{"id":"vidhyamitra:city-day:ranchi:2075-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2075-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-05-01","date_display":"May 1, 2075 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":2075,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479058.770833,"kali_year":5177,"ahargana":1890593.2708,"sun":{"sidereal_longitude":15.8229,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":197.8266,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.0037,"elapsed_within_tithi_degrees":2.0037},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.8266,"elapsed_within_degrees":11.1599},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.6494},"karana":{"half_tithi_index":30,"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":2075,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479058.770833,"ahargana":1890593.2708,"kali_year":5177,"ayanamsa_lahiri":24.9053,"grahas":{"sun":{"sidereal_longitude":15.933681999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":199.58288200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":4.2129},"mars":{"sidereal_longitude":3.582181999999989,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":31.836081999999976,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":128.283482,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":351.076682,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":231.86538199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":87.2703,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":267.2703,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479058.770833,"kali_year":5177,"ahargana":1890593.2708,"sun":{"sidereal_longitude":15.8229,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":197.8266,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.0037,"elapsed_within_tithi_degrees":2.0037},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.8266,"elapsed_within_degrees":11.1599},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.6494},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.213,"elongation":177.996},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.213,"opposition_distance":2.004}},"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":"05:15","sunsetLocal":"18:16","solarNoonLocal":"11:46","dayLengthHours":13.016366746303405,"dayLengthDisplay":"13 Hours 00 Mins 59 Secs","nightLengthDisplay":"10 Hours 59 Mins 01 Secs","moonriseLocal":"18:27","moonsetLocal":"05:34","rahuKala":{"name":"Rāhu Kāla","start":"11:46","end":"13:23","startHours":11.764059877850553,"endHours":13.391105721138477,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:53","end":"08:31","startHours":6.882922347986775,"endHours":8.509968191274702,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:08","end":"11:46","startHours":10.137014034562625,"endHours":11.764059877850553,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:44","startHours":8.293028745502976,"endHours":8.726907637046423,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:09","startHours":5.798225119128158,"endHours":6.145328232362916,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:12","startHours":11.330180986307106,"endHours":12.197938769394,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:23","startHours":3.5203609385250623,"endHours":4.388118721611956,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:15","startHours":4.171179275840233,"endHours":5.25587650469885,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:48","startHours":13.933454335567788,"endHours":14.801212118654682,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.072243251002256,"endHours":18.472243251002254,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:49","startHours":18.272243251002255,"endHours":18.814591865431563,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.022243251002255,"endHours":19.772243251002255,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:12","startHours":23.330180986307106,"endHours":24.197938769394,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:15","end":"06:53","startHours":5.25587650469885,"endHours":6.882922347986775,"quality":"auspicious"},{"name":"Amṛta","start":"06:53","end":"08:31","startHours":6.882922347986775,"endHours":8.509968191274702,"quality":"auspicious"},{"name":"Kāla","start":"08:31","end":"10:08","startHours":8.509968191274702,"endHours":10.137014034562625,"quality":"inauspicious"},{"name":"Śubha","start":"10:08","end":"11:46","startHours":10.137014034562625,"endHours":11.764059877850553,"quality":"auspicious"},{"name":"Roga","start":"11:46","end":"13:23","startHours":11.764059877850553,"endHours":13.391105721138477,"quality":"inauspicious"},{"name":"Udveg","start":"13:23","end":"15:01","startHours":13.391105721138477,"endHours":15.018151564426404,"quality":"inauspicious"},{"name":"Chala","start":"15:01","end":"16:39","startHours":15.018151564426404,"endHours":16.645197407714328,"quality":"neutral"},{"name":"Labha","start":"16:39","end":"18:16","startHours":16.645197407714328,"endHours":18.272243251002255,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:16","end":"19:39","startHours":18.272243251002255,"endHours":19.645197407714328,"quality