{"id":"vidhyamitra:city-day:ranchi:1876-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1876-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1876-06-13","date_display":"June 13, 1876 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":1876,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406418.770833,"kali_year":4978,"ahargana":1817953.2708,"sun":{"sidereal_longitude":60.2526,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":310.185,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.9324,"elapsed_within_tithi_degrees":9.9324},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.185,"elapsed_within_degrees":3.5183},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.4376},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":1876,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406418.770833,"ahargana":1817953.2708,"kali_year":4978,"ayanamsa_lahiri":22.1271,"grahas":{"sun":{"sidereal_longitude":60.18336399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":306.28046399999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-1.9641},"mars":{"sidereal_longitude":81.074364,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":66.48906399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":213.388964,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":98.27196400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":317.039264,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":336.0871,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":156.0871,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1876,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406418.770833,"kali_year":4978,"ahargana":1817953.2708,"sun":{"sidereal_longitude":60.2526,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":310.185,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.9324,"elapsed_within_tithi_degrees":9.9324},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.185,"elapsed_within_degrees":3.5183},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.4376},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.964,"elongation":110.068},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.964,"opposition_distance":69.932}},"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":"05:02","sunsetLocal":"18:35","solarNoonLocal":"11:49","dayLengthHours":13.556383992315553,"dayLengthDisplay":"13 Hours 33 Mins 23 Secs","nightLengthDisplay":"10 Hours 26 Mins 37 Secs","moonriseLocal":"22:31","moonsetLocal":"09:54","rahuKala":{"name":"Rāhu Kāla","start":"15:12","end":"16:54","startHours":15.198203004768871,"endHours":16.892751003808318,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:25","end":"10:07","startHours":8.420011008611095,"endHours":10.11455900765054,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:49","end":"13:30","startHours":11.809107006689985,"endHours":13.503655005729428,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:12","end":"08:39","startHours":8.194071275405836,"endHours":8.645950741816355,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:36","end":"05:57","startHours":5.595764343545356,"endHours":5.9572679166737705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:16","startHours":11.357227540279466,"endHours":12.260986473100504,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:13","end":"04:08","startHours":3.223397144890134,"endHours":4.12715607771117,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:54","end":"05:02","startHours":3.9012163445059116,"endHours":5.030915010532207,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:58","startHours":14.068504338742574,"endHours":14.97226327156361,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.38729900284776,"endHours":18.78729900284776,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:09","startHours":18.58729900284776,"endHours":19.152148335860907,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.33729900284776,"endHours":20.08729900284776,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:16","startHours":23.357227540279467,"endHours":24.260986473100502,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:02","end":"06:44","startHours":5.030915010532207,"endHours":6.725463009571651,"quality":"inauspicious"},{"name":"Udveg","start":"06:44","end":"08:25","startHours":6.725463009571651,"endHours":8.420011008611095,"quality":"inauspicious"},{"name":"Chala","start":"08:25","end":"10:07","startHours":8.420011008611095,"endHours":10.11455900765054,"quality":"neutral"},{"name":"Labha","start":"10:07","end":"11:49","startHours":10.11455900765054,"endHours":11.809107006689985,"quality":"auspicious"},{"name":"Amṛta","start":"11:49","end":"13:30","startHours":11.809107006689985,"endHours":13.503655005729428,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"15:12","startHours":13.503655005729428,"endHours":15.198203004768871,"quality":"inauspicious"},{"name":"Śubha","start":"15:12","end":"16:54","startHours":15.198203004768871,"endHours":16.892751003808318,"quality":"auspicious"},{"name":"Roga","start":"16:54","end":"18:35","startHours":16.892751003808318,"endHours":18.58729900284776,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:35","end":"19:54","startHours":18.58729900284776,"endHours":19.892751003808318,"quality":"inauspicious"},{"name":"Śubha","