{"id":"vidhyamitra:city-day:ranchi:2103-05-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2103-05-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-05-07","date_display":"May 7, 2103 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":2103,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489290.770833,"kali_year":5205,"ahargana":1900825.2708,"sun":{"sidereal_longitude":20.4112,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":29.7022,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.291,"elapsed_within_tithi_degrees":9.291},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.7022,"elapsed_within_degrees":3.0355},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.1134},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2103,"month":5,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489290.770833,"ahargana":1900825.2708,"kali_year":5205,"ayanamsa_lahiri":25.2966,"grahas":{"sun":{"sidereal_longitude":20.61264399999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":28.267844000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":3.7041},"mars":{"sidereal_longitude":338.335744,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":353.020944,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":271.118644,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":64.506844,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":213.29364399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":265.1297,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":85.1297,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2103,"month":5,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489290.770833,"kali_year":5205,"ahargana":1900825.2708,"sun":{"sidereal_longitude":20.4112,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":29.7022,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.291,"elapsed_within_tithi_degrees":9.291},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.7022,"elapsed_within_degrees":3.0355},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.1134},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.704,"elongation":9.291},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.704,"opposition_distance":170.709}},"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":"05:12","sunsetLocal":"18:19","solarNoonLocal":"11:45","dayLengthHours":13.112965318928808,"dayLengthDisplay":"13 Hours 06 Mins 47 Secs","nightLengthDisplay":"10 Hours 53 Mins 13 Secs","moonriseLocal":"05:40","moonsetLocal":"18:52","rahuKala":{"name":"Rāhu Kāla","start":"06:50","end":"08:29","startHours":6.836803661951599,"endHours":8.475924326817701,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:07","end":"11:45","startHours":10.115044991683801,"endHours":11.754165656549901,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:24","end":"15:02","startHours":13.393286321416003,"endHours":15.032406986282105,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:15","end":"08:42","startHours":8.257374904835553,"endHours":8.694473748799847,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:06","startHours":5.744056552040865,"endHours":6.0937356272123,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:11","startHours":11.317066812585608,"endHours":12.191264500514194,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:19","startHours":3.449287621228324,"endHours":4.3234853091569105,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:12","startHours":4.104935887174764,"endHours":5.197682997085498,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:49","startHours":13.939659876371369,"endHours":14.813857564299957,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.110648316014306,"endHours":18.510648316014304,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:51","startHours":18.310648316014305,"endHours":18.85702187096967,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.060648316014305,"endHours":19.810648316014305,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:11","startHours":23.317066812585608,"endHours":24.191264500514194,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:12","end":"06:50","startHours":5.197682997085498,"endHours":6.836803661951599,"quality":"auspicious"},{"name":"Kāla","start":"06:50","end":"08:29","startHours":6.836803661951599,"endHours":8.475924326817701,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"10:07","startHours":8.475924326817701,"endHours":10.115044991683801,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:45","startHours":10.115044991683801,"endHours":11.754165656549901,"quality":"inauspicious"},{"name":"Udveg","start":"11:45","end":"13:24","startHours":11.754165656549901,"endHours":13.393286321416003,"quality":"inauspicious"},{"name":"Chala","start":"13:24","end":"15:02","startHours":13.393286321416003,"endHours":15.032406986282105,"quality":"neutral"},{"name":"Labha","start":"15:02","end":"16:40","startHours":15.032406986282105,"endHours":16.671527651148203,"quality":"auspicious"},{"name":"Amṛta","start":"16:40","end":"18:19","startHours":16.671527651148203,"endHours":18.310648316014305,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:19","end":"19:40","startHours":18.310648316014305,"endHours":19.671527651148203,"quality":"neutral"},{"name":"Labha","start":"19:40","end":"21:02","startHours":19.671527651148203,"endHours":21.032406986282105,"quality":"auspicious"},{"name":"Amṛta","start":"21:02","end":"22:24","startHours":21.032406986282105,"endHours":22.393286321416003,"quality":"auspicious"},{"name":"Kāla","start":"22:24","end":"23:45","startHours":22.393286321416003,"endHours":23.7541656565499,"quality":"inauspicious"},{"name":"Śubha","start":"23:45","end":"01:07","startHours":23.7541656565499,"endHours":25.1150449916838,"quality":"auspicious"},{"name":"Roga","start":"01:07","end":"02:29","startHours":25.1150449916838,"endHours":26.475924326817697,"quality":"inauspicious"},{"name":"Udveg","start":"02:29","end":"03:50","startHours":26.475924326817697,"endHours":27.8368036619516,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:12","startHours":27.8368036619516,"endHours":29.197682997085497,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.197682997085498,"endHours":6.197682997085498,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.197682997085498,"endHours":7.197682997085498,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.197682997085498,"endHours":8.197682997085497,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.197682997085497,"endHours":9.197682997085497,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.197682997085497,"endHours":10.197682997085497,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.197682997085497,"endHours":11.197682997085497,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.197682997085497,"endHours":12.197682997085497,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.197682997085497,"endHours":13.197682997085497,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.197682997085497,"endHours":14.197682997085497,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.197682997085497,"endHours":15.197682997085497,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.197682997085497,"endHours":16.197682997085497,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.197682997085497,"endHours":17.197682997085497,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.197682997085497,"endHours":18.197682997085497,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.197682997085497,"endHours":19.197682997085497,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.197682997085497,"endHours":20.197682997085497,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.197682997085497,"endHours":21.197682997085497,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.197682997085497,"endHours":22.197682997085497,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.197682997085497,"endHours":23.197682997085497,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.197682997085497,"endHours":24.197682997085497,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.197682997085497,"endHours":25.197682997085497,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.197682997085497,"endHours":26.197682997085497,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.197682997085497,"endHours":27.197682997085497,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.197682997085497,"endHours":28.197682997085497,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.197682997085497,"endHours":29.197682997085497,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-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":16.598710091014304,"eotMinutes":3.5116606070058483,"ayanamsa":25.2966}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"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 Pratipada · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2103 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 7, 2103 CE for Ranchi, Jharkhand: Śukla Pratipada, sūryodaya 05:12, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2103-05-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2103-05-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2103-05-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2103-05-07","x-default":"https://vidhyamitra.com/city/ranchi/2103-05-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:16:42.684Z","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":"2026-05-31T09:16:42.684Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:16:42.684Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}