013065607,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.185395760110605,"endHours":18.585395760110604,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:56","startHours":18.385395760110605,"endHours":18.938337908086385,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.135395760110605,"endHours":19.885395760110605,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:12","startHours":23.30773626602061,"endHours":24.192443702781855,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:07","end":"06:46","startHours":5.114784208691859,"endHours":6.773610652619202,"quality":"auspicious"},{"name":"Roga","start":"06:46","end":"08:26","startHours":6.773610652619202,"endHours":8.432437096546545,"quality":"inauspicious"},{"name":"Udveg","start":"08:26","end":"10:05","startHours":8.432437096546545,"endHours":10.09126354047389,"quality":"inauspicious"},{"name":"Chala","start":"10:05","end":"11:45","startHours":10.09126354047389,"endHours":11.750089984401232,"quality":"neutral"},{"name":"Labha","start":"11:45","end":"13:25","startHours":11.750089984401232,"endHours":13.408916428328574,"quality":"auspicious"},{"name":"Amṛta","start":"13:25","end":"15:04","startHours":13.408916428328574,"endHours":15.067742872255918,"quality":"auspicious"},{"name":"Kāla","start":"15:04","end":"16:44","startHours":15.067742872255918,"endHours":16.726569316183262,"quality":"inauspicious"},{"name":"Śubha","start":"16:44","end":"18:23","startHours":16.726569316183262,"endHours":18.385395760110605,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:23","end":"19:44","startHours":18.385395760110605,"endHours":19.726569316183262,"quality":"auspicious"},{"name":"Kāla","start":"19:44","end":"21:04","startHours":19.726569316183262,"endHours":21.06774287225592,"quality":"inauspicious"},{"name":"Śubha","start":"21:04","end":"22:25","startHours":21.06774287225592,"endHours":22.408916428328574,"quality":"auspicious"},{"name":"Roga","start":"22:25","end":"23:45","startHours":22.408916428328574,"endHours":23.75008998440123,"quality":"inauspicious"},{"name":"Udveg","start":"23:45","end":"01:05","startHours":23.75008998440123,"endHours":25.09126354047389,"quality":"inauspicious"},{"name":"Chala","start":"01:05","end":"02:26","startHours":25.09126354047389,"endHours":26.432437096546543,"quality":"neutral"},{"name":"Labha","start":"02:26","end":"03:46","startHours":26.432437096546543,"endHours":27.7736106526192,"quality":"auspicious"},{"name":"Amṛta","start":"03:46","end":"05:07","startHours":27.7736106526192,"endHours":29.11478420869186,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.114784208691859,"endHours":6.114784208691859,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.114784208691859,"endHours":7.114784208691859,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.114784208691859,"endHours":8.114784208691859,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.114784208691859,"endHours":9.114784208691859,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.114784208691859,"endHours":10.114784208691859,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.114784208691859,"endHours":11.114784208691859,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.114784208691859,"endHours":12.114784208691859,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.114784208691859,"endHours":13.114784208691859,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.114784208691859,"endHours":14.114784208691859,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.114784208691859,"endHours":15.114784208691859,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.114784208691859,"endHours":16.11478420869186,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.11478420869186,"endHours":17.11478420869186,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.11478420869186,"endHours":18.11478420869186,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.11478420869186,"endHours":19.11478420869186,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.11478420869186,"endHours":20.11478420869186,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.11478420869186,"endHours":21.11478420869186,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.11478420869186,"endHours":22.11478420869186,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.11478420869186,"endHours":23.11478420869186,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.11478420869186,"endHours":24.11478420869186,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.11478420869186,"endHours":25.11478420869186,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.11478420869186,"endHours":26.11478420869186,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.11478420869186,"endHours":27.11478420869186,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.11478420869186,"endHours":28.11478420869186,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.11478420869186,"endHours":29.11478420869186,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","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":19.0240488759409,"eotMinutes":3.7562009359260493,"ayanamsa":26.4844}},"calendars":{"vikram_samvat":2245,"vikram_samvatsara":"Plava","saka_samvat":2110,"saka_samvatsara":"Sarvadhāri","bengali_samvat":1595,"malayalam_era":1364,"nanakshahi_year":719,"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 Pañcamī · Vikram 2245 Plava · Śaka 2110 Sarvadhāri"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2188 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 15, 2188 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:07, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2188-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2188-05-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2188-05-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2188-05-15","x-default":"https://vidhyamitra.com/city/ranchi/2188-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-06T17:30:33.532Z","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":"2026-06-06T17:30:33.532Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-06T17:30:33.532Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}