start":"19:54","end":"21:12","startHours":19.892751003808318,"endHours":21.19820300476887,"quality":"auspicious"},{"name":"Roga","start":"21:12","end":"22:30","startHours":21.19820300476887,"endHours":22.503655005729428,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"23:49","startHours":22.503655005729428,"endHours":23.809107006689985,"quality":"inauspicious"},{"name":"Chala","start":"23:49","end":"01:07","startHours":23.809107006689985,"endHours":25.11455900765054,"quality":"neutral"},{"name":"Labha","start":"01:07","end":"02:25","startHours":25.11455900765054,"endHours":26.420011008611098,"quality":"auspicious"},{"name":"Amṛta","start":"02:25","end":"03:44","startHours":26.420011008611098,"endHours":27.72546300957165,"quality":"auspicious"},{"name":"Kāla","start":"03:44","end":"05:02","startHours":27.72546300957165,"endHours":29.03091501053221,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:02","end":"06:02","startHours":5.030915010532207,"endHours":6.030915010532207,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:02","end":"07:02","startHours":6.030915010532207,"endHours":7.030915010532207,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:02","end":"08:02","startHours":7.030915010532207,"endHours":8.030915010532208,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:02","end":"09:02","startHours":8.030915010532208,"endHours":9.030915010532208,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:02","end":"10:02","startHours":9.030915010532208,"endHours":10.030915010532208,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:02","end":"11:02","startHours":10.030915010532208,"endHours":11.030915010532208,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:02","end":"12:02","startHours":11.030915010532208,"endHours":12.030915010532208,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:02","end":"13:02","startHours":12.030915010532208,"endHours":13.030915010532208,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:02","end":"14:02","startHours":13.030915010532208,"endHours":14.030915010532208,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:02","end":"15:02","startHours":14.030915010532208,"endHours":15.030915010532208,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:02","end":"16:02","startHours":15.030915010532208,"endHours":16.03091501053221,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:02","end":"17:02","startHours":16.03091501053221,"endHours":17.03091501053221,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:02","end":"18:02","startHours":17.03091501053221,"endHours":18.03091501053221,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:02","end":"19:02","startHours":18.03091501053221,"endHours":19.03091501053221,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:02","end":"20:02","startHours":19.03091501053221,"endHours":20.03091501053221,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:02","end":"21:02","startHours":20.03091501053221,"endHours":21.03091501053221,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:02","end":"22:02","startHours":21.03091501053221,"endHours":22.03091501053221,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:02","end":"23:02","startHours":22.03091501053221,"endHours":23.03091501053221,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:02","end":"00:02","startHours":23.03091501053221,"endHours":24.03091501053221,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:02","end":"01:02","startHours":24.03091501053221,"endHours":25.03091501053221,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:02","end":"02:02","startHours":25.03091501053221,"endHours":26.03091501053221,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:02","end":"03:02","startHours":26.03091501053221,"endHours":27.03091501053221,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:02","end":"04:02","startHours":27.03091501053221,"endHours":28.03091501053221,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:02","end":"05:02","startHours":28.03091501053221,"endHours":29.03091501053221,"planetary_lord":"Saturn"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.213340910176203,"eotMinutes":0.2151795986009022,"ayanamsa":22.1271}},"calendars":{"vikram_samvat":1933,"vikram_samvatsara":"Virodhi","saka_samvat":1798,"saka_samvatsara":"Dhātṛ","bengali_samvat":1283,"malayalam_era":1052,"nanakshahi_year":407,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram 1933 Virodhi · Śaka 1798 Dhātṛ"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi_ingress":"Mithuna"},"precedence":5}],"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 June 13, 1876 CE · Ranchi, Jharkhand · Vidhyamitra","description":"June 13, 1876 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:02, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1876-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1876-06-13","sa":"https://sa.vidhyamitra.com/city/ranchi/1876-06-13","hi":"https://hi.vidhyamitra.com/city/ranchi/1876-06-13","x-default":"https://vidhyamitra.com/city/ranchi/1876-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:24:56.119Z","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":"2026-06-02T10:24:56.119Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:24:56.119Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}