{"id":"vidhyamitra:city-day:ranchi:2026-05-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2026-05-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-05-05","date_display":"May 5, 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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461165.770833,"kali_year":5128,"ahargana":1872700.2708,"sun":{"sidereal_longitude":20.3382,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":240.1676,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.8294,"elapsed_within_tithi_degrees":3.8294},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.1676,"elapsed_within_degrees":0.1676},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.5058},"karana":{"half_tithi_index":36,"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":2026,"month":5,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461165.770833,"ahargana":1872700.2708,"kali_year":5128,"ayanamsa_lahiri":24.221,"grahas":{"sun":{"sidereal_longitude":20.357726000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":236.871126,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":-4.3496},"mars":{"sidereal_longitude":354.840326,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":9.004726000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":85.09502600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":48.61602600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":345.453226,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":315.3276,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":135.3276,"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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461165.770833,"kali_year":5128,"ahargana":1872700.2708,"sun":{"sidereal_longitude":20.3382,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":240.1676,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.8294,"elapsed_within_tithi_degrees":3.8294},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.1676,"elapsed_within_degrees":0.1676},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.5058},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.35,"elongation":140.171},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.35,"opposition_distance":39.829}},"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":"05:13","sunsetLocal":"18:18","solarNoonLocal":"11:45","dayLengthHours":13.088169361146925,"dayLengthDisplay":"13 Hours 05 Mins 17 Secs","nightLengthDisplay":"10 Hours 54 Mins 43 Secs","moonriseLocal":"20:51","moonsetLocal":"07:32","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:40","startHours":15.028858610379022,"endHours":16.664879780522387,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"10:07","startHours":8.48477392980556,"endHours":10.120795099948925,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:45","end":"13:24","startHours":11.75681627009229,"endHours":13.392837440235656,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:42","startHours":8.266637773786442,"endHours":8.702910085824673,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:06","startHours":5.7580719795666155,"endHours":6.1070898291972,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.32054395805406,"endHours":12.193088582130521,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:20","startHours":3.467642341365904,"endHours":4.340186965442365,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:13","startHours":4.12205080942325,"endHours":5.212731589518827,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:49","startHours":13.938177830283443,"endHours":14.810722454359905,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.100900950665753,"endHours":18.500900950665752,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:51","startHours":18.300900950665753,"endHours":18.84624134071354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.050900950665753,"endHours":19.800900950665753,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.32054395805406,"endHours":24.19308858213052,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:13","end":"06:51","startHours":5.212731589518827,"endHours":6.848752759662193,"quality":"inauspicious"},{"name":"Udveg","start":"06:51","end":"08:29","startHours":6.848752759662193,"endHours":8.48477392980556,"quality":"inauspicious"},{"name":"Chala","start":"08:29","end":"10:07","startHours":8.48477392980556,"endHours":10.120795099948925,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:45","startHours":10.120795099948925,"endHours":11.75681627009229,"quality":"auspicious"},{"name":"Amṛta","start":"11:45","end":"13:24","startHours":11.75681627009229,"endHours":13.392837440235656,"quality":"auspicious"},{"name":"Kāla","start":"13:24","end":"15:02","startHours":13.392837440235656,"endHours":15.028858610379022,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:40","startHours":15.028858610379022,"endHours":16.664879780522387,"quality":"auspicious"},{"name":"Roga","start":"16:40","end":"18:18","startHours":16.664879780522387,"endHours":18.300900950665753,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:18","end":"19:40","startHours":18.300900950665753,"endHours":19.664879780522387,"quality":"inauspicious"},{"name":"Śubha","start":"19:40","end":"21:02","startHours":19.664879780522387,"endHours":21.02885861037902,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:24","startHours":21.02885861037902,"endHours":22.392837440235656,"quality":"inauspicious"},{"name":"Udveg","start":"22:24","end":"23:45","startHours":22.392837440235656,"endHours":23.75681627009229,"quality":"inauspicious"},{"name":"Chala","start":"23:45","end":"01:07","startHours":23.75681627009229,"endHours":25.120795099948925,"quality":"neutral"},{"name":"Labha","start":"01:07","end":"02:29","startHours":25.120795099948925,"endHours":26.48477392980556,"quality":"auspicious"},{"name":"Amṛta","start":"02:29","end":"03:51","startHours":26.48477392980556,"endHours":27.848752759662194,"quality":"auspicious"},{"name":"Kāla","start":"03:51","end":"05:13","startHours":27.848752759662194,"endHours":29.212731589518828,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.212731589518827,"endHours":6.212731589518827,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.212731589518827,"endHours":7.212731589518827,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.212731589518827,"endHours":8.212731589518828,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.212731589518828,"endHours":9.212731589518828,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.212731589518828,"endHours":10.212731589518828,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.212731589518828,"endHours":11.212731589518828,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.212731589518828,"endHours":12.212731589518828,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.212731589518828,"endHours":13.212731589518828,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.212731589518828,"endHours":14.212731589518828,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.212731589518828,"endHours":15.212731589518828,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.212731589518828,"endHours":16.212731589518828,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.212731589518828,"endHours":17.212731589518828,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.212731589518828,"endHours":18.212731589518828,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.212731589518828,"endHours":19.212731589518828,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.212731589518828,"endHours":20.212731589518828,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.212731589518828,"endHours":21.212731589518828,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.212731589518828,"endHours":22.212731589518828,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.212731589518828,"endHours":23.212731589518828,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.212731589518828,"endHours":24.212731589518828,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.212731589518828,"endHours":25.212731589518828,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.212731589518828,"endHours":26.212731589518828,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.212731589518828,"endHours":27.212731589518828,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.212731589518828,"endHours":28.212731589518828,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.212731589518828,"endHours":29.212731589518828,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"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":16.21030949584974,"eotMinutes":3.3526237944626183,"ayanamsa":24.221}},"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 Caturthī · 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":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 5, 2026 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 5, 2026 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 05:13, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2026-05-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2026-05-05","sa":"https://sa.vidhyamitra.com/city/ranchi/2026-05-05","hi":"https://hi.vidhyamitra.com/city/ranchi/2026-05-05","x-default":"https://vidhyamitra.com/city/ranchi/2026-05-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:36:57.654Z","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":"2026-05-14T16:36:57.654Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:36:57.654Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}