{"id":"vidhyamitra:city-day:ranchi:2107-05-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2107-05-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-05-06","date_display":"May 6, 2107 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":2107,"month":5,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490750.770833,"kali_year":5209,"ahargana":1902285.2708,"sun":{"sidereal_longitude":19.4135,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":186.6892,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.2757,"elapsed_within_tithi_degrees":11.2757},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.6892,"elapsed_within_degrees":0.0225},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.1027},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2107,"month":5,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490750.770833,"ahargana":1902285.2708,"kali_year":5209,"ayanamsa_lahiri":25.3525,"grahas":{"sun":{"sidereal_longitude":19.618661999999972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":185.36286199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-0.0849},"mars":{"sidereal_longitude":9.329362000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":38.80216200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":28.488661999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":357.645162,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":261.198662,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":187.7719,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":7.7719,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2107,"month":5,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490750.770833,"kali_year":5209,"ahargana":1902285.2708,"sun":{"sidereal_longitude":19.4135,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":186.6892,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.2757,"elapsed_within_tithi_degrees":11.2757},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.6892,"elapsed_within_degrees":0.0225},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.1027},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.085,"elongation":167.276},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.085,"opposition_distance":12.724}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":0.984,"opposition_distance":0.02}]},"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":"05:12","sunsetLocal":"18:18","solarNoonLocal":"11:45","dayLengthHours":13.09552590966292,"dayLengthDisplay":"13 Hours 05 Mins 44 Secs","nightLengthDisplay":"10 Hours 54 Mins 16 Secs","moonriseLocal":"17:06","moonsetLocal":"04:30","rahuKala":{"name":"Rāhu Kāla","start":"10:07","end":"11:45","startHours":10.118468644174458,"endHours":11.755409382882323,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:02","end":"16:40","startHours":15.029290860298053,"endHours":16.66623159900592,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:51","end":"08:29","startHours":6.8445871667587275,"endHours":8.481527905466592,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:42","startHours":8.263269140305544,"endHours":8.699786670627642,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:06","startHours":5.753293340953484,"endHours":6.102507365211162,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.318891852560226,"endHours":12.191926913204421,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:20","startHours":3.461576306762473,"endHours":4.334611367406668,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:12","startHours":4.11635260224562,"endHours":5.207646428050863,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:49","startHours":13.93799703449281,"endHours":14.811032095137005,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.103172337713783,"endHours":18.50317233771378,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:51","startHours":18.303172337713782,"endHours":18.848819250616405,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.053172337713782,"endHours":19.803172337713782,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.318891852560228,"endHours":24.19192691320442,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:12","end":"06:51","startHours":5.207646428050863,"endHours":6.8445871667587275,"quality":"neutral"},{"name":"Labha","start":"06:51","end":"08:29","startHours":6.8445871667587275,"endHours":8.481527905466592,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"10:07","startHours":8.481527905466592,"endHours":10.118468644174458,"quality":"auspicious"},{"name":"Kāla","start":"10:07","end":"11:45","startHours":10.118468644174458,"endHours":11.755409382882323,"quality":"inauspicious"},{"name":"Śubha","start":"11:45","end":"13:24","startHours":11.755409382882323,"endHours":13.392350121590187,"quality":"auspicious"},{"name":"Roga","start":"13:24","end":"15:02","startHours":13.392350121590187,"endHours":15.029290860298053,"quality":"inauspicious"},{"name":"Udveg","start":"15:02","end":"16:40","startHours":15.029290860298053,"endHours":16.66623159900592,"quality":"inauspicious"},{"name":"Chala","start":"16:40","end":"18:18","startHours":16.66623159900592,"endHours":18.303172337713782,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:18","end":"19:40","startHours":18.303172337713782,"endHours":19.66623159900592,"quality":"inauspicious"},{"name":"Udveg","start":"19:40","end":"21:02","startHours":19.66623159900592,"endHours":21.02929086029805,"quality":"inauspicious"},{"name":"Chala","start":"21:02","end":"22:24","startHours":21.02929086029805,"endHours":22.392350121590187,"quality":"neutral"},{"name":"Labha","start":"22:24","end":"23:45","startHours":22.392350121590187,"endHours":23.755409382882323,"quality":"auspicious"},{"name":"Amṛta","start":"23:45","end":"01:07","startHours":23.755409382882323,"endHours":25.118468644174456,"quality":"auspicious"},{"name":"Kāla","start":"01:07","end":"02:29","startHours":25.118468644174456,"endHours":26.481527905466592,"quality":"inauspicious"},{"name":"Śubha","start":"02:29","end":"03:51","startHours":26.481527905466592,"endHours":27.84458716675873,"quality":"auspicious"},{"name":"Roga","start":"03:51","end":"05:12","startHours":27.84458716675873,"endHours":29.207646428050865,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.207646428050863,"endHours":6.207646428050863,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.207646428050863,"endHours":7.207646428050863,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.207646428050863,"endHours":8.207646428050863,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.207646428050863,"endHours":9.207646428050863,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.207646428050863,"endHours":10.207646428050863,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.207646428050863,"endHours":11.207646428050863,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.207646428050863,"endHours":12.207646428050863,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.207646428050863,"endHours":13.207646428050863,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.207646428050863,"endHours":14.207646428050863,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.207646428050863,"endHours":15.207646428050863,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.207646428050863,"endHours":16.207646428050865,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.207646428050865,"endHours":17.207646428050865,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.207646428050865,"endHours":18.207646428050865,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.207646428050865,"endHours":19.207646428050865,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.207646428050865,"endHours":20.207646428050865,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.207646428050865,"endHours":21.207646428050865,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.207646428050865,"endHours":22.207646428050865,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.207646428050865,"endHours":23.207646428050865,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.207646428050865,"endHours":24.207646428050865,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.207646428050865,"endHours":25.207646428050865,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.207646428050865,"endHours":26.207646428050865,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.207646428050865,"endHours":27.207646428050865,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.207646428050865,"endHours":28.207646428050865,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.207646428050865,"endHours":29.207646428050865,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","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":16.32573170095011,"eotMinutes":3.4370370270605552,"ayanamsa":25.3525}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"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 Caturdaśī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated 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 6, 2107 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 6, 2107 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:12, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2107-05-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2107-05-06","sa":"https://sa.vidhyamitra.com/city/ranchi/2107-05-06","hi":"https://hi.vidhyamitra.com/city/ranchi/2107-05-06","x-default":"https://vidhyamitra.com/city/ranchi/2107-05-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:56:33.999Z","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":"2026-06-01T07:56:33.999Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:56:33.999Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}