":"inauspicious"},{"name":"Chala","start":"19:39","end":"21:01","startHours":19.645197407714328,"endHours":21.018151564426404,"quality":"neutral"},{"name":"Labha","start":"21:01","end":"22:23","startHours":21.018151564426404,"endHours":22.39110572113848,"quality":"auspicious"},{"name":"Amṛta","start":"22:23","end":"23:46","startHours":22.39110572113848,"endHours":23.764059877850553,"quality":"auspicious"},{"name":"Kāla","start":"23:46","end":"01:08","startHours":23.764059877850553,"endHours":25.137014034562625,"quality":"inauspicious"},{"name":"Śubha","start":"01:08","end":"02:31","startHours":25.137014034562625,"endHours":26.5099681912747,"quality":"auspicious"},{"name":"Roga","start":"02:31","end":"03:53","startHours":26.5099681912747,"endHours":27.882922347986778,"quality":"inauspicious"},{"name":"Udveg","start":"03:53","end":"05:15","startHours":27.882922347986778,"endHours":29.25587650469885,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.25587650469885,"endHours":6.25587650469885,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.25587650469885,"endHours":7.25587650469885,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.25587650469885,"endHours":8.25587650469885,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.25587650469885,"endHours":9.25587650469885,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.25587650469885,"endHours":10.25587650469885,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.25587650469885,"endHours":11.25587650469885,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.25587650469885,"endHours":12.25587650469885,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.25587650469885,"endHours":13.25587650469885,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.25587650469885,"endHours":14.25587650469885,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.25587650469885,"endHours":15.25587650469885,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.25587650469885,"endHours":16.25587650469885,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.25587650469885,"endHours":17.25587650469885,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.25587650469885,"endHours":18.25587650469885,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.25587650469885,"endHours":19.25587650469885,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.25587650469885,"endHours":20.25587650469885,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.25587650469885,"endHours":21.25587650469885,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.25587650469885,"endHours":22.25587650469885,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.25587650469885,"endHours":23.25587650469885,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.25587650469885,"endHours":24.25587650469885,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.25587650469885,"endHours":25.25587650469885,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.25587650469885,"endHours":26.25587650469885,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.25587650469885,"endHours":27.25587650469885,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.25587650469885,"endHours":28.25587650469885,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.25587650469885,"endHours":29.25587650469885,"planetary_lord":"Sun"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","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":15.075483780449863,"eotMinutes":2.918007328966811,"ayanamsa":24.9053}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Pratipada · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":"narada-jayanti","name":"Bhagavān Nārada Jayantī","name_sanskrit":"भगवान् नारद जयन्ती","tradition":"Vaishnava","associated_deity":"Devarṣi Nārada (ādi-bhakta · Vyāsa's guru)","significance":"Manifestation of Devarṣi Nārada — ādi-bhakta and tri-loka-saṅcāri who instructed Vyāsa to compose Śrīmad Bhāgavata. Without Nārada, no Bhāgavata; without Bhāgavata, no Krishna-tattva-pratiṣṭhā in Kali Yuga. Falls on Vaiśākha Kṛṣṇa Pratipadā (day after Buddha Pūrṇimā).","vrata":true,"primary_observance":"Recitation of Nārada-Bhakti-Sūtra; meditation on Krishna as taught by Nārada to Vyāsa (Bhāgavata 1.5)","detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha"},"precedence":1,"sources":["Bhāgavata Purāṇa 1.5-6 (Nārada-Vyāsa-saṁvāda)","Nārada-Bhakti-Sūtra"]},{"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}],"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":"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 1, 2075 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 1, 2075 CE for Ranchi, Jharkhand: Kṛṣṇa Pratipada, sūryodaya 05:15, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2075-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2075-05-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2075-05-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2075-05-01","x-default":"https://vidhyamitra.com/city/ranchi/2075-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T19:58:52.287Z","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":"2026-05-19T19:58:52.288Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T19:58:52.288Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}