{"id":"vidhyamitra:city-day:ranchi:2182-05-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2182-05-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2182-05-07","date_display":"May 7, 2182 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":2182,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2518145.770833,"kali_year":5284,"ahargana":1929680.2708,"sun":{"sidereal_longitude":19.9854,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":71.4178,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.4324,"elapsed_within_tithi_degrees":3.4324},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.4178,"elapsed_within_degrees":4.7511},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.4032},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2182,"month":5,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2518145.770833,"ahargana":1929680.2708,"kali_year":5284,"ayanamsa_lahiri":26.4002,"grahas":{"sun":{"sidereal_longitude":20.37077099999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":69.336771,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-4.3497},"mars":{"sidereal_longitude":337.777871,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":351.322371,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":134.798271,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":345.712471,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":90.84487100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":176.253,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":356.253,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"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":2182,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2518145.770833,"kali_year":5284,"ahargana":1929680.2708,"sun":{"sidereal_longitude":19.9854,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":71.4178,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.4324,"elapsed_within_tithi_degrees":3.4324},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.4178,"elapsed_within_degrees":4.7511},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.4032},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.35,"elongation":51.432},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.35,"opposition_distance":128.568}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":0.5,"opposition_distance":1.052}]},"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":"05:11","sunsetLocal":"18:19","solarNoonLocal":"11:45","dayLengthHours":13.128799422793321,"dayLengthDisplay":"13 Hours 07 Mins 44 Secs","nightLengthDisplay":"10 Hours 52 Mins 16 Secs","moonriseLocal":"08:15","moonsetLocal":"21:47","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:41","startHours":15.036365512248231,"endHours":16.677465440097397,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:28","end":"10:07","startHours":8.47196580085157,"endHours":10.113065728700736,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:45","end":"13:24","startHours":11.754165656549901,"endHours":13.395265584399066,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:15","end":"08:41","startHours":8.25315247713835,"endHours":8.690779124564793,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:44","end":"06:05","startHours":5.7367992544362965,"endHours":6.086900572377452,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.316539009123456,"endHours":12.191792303976346,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:19","startHours":3.439259355447465,"endHours":4.314512650300354,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:11","startHours":4.095699326587131,"endHours":5.189765945153241,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:49","startHours":13.942298893682121,"endHours":14.817552188535009,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.118565367946562,"endHours":18.51856536794656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:52","startHours":18.31856536794656,"endHours":18.865598677229617,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.06856536794656,"endHours":19.81856536794656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.316539009123456,"endHours":24.191792303976346,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:11","end":"06:50","startHours":5.189765945153241,"endHours":6.8308658730024066,"quality":"inauspicious"},{"name":"Udveg","start":"06:50","end":"08:28","startHours":6.8308658730024066,"endHours":8.47196580085157,"quality":"inauspicious"},{"name":"Chala","start":"08:28","end":"10:07","startHours":8.47196580085157,"endHours":10.113065728700736,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:45","startHours":10.113065728700736,"endHours":11.754165656549901,"quality":"auspicious"},{"name":"Amṛta","start":"11:45","end":"13:24","startHours":11.754165656549901,"endHours":13.395265584399066,"quality":"auspicious"},{"name":"Kāla","start":"13:24","end":"15:02","startHours":13.395265584399066,"endHours":15.036365512248231,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:41","startHours":15.036365512248231,"endHours":16.677465440097397,"quality":"auspicious"},{"name":"Roga","start":"16:41","end":"18:19","startHours":16.677465440097397,"endHours":18.31856536794656,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:19","end":"19:41","startHours":18.31856536794656,"endHours":19.677465440097397,"quality":"inauspicious"},{"name":"Śubha","start":"19:41","end":"21:02","startHours":19.677465440097397,"endHours":21.03636551224823,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:24","startHours":21.03636551224823,"endHours":22.395265584399066,"quality":"inauspicious"},{"name":"Udveg","start":"22:24","end":"23:45","startHours":22.395265584399066,"endHours":23.7541656565499,"quality":"inauspicious"},{"name":"Chala","start":"23:45","end":"01:07","startHours":23.7541656565499,"endHours":25.113065728700736,"quality":"neutral"},{"name":"Labha","start":"01:07","end":"02:28","startHours":25.113065728700736,"endHours":26.47196580085157,"quality":"auspicious"},{"name":"Amṛta","start":"02:28","end":"03:50","startHours":26.47196580085157,"endHours":27.830865873002406,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:11","startHours":27.830865873002406,"endHours":29.18976594515324,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.189765945153241,"endHours":6.189765945153241,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.189765945153241,"endHours":7.189765945153241,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.189765945153241,"endHours":8.18976594515324,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.18976594515324,"endHours":9.18976594515324,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.18976594515324,"endHours":10.18976594515324,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.18976594515324,"endHours":11.18976594515324,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.18976594515324,"endHours":12.18976594515324,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.18976594515324,"endHours":13.18976594515324,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.18976594515324,"endHours":14.18976594515324,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.18976594515324,"endHours":15.18976594515324,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.18976594515324,"endHours":16.18976594515324,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.18976594515324,"endHours":17.18976594515324,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.18976594515324,"endHours":18.18976594515324,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.18976594515324,"endHours":19.18976594515324,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.18976594515324,"endHours":20.18976594515324,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.18976594515324,"endHours":21.18976594515324,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.18976594515324,"endHours":22.18976594515324,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.18976594515324,"endHours":23.18976594515324,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.18976594515324,"endHours":24.18976594515324,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.18976594515324,"endHours":25.18976594515324,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.18976594515324,"endHours":26.18976594515324,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.18976594515324,"endHours":27.18976594515324,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.18976594515324,"endHours":28.18976594515324,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.18976594515324,"endHours":29.18976594515324,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","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":16.845773454477598,"eotMinutes":3.5116606070058483,"ayanamsa":26.4002}},"calendars":{"vikram_samvat":2239,"vikram_samvatsara":"Manmatha","saka_samvat":2104,"saka_samvatsara":"Citrabhānu","bengali_samvat":1589,"malayalam_era":1358,"nanakshahi_year":713,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","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":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pañcamī · Vikram 2239 Manmatha · Śaka 2104 Citrabhānu"},"festivals":[{"id":"shankara-jayanti","name":"Ādi Śaṅkarācārya Jayantī","name_sanskrit":"आदि शङ्कराचार्य जयन्ती","tradition":"Smarta","associated_deity":"Ādi Śaṅkarācārya","significance":"Birth of Ādi Śaṅkara at Kāladī, Kerala; Advaita-pratiṣṭhāpaka.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3}],"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 7, 2182 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 7, 2182 CE for Ranchi, Jharkhand: Śukla Pañcamī, sūryodaya 05:11, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2182-05-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2182-05-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2182-05-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2182-05-07","x-default":"https://vidhyamitra.com/city/ranchi/2182-05-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T19:01:12.350Z","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":"2026-06-04T19:01:12.350Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T19:01:12.350Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}