{"id":"vidhyamitra:city-day:ranchi:1864-05-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1864-05-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1864-05-07","date_display":"May 7, 1864 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":1864,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2401998.770833,"kali_year":4966,"ahargana":1813533.2708,"sun":{"sidereal_longitude":25.0717,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.7955,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.7238,"elapsed_within_tithi_degrees":2.7238},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.7955,"elapsed_within_degrees":13.1288},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.8672},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1864,"month":5,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2401998.770833,"ahargana":1813533.2708,"kali_year":4966,"ayanamsa_lahiri":21.958,"grahas":{"sun":{"sidereal_longitude":24.738540999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":37.681940999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-0.7432},"mars":{"sidereal_longitude":324.39114100000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":45.746740999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":213.702041,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":7.198540999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":171.54744099999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":210.28,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.28,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":1864,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2401998.770833,"kali_year":4966,"ahargana":1813533.2708,"sun":{"sidereal_longitude":25.0717,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.7955,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.7238,"elapsed_within_tithi_degrees":2.7238},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.7955,"elapsed_within_degrees":13.1288},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.8672},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.743,"elongation":14.724},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.743,"opposition_distance":165.276}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":0.315,"elongation":2.207}]},"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":13.127438945529844,"dayLengthDisplay":"13 Hours 07 Mins 39 Secs","nightLengthDisplay":"10 Hours 52 Mins 21 Secs","moonriseLocal":"05:58","moonsetLocal":"19:16","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"10:07","startHours":8.472305920167441,"endHours":10.113235788358672,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:24","end":"15:02","startHours":13.395095524741132,"endHours":15.036025392932363,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:11","end":"06:50","startHours":5.19044618378498,"endHours":6.831376051976211,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:15","end":"08:41","startHours":8.253515271075276,"endHours":8.691096569259605,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:44","end":"06:05","startHours":5.73742280651539,"endHours":6.087487845062853,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.316584358365573,"endHours":12.19174695473423,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:19","startHours":3.4401209910476673,"endHours":4.315283587416324,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:11","startHours":4.096492938324159,"endHours":5.19044618378498,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:49","startHours":13.942072147471544,"endHours":14.817234743840201,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.117885129314825,"endHours":18.517885129314823,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:52","startHours":18.317885129314824,"endHours":18.864861752045236,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.067885129314824,"endHours":19.817885129314824,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.316584358365574,"endHours":24.191746954734228,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:11","end":"06:50","startHours":5.19044618378498,"endHours":6.831376051976211,"quality":"inauspicious"},{"name":"Śubha","start":"06:50","end":"08:28","startHours":6.831376051976211,"endHours":8.472305920167441,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"10:07","startHours":8.472305920167441,"endHours":10.113235788358672,"quality":"inauspicious"},{"name":"Udveg","start":"10:07","end":"11:45","startHours":10.113235788358672,"endHours":11.754165656549901,"quality":"inauspicious"},{"name":"Chala","start":"11:45","end":"13:24","startHours":11.754165656549901,"endHours":13.395095524741132,"quality":"neutral"},{"name":"Labha","start":"13:24","end":"15:02","startHours":13.395095524741132,"endHours":15.036025392932363,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:41","startHours":15.036025392932363,"endHours":16.676955261123595,"quality":"auspicious"},{"name":"Kāla","start":"16:41","end":"18:19","startHours":16.676955261123595,"endHours":18.317885129314824,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:19","end":"19:41","startHours":18.317885129314824,"endHours":19.676955261123595,"quality":"auspicious"},{"name":"Amṛta","start":"19:41","end":"21:02","startHours":19.676955261123595,"endHours":21.036025392932363,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:24","startHours":21.036025392932363,"endHours":22.395095524741134,"quality":"inauspicious"},{"name":"Śubha","start":"22:24","end":"23:45","startHours":22.395095524741134,"endHours":23.7541656565499,"quality":"auspicious"},{"name":"Roga","start":"23:45","end":"01:07","startHours":23.7541656565499,"endHours":25.113235788358672,"quality":"inauspicious"},{"name":"Udveg","start":"01:07","end":"02:28","startHours":25.113235788358672,"endHours":26.472305920167443,"quality":"inauspicious"},{"name":"Chala","start":"02:28","end":"03:50","startHours":26.472305920167443,"endHours":27.83137605197621,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:11","startHours":27.83137605197621,"endHours":29.190446183784978,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.19044618378498,"endHours":6.19044618378498,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.19044618378498,"endHours":7.19044618378498,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.19044618378498,"endHours":8.19044618378498,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.19044618378498,"endHours":9.19044618378498,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.19044618378498,"endHours":10.19044618378498,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.19044618378498,"endHours":11.19044618378498,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.19044618378498,"endHours":12.19044618378498,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.19044618378498,"endHours":13.19044618378498,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.19044618378498,"endHours":14.19044618378498,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.19044618378498,"endHours":15.19044618378498,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.19044618378498,"endHours":16.190446183784978,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.190446183784978,"endHours":17.190446183784978,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.190446183784978,"endHours":18.190446183784978,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.190446183784978,"endHours":19.190446183784978,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.190446183784978,"endHours":20.190446183784978,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.190446183784978,"endHours":21.190446183784978,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.190446183784978,"endHours":22.190446183784978,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.190446183784978,"endHours":23.190446183784978,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.190446183784978,"endHours":24.190446183784978,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.190446183784978,"endHours":25.190446183784978,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.190446183784978,"endHours":26.190446183784978,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.190446183784978,"endHours":27.190446183784978,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.190446183784978,"endHours":28.190446183784978,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.190446183784978,"endHours":29.190446183784978,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":16.82457519839963,"eotMinutes":3.5116606070058483,"ayanamsa":21.958}},"calendars":{"vikram_samvat":1921,"vikram_samvatsara":"Īśvara","saka_samvat":1786,"saka_samvatsara":"Raktākṣī","bengali_samvat":1271,"malayalam_era":1040,"nanakshahi_year":395,"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 Dvitīyā · Vikram 1921 Īśvara · Śaka 1786 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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, 1864 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 7, 1864 CE for Ranchi, Jharkhand: Śukla Dvitīyā, sūryodaya 05:11, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1864-05-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1864-05-07","sa":"https://sa.vidhyamitra.com/city/ranchi/1864-05-07","hi":"https://hi.vidhyamitra.com/city/ranchi/1864-05-07","x-default":"https://vidhyamitra.com/city/ranchi/1864-05-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:18:50.079Z","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":"2026-06-02T21:18:50.079Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:18:50.079Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}