{"id":"vidhyamitra:city-day:ranchi:2140-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2140-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2140-06-13","date_display":"June 13, 2140 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":2140,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502842.770833,"kali_year":5242,"ahargana":1914377.2708,"sun":{"sidereal_longitude":56.163,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":30.7568,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.5938,"elapsed_within_tithi_degrees":10.5938},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.7568,"elapsed_within_degrees":4.0902},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.9199},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2140,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502842.770833,"ahargana":1914377.2708,"kali_year":5242,"ayanamsa_lahiri":25.8149,"grahas":{"sun":{"sidereal_longitude":56.692858,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":29.403458,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":3.7436},"mars":{"sidereal_longitude":162.650258,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":36.901257999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":319.128958,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":12.686357999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":302.283958,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":267.0796,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":87.0796,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2140,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502842.770833,"kali_year":5242,"ahargana":1914377.2708,"sun":{"sidereal_longitude":56.163,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":30.7568,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.5938,"elapsed_within_tithi_degrees":10.5938},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.7568,"elapsed_within_degrees":4.0902},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.9199},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.744,"elongation":25.406},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.744,"opposition_distance":154.594}},"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":13.557180093881584,"dayLengthDisplay":"13 Hours 33 Mins 26 Secs","nightLengthDisplay":"10 Hours 26 Mins 34 Secs","moonriseLocal":"03:22","moonsetLocal":"16:36","rahuKala":{"name":"Rāhu Kāla","start":"06:44","end":"08:25","startHours":6.725164471484391,"endHours":8.419811983219589,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:07","end":"11:49","startHours":10.114459494954787,"endHours":11.809107006689985,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"15:12","startHours":13.503754518425183,"endHours":15.19840203016038,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:12","end":"08:39","startHours":8.193858981654895,"endHours":8.645764984784282,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:36","end":"05:57","startHours":5.595399463660925,"endHours":5.956924266164434,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:16","startHours":11.357201003560599,"endHours":12.26101300981937,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:13","end":"04:08","startHours":3.222892947231648,"endHours":4.12670495349042,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:54","end":"05:02","startHours":3.900751951925727,"endHours":5.0305169597491926,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:58","startHours":14.068637022336915,"endHours":14.972449028595687,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.387697053630777,"endHours":18.787697053630776,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:09","startHours":18.587697053630777,"endHours":19.15257955754251,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.337697053630777,"endHours":20.087697053630777,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:16","startHours":23.357201003560597,"endHours":24.261013009819372,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:02","end":"06:44","startHours":5.0305169597491926,"endHours":6.725164471484391,"quality":"auspicious"},{"name":"Kāla","start":"06:44","end":"08:25","startHours":6.725164471484391,"endHours":8.419811983219589,"quality":"inauspicious"},{"name":"Śubha","start":"08:25","end":"10:07","startHours":8.419811983219589,"endHours":10.114459494954787,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:49","startHours":10.114459494954787,"endHours":11.809107006689985,"quality":"inauspicious"},{"name":"Udveg","start":"11:49","end":"13:30","startHours":11.809107006689985,"endHours":13.503754518425183,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"15:12","startHours":13.503754518425183,"endHours":15.19840203016038,"quality":"neutral"},{"name":"Labha","start":"15:12","end":"16:54","startHours":15.19840203016038,"endHours":16.89304954189558,"quality":"auspicious"},{"name":"Amṛta","start":"16:54","end":"18:35","startHours":16.89304954189558,"endHours":18.587697053630777,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:35","end":"19:54","startHours":18.587697053630777,"endHours":19.89304954189558,"quality":"neutral"},{"name":"Labha","start":"19:54","end":"21:12","startHours":19.89304954189558,"endHours":21.19840203016038,"quality":"auspicious"},{"name":"Amṛta","start":"21:12","end":"22:30","startHours":21.19840203016038,"endHours":22.503754518425183,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"23:49","startHours":22.503754518425183,"endHours":23.809107006689985,"quality":"inauspicious"},{"name":"Śubha","start":"23:49","end":"01:07","startHours":23.809107006689985,"endHours":25.114459494954787,"quality":"auspicious"},{"name":"Roga","start":"01:07","end":"02:25","startHours":25.114459494954787,"endHours":26.41981198321959,"quality":"inauspicious"},{"name":"Udveg","start":"02:25","end":"03:44","startHours":26.41981198321959,"endHours":27.72516447148439,"quality":"inauspicious"},{"name":"Chala","start":"03:44","end":"05:02","startHours":27.72516447148439,"endHours":29.030516959749193,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:02","end":"06:02","startHours":5.0305169597491926,"endHours":6.0305169597491926,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:02","end":"07:02","startHours":6.0305169597491926,"endHours":7.0305169597491926,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:02","end":"08:02","startHours":7.0305169597491926,"endHours":8.030516959749193,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:02","end":"09:02","startHours":8.030516959749193,"endHours":9.030516959749193,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:02","end":"10:02","startHours":9.030516959749193,"endHours":10.030516959749193,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:02","end":"11:02","startHours":10.030516959749193,"endHours":11.030516959749193,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:02","end":"12:02","startHours":11.030516959749193,"endHours":12.030516959749193,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:02","end":"13:02","startHours":12.030516959749193,"endHours":13.030516959749193,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:02","end":"14:02","startHours":13.030516959749193,"endHours":14.030516959749193,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:02","end":"15:02","startHours":14.030516959749193,"endHours":15.030516959749193,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:02","end":"16:02","startHours":15.030516959749193,"endHours":16.030516959749193,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:02","end":"17:02","startHours":16.030516959749193,"endHours":17.030516959749193,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:02","end":"18:02","startHours":17.030516959749193,"endHours":18.030516959749193,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:02","end":"19:02","startHours":18.030516959749193,"endHours":19.030516959749193,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:02","end":"20:02","startHours":19.030516959749193,"endHours":20.030516959749193,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:02","end":"21:02","startHours":20.030516959749193,"endHours":21.030516959749193,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:02","end":"22:02","startHours":21.030516959749193,"endHours":22.030516959749193,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:02","end":"23:02","startHours":22.030516959749193,"endHours":23.030516959749193,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:02","end":"00:02","startHours":23.030516959749193,"endHours":24.030516959749193,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:02","end":"01:02","startHours":24.030516959749193,"endHours":25.030516959749193,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:02","end":"02:02","startHours":25.030516959749193,"endHours":26.030516959749193,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:02","end":"03:02","startHours":26.030516959749193,"endHours":27.030516959749193,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:02","end":"04:02","startHours":27.030516959749193,"endHours":28.030516959749193,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:02","end":"05:02","startHours":28.030516959749193,"endHours":29.030516959749193,"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":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.224620302364325,"eotMinutes":0.2151795986009022,"ayanamsa":25.8149}},"calendars":{"vikram_samvat":2197,"vikram_samvatsara":"Pramādī","saka_samvat":2062,"saka_samvatsara":"Śārvarī","bengali_samvat":1547,"malayalam_era":1316,"nanakshahi_year":671,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha (Adhika) Kṛṣṇa Trayodaśī · Vikram 2197 Pramādī · Śaka 2062 Śārvarī"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 June 13, 2140 CE · Ranchi, Jharkhand · Vidhyamitra","description":"June 13, 2140 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:02, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2140-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2140-06-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2140-06-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2140-06-13","x-default":"https://vidhyamitra.com/city/ranchi/2140-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:33:21.540Z","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":"2026-05-31T16:33:21.540Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:33:21.540Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}